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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-8-4891-2015</article-id><title-group><article-title>EARLINET Single Calculus Chain – overview on   methodology <?xmltex \hack{\break}?> and strategy</article-title>
      </title-group><?xmltex \runningtitle{EARLINET Single Calculus Chain -- overview on methodology and strategy}?><?xmltex \runningauthor{G.~D'Amico et~al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>D'Amico</surname><given-names>G.</given-names></name>
          <email>giuseppe.damico@imaa.cnr.it</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Amodeo</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Baars</surname><given-names>H.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-2316-8960</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1 aff3">
          <name><surname>Binietoglou</surname><given-names>I.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0065-9791</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Freudenthaler</surname><given-names>V.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2 aff5">
          <name><surname>Mattis</surname><given-names>I.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Wandinger</surname><given-names>U.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Pappalardo</surname><given-names>G.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Consiglio Nazionale delle Ricerche, Istituto di Metodologie
per l'Analisi Ambientale (CNR-IMAA), Tito Scalo, <?xmltex \hack{\break}?> Potenza, Italy</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Leibniz Institute for Tropospheric Research, Leipzig, Germany</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>National Institute of R&amp;D for Optoelectronics INOE, Bucharest, Romania</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Ludwig-Maximilians-Universität, Meteorologisches Institut
Experimentelle Meteorologie, Munich, Germany</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Deutscher Wetterdienst, Meteorologisches Observatorium Hohenpeißenberg, Hohenpeißenberg, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">G. D'Amico  (giuseppe.damico@imaa.cnr.it)</corresp></author-notes><pub-date><day>20</day><month>November</month><year>2015</year></pub-date>
      
      <volume>8</volume>
      <issue>11</issue>
      <fpage>4891</fpage><lpage>4916</lpage>
      <history>
        <date date-type="received"><day>20</day><month>March</month><year>2015</year></date>
           <date date-type="rev-request"><day>13</day><month>May</month><year>2015</year></date>
           <date date-type="rev-recd"><day>29</day><month>October</month><year>2015</year></date>
           <date date-type="accepted"><day>29</day><month>October</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015.html">This article is available from https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015.pdf</self-uri>


      <abstract>
    <p>In this paper we describe the EARLINET Single Calculus Chain (SCC), a tool for
the automatic analysis of lidar measurements. The development of this
tool started in the framework of EARLINET-ASOS (European Aerosol
Research Lidar Network – Advanced Sustainable Observation System); it was extended within ACTRIS (Aerosol, Clouds and
Trace gases Research InfraStructure Network), and it is continuing within
ACTRIS-2. The main idea was to develop a data processing chain that allows all
EARLINET stations to retrieve, in a fully automatic way, the aerosol
backscatter and extinction profiles starting from the raw lidar data
of the lidar systems they operate. The calculus subsystem of the SCC
is composed of two modules: a pre-processor module which handles the
raw lidar data and corrects them for instrumental effects and an optical
processing module for the retrieval of aerosol optical products from
the pre-processed data. All input parameters needed to perform the
lidar analysis are stored in a database to keep track of all changes which may occur for any
EARLINET lidar system over the time. The two calculus modules are coordinated and synchronized by an additional module (daemon)
which makes the whole analysis process fully automatic. The end user
can interact with the SCC via a user-friendly web interface.
All SCC modules are developed using open-source and freely available
software packages.
The final products retrieved by the SCC fulfill all requirements of the EARLINET quality assurance
programs on both instrumental and algorithm levels. Moreover, the
manpower needed to provide aerosol optical products is greatly reduced
and thus the near-real-time availability of lidar data is improved.
The high-quality of the SCC products is proven by the good
agreement between the SCC analysis, and the corresponding independent manual
retrievals. Finally, the ability of the SCC to provide high-quality
aerosol optical products is demonstrated for an EARLINET intense
observation period.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>In general, the contribution of aerosols to atmospheric processes is not
fully documented. In particular, an important gap needs to be filled
to clarify the role of aerosols in the Earth radiation budget and in
climate change <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx19" id="paren.1"/>. The aerosols' high variability in terms of type, time and space makes
it quite difficult to understand the atmospheric processes in
which aerosols are involved <xref ref-type="bibr" rid="bib1.bibx12" id="paren.2"/>. Therefore, there is a strong need from the scientific community to have access to
comprehensive aerosol data sets in which vertically resolved aerosol
optical parameters can be found. Lidar measurements, providing high-resolution
profiles (in both space and time) of aerosol optical properties, meet
this demand entirely as they allow the full characterization of each layer
present in the atmosphere.</p>
      <p><?xmltex \hack{\newpage}?>Another important aspect for the study of aerosols on a planetary scale is the increased spatial coverage. To
support this need, several coordinated lidar networks have been established in the
last years <xref ref-type="bibr" rid="bib1.bibx8" id="paren.3"><named-content content-type="pre">e.g.,</named-content></xref>. In particular, EARLINET (European Aerosol
Research Lidar Network) has been operated in Europe since the year 2000 and provides
the scientific community with the most complete database of vertically
resolved aerosol optical parameters across Europe <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx38" id="paren.4"/>. The EARLINET data can be used for
several purposes including model evaluation and assimilation, full
exploitation of satellite data, the study of aerosol long-range transport
mechanisms, and the monitoring of special events like volcanic eruptions, large forest
fires or dust outbreaks.</p>
      <p>Within the EARLINET-ASOS (European Aerosol
Research Lidar Network – Advanced Sustainable Observation System)  project, great attention  was
paid to the optimization of lidar data processing (<uri>http://www.earlinetasos.org</uri>). The core of this
activity was the development of the EARLINET Single Calculus Chain (SCC), a tool
for the automatic evaluation of lidar data from raw signals up to the final
products. The main advantage of this approach is that it increases the rate of population of the aerosol database (which is the
main outcome of any lidar network) and to promote the usage of
vertically resolved aerosol parameters within the scientific community.</p>
      <p>This paper is the first of three publications about the SCC and it
presents an overview of the SCC and its validation. Two separate
papers are used to describe the technical details of the SCC
pre-processing module <xref ref-type="bibr" rid="bib1.bibx10" id="paren.5"/> and of the optical processing
module <xref ref-type="bibr" rid="bib1.bibx28" id="paren.6"/>, respectively.</p>
      <p>A general overview of the SCC is provided in Sect. <xref ref-type="sec" rid="Ch1.S2"/> of this paper. Section <xref ref-type="sec" rid="Ch1.S3"/>
illustrates the SCC structure by providing technical details of all
SCC modules. The strategy adopted to validate the SCC is described in Sect. <xref ref-type="sec" rid="Ch1.S4"/>, and, finally, an example of the application of the SCC
as a tool to provide network lidar data in near-real time is given in Sect. <xref ref-type="sec" rid="Ch1.S5"/>.</p>
</sec>
<sec id="Ch1.S2">
  <title>SCC description</title>
      <p>The SCC is an official EARLINET tool. It has been developed to accomplish the fundamental need of any
coordinated lidar network to have an optimized and automatic tool
providing high-quality aerosol properties. Currently, it has been used
by 20 different EARLINET stations which have submitted about 2600 raw data files covering a very large time
period (2001–2015). Moreover, more than 5000 SCC optical products (about
3600 aerosol backscatter profiles and 1400 aerosol extinction profiles) have been
calculated and used for different purposes like analysis of instrument
intercomparisons <xref ref-type="bibr" rid="bib1.bibx41" id="paren.7"/>, air-quality model assimilation
experiment <xref ref-type="bibr" rid="bib1.bibx42 bib1.bibx37" id="paren.8"/>, and ongoing long-term comparisons with
manually retrieved products <xref ref-type="bibr" rid="bib1.bibx39" id="paren.9"/>. The large usage and the
long-term plan for the centralized processing system make the SCC the
standard tool for the automatic analysis of EARLINET lidar data.</p>
<sec id="Ch1.S2.SS1">
  <title>General considerations</title>
      <p>Main concepts at the base of the SCC are automatization
and fully traceability of quality-assured aerosol
optical products. At network level, the SCC ensures high-quality products by
implementing quality checks on both raw lidar data and final optical
products. Such quality checks are part of a rigorous quality assurance
program developed within EARLINET. In many specific situations, it is also quite important that the retrieved
products are available in  real time or in near-real time for large
geographical areas (on a continental scale). For example, this is the
case when vertically resolved lidar products are used to improve the
forecast of air-quality models, to validate satellite sensors
or models, or to monitor special events. Without a common analysis
tool it could be difficult to assure at the same time homogenous
high-quality products and short-time availability of the data, because
high-quality manual lidar data analysis usually requires time and
manpower. Moreover, different groups within the network may use
different retrieval approaches to derive the same type of aerosol
parameter with a consequent loss in the homogeneity of the network data set.</p>
      <p>At the same time, in order to make the use of the SCC really
sustainable, expandability and flexibility should be assured to
guarantee the analysis of the data measured by new or upgraded lidar
systems. Excluding few exceptions, a lidar network is usually formed by different
and not standardized lidar systems ranging from single-wavelength elastic-backscatter lidar to advanced
multi-wavelength Raman systems. A system is frequently improved or
upgraded from a basic configuration to a more complex one by adding,
for example, new detection channels.  As a consequence, the SCC must be able to handle data acquired by different instruments which usually require different
instrumental corrections and also different approaches to get quality-assured
products. EARLINET is a good example showing how heterogenous the lidar systems
forming a network can be. Most of the EARLINET lidar systems are home-made
or highly customized, and typically they differ in terms of
emitted or detected wavelengths, acquisition mode (analog and/or
photon-counting), space and time resolution, and detection
systems. A network like AERONET <xref ref-type="bibr" rid="bib1.bibx17" id="paren.10"/> does not suffer from this problem as it is based on the same standardized
instrument. Therefore, a common scheme for
the analysis of raw data does not need to take many different
instrumental aspects into account and, thus, allows for reduced development complexity.</p>
      <p><?xmltex \hack{\newpage}?>In addition, the EARLINET quality assurance program
on both instrumental <xref ref-type="bibr" rid="bib1.bibx24 bib1.bibx16" id="paren.11"/> and
algorithm levels <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx35" id="paren.12"/> puts more
constraints on the SCC development. In particular, it is required that
each SCC product has been measured with a lidar system that passed the instrumental quality
assurance tests, and it has been calculated applying certified
algorithms.</p>
      <p>With the SCC it is possible to calculate aerosol extinction
and backscatter coefficient profiles. Especially in case
of multi-wavelength lidar measurements, this set of optical parameters can provide a full characterization
of atmospheric aerosol from both quantitative and qualitative
point of view <xref ref-type="bibr" rid="bib1.bibx1 bib1.bibx40 bib1.bibx25 bib1.bibx31" id="paren.13"/>.
Moreover, these products can be used
as input to infer microphysical properties of atmospheric
particles <xref ref-type="bibr" rid="bib1.bibx29 bib1.bibx30 bib1.bibx6" id="paren.14"/>.
It is important to stress that two independent SCC modules for the
retrieval of microphysical properties of the atmospheric aerosols have
been already developed <xref ref-type="bibr" rid="bib1.bibx32" id="paren.15"/>. The main products of these modules are
particle effective radius, volume concentration, and refractive index,
which are calculated with a semi-automated and unsupervised algorithm. Although operational
versions of these modules have been released, they are not
included in the automatic structure of the SCC yet. Mainly,
instability problems make the full automatization of lidar
microphysical retrievals a quite challenging task.</p>
      <p>The high flexibility and expandability of the SCC also makes it possible
to use the tool in a more general context. As EARLINET already represents a quite complete example of
all available lidar system types, it is expected to adapt the SCC
easily to run in more extended networks like GALION (GAW Aerosol
LIdar Observation Network).</p>
      <p>To our knowledge, the SCC is the first tool that can be used to analyse
raw data measured by many different types of lidar systems in a fully automatic way. Other existing automatic tools for the analysis
of lidar data are usable only by specific lidar systems and cannot
be easily extended to retrieve aerosol properties of whole lidar
networks composed by different instruments. Another
unique characteristic of the SCC is that its aerosol optical products are
delivered according to a rigorous quality assurance program to
provide always the highest possible quality for products at network level.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <title>Requirements</title>
      <p>In this section the requirements to accomplish all key
points explained in the previous section are described.
In the framework of the EARLINET quality assurance program several algorithms for the retrieval of aerosol optical parameters
have been inter-compared to evaluate their performances in providing
high-quality aerosol optical products <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx35" id="paren.16"/>.
This inter-comparison was mainly addressed
to asses a common European standard for the quality assurance of lidar
retrieval algorithms and to ensure that the data provided by each individual
station are permanently of the highest possible quality according to
common standards. All different quality-assured analysis algorithms developed within EARLINET have been collected, critically evaluated with respect to their general applicability, optimized to make them fully automatic, and finally implemented in the SCC. A critical point was the implementation of reliable and robust algorithms to assure accurate
calibration of aerosol backscatter profiles. In a fully automatic
analysis scenario, particular attention should be devoted to this issue to avoid large inaccuracy in the final
optical products. Noisy raw lidar signals or the presence of aerosol
within the calibration region can induce large errors in the lidar
calibration constant <xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx22" id="paren.17"/>.</p>
      <p>The SCC has been developed having in mind the following concepts:
platform independency, open-source philosophy, standard data format (NetCDF), flexibility through the implementation
of different retrieval procedures, expandability to easily include new
systems or new system configurations. All libraries and compilers
needed to install and run the SCC are open source and freely available. The SCC can operate on
a centralized server or on a local PC. The users can connect to the
machine on which the SCC is running and use or configure the SCC
retrieval procedures for their data using a web interface. The
centralized server solution (which is the preferred way of using the
tool) has many advantages compared to local installation, especially when the SCC is used within a coordinated
lidar network as EARLINET. First of all, it is possible to keep track of all
system configurations of all systems and also to certify which
configurations are quality assured. Moreover, in this way it is always
guaranteed that the same and latest SCC version is used to produce optical
products.</p>
      <p>Particular attention has been paid to the design of a suitable NetCDF structure for the SCC input file as it needs to
fulfill the following constraints.
<list list-type="order"><list-item>
      <p>It should contain the raw lidar data as they are measured by the
lidar detectors (output voltages for analog lidar channels, counts for
photon-counting channels) without any correction earlier applied by
the user. This is particularly important to assure the quality
of the final products: all necessary instrumental
corrections should be applied by the SCC using quality-assured
procedures. For this reason a specific pre-processing SCC
module has been developed.</p></list-item><list-item>
      <p>It should contain additional input parameters needed for the
analysis. As it will be explained in the next section, the main part
of the required input parameters is efficiently stored in a SCC database. However, there are some parameters easily changing from
measurement to measurement (e.g., electronic background or
number of accumulated laser shots) that usually cannot be stored in a database. The
only way to pass such parameters to the SCC is via the
input file. To improve the self-consistency of the SCC input file, it
has been allowed to include in the file some
important parameters already stored in the SCC database. In case
these parameters are found in the input file these values will be
used in the analysis.</p></list-item><list-item>
      <p>It should  also contain a unique method to link the information
contained in the input file with the ones included in the SCC
database. As it will be explained in the next section, this is
assured by the definition of unique channel IDs which identify the
different lidar channels.</p></list-item><list-item>
      <p>It should allow efficient data processing. As the SCC has been
designed to be a multi-user tool it is important to improve the
computational speed as much as possible to avoid long delay in getting the final
products. This has been accomplished by putting the time series of all channels available for a lidar
configuration in a single SCC input
file.</p></list-item></list></p>
      <p>Finally, as the SCC
products need to be uploaded to the EARLINET database, the output file structure is fully
compliant with the structure of EARLINET <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-files and
<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>-files. The <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-files contain the particle
extinction coefficient profiles and optionally the backscatter coefficient profiles derived from Raman
observations at the same effective vertical resolution. The
<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>-files contain the particle backscatter coefficient
profiles derived either from elastic-backscatter signals (Klett
or iterative method) or from the ratio of elastic-backscatter
and nitrogen Raman signals (Raman method) at highest possible vertical resolution. More details about EARLINET
<inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>- and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>-files are provided elsewhere
<xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx38" id="paren.18"/>.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <title>SCC structure</title>
      <p>Figure <xref ref-type="fig" rid="Ch1.F1"/> shows the general structure of the SCC which
consists of several independent but inter-connected modules. Basically
there is a module responsible for the pre-processing of raw lidar data,
a module for the retrieval of the aerosol extinction and backscatter
profiles, a daemon (computer program running as a background process
without direct control of an interactive user) which automatically starts the pre-processing or the
processing module when it is necessary, a database to collect all
input parameters needed for the analysis, and finally a web
interface. Once the new raw data file is submitted to the SCC via the
web interface, the daemon automatically starts the pre-processing module
and in succession the processing module. The status of the analysis in
each step can be monitored using the web interface and the
pre-processed or the optical results can be downloaded.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Block structure of the Single Calculus Chain.
</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f01.pdf"/>

      </fig>

<?xmltex \hack{\newpage}?>
<sec id="Ch1.S3.SS1">
  <title>SCC database</title>
      <p>The retrievals of aerosol optical products from
lidar signals require a large number of input parameters to be used in both
pre-processing and processing phase. Two different types of parameters are needed: <italic>experimental</italic> (which are mainly used
to correct instrumental effects) and <italic>configurational</italic> (which define the way
to apply a particular analysis procedure). An example of experimental
parameter is the dead time of a photon-counting system <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx43" id="paren.19"/>. Once measured,
the value of the dead time for a particular photon-counting lidar
channel can be included in the database among the other parameters
that characterize the channel and, consequently, it will be used to
correct the corresponding raw lidar data. The dead time is an example of an experimental parameter that, in general,
changes from channel to channel. There are other experimental
parameters which may be shared by multiple channels, e.g.,
telescope or laser characteristics (several lidar channels usually
share the same laser or the same telescope).</p>
      <p>Configuration parameters are the ones used to identify which
algorithm, among the implemented ones, has to be used to calculate
a particular product. In general, there are multiple
quality-assured algorithms in the SCC to calculate a particular aerosol
product. For instance, for the particle backscatter coefficient
profiles derived from elastic-backscatter signals both
the iterative <xref ref-type="bibr" rid="bib1.bibx11" id="paren.20"/> and the Klett method
<xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx22 bib1.bibx14" id="paren.21"/> have been implemented. The
data provider can choose which one to use by setting a corresponding parameter
in the database.</p>
      <p>In general, both configuration and experimental parameters can change
from one lidar system to another and, even for the same lidar system,
they can change for the different configurations under which the lidar
can run. For example, a lidar can deliver extinction and backscatter
coefficient profiles from Raman observations in night-time
configuration, whereas elastic-backscatter methods are applied under
daytime conditions.</p>
      <p>In this complex context, a relational database represents an optimal
solution to handle, in an efficient way, all this information. For
this reason, a SCC database has been implemented to store the input
parameters for all EARLINET systems and, at the same time, to
access the subset of all parameters associated to a particular lidar
configuration.
A multiple-table MySQL database has been used for that purpose.</p>
      <p>In the SCC database, the experimental parameters are grouped in terms
of stations, lidar configurations and lidar
channels. Figure <xref ref-type="fig" rid="Ch1.F2"/> shows a simplified version
of the SCC database structure. Each station is linked to one or
more lidar configurations which in turn are linked to one or more
lidar channels. Moreover, each lidar configuration is
associated also to a set of products that the
SCC should calculate. Basically, the products are specified in
terms of type (e.g., aerosol extinction, backscatter by Raman
method, etc.) and “usecase” which, as it will be explained later,
represents the way to calculate the product. Additionally, for a particular product, it is
possible to fix a set of calculation options, e.g.,
the pre-processing vertical resolution, the backscatter
calibration method, the maximum statistical error we would like to
have on the final products and so on.</p>
      <p>Finally, when lidar measurement sessions are submitted to the SCC they are linked
to a specific lidar configuration. In this way, with specific
SCC database queries, it is possible to get any detail needed for
the analysis of the lidar measurements.</p>
      <p>On one hand, a so structured database allows us to keep track of all
information used to generate a particular SCC product assuring
the full traceability; on the other hand, it guarantees the
implementation of a reliable and rigorous quality assurance
program at network level.</p>
</sec>
<sec id="Ch1.S3.SS2">
  <title>Pre-processor module (ELPP: EARLINET Lidar Pre-Processor)</title>
      <p>The ELPP module implements the corrections to
be applied to the raw lidar signals before they can be used to derive
aerosol optical properties. As the details of this module are described in
<xref ref-type="bibr" rid="bib1.bibx10" id="normal.22"/> here just the main characteristics are reported.</p>
      <p>The main reason for which we implemented a pre-processor module
along with a optical processing module is that the EARLINET
quality assurance program does not apply only to the retrieval of
aerosol optical properties but also to the procedures needed to correct
instrumental effects. Moreover, by handling the raw data it
is possible to identify problems in lidar signals that may be not
so evident in already pre-processed signals. The raw lidar
signals have to be submitted in a NetCDF format with a well-defined structure
<xref ref-type="bibr" rid="bib1.bibx10" id="paren.23"/>. In particular, the raw lidar data should consist of
the signal as detected by the lidar detectors. In case of analog detection mode
the signal should be provided in mV, while for photon-counting mode it
should be expressed in pure counts.
According to the specific lidar system and to the input parameters
defined both in the SCC database and in the NetCDF input file, different types of
operations can be applied on raw data. To make the SCC a useful tool
for all EARLINET systems it is required that the pre-processing module
implements all different instrumental corrections defined for the
different EARLINET lidars. The complete description of all
these corrections is given in <xref ref-type="bibr" rid="bib1.bibx10" id="normal.24"/>, here we just report a list
of the most common ones: dead-time correction, trigger-delay correction,
overlap correction, background subtraction (both atmospheric and
electronic).
Besides these corrections, the pre-processor module is also
responsible for generating the molecular signal needed to calculate the
aerosol optical products. This can be done by using a standard
model atmosphere (e.g., US 1976) or correlative radiosounding profiles.
Finally, the pre-processor module implements near- and far-range automatic signal gluing, vertical interpolation, time
averaging and statistical uncertainty propagation <xref ref-type="bibr" rid="bib1.bibx3" id="paren.25"/>.
The outputs of the pre-processor module are intermediate pre-processed NetCDF files
which will be the input files for the optical processor
module. These files contain the pre-processed range-corrected lidar
signals, the statistical uncertainties, and the corresponding molecular atmospheric profiles. As
these quantities can be used in many different fields of application
(quick-look generation, model assimilation, inter-comparison
campaigns) the intermediate NetCDF files can be considered
additional (non-calibrated) products provided by the SCC.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Simplified version of the SCC database structure. Multiple
arrows indicate one-to-many relationship while single arrows
represent one-to-one correspondence.
</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f02.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><caption><p>Two examples of SCC usecases corresponding to the
calculation of particle backscatter coefficient determined
by the use of Raman signals. In particular, the usecase 0 (on the left) can be used for
a lidar system measuring only the elastic backscattered signal
(elT) and the corresponding <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman backscattered signal
(vrRN2). The usecase 13 (on the right) refers to a more complex lidar configuration
in which there are two different telescopes. Four lidar
channels are detected by each telescope: one elastic backscattered
signal split in analog (elTan) and photon-counting (elTpc)
detection channels and one <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman backscattered signal split in analog
(vrRN2an) and photon-counting (vrRN2pc) detection mode.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f03.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS3">
  <title>Optical processor module (ELDA: EARLINET Lidar Data Analyzer)</title>
      <p>The ELDA module applies the algorithms for the retrieval of aerosol
optical parameters to the pre-processed signals produced by the
pre-processor module. All details of the ELDA module are described in
<xref ref-type="bibr" rid="bib1.bibx28" id="normal.26"/>, therefore only a very brief overview of its main
functionalities is given here. ELDA can provide aerosol products in a flexible way choosing from a set of possible pre-defined analysis
procedures (usecases). ELDA enables the retrieval of particle
backscatter coefficients by using both the Klett method
<xref ref-type="bibr" rid="bib1.bibx21 bib1.bibx14" id="paren.27"/> and the iterative algorithm
<xref ref-type="bibr" rid="bib1.bibx11" id="paren.28"/>, the calculation of particle extinction
coefficient profiles after the Raman method
<xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx34" id="paren.29"/>, and finally the computation of
particle backscatter coefficient profiles after the Raman method
<xref ref-type="bibr" rid="bib1.bibx5" id="paren.30"/>. An automatic vertical-smoothing and time-averaging
technique selects the optimal resolution as a function of altitude on
the basis of different thresholds on product uncertainties fixed in
the SCC database for each product <xref ref-type="bibr" rid="bib1.bibx28" id="paren.31"/>. The final optical
products are written in NetCDF files with a structure fully compliant
with the EARLINET <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>-files and <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>-files.</p>
</sec>
<sec id="Ch1.S3.SS4">
  <title>Usecase</title>
      <p>To improve the flexibility of the SCC, the concept of “usecase”
has been introduced. The SCC utilizes the usecases to adapt the analysis
of lidar signals to a specific lidar configuration. Each usecase
identifies a particular way to handle lidar data. An example on how
the usecases are defined is illustrated in Fig. <xref ref-type="fig" rid="Ch1.F3"/>.  In
the left part of the figure usecase 0 for the calculation of the
backscatter coefficient after the Raman method is schematically shown. This usecase refers to
a basic Raman lidar configuration where only an elastic
signal (elT) and the corresponding vibrational-rotational <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman
signal (vrRN2) are detected. These two signals are pre-processed by the SCC
pre-processor module and the results are saved in a NetCDF
intermediate file. Then ELDA ingests the preprocessed signals and
delivers the particle backscatter coefficient profile as final result. In the
right part of Fig. <xref ref-type="fig" rid="Ch1.F3"/> a more complex
usecase (the usecase 13) for aerosol backscatter
calculations after the Raman method is reported. It corresponds to a lidar system that uses two different
telescopes: one optimized to detect the signal backscattered by the
near-range atmospheric region and another one optimized to detect the
atmospheric signal from the far range. Moreover, for both
telescopes the elastic and the vibrational-rotational <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman signals are
detected in analog and photon-counting mode. In this case, the SCC should
combine eight raw signals to get a unique particle backscatter
coefficient profile. Looking at Fig. <xref ref-type="fig" rid="Ch1.F3"/> we can see the details
of this combination for the usecase 13.  First, the analog and the
corresponding photon-counting signals are combined by the pre-processor
module.  This step results in four signals being reported in the
intermediate NetCDF file. These signals correspond to the combined (analog and photon-counting)
elastic and vibrational-rotational <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman signals
detected by the near-range and far-range telescopes. The ELDA
module combines these four pre-processed signals and retrieves two different backscatter
coefficient profiles (one for the near-range and the other for
the far-range). Finally, these products are glued together to get a single
particle backscatter coefficient profile.</p>
      <p>A total of 34 different usecases have been defined and implemented
within the SCC for the calculation of all optical
products. A schematic description of all implemented usecases is
provided in the Appendix.  This set of usecases
assures that all different EARLINET lidar setups can be processed by
the SCC. Moreover, we may have further flexibility choosing among the
different usecases compatible for a fixed lidar configuration.</p>
      <p>Finally, the concept of usecase improves also the expandability of the
SCC: to implement a new lidar configuration in the SCC it is sufficient to
implement a new usecase, if the ones already defined are not compatible
with it.</p>
</sec>
<sec id="Ch1.S3.SS5">
  <title>SCC daemon module</title>
      <p>The SCC database, the ELPP and ELDA modules are well separated objects
that need to act in a coordinated and synchronized way. When
a set of raw lidar data is submitted to the SCC a new entry is created in the
SCC database. As soon as this operation is completed, the
pre-processing module should be started to treat the submitted
measurements. As soon as there are pre-processed data available, the
ELDA module should be started to retrieve the aerosol optical
products. All of these operations are performed by the module SCC daemon.
This module is a multithread process running continuously in the
background, and it is responsible to start thread instances for the
pre-processor or the optical processor module when it is necessary.
Another important function of the SCC daemon is to monitor the status
of started modules and to track the corresponding exit status in the
SCC database.</p>
      <p>As the SCC is mainly designed to run on a single server where
multiple users can perform  different lidar analyses at the same time,
the SCC daemon has been developed to act in a multithread
environment. In this way, different processes can be started in
parallel by the SCC daemon enhancing the efficiency of the whole
SCC.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><caption><p>Comparison of backscatter coefficient profiles at
1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> derived with the iterative method for five lidar
systems participating in the EARLI09 inter-comparison campaign. All
profiles refer to the measurement session taken from
21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> on 25 May 2009. The profiles in blue are the analyses provided by
the originator of the data using his/her own analysis software. The
profiles in red are the ones retrieved by the SCC. From left to
right, upper panel: RALI, MARTHA; middle panel: Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>,
MSTL-2;
bottom panel: MUSA.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f04.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S3.SS6">
  <title>Web interface</title>
      <p>This module represents the interface between the raw data provider and the
SCC. In particular, the SCC end-user needs to interact only
with the SCC database because, as already mentioned, all other
analysis procedures are handled by the SCC daemon automatically.
The web interface provides a user-friendly way to interact with
the SCC database by using any of
available web browsers. Via the web interface it is possible
to do the following:
<list list-type="order"><list-item>
      <p>change or visualize all input parameters for a particular
lidar system or add a new system;</p></list-item><list-item>
      <p>upload data to the SCC server and register the measurements in
the SCC database. Along with the raw lidar data it is also possible to
upload ancillary files, e.g., correlative sounding
profiles and overlap correction functions which can be used in the
analysis. All of these files should be in NetCDF format with a well-defined structure. The interface does not allow the upload
of files that are in wrong format or not compliant with the defined
structure;</p></list-item><list-item>
      <p>visualize the status of the SCC analysis. In case of failure a specific error message is shown so that the user can easily figure
out the reason for the failure;</p></list-item><list-item>
      <p>download the pre-processed or the optical processed data from the
server. In particular, it is possible to visualize the calculated
profiles of aerosol optical products;</p></list-item><list-item>
      <p>re-apply the SCC on an already analysed measurement.</p></list-item></list></p>
      <p>The web interface has been developed in a way that the above actions
can be performed depending on different types of accounts. For
instance, users belonging to a particular lidar station cannot modify
any input parameters for a lidar system linked to a different
lidar station. It is also possible, e.g., to define users that can only
perform analysis and cannot change input parameters.</p>
      <p>Moreover, the processing status of each measurement can be also
monitored using a web API (application programming interface). Using
this API, the SCC can be tightly integrated to each station
processing system making the process of submission of the raw data and
the corresponding analysis fully automatic.</p>
      <p>Finally, using the web interface it is possible to have access to the EARLINET Handbook of Instrumentation (HOI) where all
instrumental characteristics of the lidar systems registered
in the SCC database are reported. The main goal of the HOI is to collect all characteristics
of all EARLINET lidar systems and to make this information available
for the end-user in an efficient and user-friendly way. For this
reason, the information in the HOI is grouped in terms of different
subsystems composing a complete lidar system: laser source,
telescope, spectral separation, acquisition system. Additional
information concerning the station running the lidar system is also
provided, including a history of any changes made to the lidar in question.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><caption><p>Comparison of backscatter coefficient profiles at
355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> derived with the Raman method for five lidar
systems participating in the EARLI09 inter-comparison campaign. All
profiles refer to the measurement session taken from
21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>  on 25 May 2009, and they have been
retrieved combining elastic-backscatter signals at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>
and the corresponding <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman backscatter signals at 387 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. The profiles in blue are the analyses provided by
the originator of the data using his/her own analysis software. The
profiles in red are the ones retrieved by the SCC.  From left to
right, upper panel: RALI, MARTHA; middle panel: Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>,
MSTL-2;
bottom panel: MUSA.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f05.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><caption><p>Comparison of backscatter coefficient profiles at
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> derived with the Raman method for five lidar
systems participating in the EARLI09 inter-comparison campaign. All
profiles refer to the measurement session taken from
21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>  on 25 May 2009, and they have been
retrieved combining elastic-backscatter signals at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>
and the corresponding <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman backscatter signals at 607 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. The profiles in blue are the analyses provided by
the originator of the data using his/her own analysis software. The
profiles in red are the ones retrieved by the SCC. From left to
right, upper panel: RALI, MARTHA; middle panel: Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>,
MSTL-2; bottom panel: MUSA.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f06.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><caption><p>Comparison of extinction coefficient profiles at
355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> derived with the Raman method for five lidar
systems participating in the EARLI09 inter-comparison campaign. All
profiles refer to the measurement session taken from
21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>  on 25 May 2009, and they have been retrieved using the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman
backscatter signals at 387 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. The profiles in blue are the analyses provided by
the originator of the data using his/her own analysis software. The
profiles in red are the ones retrieved by the SCC. From left to
right, upper panel: RALI, MARTHA; middle panel: Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>,
MSTL-2; bottom panel: MUSA.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f07.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><caption><p>Comparison of extinction coefficient profiles at
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> derived with the Raman method for five lidar
systems participating in the EARLI09 inter-comparison campaign. All
profiles refer to the measurement session taken from
21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> on 25 May 2009, and they have been retrieved using the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> Raman
backscatter signals at 607 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. The profiles in blue are the analyses provided by
the originator of the data using his/her own analysis software. The
profiles in red are the ones retrieved by the SCC.  From left to
right, upper panel: RALI, MARTHA; middle panel: Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>,
MSTL-2, bottom panel: MUSA.
</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f08.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <title>Validation</title>
      <p>A validation strategy to prove whether the SCC can provide quality-assured
aerosol optical products has been implemented. The performance of the
SCC has been evaluated on both synthetic and real lidar data.</p>
      <p>As a first step, the SCC has been tested with synthetic lidar signals
used during the algorithm inter-comparison exercise performed in the
framework of the EARLINET project <xref ref-type="bibr" rid="bib1.bibx35" id="paren.32"/>. This set
of synthetic signals was simulated with really realistic experimental
and atmospheric conditions to test the performance of specific
algorithms for the retrieval of particle extinction and
backscatter coefficient profile. By comparing the calculated profiles with the corresponding
input profiles used to simulate the signals it is possible to verify, if
an implemented algorithm returns reliable results. As the details of
this exercise are provided in <xref ref-type="bibr" rid="bib1.bibx28" id="normal.33"/> we just mention here
that all algorithms implemented within the SCC produce profiles
that agree with the solutions within the statistical uncertainties.</p>
      <p>As second validation level, we have evaluated the SCC performance
when it is applied to real lidar data by comparing the optical products
calculated by the SCC with the corresponding optical products
generated by the analysis software developed by different EARLINET lidar
groups and used so far to provide lidar profiles to the EARLINET
database. This comparison has been performed using two different
approaches. First, we compared the analysis for lidar
measurements taken by several lidar systems at the same
place and at the same time as in the case of the EARLI09
(EArlinet Reference Lidar Intercomparison 2009) campaign
<xref ref-type="bibr" rid="bib1.bibx15 bib1.bibx41" id="paren.34"/>. Secondly, we have used
climatological data of two EARLINET stations to evaluate possible biases in the SCC analysis not
visible from the comparison of one single case.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><caption><p>Absolute (<inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula>) and relative (<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>)
mean deviations between SCC and corresponding manual analysis. The
parameters <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are calculated
according to the Eqs. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and (<xref ref-type="disp-formula" rid="Ch1.E2"/>), respectively,
and considering all the profile altitude bins shown in
Figs. <xref ref-type="fig" rid="Ch1.F4"/>–<xref ref-type="fig" rid="Ch1.F8"/>. Backscatter
coefficient absolute differences are expressed
in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, while extinction coefficient absolute
differences are given in <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="9">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center">355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center">532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">System</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> [%]</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>[%]</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>[%]</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col9" align="left">Backscatter coefficient </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RALI</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.065</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.040</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.3</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.024</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MARTHA</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.146</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.9</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.028</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.0</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.012</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.9</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2">0.037</oasis:entry>  
         <oasis:entry colname="col3">6.9</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.008</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.9</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.027</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MSTL-2</oasis:entry>  
         <oasis:entry colname="col2">0.080</oasis:entry>  
         <oasis:entry colname="col3">14.6</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.068</oasis:entry>  
         <oasis:entry colname="col6">18.2</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">0.010</oasis:entry>  
         <oasis:entry colname="col9">4.4</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">MUSA</oasis:entry>  
         <oasis:entry colname="col2">0.025</oasis:entry>  
         <oasis:entry colname="col3">3.7</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">0.008</oasis:entry>  
         <oasis:entry colname="col6">1.7</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.005</oasis:entry>  
         <oasis:entry colname="col9"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.0</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col9" align="left">Extinction coefficient </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">RALI</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.162</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.3</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">1.362</oasis:entry>  
         <oasis:entry colname="col6">3.3</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MARTHA</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.511</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.172</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>4.5</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.754</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.5</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>6.002</oasis:entry>  
         <oasis:entry colname="col6"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>11.9</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MSTL-2</oasis:entry>  
         <oasis:entry colname="col2">4.126</oasis:entry>  
         <oasis:entry colname="col3">17.6</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">1.511</oasis:entry>  
         <oasis:entry colname="col6">6.5</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">MUSA</oasis:entry>  
         <oasis:entry colname="col2"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.574</oasis:entry>  
         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2.1</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">1.571</oasis:entry>  
         <oasis:entry colname="col6">3.0</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8"/>  
         <oasis:entry colname="col9"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<sec id="Ch1.S4.SS1">
  <title>Validation based on EARLI09 data</title>
      <p>The EARLI09 measurement campaign held in Leipzig, Germany, in May
2009 gave us the possibility to test the
SCC with measurements taken by different lidar systems under the same atmospheric
conditions. Eleven lidar systems from ten different EARLINET stations
performed one month of co-located, coordinated measurements under
different meteorological conditions.
During the campaign, the SCC pre-processor module was successfully used
to provide, in a very short time, signals corrected for instrumental
effects for all participating lidar systems <xref ref-type="bibr" rid="bib1.bibx41" id="paren.35"/>. In this way, all
signals were pre-processed with the same procedures and, consequently,
discrepancies among pre-processed signals could be only due to
unknown system effects.</p>
      <p>The data set of the EARLI09 campaign gives us a good opportunity to test not only the
pre-processor module but also all other SCC modules. After the
campaign, a few cases were selected which were characterized by data availability
from all participating systems and stable atmospheric conditions. All participants were asked to
produce their own analysis for these cases allowing us to compare
these profiles with the corresponding results of the SCC. The cases differ in terms of
atmospheric conditions and refer to both night-time and daytime measurements.</p>
      <p>For the SCC validation we focus on the case of 25 May 2009 from 21:00 to 23:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula>
when a Saharan dust event occurred over Leipzig. To
allow for a complete evaluation of the SCC retrieval algorithms, we first selected only the EARLI09 lidar
systems able to measure at same time backscatter coefficient profiles at three wavelengths (1064,
532 and 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>) and extinction coefficient profiles at 532 and
355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. Among these advanced systems, we made a further selection on the
basis of their differences in terms of technical characteristics. In
particular, we considered the Multiwavelength Raman Lidar (RALI) from
Bucharest <xref ref-type="bibr" rid="bib1.bibx33" id="paren.36"/> as an example of a commercial lidar system;
the MARTHA (Multiwavelength Atmospheric Raman Lidar
for Temperature, Humidity, and Aerosol Profiling) system from Leipzig
as an example of a home-made lidar <xref ref-type="bibr" rid="bib1.bibx26" id="paren.37"/>; the Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> from Leipzig
as representative of the Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">Net</mml:mi></mml:msup></mml:math></inline-formula> network
<xref ref-type="bibr" rid="bib1.bibx2" id="paren.38"/>; the CIS-LiNet <xref ref-type="bibr" rid="bib1.bibx9" id="paren.39"><named-content content-type="pre">Lidar Network for Commonwealth of Independent States
countries,</named-content></xref> reference system MSTL-2 from Minsk
and, finally, the MUSA (Multiwavelength System for Aerosol) from
Potenza as an EARLINET network reference system <xref ref-type="bibr" rid="bib1.bibx23" id="paren.40"/>.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F4"/> shows the backscatter coefficient profiles
at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> obtained from the elastic-backscatter signals
measured by the five lidar systems mentioned above. The profiles
obtained by the SCC are plotted in red, while the corresponding profiles provided by each group with its
own analysis software are shown in blue. The same colour convention is valid
for all other figures in this paper. The agreement between the two
analyses is generally good for all lidar systems indicating
the good performance of the algorithm for the retrieval of the aerosol
backscatter coefficient from elastic-backscatter signals implemented in the SCC.
The red profiles shown in Fig. <xref ref-type="fig" rid="Ch1.F4"/> are obtained using the iterative
method. However, we found that the SCC profiles obtained using the Klett
approach are practically indistinguishable from the ones calculated by
the iterative technique.</p>
      <p>A more quantitative comparison between SCC and manual retrievals can
be performed by calculating the mean deviation <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and the mean
relative deviation <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> defined as
            <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mo>=</mml:mo><mml:mo>〈</mml:mo><mml:msub><mml:mi>s</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>〉</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula></p><?xmltex \hack{\newpage}?>
      <p><?xmltex \hack{\noindent}?>
            <disp-formula id="Ch1.E2" content-type="numbered"><mml:math display="block"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mo mathsize="2.5em">〈</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo mathsize="2.5em">〉</mml:mo><mml:mo>,</mml:mo></mml:mrow></mml:math></disp-formula>
          where <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>s</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>m</mml:mi><mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are the values of the SCC and the manually retrieved
profile at altitude bin <inline-formula><mml:math display="inline"><mml:mi>i</mml:mi></mml:math></inline-formula>, respectively. The symbol <inline-formula><mml:math display="inline"><mml:mrow><mml:mo>〈</mml:mo><mml:mo>⋅</mml:mo><mml:mo>〉</mml:mo></mml:mrow></mml:math></inline-formula> refers to the average over the altitude scale.</p>
      <p>The values obtained for the parameters <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> starting from the profiles shown in
Fig. <xref ref-type="fig" rid="Ch1.F4"/> are summarized in the last two columns of
Table <xref ref-type="table" rid="Ch1.T1"/>. For the backscatter retrieval at
1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>, the mean relative deviations range from a maximum underestimation of
<inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>10.5 % for the RALI system to a maximum overestimation of 4.4 % for the MSTL-2 system. The EARLINET quality
requirements allow a maximum deviation of 30 % or
0.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> for the backscatter
coefficient at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx24" id="paren.41"/>. Consequently, the SCC
backscatter coefficient retrieval at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> meets the EARLINET
quality requirements for both <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> for
all the considered systems.  The highest relative mean deviation
observed for the RALI system is probably due to slightly different
calibration input parameters used in the two analyses as the infrared wavelength is quite
sensible to the calibration procedure <xref ref-type="bibr" rid="bib1.bibx13" id="paren.42"/>.</p>
      <p>The backscatter coefficient profiles at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (at
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>) derived with the Raman method from the same lidar systems
are shown in Fig. <xref ref-type="fig" rid="Ch1.F5"/> (Fig. <xref ref-type="fig" rid="Ch1.F6"/>). The manually obtained profiles agree quite well with the corresponding SCC ones,
considering the reported error bars. As shown in Table <xref ref-type="table" rid="Ch1.T1"/>, for all systems the mean deviations are larger at
355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> than at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. In particular, at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> the relative
mean deviation ranges from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>20.9  to 14.6 %, while at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>
the range is from <inline-formula><mml:math display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>9.3 to 18.2 %. According to the EARLINET requirements
deviations of aerosol backscatter coefficients at 355 and
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> have to be below 20 % or smaller than
0.5 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula><xref ref-type="bibr" rid="bib1.bibx24" id="paren.43"/>. The EARLINET requirements on
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> are met at both wavelengths by the
majority of the systems. The only exception is the MARTHA system
for which the SCC retrieval shows a relative mean deviation slightly above
the maximum. However, at the same time, the EARLINET requirements on
<inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> are clearly below the maximum allowed value for all the
systems. In general, the discrepancies can be explained by small
differences in the reference value and in the height range used for the
calibration and also by the depolarization correction <xref ref-type="bibr" rid="bib1.bibx27" id="paren.44"/>,
which is taken into account in some of the manual analyses but not implemented yet in
the SCC.  This is, for example, the reason for the discrepancies observed between 2
and 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> in the backscatter profiles at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> for
Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> (leftmost plot in the middle panel of
Fig. <xref ref-type="fig" rid="Ch1.F5"/>). This lidar system is equipped with optics exhibiting quite
different transmissivity at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> for the two components of
light polarization. In this case, if the depolarization correction is not
considered and, at same time, strong depolarizing aerosol is observed (like in this case where Saharan dust was
present between 2 and 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) an overestimation of the
aerosol backscatter coefficient is made. This effect is clearly visible in the mentioned
plot. The correction of the depolarization effect is not
implemented in the SCC because its application requires the
measurement of the particle linear depolarization-ratio which is not yet a standard
SCC product. However, the next SCC release will include the
correction for depolarization effect as the implementation of
quality-assured procedures to calculate the particle linear depolarization
is planned.</p>
      <p>Figures <xref ref-type="fig" rid="Ch1.F7"/> and <xref ref-type="fig" rid="Ch1.F8"/> are examples
of comparisons of the Raman extinction retrievals.
The curves in Fig. <xref ref-type="fig" rid="Ch1.F7"/> are the aerosol extinction
profiles at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> obtained from the nitrogen vibrational-rotational Raman
signal at 387 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> for the five different lidar systems, while Fig. <xref ref-type="fig" rid="Ch1.F8"/> shows the aerosol extinction profiles at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>
calculated from the nitrogen vibrational-rotational Raman signal at 607 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> for
the same systems. The agreement between the two independent analyses is good for both wavelengths.
However, the extinction coefficient profiles at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> are noisier than the ones at 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>, and so, in some cases, it is not easy to clearly evaluate the agreement between
manual and SCC analysis. Nevertheless, for all
systems the atmospheric structures are present with very similar and consistent shape
in the manually and the SCC retrieved profiles. The good agreement is
also confirmed by the values of <inline-formula><mml:math display="inline"><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mover accent="true"><mml:mi>d</mml:mi><mml:mo mathvariant="normal">¯</mml:mo></mml:mover><mml:mi mathvariant="normal">r</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
reported in the bottom part of Table <xref ref-type="table" rid="Ch1.T1"/>. For
extinction coefficients, the maximum allowed relative and absolute
deviations according to EARLINET requirements are 20 % and
50 <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>, respectively <xref ref-type="bibr" rid="bib1.bibx24" id="paren.45"/>. As a result, the SCC
aerosol extinction retrieval meets the EARLINET requirements for all
the considered systems at 355 and 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>.</p>
      <p>For all the profiles shown in
Figs. <xref ref-type="fig" rid="Ch1.F4"/>–<xref ref-type="fig" rid="Ch1.F8"/>, the molecular contribution to atmospheric
extinction and transmissivity has been calculated using the atmospheric
temperature and pressure profiles measured by a radiosounding
correlative to the lidar measurement session.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2"><caption><p>Number of MUSA (Potenza) and Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> (Leipzig) measurement cases included in the
calculation of the mean profiles shown in
Figs. <xref ref-type="fig" rid="Ch1.F9"/>–<xref ref-type="fig" rid="Ch1.F13"/>.  The quantity <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>1064 indicates the
backscatter coefficient profile derived with the iterative method at
1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> while <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>532 (<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>355) and <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>532 (<inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>355) represent
backscatter and extinction coefficient profiles at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>
(355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>), respectively.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="left"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col3" align="center">Night-time </oasis:entry>  
         <oasis:entry namest="col4" nameend="col5" align="center">Daytime </oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"/>  
         <oasis:entry colname="col2">MUSA</oasis:entry>  
         <oasis:entry colname="col3">Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col4">MUSA</oasis:entry>  
         <oasis:entry colname="col5">Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula></oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>1064</oasis:entry>  
         <oasis:entry colname="col2">23</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4">12</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>532</oasis:entry>  
         <oasis:entry colname="col2">20</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4">12</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>355</oasis:entry>  
         <oasis:entry colname="col2">24</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4">10</oasis:entry>  
         <oasis:entry colname="col5">9</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>532</oasis:entry>  
         <oasis:entry colname="col2">16</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>355</oasis:entry>  
         <oasis:entry colname="col2">14</oasis:entry>  
         <oasis:entry colname="col3">15</oasis:entry>  
         <oasis:entry colname="col4">–</oasis:entry>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6"/>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Mean night-time analysis comparison for the Potenza
station (MUSA system). In the upper graph the mean profiles obtained using
the manual analysis are shown, while in the bottom graph the results obtained by the
SCC are presented. Several measurement cases (see Table <xref ref-type="table" rid="Ch1.T2"/>) have been analysed, and the corresponding
backscatter and extinction profiles have been averaged (left two
panels of each graph). The
other two panels of each graph show the lidar
ratios and the Ångström exponents, respectively
as calculated from the mean aerosol extinction and backscatter profiles.
</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f09.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Mean daytime analysis comparison for the Potenza
station (MUSA system). On the left the mean analysis obtained using
the manual analysis is shown, while on the right the results obtained by the
SCC are presented. Several measurement cases (see Table <xref ref-type="table" rid="Ch1.T2"/>) have been analysed, and the corresponding
backscatter profiles have been averaged (left two panels of each
graph). The other panel of each graph shows the backscatter related Ångström exponents
as calculated from the mean backscatter profiles.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f10.pdf"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3" specific-use="star"><caption><p>Comparison of the mean values and standard
errors of the mean for the profiles of the Potenza station shown in Figs. <xref ref-type="fig" rid="Ch1.F9"/> and <xref ref-type="fig" rid="Ch1.F10"/>. Mean values and
standard errors of the mean (reported in parentheses) were
calculated by averaging the mean profiles within  Range 1 (0–2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>) and
Range 2 (2–4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col9" align="center">Night-time </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center">Daytime </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">LR [<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">sr</mml:mi></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace width="0.125em" linebreak="nobreak"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">Manual</oasis:entry>  
         <oasis:entry colname="col3">SCC</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Manual</oasis:entry>  
         <oasis:entry colname="col6">SCC</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">Manual</oasis:entry>  
         <oasis:entry colname="col9">SCC</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">Manual</oasis:entry>  
         <oasis:entry colname="col12">SCC</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col12" align="left">Range 1 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">355</oasis:entry>  
         <oasis:entry colname="col2">2.01(0.10)</oasis:entry>  
         <oasis:entry colname="col3">1.97(0.12)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">86.42(3.52)</oasis:entry>  
         <oasis:entry colname="col6">79.53(4.32)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">47.23(1.65)</oasis:entry>  
         <oasis:entry colname="col9">45.48(1.04)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">1.58(0.07)</oasis:entry>  
         <oasis:entry colname="col12">1.60(0.09)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">532</oasis:entry>  
         <oasis:entry colname="col2">1.35(0.04)</oasis:entry>  
         <oasis:entry colname="col3">1.38(0.07)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">100.00(4.57)</oasis:entry>  
         <oasis:entry colname="col6">108.35(6.99)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">76.64(1.78)</oasis:entry>  
         <oasis:entry colname="col9">85.17(2.99)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.85(0.03)</oasis:entry>  
         <oasis:entry colname="col12">0.87(0.04)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">1064</oasis:entry>  
         <oasis:entry colname="col2">0.65(0.02)</oasis:entry>  
         <oasis:entry colname="col3">0.69(0.03)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.53(0.01)</oasis:entry>  
         <oasis:entry colname="col12">0.57(0.02)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col12" align="left">Range 2 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">355</oasis:entry>  
         <oasis:entry colname="col2">0.62(0.06)</oasis:entry>  
         <oasis:entry colname="col3">0.60(0.05)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">34.74(2.04)</oasis:entry>  
         <oasis:entry colname="col6">32.28(1.31)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">61.71(2.13)</oasis:entry>  
         <oasis:entry colname="col9">59.76(2.46)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.50(0.04)</oasis:entry>  
         <oasis:entry colname="col12">0.48(0.04)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">532</oasis:entry>  
         <oasis:entry colname="col2">0.54(0.03)</oasis:entry>  
         <oasis:entry colname="col3">0.53(0.03)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">43.81(2.17)</oasis:entry>  
         <oasis:entry colname="col6">41.73(1.39)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">84.39(2.52)</oasis:entry>  
         <oasis:entry colname="col9">81.01(2.31)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.37(0.02)</oasis:entry>  
         <oasis:entry colname="col12">0.36(0.02)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1064</oasis:entry>  
         <oasis:entry colname="col2">0.29(0.01)</oasis:entry>  
         <oasis:entry colname="col3">0.29(0.01)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.27(0.01)</oasis:entry>  
         <oasis:entry colname="col12">0.26(0.01)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Relative differences between SCC and corresponding manually retrieved mean profiles for
the Potenza station (MUSA system). On the
left (upper part) the deviation between night-time mean aerosol
backscatter profiles at 355, 532, and 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see
Fig. <xref ref-type="fig" rid="Ch1.F9"/>) are shown. On the right (upper
part) the deviations between night-time mean aerosol extinction profiles at 355 and
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="Ch1.F9"/>) are reported. In the
bottom part the deviation between daytime mean aerosol backscatter
profiles at 355, 532, and 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see
Fig. <xref ref-type="fig" rid="Ch1.F10"/>) are shown.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f11.pdf"/>

        </fig>

</sec>
<sec id="Ch1.S4.SS2">
  <title>Validation based on climatological data</title>
      <p>In the previous section, comparisons of the SCC
analysis with the corresponding manual ones for a single measurement
case were shown, considering several different lidar systems. This comparison
allowed us to investigate the ability of the SCC to provide aerosol
optical properties for different systems, but it did not assure that the
algorithms implemented in the SCC are not affected by systematic
errors or that they work well under different atmospheric
conditions. To prove this ability, mean SCC profiles have been compared to the
corresponding mean profiles obtained by an independent analysis
procedure. In particular, several measurement cases have been inverted
with both the SCC and the manual analysis software (the same manual software used
so far to provide profiles to the EARLINET database). The results have
been averaged and finally compared.  Two representative EARLINET lidar
systems have been taken into account for this comparison: MUSA
<xref ref-type="bibr" rid="bib1.bibx23" id="paren.46"/> and Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx2" id="paren.47"/>
operating at the Potenza and Leipzig stations, respectively.</p>
      <p>For the Potenza station we have compared the mean profiles obtained by
averaging the measurements made with the MUSA system in correlation with CALIPSO
<xref ref-type="bibr" rid="bib1.bibx44" id="paren.48"><named-content content-type="pre">Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observations,</named-content></xref>
overpasses between March 2010 and November 2011.
In Table <xref ref-type="table" rid="Ch1.T2"/>, we summarized the number of single profiles
that have been considered in calculating the mean profiles for both
SCC and manual analysis. The quantity <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>1064 indicates the
backscatter coefficient profile at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> while  <inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>532 (<inline-formula><mml:math display="inline"><mml:mi>b</mml:mi></mml:math></inline-formula>355)
and <inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>532 (<inline-formula><mml:math display="inline"><mml:mi>e</mml:mi></mml:math></inline-formula>355) represent the backscatter and extinction coefficient
profiles at 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>), respectively.
The number of averaged profiles are not the same for all quantities
as it was not possible to get optical products for
all lidar channels for all cases. For night-time conditions, backscatter
coefficients at 532 and 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> have been obtained using the
Raman method. For daytime conditions, the backscatter coefficients at all
wavelengths are calculated with the iterative method.</p>
      <p>Figure <xref ref-type="fig" rid="Ch1.F9"/> summarizes the results of the comparison
made for night-time conditions. For each analysis three mean
backscatter coefficient profiles (first plot on the left)
at 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (red curve), 532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (green curve), and 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (blue curve)
and two mean extinction coefficient profiles (second plot from the left) at
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (green curve) and 355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (blue curve) are reported. In the
same figure other important aerosol parameters are plotted which
are directly derived from the extinction and backscatter coefficient profiles: the
extinction-to-backscatter ratio (lidar ratio) and the
Ångström exponents. As it is well known that these parameters
depend only on the type of aerosol, it is quite interesting to test the
SCC performance with respect to these parameters.</p>
      <p>In general, the agreement between the two analyses is good for all
profiles shown in Fig. <xref ref-type="fig" rid="Ch1.F9"/>. Table <xref ref-type="table" rid="Ch1.T3"/> and Fig. <xref ref-type="fig" rid="Ch1.F11"/> provide a more
quantitative comparison. In particular, two separate altitude ranges were selected in order to
allow a direct comparison of statistical quantities. As most of the
aerosol load is trapped below 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> height, the first one (Range 1) extends up to 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and the second one (Range 2) from 2 up to 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
height. For all vertical profiles plotted in Fig. <xref ref-type="fig" rid="Ch1.F9"/>, mean values and standard
errors of the mean within Range 1 and Range 2 have been
calculated and reported in Table <xref ref-type="table" rid="Ch1.T3"/>. The agreement on
the backscatter-related mean values and standard errors is quite good
for both Range 1 and
Range 2. The mean values calculated within Range 2
for the aerosol extinction mean profiles agree slightly better than
the ones calculated within Range 1.
The general good agreement is also confirmed by the two plots in the upper part of Fig. <xref ref-type="fig" rid="Ch1.F11"/> showing the
relative difference (below 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> height) of the aerosol backscatter and extinction mean profiles
displayed in Fig. <xref ref-type="fig" rid="Ch1.F9"/>.</p>
      <p>In Fig. <xref ref-type="fig" rid="Ch1.F10"/> the comparison for the MUSA system
under daytime conditions is shown. As already mentioned, in this case the two Raman
channels are not available and so it is only possible to compare
backscatter-related quantities. As it can be seen from Table <xref ref-type="table" rid="Ch1.T3"/>, also for daytime conditions we have a good agreement
between the two analyses. The same conclusion is supported also by the
mean deviations shown in the bottom part of Fig. <xref ref-type="fig" rid="Ch1.F11"/>
which, typically, vary between <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>10 %.</p>
      <p>For the Leipzig station, we have compared all regular EARLINET
climatology and CALIPSO measurements made by Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> from September
2012 to September 2014 for which the complete data set of three
backscatter coefficient and, at night-time, two extinction coefficient profiles
were available.
The numbers of Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> single profiles that have been included in the
calculation of mean profiles are reported in Table <xref ref-type="table" rid="Ch1.T2"/>.</p>
      <p>Figures <xref ref-type="fig" rid="Ch1.F12"/> and <xref ref-type="fig" rid="Ch1.F13"/> show the results
of the comparison for the Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> system made under night-time
and daytime conditions, respectively. All quantities displayed in these
figures are the same already described in Figs. <xref ref-type="fig" rid="Ch1.F9"/> and <xref ref-type="fig" rid="Ch1.F10"/>. The agreement between the two analyses is good in
both cases.  All manually calculated profiles plotted in
Figs. <xref ref-type="fig" rid="Ch1.F12"/> and <xref ref-type="fig" rid="Ch1.F13"/> agree well with
the corresponding ones calculated by the SCC. Moreover, the same
quantitative comparison made for the
MUSA system has been carried out also for the Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>
lidar. The results are summarized in Table <xref ref-type="table" rid="Ch1.T4"/>
and Fig. <xref ref-type="fig" rid="Ch1.F14"/>. In particular, Table <xref ref-type="table" rid="Ch1.T4"/>
shows a very good agreement of both mean values and standard errors
calculated within Range 1 and Range 2. The
differences of the backscatter coefficient mean profiles at
355 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> are mainly due to the polarization sensibility of the
Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> system at this wavelength. As already mentioned in the
previous section, this effect is corrected in the manual analysis but not yet in the
SCC. The deviations of the aerosol
extinction mean profiles below 1.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> are probably related to small differences in
handling the correction for not complete overlap.</p>
      <p>From the comparison discussed in this section we can
conclude that the SCC performs well under different atmospheric
conditions and for different systems. Of course, further comparisons
and evaluations of SCC products are planned in the near future
especially when more statistical data will be available.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Mean night-time analysis comparison for the Leipzig
station (Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> system). In the upper graph the mean profiles obtained using
the manual analysis are shown, while in the bottom graph the results obtained by the
SCC are presented. Several measurement cases (see Table <xref ref-type="table" rid="Ch1.T2"/>) have been analysed, and the corresponding
backscatter and extinction profiles have been averaged (left two
panels of each graph). The
other two panels of each graph show the lidar
ratios and the Ångström exponents, respectively
as calculated from the mean aerosol extinction and backscatter profiles.
</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f12.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Mean daytime analysis comparison for the Leipzig
station (Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula> system). On the left the mean analysis obtained using
the manual analysis is shown, while on the right the results obtained by the
SCC are presented. Several measurement cases (see Table 
<xref ref-type="table" rid="Ch1.T2"/>) have been analysed, and the corresponding
backscatter profiles have been averaged (left two panels of each
graph). The other panel of each graph shows the backscatter related Ångström exponents
as calculated from the mean backscatter profiles.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f13.pdf"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><caption><p>Comparison of the mean values and standard errors of the mean
for the profiles of the Leipzig station shown in Figs. <xref ref-type="fig" rid="Ch1.F12"/> and <xref ref-type="fig" rid="Ch1.F13"/>. Mean values and
standard errors of the mean (reported in parentheses)  were
calculated by averaging the mean profiles within Range 1 (0–2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>)
and Range 2 (2–4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>).</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="12">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="left"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:colspec colnum="9" colname="col9" align="right"/>
     <oasis:colspec colnum="10" colname="col10" align="left"/>
     <oasis:colspec colnum="11" colname="col11" align="right"/>
     <oasis:colspec colnum="12" colname="col12" align="right"/>
     <oasis:thead>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col9" align="center">Night-time </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center">Daytime </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry rowsep="1" namest="col2" nameend="col3" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry rowsep="1" namest="col5" nameend="col6" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">α</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry rowsep="1" namest="col8" nameend="col9" align="center">LR [<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">sr</mml:mi></mml:math></inline-formula>] </oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry rowsep="1" namest="col11" nameend="col12" align="center"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">β</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi mathvariant="normal">Mm</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:msup><mml:mi mathvariant="normal">sr</mml:mi><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>] </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1"><inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">λ</mml:mi></mml:math></inline-formula> [<inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>]</oasis:entry>  
         <oasis:entry colname="col2">Manual</oasis:entry>  
         <oasis:entry colname="col3">SCC</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">Manual</oasis:entry>  
         <oasis:entry colname="col6">SCC</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">Manual</oasis:entry>  
         <oasis:entry colname="col9">SCC</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">Manual</oasis:entry>  
         <oasis:entry colname="col12">SCC</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col12" align="left">Range 1 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">355</oasis:entry>  
         <oasis:entry colname="col2">3.16(0.22)</oasis:entry>  
         <oasis:entry colname="col3">3.03(0.19)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">168.93(13.4)</oasis:entry>  
         <oasis:entry colname="col6">157.51(11.3)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">52.21(0.59)</oasis:entry>  
         <oasis:entry colname="col9">51.09(0.57)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">2.30(0.23)</oasis:entry>  
         <oasis:entry colname="col12">2.45(0.26)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">532</oasis:entry>  
         <oasis:entry colname="col2">1.56(0.10)</oasis:entry>  
         <oasis:entry colname="col3">1.55(0.09)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">88.81(9.13)</oasis:entry>  
         <oasis:entry colname="col6">85.33(7.96)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">52.85(1.85)</oasis:entry>  
         <oasis:entry colname="col9">52.54(1.62)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">1.00(0.08)</oasis:entry>  
         <oasis:entry colname="col12">0.98(0.07)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">1064</oasis:entry>  
         <oasis:entry colname="col2">0.58(0.01)</oasis:entry>  
         <oasis:entry colname="col3">0.56(0.01)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.48(0.03)</oasis:entry>  
         <oasis:entry colname="col12">0.47(0.03)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1"/>  
         <oasis:entry namest="col2" nameend="col12" align="left">Range 2 </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">355</oasis:entry>  
         <oasis:entry colname="col2">1.39(0.05)</oasis:entry>  
         <oasis:entry colname="col3">1.47(0.06)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">75.81(2.70)</oasis:entry>  
         <oasis:entry colname="col6">76.80(2.52)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">55.37(0.67)</oasis:entry>  
         <oasis:entry colname="col9">54.15(1.22)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.20(0.01)</oasis:entry>  
         <oasis:entry colname="col12">0.24(0.02)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">532</oasis:entry>  
         <oasis:entry colname="col2">0.86(0.02)</oasis:entry>  
         <oasis:entry colname="col3">0.94(0.02)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">45.84(1.50)</oasis:entry>  
         <oasis:entry colname="col6">45.33(1.39)</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">53.09(0.75)</oasis:entry>  
         <oasis:entry colname="col9">48.17(0.58)</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.08(0.01)</oasis:entry>  
         <oasis:entry colname="col12">0.11(0.01)</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">1064</oasis:entry>  
         <oasis:entry colname="col2">0.32(0.02)</oasis:entry>  
         <oasis:entry colname="col3">0.31(0.02)</oasis:entry>  
         <oasis:entry colname="col4"/>  
         <oasis:entry colname="col5">–</oasis:entry>  
         <oasis:entry colname="col6">–</oasis:entry>  
         <oasis:entry colname="col7"/>  
         <oasis:entry colname="col8">–</oasis:entry>  
         <oasis:entry colname="col9">–</oasis:entry>  
         <oasis:entry colname="col10"/>  
         <oasis:entry colname="col11">0.06(0.01)</oasis:entry>  
         <oasis:entry colname="col12">0.06(0.01)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>Relative differences between SCC and corresponding manually retrieved
mean profiles for the Leipzig station (Polly<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mi mathvariant="normal">XT</mml:mi></mml:msup></mml:math></inline-formula>
system). On the left (upper part) the deviation between night-time mean aerosol
backscatter profiles at 355, 532, and 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see
Fig. <xref ref-type="fig" rid="Ch1.F12"/>) are shown. On the right (upper panel) the deviations between
night-time mean aerosol extinction profiles at 355 and
532 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="Ch1.F12"/>) are reported. In
the bottom part the deviation between daytime mean aerosol backscatter
profiles at 355, 532, and 1064 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (see
Fig. <xref ref-type="fig" rid="Ch1.F13"/>) are shown.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/4891/2015/amt-8-4891-2015-f14.pdf"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S5">
  <title>Example of near-real-time applicability</title>
      <p>In this section the main objectives of this 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula>
operationally exercise are briefly recalled and some specific
technical details about how the SCC has been used during that period are described.
In July 2012, 11 EARLINET stations performed an intense period of
coordinated measurements with a well defined measurement protocol. The
measurements started on 9 July at 06:00 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">UT</mml:mi></mml:math></inline-formula> and continued without interruption
for 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> whenever the atmospheric conditions allowed lidar
measurements. The details of this quite intensive observation period are
provided in <xref ref-type="bibr" rid="bib1.bibx37" id="normal.49"/>.
The main aim of the 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> operationally exercise was to provide a large set of
aerosol parameters obtained in a standardized way for a large number
of stations in near-real time. Especially the SCC was
used to retrieve both pre-processed products in real time (mainly
range-corrected lidar signals) and optical products in near-real time for all stations participating in the exercise. The
outputs of the SCC produced in that way can be used for a large variety of applications
like the assimilation of lidar data in air-quality or dust transport models, model validation,
or monitoring of special events like volcano eruptions. In particular, the
SCC pre-processed data measured during the 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> operationally exercise
have been successfully assimilated in the air-quality model Polyphemus
developed by the Centre d'Enseignement et de Recherche en Environnement
Atmosphérique (CEREA) to improve the quality of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn>10</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">PM</mml:mi><mml:mn>2.5</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> forecast on the ground <xref ref-type="bibr" rid="bib1.bibx42" id="paren.50"/>.</p>
      <p>All participating stations agreed to provide raw data in SCC
format containing 1 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> time series of raw lidar signals
synchronized to the start of each hour.
Starting from these raw data files the SCC was configured to
provide 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula> time-averaged range-corrected signals (pre-processed
files) for all involved lidar systems. During the exercise the SCC was an important tool toward the
standardization of lidar products as the participating lidars
operate at different raw time resolutions (from 1 to 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula>) and they also differ in many other characteristics requiring
different instrumental corrections.</p>
      <p>To make the SCC outputs available as soon as possible, an infrastructure
was set up to automatically submit the data to the SCC. To start
the retrieval of the SCC on a particular measurement the user needs to
register the measurement into the SCC database using the web
interface. This operation needs time and also the presence of an
operator. To improve that, a fully automatic uploading system has been
implemented and used during the 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> measurement exercise. Once the system has
detected the presence of a new measurement, a check on the format of
the uploaded data file is automatically performed and in case of success the measurement is automatically registered to the SCC database and
consequently the SCC is started on it. The results of the SCC analysis
are sent back to the originator for their evaluation as soon
as they are available.  With such a system it was
possible to automatically retrieve the needed aerosol optical products and
make them available within 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">min</mml:mi></mml:math></inline-formula> from the end of measurement.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The SCC, an automatic tool for the analysis of EARLINET lidar data,
has been developed and made available to all EARLINET
stations. The SCC has been installed on a centralized server where the
user can submit data using a pre-defined NetCDF structure. The SCC is
highly configurable and can be easily adapted to new lidar systems. In
particular, a user-friendly web interface allows the user to change all
instrumental and configuration parameters to be used in the
analysis.  The products of the SCC are
all quality certified in terms of the EARLINET quality assurance program.
The SCC can provide different levels of output:
pre-processed signals (range-corrected lidar signals
corrected for all instrumental effects) and aerosol optical
products (aerosol backscatter and extinction coefficient profiles).
The pre-processed and the aerosol optical products are calculated by
two different SCC modules: the ELPP module which accepts as input the
raw lidar data and the ELDA module which takes as inputs the outputs of the
ELPP module. The actions of the two modules are automatically
synchronized and coordinated by another module called SCC daemon. All parameters
required by the ELPP and ELDA modules are stored in an
efficient way in the SCC database.</p>
      <p>The SCC has been validated by <xref ref-type="bibr" rid="bib1.bibx28" id="normal.51"/> using synthetic lidar
signals used during the EARLINET algorithm inter-comparison exercise
and, in this paper, using real lidar data. In particular, the
validation with real lidar data was accomplished by comparing the
SCC optical products with the corresponding products retrieved with
independent manual quality-certified procedures. The
validation was carried out in two different steps. First, considering a case study selected from the EARLI09
inter-comparison campaign, it was proved that the SCC is able to provide
optical products in good agreement with the corresponding manual analysis
for all EARLI09 lidar systems considered. Second, it was checked that the SCC can
provide reliable results in different atmospheric conditions. This was
achieved by performing a statistical analysis of the long-term data
set of two EARLINET stations. The comparisons indicated a good performance of the
SCC as well.</p>
      <p><?xmltex \hack{\newpage}?>An example of the applicability of the SCC was provided
by describing the use of the SCC during the 72 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> EARLINET measurement
exercise. In this case, the SCC delivered high-quality
aerosol properties at different levels (pre-processed signals and aerosol
optical products) in near-real time. Such products can be
assimilated in models or can be used for model validation purposes or
to monitor special events at network level.</p>
      <p>The development of the SCC modules is continuing. New
features like particle depolarization-ratio calculation, automatic
determination of aerosol layer properties from both geometrical and
optical point of view, and cloud masking are under investigation and will
be included in the SCC in the framework of the ACTRIS and ACTRIS-2 projects
(<uri>http://www.actris.eu</uri>). Due to its flexibility the SCC could be easily extended
to GALION to evaluate lidar data of networks different from EARLINET.</p><?xmltex \hack{\clearpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <title>SCC usecases description</title>
      <p>In this Appendix, all usecases currently implemented in the SCC are
described. A specific nomenclature has been used to
uniquely identify the different types of lidar signals detected by
all EARLINET lidars. In particular, the name assigned to each
lidar signal is composed of four different substrings grouped by
the character underscore. The first substring describes the scattering mode characterizing the detected signal, the second identifies the
polarization state, the third  describes the detection
mode used to measure the signal, and finally the fourth one identifies the
range for which the signal is optimized. For example, a channel called
“elT_cross_pc_fr” represents the photon-counting perpendicular
polarization component (with respect to the direction of linear-polarized incident laser light) of the elastically backscattered lidar
signal optimized (in terms of the signal-to-noise ratio) to detect
the atmospheric signal from the far-range. Table <xref ref-type="table" rid="App1.Ch1.T1"/> summarizes all possible substrings used
to identify the signals.
<?xmltex \hack{\vspace{3.3cm}}?></p>

<?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.T1"><?xmltex \hack{\hsize\textwidth}?><caption><p>Nomenclature used to identify univocally the different types
of lidar signals detected by all EARLINET lidar systems.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="2">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:thead>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">Name</oasis:entry>  
         <oasis:entry colname="col2">Description</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Scattering mode </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">el</oasis:entry>  
         <oasis:entry colname="col2">elastically backscattered signal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">vrN2</oasis:entry>  
         <oasis:entry colname="col2">vibrational-rotational Raman backscattered signal by nitrogen molecules</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">pRRlow</oasis:entry>  
         <oasis:entry colname="col2">pure rotational Raman backscattered signal at low quantum number</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">pRRhigh</oasis:entry>  
         <oasis:entry colname="col2">pure rotational Raman backscattered signal at high quantum number</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Polarization state </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">tot</oasis:entry>  
         <oasis:entry colname="col2">total signal</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">cross</oasis:entry>  
         <oasis:entry colname="col2">perpendicular polarization component</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">paral</oasis:entry>  
         <oasis:entry colname="col2">parallel polarization component</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Detection mode </oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">an</oasis:entry>  
         <oasis:entry colname="col2">analog</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">pc</oasis:entry>  
         <oasis:entry colname="col2">photon-counting</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry colname="col1">any</oasis:entry>  
         <oasis:entry colname="col2">can be analog or photon-counting</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">  
         <oasis:entry namest="col1" nameend="col2">Range mode<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula></oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">fr</oasis:entry>  
         <oasis:entry colname="col2">signal optimized to detect the far range</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">nr</oasis:entry>  
         <oasis:entry colname="col2">signal optimized to detect the near range</oasis:entry>
       </oasis:row>
       <oasis:row>  
         <oasis:entry colname="col1">unr</oasis:entry>  
         <oasis:entry colname="col2">signal optimized to detect the ultra-near range</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><table-wrap-foot><p><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∗</mml:mo></mml:msup></mml:math></inline-formula> for signals not optimized for a specific
altitude range this substring is omitted.</p></table-wrap-foot></table-wrap>

      <p><?xmltex \hack{\newpage}?>All implemented usecases, separated by product type, are reported
in the Tables <xref ref-type="table" rid="App1.Ch1.T2"/>, <xref ref-type="table" rid="App1.Ch1.T5"/> and <xref ref-type="table" rid="App1.Ch1.T6"/> using the same structure. The first column
gives the number identifying the usecase. This number uniquely
identifies the usecase once a product type has to be selected. The second
column reports all lidar channels involved in the product
calculation. This information allows the identification of the
relevant usecases fitting with one specific experimental setup. The
other columns specify the steps to be performed in the calculation of
the product. The third column shows which channels are
combined at pre-processing level typically to enhance the detected
dynamic range by gluing signals optimized for the far range with the
corresponding ones optimized for the near range <xref ref-type="bibr" rid="bib1.bibx10" id="paren.52"/>.
The fourth column specifies which pre-processed signals are used to
calculate the corresponding optical product. If in this column only
one subcolumn is present (e.g., the usecase 7 in Table <xref ref-type="table" rid="App1.Ch1.T2"/>), it means the final product is directly
calculated using the selected pre-processed signal. If there are two
subcolumns (e.g., the usecase 4 in Table <xref ref-type="table" rid="App1.Ch1.T2"/>), two products are calculated in the
processing phase (typically one for the far range and one for the near range) and then these products are combined to get the final
product. The presence of product combination in the usecase is
specified by the last column of the tables. It is worth mentioning
that each usecase always corresponds to a single optical product.</p><?xmltex \hack{\clearpage}?><?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T2" specific-use="star"><caption><p>SCC usecases implemented for the calculation of the
atmospheric particle backscatter coefficient profile using the Raman technique.
The first column provides the number identifying the usecase, the second
column reports all lidar channels involved in the product
calculation, the third column shows which channels are
combined at pre-processing level, the fourth column specifies which
pre-processed signals are used to calculate the final optical
product. Finally, the last column shows, if intermediate products have
been combined to get the final optical product.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Usecase</oasis:entry>

         <oasis:entry colname="col2">Channels</oasis:entry>

         <oasis:entry colname="col3">Signal</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">Product </oasis:entry>

         <oasis:entry colname="col6">Product</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">combination</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">calculation </oasis:entry>

         <oasis:entry colname="col6">combination</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">0</oasis:entry>

         <oasis:entry colname="col2">el_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">1</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">2</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="2"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">3</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">el_tot_any</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">4</oasis:entry>

         <oasis:entry colname="col2">el_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" colname="col6" morerows="2"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">5</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">6</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">7</oasis:entry>

         <oasis:entry colname="col2">el_cross_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="2">8</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">el_tot_any</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">pRRhigh_tot_any</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="4">9</oasis:entry>

         <oasis:entry colname="col2">el_cross_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_cross_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_paral_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="3">10</oasis:entry>

         <oasis:entry colname="col2">el_cross_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_paral_any</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\addtocounter{table}{-1}}?><?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T3" specific-use="star"><caption><p>Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Usecase</oasis:entry>

         <oasis:entry colname="col2">Channels</oasis:entry>

         <oasis:entry colname="col3">Signal</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">Product </oasis:entry>

         <oasis:entry colname="col6">Product</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">combination</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">calculation </oasis:entry>

         <oasis:entry colname="col6">combination</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="5">11</oasis:entry>

         <oasis:entry colname="col2">el_cross_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_cross_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_paral_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="5">12</oasis:entry>

         <oasis:entry colname="col2">el_cross_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_cross_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="7">13</oasis:entry>

         <oasis:entry colname="col2">el_tot_an_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="7"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_pc_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_an_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">vrRN2_tot_an_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_tot_an_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_pc_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_an_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry rowsep="1" colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_pc_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="6">14</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_unr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="6"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">pRRhigh_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry rowsep="1" colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">pRRhigh_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="4">15</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_unr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="5">16</oasis:entry>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6" morerows="5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">pRRhigh_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRhigh_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \hack{\addtocounter{table}{-1}}?><?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T4" specific-use="star"><caption><p>Continued.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="left"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Usecase</oasis:entry>

         <oasis:entry colname="col2">Channels</oasis:entry>

         <oasis:entry colname="col3">Signal</oasis:entry>

         <oasis:entry namest="col4" nameend="col5" align="center">Product </oasis:entry>

         <oasis:entry colname="col6">Product</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">combination</oasis:entry>

         <oasis:entry namest="col4" nameend="col5" align="center">calculation </oasis:entry>

         <oasis:entry colname="col6">combination</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">17</oasis:entry>

         <oasis:entry colname="col2">el_paral_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_paral_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_cross_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="3">18</oasis:entry>

         <oasis:entry colname="col2">el_cross_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry namest="col4" nameend="col5" morerows="1" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">el_cross_any_fr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">el_paral_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5" align="center"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T5" specific-use="star"><caption><p>SCC usecases implemented for the calculation of the
atmospheric particle extinction coefficient profile using
the Raman technique. The structure of the table is the same one
as in Table <xref ref-type="table" rid="App1.Ch1.T2"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Usecase</oasis:entry>

         <oasis:entry colname="col2">Channels</oasis:entry>

         <oasis:entry colname="col3">Signal</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">Product </oasis:entry>

         <oasis:entry colname="col6">Product</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">combination</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">calculation </oasis:entry>

         <oasis:entry colname="col6">combination</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">0</oasis:entry>

         <oasis:entry colname="col2">vrRN2_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">1</oasis:entry>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">2</oasis:entry>

         <oasis:entry colname="col2">vrRN2_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">3</oasis:entry>

         <oasis:entry colname="col2">pRRlow_tot_any</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">pRRhigh_tot_any</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="3">4</oasis:entry>

         <oasis:entry colname="col2">vrRN2_tot_an_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">vrRN2_tot_pc_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">vrRN2_tot_an_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry rowsep="1" colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">vrRN2_tot_pc_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="3">5</oasis:entry>

         <oasis:entry colname="col2">pRRlow_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6" morerows="3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col2">pRRhigh_tot_any_nr</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRlow_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">pRRhigh_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col4"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="App1.Ch1.T6" specific-use="star"><caption><p>SCC usecases implemented for the calculation of the
atmospheric particle backscatter coefficient profile using
the elastic-only technique. The structure of the table is the same one
as in Table <xref ref-type="table" rid="App1.Ch1.T2"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="center"/>
     <oasis:colspec colnum="4" colname="col4" align="center"/>
     <oasis:colspec colnum="5" colname="col5" align="center"/>
     <oasis:colspec colnum="6" colname="col6" align="center"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Usecase</oasis:entry>

         <oasis:entry colname="col2">Channels</oasis:entry>

         <oasis:entry colname="col3">Signal</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">Product </oasis:entry>

         <oasis:entry colname="col6">Product</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2"/>

         <oasis:entry colname="col3">combination</oasis:entry>

         <oasis:entry namest="col4" nameend="col5">calculation </oasis:entry>

         <oasis:entry colname="col6">combination</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1">0</oasis:entry>

         <oasis:entry colname="col2">el_tot_any</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry namest="col4" nameend="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">1</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">2</oasis:entry>

         <oasis:entry colname="col2">el_tot_any_nr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col5"/>

         <oasis:entry rowsep="1" colname="col6" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">el_tot_any_fr</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry rowsep="1" colname="col1" morerows="1">3</oasis:entry>

         <oasis:entry colname="col2">el_paral_any</oasis:entry>

         <oasis:entry colname="col3"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry rowsep="1" namest="col4" nameend="col5" morerows="1"><inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula></oasis:entry>

         <oasis:entry colname="col6"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">el_cross_any</oasis:entry>

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<?xmltex \hack{\clearpage}?>
</app>
  </app-group><ack><title>Acknowledgements</title><p>The financial support for EARLINET in the ACTRIS Research
Infrastructure Project by the European Union's Horizon 2020 research
and innovation programme under grant agreement no. 654169 and previously
under the grants no. 262254 in the 7th Framework
Programme (FP7/2007–2013) and no. 025991 in the 6th Framework
Programme (FP6/2002–2006) is gratefully acknowledged.</p><p>Ioannis Binietoglou would like to acknowledge funding received from the
European Union's Seventh Framework Programme for research,
technological development and demonstration under grant agreement no
289923 – ITaRS.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: A. Ansmann</p></ack><ref-list>
    <title>References</title>

      <ref id="bib1.bibx1"><label>Ackermann(1998)</label><mixed-citation>
Ackermann, J.: The extinction-to-backscattering ratio of tropospheric aerosol:
a numerical study, J. Atmos. Ocean. Technol., 15, 1043–1050, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx2"><label>Althausen et al.(2013)Althausen, Engelmann, Baars, Heese, Kanitz,
Komppula, Giannakaki, Pfüller, Silva, Preißler, Wagner, Rascado,
Pereira, Lim, Ahn, Tesche, and Stachlewska</label><mixed-citation>
Althausen, D., Engelmann, R., Baars, H., Heese, B., Kanitz, T., Komppula, M.,
Giannakaki, E., Pfüller, A., Silva, A. M., Preißler, I., Wagner, F.,
Rascado, J. L., Pereira, S., Lim, J., Ahn, J. Y., Tesche, M., and
Stachlewska, I. S.: PollyNET: a network of multiwavelength polarization Raman
lidars, in: Proc. of SPIE, vol. 8894, Lidar Technologies, Techniques, and
Measurements for Atmospheric Remote Sensing IX,
88940I–1–88940I–10, International Society for Optical Engineering, P.O. Box 10, Bellingham, WA 98227-0010 USA, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx3"><label>Amodeo et al.(2016)Amodeo, D'Amico, Mattis, Freudenthaler, and
Pappalardo</label><mixed-citation>
Amodeo, A., D'Amico, G., Mattis, I., Freudenthaler, V., and Pappalardo, G.:
Error calculation for EARLINET products in the context of quality assurance
and single calculus chain, Atmos. Meas. Tech. Discuss., in preparation, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx4"><label>Ansmann et al.(1990)Ansmann, Riebesell, and Weitcamp</label><mixed-citation>
Ansmann, A., Riebesell, M., and Weitcamp, C.: Measurement of atmospheric
aerosol extinction profiles with a Raman lidar, Opt. Lett., 15, 746–748,
1990.</mixed-citation></ref>
      <ref id="bib1.bibx5"><label>Ansmann et al.(1992)Ansmann, Riebesell, Wandinger, Weitcamp, Voss,
Lahmann, and Michaelis</label><mixed-citation>
Ansmann, A., Riebesell, M., Wandinger, U., Weitcamp, C., Voss, E., Lahmann, W.,
and Michaelis, W.: Combined Raman elastic-backscatter lidar for vertical
profiling of moisture, aerosol extinction, backscatter and lidar ratio, Appl.
Phys. B, 55, 18–28, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx6"><label>Böckmann(2001)</label><mixed-citation>
Böckmann, C.: Hybrid regularization method for the ill-posed inversion of
multiwavelength lidar data in the retrieval of aeorosol size distributions,
Appl. Optics, 40, 1329–1342, 2001.</mixed-citation></ref>
      <ref id="bib1.bibx7"><label>Böckmann et al.(2004)Böckmann, Wandinger, Ansmann,
Bösenberg, Amiridis, Boselli, Delaval, De Tomasi, Frioud, Grigorov,
Hågård, Horvat, Iarlori, Komguem, Kreipl, Larchevêque, Matthias,
Papayannis, Pappalardo, Rocadenbosch, Rodrigues, Schneider, Shcherbakov, and
Wiegner</label><mixed-citation>
Böckmann, C., Wandinger, U., Ansmann, A., Bösenberg, J., Amiridis, V.,
Boselli, A., Delaval, A., De Tomasi, F., Frioud, M., Grigorov, I. V.,
Hågård, A., Horvat, M., Iarlori, M., Komguem, L., Kreipl, S.,
Larchevêque, G., Matthias, V., Papayannis, A., Pappalardo, G.,
Rocadenbosch, F., Rodrigues, J. A., Schneider, J., Shcherbakov, V., and
Wiegner, M.: Aerosol lidar intercomparison in the framework of the EARLINET
project. 2.Aerosol backscatter algorithms, Appl. Opt., 43, 977–989, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx8"><label>Bösenberg et al.(2008)Bösenberg, Hoff, Ansmann, Müller,
Antuña, Whiteman, Sugimoto, Apituley, Hardesty, Welton, Eloranta, Arshinov,
Kinne, and Freudenthaler</label><mixed-citation>Bösenberg, J., Hoff, R., Ansmann, A., Müller, D., Antuña, J. C.,
Whiteman, D., Sugimoto, N., Apituley, A., Hardesty, M., Welton, J., Eloranta,
E., Arshinov, Y., Kinne, S., and Freudenthaler, V.: GAW Report No. 178: Plan
for the implementation of the GAW Aerosol Lidar Observation Network GALION,
Tech. rep., Geneva, World Meteorological Organization, available at:
<uri>ftp://ftp.wmo.int/Documents/PublicWeb/arep/gaw/gaw178-galion-27-Oct.pdf</uri>, 2008.</mixed-citation></ref>
      <ref id="bib1.bibx9"><label>Chaikovsky et al.(2006)Chaikovsky, Ivanov, Balin, Elnikov, Tulinov,
Plusnin, Bukin, and Chen</label><mixed-citation>
Chaikovsky, A., Ivanov, A., Balin, Y., Elnikov, A., Tulinov, G., Plusnin, I.,
Bukin, O., and Chen, B.: Lidar network CIS-LiNet for monitoring aerosol and
ozone in CIS regions, in: Proc. of SPIE, vol. 6160, Twelfth Joint
International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics,
616035–1–616035–9, International Society for Optical Engineering,
P.O. Box 10, Bellingham, WA 98227-0010 USA, 2006.</mixed-citation></ref>
      <ref id="bib1.bibx10"><label>D'Amico et al.(2015)D'Amico, Amodeo, Mattis, Freudenthaler, and
Pappalardo</label><mixed-citation>D'Amico, G., Amodeo, A., Mattis, I., Freudenthaler, V., and Pappalardo, G.:
EARLINET Single Calculus Chain – technical – Part 1: Pre-processing of raw
lidar data, Atmos. Meas. Tech. Discuss., 8, 10387–10428,
<ext-link xlink:href="http://dx.doi.org/10.5194/amtd-8-10387-2015" ext-link-type="DOI">10.5194/amtd-8-10387-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx11"><label>Di Girolamo et al.(1995)Di Girolamo, Gagliardi, Pappalardo, Spinelli,
Velotta, and Berardi</label><mixed-citation>
Di Girolamo, P., Gagliardi, R., Pappalardo, G., Spinelli, N., Velotta, R., and
Berardi, V.: Two wavelength lidar analysis of stratospheric aerosol size
distribution, J. Aerosol Sci., 26, 989–1001, 1995.</mixed-citation></ref>
      <ref id="bib1.bibx12"><label>Diner et al.(2004)Diner, Ackerman, Anderson, Bösemberg, Braverman,
Charlson, Collins, Davies, Holben, Hostetler, Kahn, Martonchik, Menzies,
Miller, Ogren, Penner, Rasch, Schwartz, Seinfeld, Stephens, Torres, Travis,
Wielicki, and Yu</label><mixed-citation>
Diner, D. J., Ackerman, T., Anderson, T. L., Bösemberg, J., Braverman, A. J.,
Charlson, R. J., Collins, W. D., Davies, R., Holben, B. N., Hostetler, C. A.,
Kahn, R. A., Martonchik, J. V., Menzies, R. T., Miller, M. A., Ogren, J. A.,
Penner, J. E., Rasch, P. J., Schwartz, S. E., Seinfeld, J. H., Stephens,
G. L., Torres, O., Travis, D. D., Wielicki, B. A., and Yu, B.: PARAGON: An
Integrated Approach for Characterizing Aerosol Climate Impacts and
Environmental Interactions, B. Am. Meteor. Soc., 85, 1491–1501, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx13"><label>Engelmann et al.(2016)Engelmann, Guerrero-Rascado, Alados-Arboledas,
Wandinger, Freudenthaler, Baars, Mattis, Groß, Pappalardo, Amodeo, D'Amico,
Giunta, Chaikovsky, Osipenko, Slesar, Nicolae, Belegante, Serikov, Linné,
Jansen, Apituley, Wilson, Trickl, and Rocadenbosch</label><mixed-citation>
Engelmann, R., Guerrero-Rascado, J. L., Alados-Arboledas, L., Wandinger, U.,
Freudenthaler, V., Baars, H., Mattis, I., Groß, S., Pappalardo, G., Amodeo,
A., D'Amico, G., Giunta, A., Chaikovsky, A., Osipenko, F., Slesar, A.,
Nicolae, D., Belegante, L., Serikov, I., Linné, H., Jansen, F., Apituley,
A., Wilson, K., Trickl, T., and Rocadenbosch, F.: Calibrated backscatter
measurement at 1064 nm with lidar: Techniques used in EARLINET and ACTRIS,
Atmos. Meas. Tech. Discuss., in preparation, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx14"><label>Fernald(1984)</label><mixed-citation>
Fernald, F. G.: Analysis of atmospheric lidar observations: some comments,
Appl. Optics, 23, 652–653, 1984.</mixed-citation></ref>
      <ref id="bib1.bibx15"><label>Freudenthaler et al.(2010)Freudenthaler, Gross, Engelmann, Mattis,
Wandinger, Pappalardo, Amodeo, Giunta, D'Amico, Chaikovsky, Osipenko, Slesar,
Nicolae, Belegante, Talianu, Serikov, Linne, Jansen, Wilson, De Graaf,
Apituley, Trickl, Giehl, and Adam</label><mixed-citation>
Freudenthaler, V., Gross, S., Engelmann, R., Mattis, I., Wandinger, U.,
Pappalardo, G., Amodeo, A., Giunta, A., D'Amico, G., Chaikovsky, A.,
Osipenko, F., Slesar, A., Nicolae, D., Belegante, L., Talianu, C., Serikov,
I., Linne, H., Jansen, F., Wilson, K., De Graaf, M., Apituley, A., Trickl,
T., Giehl, H., and Adam, M.: EARLI09 – Direct intercomparison of 11 EARLINET
lidar systems, in: Proceedings of 25th International Laser Radar
Conference (ILRC), pp. 891–894, St. Petersburg, Russia, 5–9 July 2010,
2010.</mixed-citation></ref>
      <ref id="bib1.bibx16"><label>Freudenthaler et al.(2016)Freudenthaler, Linné, Chaikovsky, Groß,
and Rabus</label><mixed-citation>
Freudenthaler, V., Linné, H., Chaikovsky, A., Groß, S., and Rabus, D.:
Internal quality assurance tools, Atmos. Meas. Tech. Discuss., in
preparation, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx17"><label>Holben et al.(1998)Holben, Eck, Slutsker, Tanré, Buis, Setzer,
Vermote, Reagan, Kaufman, Nakajima, Lavenu, Jankowiak, and
Smirnov</label><mixed-citation>
Holben, B., Eck, T., Slutsker, I., Tanré, D., Buis, J., Setzer, A., Vermote,
E., Reagan, J., Kaufman, Y., Nakajima, T., Lavenu, F., Jankowiak, I., and
Smirnov, A.: AERONET-A Federated Instrument Network and Data Archive for
Aerosol Characterization, Remote Sens. Environ., 66, 1–16, 1998.</mixed-citation></ref>
      <ref id="bib1.bibx18"><label>Intergovernmental Panel on Climate Change(2007)</label><mixed-citation>Intergovernmental Panel on Climate Change: Fourth Assessment Report: Climate
Change 2007: The AR4 Synthesis Report, Geneva: IPCC,
available at:  <uri>https://www.ipcc.ch/publications_and_data/ar4/syr/en/main.html</uri> (last access: 9 November 2015), 2007.</mixed-citation></ref>
      <ref id="bib1.bibx19"><label>Intergovernmental Panel on Climate Change(2013)</label><mixed-citation>Intergovernmental Panel on Climate Change: Climate Change 2013: The Physical
Science Basis, Contribution of Working Group I to the Fifth Assessment Report
of the Intergovernmental Panel on Climate Change, Cambridge University Press,
Cambridge, United Kingdom and New York, NY, USA,
available at: <uri>http://www.climatechange2013.org</uri>  (last access: 9 November 2015), 2013.</mixed-citation></ref>
      <ref id="bib1.bibx20"><label>Johnson et al.(1966)Johnson, Jones, McLean, and Pike</label><mixed-citation>
Johnson, F. A., Jones, R., McLean, T. P., and Pike, E. R.: Dead-Time
Corrections to Photon Counting Distributions, Phys. Rev. Lett., 16, 589–592,
1966.</mixed-citation></ref>
      <ref id="bib1.bibx21"><label>Klett(1981)</label><mixed-citation>
Klett, J. D.: Stable analytical inversion solution for processing lidar
returns, Appl. Opt., 20, 211–220, 1981.</mixed-citation></ref>
      <ref id="bib1.bibx22"><label>Klett(1985)</label><mixed-citation>
Klett, J. D.: Lidar inversion with variable backscatter/extinction ratios,
Appl. Opt., 24, 1638–1643, 1985.</mixed-citation></ref>
      <ref id="bib1.bibx23"><label>Madonna et al.(2011)Madonna, Amodeo, Boselli, Cornacchia, D'Amico,
Giunta, Mona, Pappalardo, and Cuomo</label><mixed-citation>Madonna, F., Amodeo, A., Boselli, A., Cornacchia, C., Cuomo, V., D'Amico, G.,
Giunta, A., Mona, L., and Pappalardo, G.: CIAO: the CNR-IMAA advanced
observatory for atmospheric research, Atmos. Meas. Tech., 4, 1191–1208,
<ext-link xlink:href="http://dx.doi.org/10.5194/amt-4-1191-2011" ext-link-type="DOI">10.5194/amt-4-1191-2011</ext-link>, 2011.</mixed-citation></ref>
      <ref id="bib1.bibx24"><label>Matthias et al.(2004)Matthias, Freudenthaler, Amodeo, Balin, Balis,
Bösenberg, Chaikovsky, Chourdakis, Comeron, Delaval, De Tomasi, Eixmann,
Hågård, Komguem, Kreipl, Matthey, Rizi, Rodrigues, Wandinger, and
Wang</label><mixed-citation>
Matthias, V., Freudenthaler, V., Amodeo, A., Balin, I., Balis, D.,
Bösenberg, J., Chaikovsky, A., Chourdakis, G., Comeron, A., Delaval, A.,
De Tomasi, F., Eixmann, R., Hågård, A., Komguem, L., Kreipl, S.,
Matthey, R., Rizi, V., Rodrigues, J. A., Wandinger, U., and Wang, X.: Aerosol
lidar intercomparison in the framework of the EARLINET project.
1.Instruments: erratum, Appl. Opt., 43, 2578–2579, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx25"><label>Mattis et al.(2003)Mattis, Ansmann, Wandinger, and
Müller</label><mixed-citation>Mattis, I., Ansmann, A., Wandinger, U., and Müller, D.: Unexpectedly high
aerosol load in the free troposphere over central Europe in spring/summer
2003, Geophys. Res. Lett., 30, 2178,
<ext-link xlink:href="http://dx.doi.org/10.1029/2003GL018442" ext-link-type="DOI">10.1029/2003GL018442</ext-link>, 2003.</mixed-citation></ref>
      <ref id="bib1.bibx26"><label>Mattis et al.(2004)Mattis, Ansmann, Müller, Wandinger, and
Althausen</label><mixed-citation>Mattis, I., Ansmann, A., Müller, D., Wandinger, U., and Althausen, D.:
Multiyear aerosol observations with dual-wavelength Raman lidar in the
framework of EARLINET, J. Geophys. Res., 109, D13203,
<ext-link xlink:href="http://dx.doi.org/10.1029/2004JD004600" ext-link-type="DOI">10.1029/2004JD004600</ext-link>, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx27"><label>Mattis et al.(2009)Mattis, Tesche, Grein, Freudenthaler, and
Müller</label><mixed-citation>
Mattis, I., Tesche, M., Grein, M., Freudenthaler, V., and Müller, D.:
Systematic error of lidar profiles caused by a polarization-dependent
receiver transmission: quantification and error correction scheme, Appl.
Opt., 48, 2742–2751, 2009.</mixed-citation></ref>
      <ref id="bib1.bibx28"><label>Mattis et al.(2016)Mattis, D'Amico, Madonna, Amodeo, and
Baars</label><mixed-citation>
Mattis, I., D'Amico, G., Madonna, F., Amodeo, A., and Baars, H.: EARLINET
Single Calculus Chain – technical – Part 2: Calculation of optical products,
Atmos. Meas. Tech. Discuss., in preparation, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx29"><label>Müller et al.(1999a)Müller, Wandinger, and
Ansmann</label><mixed-citation>
Müller, D., Wandinger, U., and Ansmann, A.: Microphysical particle parameters
from extinction and backscatter lidar data by inversion with regularization:
theory, Appl. Opt., 38, 2346–2357, 1999a.</mixed-citation></ref>
      <ref id="bib1.bibx30"><label>Müller et al.(1999b)Müller, Wandinger, and
Ansmann</label><mixed-citation>
Müller, D., Wandinger, U., and Ansmann, A.: Microphysical particle parameters
from extinction and backscatter lidar data by inversion with regularization:
simulation, Appl. Opt., 38, 2358–2368, 1999b.</mixed-citation></ref>
      <ref id="bib1.bibx31"><label>Müller et al.(2005)Müller, Mattis, Wandinger, Ansmann, Althausen,
and Stohl</label><mixed-citation>Müller, D., Mattis, I., Wandinger, U., Ansmann, A., Althausen, D., and Stohl,
A.: Raman lidar observations of aged Siberian and Canadian forest fire smoke
in the free troposphere over Germany in 2003: microphysical particle
characterization, J. Geophys. Res., 110, D17201,
<ext-link xlink:href="http://dx.doi.org/10.1029/2004JD005756" ext-link-type="DOI">10.1029/2004JD005756</ext-link>, 2005.</mixed-citation></ref>
      <ref id="bib1.bibx32"><label>Müller et al.(2016)Müller, Böckmann, Kolgotin, Schneidenbach,
Chemyakin, Rosemann, Znak, and Romanov</label><mixed-citation>
Müller, D., Böckmann, C., Kolgotin, A., Schneidenbach, L., Chemyakin, E.,
Rosemann, J., Znak, P., and Romanov, A.: Microphysical particle properties
derived from inversion algorithms developed in the framework of EARLINET,
Atmos. Meas. Tech. Discuss., in preparation, 2016.</mixed-citation></ref>
      <ref id="bib1.bibx33"><label>Nemuc et al.(2013)Nemuc, Vasilescu, Talianu, Belegante, and
Nicolae</label><mixed-citation>Nemuc, A., Vasilescu, J., Talianu, C., Belegante, L., and Nicolae, D.:
Assessment of aerosol's mass concentrations from measured linear particle
depolarization ratio (vertically resolved) and simulations, Atmos. Meas.
Tech., 6, 3243–3255, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-6-3243-2013" ext-link-type="DOI">10.5194/amt-6-3243-2013</ext-link>, 2013.</mixed-citation></ref>
      <ref id="bib1.bibx34"><label>Papayannis et al.(1990)Papayannis, Ancellet, Pelon, and
Mégie</label><mixed-citation>
Papayannis, A., Ancellet, G., Pelon, J., and Mégie, G.: Multiwavelength
lidar for ozone measurements in the troposphere and the lower stratosphere,
Appl. Opt., 29, 467–476, 1990.</mixed-citation></ref>
      <ref id="bib1.bibx35"><label>Pappalardo et al.(2004)Pappalardo, Amodeo, Pandolfi, Wandinger,
Ansmann, Bösenberg, Matthias, Amiridis, De Tomasi, Frioud, Iarlori,
Komguem, Papayannis, Rocadenbosch, and Wang</label><mixed-citation>
Pappalardo, G., Amodeo, A., Pandolfi, M., Wandinger, U., Ansmann, A.,
Bösenberg, J., Matthias, V., Amiridis, V., De Tomasi, F., Frioud, M.,
Iarlori, M., Komguem, L., Papayannis, A., Rocadenbosch, F., and Wang, X.:
Aerosol lidar intercomparison in the framework of the EARLINET project. 3.
Ramanlidar algorithm for aerosol extinction, backscatter, and lidar ratio,
Appl. Opt., 43, 5370–5385, 2004.</mixed-citation></ref>
      <ref id="bib1.bibx36"><label>Pappalardo et al.(2014)Pappalardo, Amodeo, Apituley, Comeron,
Freudenthaler, Linné, Ansmann, Bösenberg, D'Amico, Mattis, Mona,
Wandinger, Amiridis, Arboledas, Nicolae, and Wiegner</label><mixed-citation>Pappalardo, G., Amodeo, A., Apituley, A., Comeron, A., Freudenthaler, V.,
Linné, H., Ansmann, A., Bösenberg, J., D'Amico, G., Mattis, I., Mona,
L., Wandinger, U., Amiridis, V., Alados-Arboledas, L., Nicolae, D., and
Wiegner, M.: EARLINET: towards an advanced sustainable European aerosol lidar
network, Atmos. Meas. Tech., 7, 2389–2409, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-7-2389-2014" ext-link-type="DOI">10.5194/amt-7-2389-2014</ext-link>,
2014.</mixed-citation></ref>
      <ref id="bib1.bibx37"><label>Sicard et al.(2015)Sicard, D'Amico, Comerón, Mona,
Alados-Arboledas, Amodeo, Baars, Belegante, Binietoglou, Bravo-Aranda,
Fernández, Fréville, Garcia-Vizcaino, Giunta, Granados-Muñoz,
Guerrero-Rascado, Hadjimitsis, Haefele, Hervo, Iarlori, Kokkalis, Lange,
Mamouri, Mattis, Molero, Montoux, Muñoz, Muñoz Porcar,
Navas-Guzmán, Nicolae, Nisantzi, Papagiannopoulos, Papayannis, Pereira,
Preißler, Pujadas, Rizi, Rocadenbosch, Sellegri, Simeonov, Tsaknakis,
Wagner, and Pappalardo</label><mixed-citation>Sicard, M., D'Amico, G., Comerón, A., Mona, L., Alados-Arboledas, L., Amodeo,
A., Baars, H., Baldasano, J. M., Belegante, L., Binietoglou, I.,
Bravo-Aranda, J. A., Fernández, A. J., Fréville, P., García-Vizcaíno, D.,
Giunta, A., Granados-Muñoz, M. J., Guerrero-Rascado, J. L., Hadjimitsis, D.,
Haefele, A., Hervo, M., Iarlori, M., Kokkalis, P., Lange, D., Mamouri, R. E.,
Mattis, I., Molero, F., Montoux, N., Muñoz, A., Muñoz Porcar, C.,
Navas-Guzmán, F., Nicolae, D., Nisantzi, A., Papagiannopoulos, N.,
Papayannis, A., Pereira, S., Preißler, J., Pujadas, M., Rizi, V.,
Rocadenbosch, F., Sellegri, K., Simeonov, V., Tsaknakis, G., Wagner, F., and
Pappalardo, G.: EARLINET: potential operationality of a research network,
Atmos. Meas. Tech., 8, 4587–4613, <ext-link xlink:href="http://dx.doi.org/10.5194/amt-8-4587-2015" ext-link-type="DOI">10.5194/amt-8-4587-2015</ext-link>, 2015.</mixed-citation></ref>
      <ref id="bib1.bibx38"><label>The EARLINET publishing group 2000–2010(2014)</label><mixed-citation>The EARLINET publishing group 2000-2010: EARLINET all observations
(2000-2010), World Data Center for Climate (WDCC), available at:
<uri>http://dx.doi.org/10.1594/WDCC/EN_all_measurements_2000-2010</uri> (last access: 9 November 2015),
2014.</mixed-citation></ref>
      <ref id="bib1.bibx39"><label>Voudouri et al.(2015)Voudouri, Siomos, Giannakaki, Amiridis, D'Amico,
and Balis</label><mixed-citation>
Voudouri, K., Siomos, N., Giannakaki, E., Amiridis, V., D'Amico, G., and Balis,
D.: Comparison of Aerosol Backscatter and Extinction Profiles Based on the
EARLINET Database and The Single Calculus chain for Thessaloniki Greece
(2001–2014), in: Proceedings of 27th International Laser Radar
Conference (ILRC), 5–10 July 2015,  PS C1–27, New York, United States,  2–15,
2015.</mixed-citation></ref>
      <ref id="bib1.bibx40"><label>Wandinger et al.(2002)Wandinger, Müller, Bockmann, Althausen,
Matthias, Bosenberg, Weiß, Fiebig, Wendisch, Stohl, and
Ansmann</label><mixed-citation>Wandinger, U., Müller, D., Bockmann, C., Althausen, D., Matthias, V.,
Bosenberg, J., Weiß, V., Fiebig, M., Wendisch, M., Stohl, A., and Ansmann,
A.: Optical and microphysical characterization of biomass-burning and
industrial-pollution aerosols from multiwavelength lidar and aircraft
measurements, J. Geophys. Res., 107, 8125,
<ext-link xlink:href="http://dx.doi.org/10.1029/2000JD000202" ext-link-type="DOI">10.1029/2000JD000202</ext-link>, 2002.</mixed-citation></ref>
      <ref id="bib1.bibx41"><label>Wandinger et al.(2015)Wandinger, Freudenthaler, Baars, Amodeo,
Engelmann, Mattis, Groß, Pappalardo, Giunta, D'Amico, Chaikovsky,
Osipenko, Slesar, Nicolae, Belegante, Talianu, Serikov, Linné, Jansen,
Apituley, Wilson, de Graaf, Trickl, Giehl, Adam, Comerón, Muñoz,
Rocadenbosch, Sicard, Tomás, Lange, Kumar, Pujadas, Molero, Fernández,
Alados-Arboledas, Bravo-Aranda, Navas-Guzmán, Guerrero-Rascado,
Granados-Muñoz, Preißler, Wagner, Gausa, Grigorov, Stoyanov, Iarlori,
Rizi, Spinelli, Boselli, Wang, Lo Feudo, Perrone, De Tomasi, and
Burlizzi</label><mixed-citation>Wandinger, U., Freudenthaler, V., Baars, H., Amodeo, A., Engelmann, R.,
Mattis, I., Groß, S., Pappalardo, G., Giunta, A., D'Amico, G.,
Chaikovsky, A., Osipenko, F., Slesar, A., Nicolae, D., Belegante, L.,
Talianu, C., Serikov, I., Linné, H., Jansen, F., Apituley, A., Wilson, K.
M., de Graaf, M., Trickl, T., Giehl, H., Adam, M., Comerón, A.,
Muñoz, C., Rocadenbosch, F., Sicard, M., Tomás, S., Lange, D., Kumar,
D., Pujadas, M., Molero, F., Fernández, A. J., Alados-Arboledas, L.,
Bravo-Aranda, J. A., Navas-Guzmán, F., Guerrero-Rascado, J. L.,
Granados-Muñoz, M. J., Preißler, J., Wagner, F., Gausa, M., Grigorov,
I., Stoyanov, D., Iarlori, M., Rizi, V., Spinelli, N., Boselli, A., Wang, X.,
Lo Feudo, T., Perrone, M. R., De Tomasi, F., and Burlizzi, P.: EARLINET
instrument intercomparison campaigns: overview on strategy and results,
Atmos. Meas. Tech. Discuss., 8, 10473–10522, <ext-link xlink:href="http://dx.doi.org/10.5194/amtd-8-10473-2015" ext-link-type="DOI">10.5194/amtd-8-10473-2015</ext-link>,
2015.</mixed-citation></ref>
      <ref id="bib1.bibx42"><label>Wang et al.(2014)Wang, Sartelet, Bocquet, Chazette, Sicard, D'Amico,
Léon, Alados-Arboledas, Amodeo, Augustin, Bach, Belegante, Binietoglou,
Bush, Comerón, Delbarre, García-Vízcaino, Guerrero-Rascado,
Hervo, Iarlori, Kokkalis, Lange, Molero, Montoux, Muñoz, Muñoz, Nicolae,
Papayannis, Pappalardo, Preißler, Rizi, Rocadenbosch, Sellegri, Wagner,
and Dulac</label><mixed-citation>Wang, Y., Sartelet, K. N., Bocquet, M., Chazette, P., Sicard, M., D'Amico,
G., Léon, J. F., Alados-Arboledas, L., Amodeo, A., Augustin, P., Bach,
J., Belegante, L., Binietoglou, I., Bush, X., Comerón, A., Delbarre, H.,
García-Vízcaino, D., Guerrero-Rascado, J. L., Hervo, M., Iarlori,
M., Kokkalis, P., Lange, D., Molero, F., Montoux, N., Muñoz, A.,
Muñoz, C., Nicolae, D., Papayannis, A., Pappalardo, G., Preissler, J.,
Rizi, V., Rocadenbosch, F., Sellegri, K., Wagner, F., and Dulac, F.:
Assimilation of lidar signals: application to aerosol forecasting in the
western Mediterranean basin, Atmos. Chem. Phys., 14, 12031–12053,
<ext-link xlink:href="http://dx.doi.org/10.5194/acp-14-12031-2014" ext-link-type="DOI">10.5194/acp-14-12031-2014</ext-link>, 2014.
</mixed-citation></ref><?xmltex \hack{\newpage}?>
      <ref id="bib1.bibx43"><label>Whiteman et al.(1992)Whiteman, Melfi, and Ferrare</label><mixed-citation>
Whiteman, D. N., Melfi, S. H., and Ferrare, R. A.: Raman lidar system for the
measurement of water vapor and aerosols in the Earth's atmosphere, Appl.
Opt., 31, 3068–3082, 1992.</mixed-citation></ref>
      <ref id="bib1.bibx44"><label>Winker et al.(2007)Winker, Hunt, and McGill</label><mixed-citation>Winker, D. M., Hunt, W. H., and McGill, M. J.: Initial performance assessment
of CALIOP, Geophys. Res. Lett., 34, L19803,
<ext-link xlink:href="http://dx.doi.org/10.1029/2007GL030135" ext-link-type="DOI">10.1029/2007GL030135</ext-link>, 2007.</mixed-citation></ref>

  </ref-list><app-group content-type="float"><app><title/>

    </app></app-group></back>
    <!--<article-title-html>EARLINET Single Calculus Chain – overview on   methodology  and strategy</article-title-html>
<abstract-html><h6 xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg">Abstract. </h6><p xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" class="p">In this paper we describe the EARLINET Single Calculus Chain (SCC), a tool for
the automatic analysis of lidar measurements. The development of this
tool started in the framework of EARLINET-ASOS (European Aerosol
Research Lidar Network – Advanced Sustainable Observation System); it was extended within ACTRIS (Aerosol, Clouds and
Trace gases Research InfraStructure Network), and it is continuing within
ACTRIS-2. The main idea was to develop a data processing chain that allows all
EARLINET stations to retrieve, in a fully automatic way, the aerosol
backscatter and extinction profiles starting from the raw lidar data
of the lidar systems they operate. The calculus subsystem of the SCC
is composed of two modules: a pre-processor module which handles the
raw lidar data and corrects them for instrumental effects and an optical
processing module for the retrieval of aerosol optical products from
the pre-processed data. All input parameters needed to perform the
lidar analysis are stored in a database to keep track of all changes which may occur for any
EARLINET lidar system over the time. The two calculus modules are coordinated and synchronized by an additional module (daemon)
which makes the whole analysis process fully automatic. The end user
can interact with the SCC via a user-friendly web interface.
All SCC modules are developed using open-source and freely available
software packages.
The final products retrieved by the SCC fulfill all requirements of the EARLINET quality assurance
programs on both instrumental and algorithm levels. Moreover, the
manpower needed to provide aerosol optical products is greatly reduced
and thus the near-real-time availability of lidar data is improved.
The high-quality of the SCC products is proven by the good
agreement between the SCC analysis, and the corresponding independent manual
retrievals. Finally, the ability of the SCC to provide high-quality
aerosol optical products is demonstrated for an EARLINET intense
observation period.</p></abstract-html>
<ref-html id="bib1.bib1"><label>Ackermann(1998)</label><mixed-citation>
Ackermann, J.: The extinction-to-backscattering ratio of tropospheric aerosol:
a numerical study, J. Atmos. Ocean. Technol., 15, 1043–1050, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib2"><label>Althausen et al.(2013)Althausen, Engelmann, Baars, Heese, Kanitz,
Komppula, Giannakaki, Pfüller, Silva, Preißler, Wagner, Rascado,
Pereira, Lim, Ahn, Tesche, and Stachlewska</label><mixed-citation>
Althausen, D., Engelmann, R., Baars, H., Heese, B., Kanitz, T., Komppula, M.,
Giannakaki, E., Pfüller, A., Silva, A. M., Preißler, I., Wagner, F.,
Rascado, J. L., Pereira, S., Lim, J., Ahn, J. Y., Tesche, M., and
Stachlewska, I. S.: PollyNET: a network of multiwavelength polarization Raman
lidars, in: Proc. of SPIE, vol. 8894, Lidar Technologies, Techniques, and
Measurements for Atmospheric Remote Sensing IX,
88940I–1–88940I–10, International Society for Optical Engineering, P.O. Box 10, Bellingham, WA 98227-0010 USA, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib3"><label>Amodeo et al.(2016)Amodeo, D'Amico, Mattis, Freudenthaler, and
Pappalardo</label><mixed-citation>
Amodeo, A., D'Amico, G., Mattis, I., Freudenthaler, V., and Pappalardo, G.:
Error calculation for EARLINET products in the context of quality assurance
and single calculus chain, Atmos. Meas. Tech. Discuss., in preparation, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib4"><label>Ansmann et al.(1990)Ansmann, Riebesell, and Weitcamp</label><mixed-citation>
Ansmann, A., Riebesell, M., and Weitcamp, C.: Measurement of atmospheric
aerosol extinction profiles with a Raman lidar, Opt. Lett., 15, 746–748,
1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib5"><label>Ansmann et al.(1992)Ansmann, Riebesell, Wandinger, Weitcamp, Voss,
Lahmann, and Michaelis</label><mixed-citation>
Ansmann, A., Riebesell, M., Wandinger, U., Weitcamp, C., Voss, E., Lahmann, W.,
and Michaelis, W.: Combined Raman elastic-backscatter lidar for vertical
profiling of moisture, aerosol extinction, backscatter and lidar ratio, Appl.
Phys. B, 55, 18–28, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib6"><label>Böckmann(2001)</label><mixed-citation>
Böckmann, C.: Hybrid regularization method for the ill-posed inversion of
multiwavelength lidar data in the retrieval of aeorosol size distributions,
Appl. Optics, 40, 1329–1342, 2001.
</mixed-citation></ref-html>
<ref-html id="bib1.bib7"><label>Böckmann et al.(2004)Böckmann, Wandinger, Ansmann,
Bösenberg, Amiridis, Boselli, Delaval, De Tomasi, Frioud, Grigorov,
Hågård, Horvat, Iarlori, Komguem, Kreipl, Larchevêque, Matthias,
Papayannis, Pappalardo, Rocadenbosch, Rodrigues, Schneider, Shcherbakov, and
Wiegner</label><mixed-citation>
Böckmann, C., Wandinger, U., Ansmann, A., Bösenberg, J., Amiridis, V.,
Boselli, A., Delaval, A., De Tomasi, F., Frioud, M., Grigorov, I. V.,
Hågård, A., Horvat, M., Iarlori, M., Komguem, L., Kreipl, S.,
Larchevêque, G., Matthias, V., Papayannis, A., Pappalardo, G.,
Rocadenbosch, F., Rodrigues, J. A., Schneider, J., Shcherbakov, V., and
Wiegner, M.: Aerosol lidar intercomparison in the framework of the EARLINET
project. 2.Aerosol backscatter algorithms, Appl. Opt., 43, 977–989, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib8"><label>Bösenberg et al.(2008)Bösenberg, Hoff, Ansmann, Müller,
Antuña, Whiteman, Sugimoto, Apituley, Hardesty, Welton, Eloranta, Arshinov,
Kinne, and Freudenthaler</label><mixed-citation>
Bösenberg, J., Hoff, R., Ansmann, A., Müller, D., Antuña, J. C.,
Whiteman, D., Sugimoto, N., Apituley, A., Hardesty, M., Welton, J., Eloranta,
E., Arshinov, Y., Kinne, S., and Freudenthaler, V.: GAW Report No. 178: Plan
for the implementation of the GAW Aerosol Lidar Observation Network GALION,
Tech. rep., Geneva, World Meteorological Organization, available at:
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="ftp://ftp.wmo.int/Documents/PublicWeb/arep/gaw/gaw178-galion-27-Oct.pdf" title="" class="ref">ftp://ftp.wmo.int/Documents/PublicWeb/arep/gaw/gaw178-galion-27-Oct.pdf</a>, 2008.
</mixed-citation></ref-html>
<ref-html id="bib1.bib9"><label>Chaikovsky et al.(2006)Chaikovsky, Ivanov, Balin, Elnikov, Tulinov,
Plusnin, Bukin, and Chen</label><mixed-citation>
Chaikovsky, A., Ivanov, A., Balin, Y., Elnikov, A., Tulinov, G., Plusnin, I.,
Bukin, O., and Chen, B.: Lidar network CIS-LiNet for monitoring aerosol and
ozone in CIS regions, in: Proc. of SPIE, vol. 6160, Twelfth Joint
International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics,
616035–1–616035–9, International Society for Optical Engineering,
P.O. Box 10, Bellingham, WA 98227-0010 USA, 2006.
</mixed-citation></ref-html>
<ref-html id="bib1.bib10"><label>D'Amico et al.(2015)D'Amico, Amodeo, Mattis, Freudenthaler, and
Pappalardo</label><mixed-citation>
D'Amico, G., Amodeo, A., Mattis, I., Freudenthaler, V., and Pappalardo, G.:
EARLINET Single Calculus Chain – technical – Part 1: Pre-processing of raw
lidar data, Atmos. Meas. Tech. Discuss., 8, 10387–10428,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amtd-8-10387-2015" title="" class="ref">10.5194/amtd-8-10387-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib11"><label>Di Girolamo et al.(1995)Di Girolamo, Gagliardi, Pappalardo, Spinelli,
Velotta, and Berardi</label><mixed-citation>
Di Girolamo, P., Gagliardi, R., Pappalardo, G., Spinelli, N., Velotta, R., and
Berardi, V.: Two wavelength lidar analysis of stratospheric aerosol size
distribution, J. Aerosol Sci., 26, 989–1001, 1995.
</mixed-citation></ref-html>
<ref-html id="bib1.bib12"><label>Diner et al.(2004)Diner, Ackerman, Anderson, Bösemberg, Braverman,
Charlson, Collins, Davies, Holben, Hostetler, Kahn, Martonchik, Menzies,
Miller, Ogren, Penner, Rasch, Schwartz, Seinfeld, Stephens, Torres, Travis,
Wielicki, and Yu</label><mixed-citation>
Diner, D. J., Ackerman, T., Anderson, T. L., Bösemberg, J., Braverman, A. J.,
Charlson, R. J., Collins, W. D., Davies, R., Holben, B. N., Hostetler, C. A.,
Kahn, R. A., Martonchik, J. V., Menzies, R. T., Miller, M. A., Ogren, J. A.,
Penner, J. E., Rasch, P. J., Schwartz, S. E., Seinfeld, J. H., Stephens,
G. L., Torres, O., Travis, D. D., Wielicki, B. A., and Yu, B.: PARAGON: An
Integrated Approach for Characterizing Aerosol Climate Impacts and
Environmental Interactions, B. Am. Meteor. Soc., 85, 1491–1501, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib13"><label>Engelmann et al.(2016)Engelmann, Guerrero-Rascado, Alados-Arboledas,
Wandinger, Freudenthaler, Baars, Mattis, Groß, Pappalardo, Amodeo, D'Amico,
Giunta, Chaikovsky, Osipenko, Slesar, Nicolae, Belegante, Serikov, Linné,
Jansen, Apituley, Wilson, Trickl, and Rocadenbosch</label><mixed-citation>
Engelmann, R., Guerrero-Rascado, J. L., Alados-Arboledas, L., Wandinger, U.,
Freudenthaler, V., Baars, H., Mattis, I., Groß, S., Pappalardo, G., Amodeo,
A., D'Amico, G., Giunta, A., Chaikovsky, A., Osipenko, F., Slesar, A.,
Nicolae, D., Belegante, L., Serikov, I., Linné, H., Jansen, F., Apituley,
A., Wilson, K., Trickl, T., and Rocadenbosch, F.: Calibrated backscatter
measurement at 1064 nm with lidar: Techniques used in EARLINET and ACTRIS,
Atmos. Meas. Tech. Discuss., in preparation, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib14"><label>Fernald(1984)</label><mixed-citation>
Fernald, F. G.: Analysis of atmospheric lidar observations: some comments,
Appl. Optics, 23, 652–653, 1984.
</mixed-citation></ref-html>
<ref-html id="bib1.bib15"><label>Freudenthaler et al.(2010)Freudenthaler, Gross, Engelmann, Mattis,
Wandinger, Pappalardo, Amodeo, Giunta, D'Amico, Chaikovsky, Osipenko, Slesar,
Nicolae, Belegante, Talianu, Serikov, Linne, Jansen, Wilson, De Graaf,
Apituley, Trickl, Giehl, and Adam</label><mixed-citation>
Freudenthaler, V., Gross, S., Engelmann, R., Mattis, I., Wandinger, U.,
Pappalardo, G., Amodeo, A., Giunta, A., D'Amico, G., Chaikovsky, A.,
Osipenko, F., Slesar, A., Nicolae, D., Belegante, L., Talianu, C., Serikov,
I., Linne, H., Jansen, F., Wilson, K., De Graaf, M., Apituley, A., Trickl,
T., Giehl, H., and Adam, M.: EARLI09 – Direct intercomparison of 11 EARLINET
lidar systems, in: Proceedings of 25th International Laser Radar
Conference (ILRC), pp. 891–894, St. Petersburg, Russia, 5–9 July 2010,
2010.
</mixed-citation></ref-html>
<ref-html id="bib1.bib16"><label>Freudenthaler et al.(2016)Freudenthaler, Linné, Chaikovsky, Groß,
and Rabus</label><mixed-citation>
Freudenthaler, V., Linné, H., Chaikovsky, A., Groß, S., and Rabus, D.:
Internal quality assurance tools, Atmos. Meas. Tech. Discuss., in
preparation, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib17"><label>Holben et al.(1998)Holben, Eck, Slutsker, Tanré, Buis, Setzer,
Vermote, Reagan, Kaufman, Nakajima, Lavenu, Jankowiak, and
Smirnov</label><mixed-citation>
Holben, B., Eck, T., Slutsker, I., Tanré, D., Buis, J., Setzer, A., Vermote,
E., Reagan, J., Kaufman, Y., Nakajima, T., Lavenu, F., Jankowiak, I., and
Smirnov, A.: AERONET-A Federated Instrument Network and Data Archive for
Aerosol Characterization, Remote Sens. Environ., 66, 1–16, 1998.
</mixed-citation></ref-html>
<ref-html id="bib1.bib18"><label>Intergovernmental Panel on Climate Change(2007)</label><mixed-citation>
Intergovernmental Panel on Climate Change: Fourth Assessment Report: Climate
Change 2007: The AR4 Synthesis Report, Geneva: IPCC,
available at:  <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="https://www.ipcc.ch/publications_and_data/ar4/syr/en/main.html" title="" class="ref">https://www.ipcc.ch/publications_and_data/ar4/syr/en/main.html</a> (last access: 9 November 2015), 2007.
</mixed-citation></ref-html>
<ref-html id="bib1.bib19"><label>Intergovernmental Panel on Climate Change(2013)</label><mixed-citation>
Intergovernmental Panel on Climate Change: Climate Change 2013: The Physical
Science Basis, Contribution of Working Group I to the Fifth Assessment Report
of the Intergovernmental Panel on Climate Change, Cambridge University Press,
Cambridge, United Kingdom and New York, NY, USA,
available at: <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://www.climatechange2013.org" title="" class="ref">http://www.climatechange2013.org</a>  (last access: 9 November 2015), 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib20"><label>Johnson et al.(1966)Johnson, Jones, McLean, and Pike</label><mixed-citation>
Johnson, F. A., Jones, R., McLean, T. P., and Pike, E. R.: Dead-Time
Corrections to Photon Counting Distributions, Phys. Rev. Lett., 16, 589–592,
1966.
</mixed-citation></ref-html>
<ref-html id="bib1.bib21"><label>Klett(1981)</label><mixed-citation>
Klett, J. D.: Stable analytical inversion solution for processing lidar
returns, Appl. Opt., 20, 211–220, 1981.
</mixed-citation></ref-html>
<ref-html id="bib1.bib22"><label>Klett(1985)</label><mixed-citation>
Klett, J. D.: Lidar inversion with variable backscatter/extinction ratios,
Appl. Opt., 24, 1638–1643, 1985.
</mixed-citation></ref-html>
<ref-html id="bib1.bib23"><label>Madonna et al.(2011)Madonna, Amodeo, Boselli, Cornacchia, D'Amico,
Giunta, Mona, Pappalardo, and Cuomo</label><mixed-citation>
Madonna, F., Amodeo, A., Boselli, A., Cornacchia, C., Cuomo, V., D'Amico, G.,
Giunta, A., Mona, L., and Pappalardo, G.: CIAO: the CNR-IMAA advanced
observatory for atmospheric research, Atmos. Meas. Tech., 4, 1191–1208,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amt-4-1191-2011" title="" class="ref">10.5194/amt-4-1191-2011</a>, 2011.
</mixed-citation></ref-html>
<ref-html id="bib1.bib24"><label>Matthias et al.(2004)Matthias, Freudenthaler, Amodeo, Balin, Balis,
Bösenberg, Chaikovsky, Chourdakis, Comeron, Delaval, De Tomasi, Eixmann,
Hågård, Komguem, Kreipl, Matthey, Rizi, Rodrigues, Wandinger, and
Wang</label><mixed-citation>
Matthias, V., Freudenthaler, V., Amodeo, A., Balin, I., Balis, D.,
Bösenberg, J., Chaikovsky, A., Chourdakis, G., Comeron, A., Delaval, A.,
De Tomasi, F., Eixmann, R., Hågård, A., Komguem, L., Kreipl, S.,
Matthey, R., Rizi, V., Rodrigues, J. A., Wandinger, U., and Wang, X.: Aerosol
lidar intercomparison in the framework of the EARLINET project.
1.Instruments: erratum, Appl. Opt., 43, 2578–2579, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib25"><label>Mattis et al.(2003)Mattis, Ansmann, Wandinger, and
Müller</label><mixed-citation>
Mattis, I., Ansmann, A., Wandinger, U., and Müller, D.: Unexpectedly high
aerosol load in the free troposphere over central Europe in spring/summer
2003, Geophys. Res. Lett., 30, 2178,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1029/2003GL018442" title="" class="ref">10.1029/2003GL018442</a>, 2003.
</mixed-citation></ref-html>
<ref-html id="bib1.bib26"><label>Mattis et al.(2004)Mattis, Ansmann, Müller, Wandinger, and
Althausen</label><mixed-citation>
Mattis, I., Ansmann, A., Müller, D., Wandinger, U., and Althausen, D.:
Multiyear aerosol observations with dual-wavelength Raman lidar in the
framework of EARLINET, J. Geophys. Res., 109, D13203,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1029/2004JD004600" title="" class="ref">10.1029/2004JD004600</a>, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib27"><label>Mattis et al.(2009)Mattis, Tesche, Grein, Freudenthaler, and
Müller</label><mixed-citation>
Mattis, I., Tesche, M., Grein, M., Freudenthaler, V., and Müller, D.:
Systematic error of lidar profiles caused by a polarization-dependent
receiver transmission: quantification and error correction scheme, Appl.
Opt., 48, 2742–2751, 2009.
</mixed-citation></ref-html>
<ref-html id="bib1.bib28"><label>Mattis et al.(2016)Mattis, D'Amico, Madonna, Amodeo, and
Baars</label><mixed-citation>
Mattis, I., D'Amico, G., Madonna, F., Amodeo, A., and Baars, H.: EARLINET
Single Calculus Chain – technical – Part 2: Calculation of optical products,
Atmos. Meas. Tech. Discuss., in preparation, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib29"><label>Müller et al.(1999a)Müller, Wandinger, and
Ansmann</label><mixed-citation>
Müller, D., Wandinger, U., and Ansmann, A.: Microphysical particle parameters
from extinction and backscatter lidar data by inversion with regularization:
theory, Appl. Opt., 38, 2346–2357, 1999a.
</mixed-citation></ref-html>
<ref-html id="bib1.bib30"><label>Müller et al.(1999b)Müller, Wandinger, and
Ansmann</label><mixed-citation>
Müller, D., Wandinger, U., and Ansmann, A.: Microphysical particle parameters
from extinction and backscatter lidar data by inversion with regularization:
simulation, Appl. Opt., 38, 2358–2368, 1999b.
</mixed-citation></ref-html>
<ref-html id="bib1.bib31"><label>Müller et al.(2005)Müller, Mattis, Wandinger, Ansmann, Althausen,
and Stohl</label><mixed-citation>
Müller, D., Mattis, I., Wandinger, U., Ansmann, A., Althausen, D., and Stohl,
A.: Raman lidar observations of aged Siberian and Canadian forest fire smoke
in the free troposphere over Germany in 2003: microphysical particle
characterization, J. Geophys. Res., 110, D17201,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1029/2004JD005756" title="" class="ref">10.1029/2004JD005756</a>, 2005.
</mixed-citation></ref-html>
<ref-html id="bib1.bib32"><label>Müller et al.(2016)Müller, Böckmann, Kolgotin, Schneidenbach,
Chemyakin, Rosemann, Znak, and Romanov</label><mixed-citation>
Müller, D., Böckmann, C., Kolgotin, A., Schneidenbach, L., Chemyakin, E.,
Rosemann, J., Znak, P., and Romanov, A.: Microphysical particle properties
derived from inversion algorithms developed in the framework of EARLINET,
Atmos. Meas. Tech. Discuss., in preparation, 2016.
</mixed-citation></ref-html>
<ref-html id="bib1.bib33"><label>Nemuc et al.(2013)Nemuc, Vasilescu, Talianu, Belegante, and
Nicolae</label><mixed-citation>
Nemuc, A., Vasilescu, J., Talianu, C., Belegante, L., and Nicolae, D.:
Assessment of aerosol's mass concentrations from measured linear particle
depolarization ratio (vertically resolved) and simulations, Atmos. Meas.
Tech., 6, 3243–3255, <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amt-6-3243-2013" title="" class="ref">10.5194/amt-6-3243-2013</a>, 2013.
</mixed-citation></ref-html>
<ref-html id="bib1.bib34"><label>Papayannis et al.(1990)Papayannis, Ancellet, Pelon, and
Mégie</label><mixed-citation>
Papayannis, A., Ancellet, G., Pelon, J., and Mégie, G.: Multiwavelength
lidar for ozone measurements in the troposphere and the lower stratosphere,
Appl. Opt., 29, 467–476, 1990.
</mixed-citation></ref-html>
<ref-html id="bib1.bib35"><label>Pappalardo et al.(2004)Pappalardo, Amodeo, Pandolfi, Wandinger,
Ansmann, Bösenberg, Matthias, Amiridis, De Tomasi, Frioud, Iarlori,
Komguem, Papayannis, Rocadenbosch, and Wang</label><mixed-citation>
Pappalardo, G., Amodeo, A., Pandolfi, M., Wandinger, U., Ansmann, A.,
Bösenberg, J., Matthias, V., Amiridis, V., De Tomasi, F., Frioud, M.,
Iarlori, M., Komguem, L., Papayannis, A., Rocadenbosch, F., and Wang, X.:
Aerosol lidar intercomparison in the framework of the EARLINET project. 3.
Ramanlidar algorithm for aerosol extinction, backscatter, and lidar ratio,
Appl. Opt., 43, 5370–5385, 2004.
</mixed-citation></ref-html>
<ref-html id="bib1.bib36"><label>Pappalardo et al.(2014)Pappalardo, Amodeo, Apituley, Comeron,
Freudenthaler, Linné, Ansmann, Bösenberg, D'Amico, Mattis, Mona,
Wandinger, Amiridis, Arboledas, Nicolae, and Wiegner</label><mixed-citation>
Pappalardo, G., Amodeo, A., Apituley, A., Comeron, A., Freudenthaler, V.,
Linné, H., Ansmann, A., Bösenberg, J., D'Amico, G., Mattis, I., Mona,
L., Wandinger, U., Amiridis, V., Alados-Arboledas, L., Nicolae, D., and
Wiegner, M.: EARLINET: towards an advanced sustainable European aerosol lidar
network, Atmos. Meas. Tech., 7, 2389–2409, <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amt-7-2389-2014" title="" class="ref">10.5194/amt-7-2389-2014</a>,
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib37"><label>Sicard et al.(2015)Sicard, D'Amico, Comerón, Mona,
Alados-Arboledas, Amodeo, Baars, Belegante, Binietoglou, Bravo-Aranda,
Fernández, Fréville, Garcia-Vizcaino, Giunta, Granados-Muñoz,
Guerrero-Rascado, Hadjimitsis, Haefele, Hervo, Iarlori, Kokkalis, Lange,
Mamouri, Mattis, Molero, Montoux, Muñoz, Muñoz Porcar,
Navas-Guzmán, Nicolae, Nisantzi, Papagiannopoulos, Papayannis, Pereira,
Preißler, Pujadas, Rizi, Rocadenbosch, Sellegri, Simeonov, Tsaknakis,
Wagner, and Pappalardo</label><mixed-citation>
Sicard, M., D'Amico, G., Comerón, A., Mona, L., Alados-Arboledas, L., Amodeo,
A., Baars, H., Baldasano, J. M., Belegante, L., Binietoglou, I.,
Bravo-Aranda, J. A., Fernández, A. J., Fréville, P., García-Vizcaíno, D.,
Giunta, A., Granados-Muñoz, M. J., Guerrero-Rascado, J. L., Hadjimitsis, D.,
Haefele, A., Hervo, M., Iarlori, M., Kokkalis, P., Lange, D., Mamouri, R. E.,
Mattis, I., Molero, F., Montoux, N., Muñoz, A., Muñoz Porcar, C.,
Navas-Guzmán, F., Nicolae, D., Nisantzi, A., Papagiannopoulos, N.,
Papayannis, A., Pereira, S., Preißler, J., Pujadas, M., Rizi, V.,
Rocadenbosch, F., Sellegri, K., Simeonov, V., Tsaknakis, G., Wagner, F., and
Pappalardo, G.: EARLINET: potential operationality of a research network,
Atmos. Meas. Tech., 8, 4587–4613, <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amt-8-4587-2015" title="" class="ref">10.5194/amt-8-4587-2015</a>, 2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib38"><label>The EARLINET publishing group 2000–2010(2014)</label><mixed-citation>
The EARLINET publishing group 2000-2010: EARLINET all observations
(2000-2010), World Data Center for Climate (WDCC), available at:
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1594/WDCC/EN_all_measurements_2000-2010" title="" class="ref">http://dx.doi.org/10.1594/WDCC/EN_all_measurements_2000-2010</a> (last access: 9 November 2015),
2014.
</mixed-citation></ref-html>
<ref-html id="bib1.bib39"><label>Voudouri et al.(2015)Voudouri, Siomos, Giannakaki, Amiridis, D'Amico,
and Balis</label><mixed-citation>
Voudouri, K., Siomos, N., Giannakaki, E., Amiridis, V., D'Amico, G., and Balis,
D.: Comparison of Aerosol Backscatter and Extinction Profiles Based on the
EARLINET Database and The Single Calculus chain for Thessaloniki Greece
(2001–2014), in: Proceedings of 27th International Laser Radar
Conference (ILRC), 5–10 July 2015,  PS C1–27, New York, United States,  2–15,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib40"><label>Wandinger et al.(2002)Wandinger, Müller, Bockmann, Althausen,
Matthias, Bosenberg, Weiß, Fiebig, Wendisch, Stohl, and
Ansmann</label><mixed-citation>
Wandinger, U., Müller, D., Bockmann, C., Althausen, D., Matthias, V.,
Bosenberg, J., Weiß, V., Fiebig, M., Wendisch, M., Stohl, A., and Ansmann,
A.: Optical and microphysical characterization of biomass-burning and
industrial-pollution aerosols from multiwavelength lidar and aircraft
measurements, J. Geophys. Res., 107, 8125,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1029/2000JD000202" title="" class="ref">10.1029/2000JD000202</a>, 2002.
</mixed-citation></ref-html>
<ref-html id="bib1.bib41"><label>Wandinger et al.(2015)Wandinger, Freudenthaler, Baars, Amodeo,
Engelmann, Mattis, Groß, Pappalardo, Giunta, D'Amico, Chaikovsky,
Osipenko, Slesar, Nicolae, Belegante, Talianu, Serikov, Linné, Jansen,
Apituley, Wilson, de Graaf, Trickl, Giehl, Adam, Comerón, Muñoz,
Rocadenbosch, Sicard, Tomás, Lange, Kumar, Pujadas, Molero, Fernández,
Alados-Arboledas, Bravo-Aranda, Navas-Guzmán, Guerrero-Rascado,
Granados-Muñoz, Preißler, Wagner, Gausa, Grigorov, Stoyanov, Iarlori,
Rizi, Spinelli, Boselli, Wang, Lo Feudo, Perrone, De Tomasi, and
Burlizzi</label><mixed-citation>
Wandinger, U., Freudenthaler, V., Baars, H., Amodeo, A., Engelmann, R.,
Mattis, I., Groß, S., Pappalardo, G., Giunta, A., D'Amico, G.,
Chaikovsky, A., Osipenko, F., Slesar, A., Nicolae, D., Belegante, L.,
Talianu, C., Serikov, I., Linné, H., Jansen, F., Apituley, A., Wilson, K.
M., de Graaf, M., Trickl, T., Giehl, H., Adam, M., Comerón, A.,
Muñoz, C., Rocadenbosch, F., Sicard, M., Tomás, S., Lange, D., Kumar,
D., Pujadas, M., Molero, F., Fernández, A. J., Alados-Arboledas, L.,
Bravo-Aranda, J. A., Navas-Guzmán, F., Guerrero-Rascado, J. L.,
Granados-Muñoz, M. J., Preißler, J., Wagner, F., Gausa, M., Grigorov,
I., Stoyanov, D., Iarlori, M., Rizi, V., Spinelli, N., Boselli, A., Wang, X.,
Lo Feudo, T., Perrone, M. R., De Tomasi, F., and Burlizzi, P.: EARLINET
instrument intercomparison campaigns: overview on strategy and results,
Atmos. Meas. Tech. Discuss., 8, 10473–10522, <a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/amtd-8-10473-2015" title="" class="ref">10.5194/amtd-8-10473-2015</a>,
2015.
</mixed-citation></ref-html>
<ref-html id="bib1.bib42"><label>Wang et al.(2014)Wang, Sartelet, Bocquet, Chazette, Sicard, D'Amico,
Léon, Alados-Arboledas, Amodeo, Augustin, Bach, Belegante, Binietoglou,
Bush, Comerón, Delbarre, García-Vízcaino, Guerrero-Rascado,
Hervo, Iarlori, Kokkalis, Lange, Molero, Montoux, Muñoz, Muñoz, Nicolae,
Papayannis, Pappalardo, Preißler, Rizi, Rocadenbosch, Sellegri, Wagner,
and Dulac</label><mixed-citation>
Wang, Y., Sartelet, K. N., Bocquet, M., Chazette, P., Sicard, M., D'Amico,
G., Léon, J. F., Alados-Arboledas, L., Amodeo, A., Augustin, P., Bach,
J., Belegante, L., Binietoglou, I., Bush, X., Comerón, A., Delbarre, H.,
García-Vízcaino, D., Guerrero-Rascado, J. L., Hervo, M., Iarlori,
M., Kokkalis, P., Lange, D., Molero, F., Montoux, N., Muñoz, A.,
Muñoz, C., Nicolae, D., Papayannis, A., Pappalardo, G., Preissler, J.,
Rizi, V., Rocadenbosch, F., Sellegri, K., Wagner, F., and Dulac, F.:
Assimilation of lidar signals: application to aerosol forecasting in the
western Mediterranean basin, Atmos. Chem. Phys., 14, 12031–12053,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.5194/acp-14-12031-2014" title="" class="ref">10.5194/acp-14-12031-2014</a>, 2014.

</mixed-citation></ref-html>
<ref-html id="bib1.bib43"><label>Whiteman et al.(1992)Whiteman, Melfi, and Ferrare</label><mixed-citation>
Whiteman, D. N., Melfi, S. H., and Ferrare, R. A.: Raman lidar system for the
measurement of water vapor and aerosols in the Earth's atmosphere, Appl.
Opt., 31, 3068–3082, 1992.
</mixed-citation></ref-html>
<ref-html id="bib1.bib44"><label>Winker et al.(2007)Winker, Hunt, and McGill</label><mixed-citation>
Winker, D. M., Hunt, W. H., and McGill, M. J.: Initial performance assessment
of CALIOP, Geophys. Res. Lett., 34, L19803,
<a xmlns="http://www.w3.org/1999/xhtml" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:svg="http://www.w3.org/2000/svg" href="http://dx.doi.org/10.1029/2007GL030135" title="" class="ref">10.1029/2007GL030135</a>, 2007.
</mixed-citation></ref-html>--></article>
