A new description of probability density distributions of polar mesospheric clouds

<p>In this paper we present a new description of statistical probability density functions (pdfs) of polar mesospheric clouds (PMCs). The analysis is based on observations of maximum backscatter, ice mass density, ice particle radius, and number density of ice particles measured by the ALOMAR...

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Main Authors: U. Berger, G. Baumgarten, J. Fiedler, F.-J. Lübken
Format: Article
Language:English
Published: Copernicus Publications 2019-04-01
Series:Atmospheric Chemistry and Physics
Online Access:https://www.atmos-chem-phys.net/19/4685/2019/acp-19-4685-2019.pdf
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author U. Berger
G. Baumgarten
J. Fiedler
F.-J. Lübken
author_facet U. Berger
G. Baumgarten
J. Fiedler
F.-J. Lübken
author_sort U. Berger
collection DOAJ
description <p>In this paper we present a new description of statistical probability density functions (pdfs) of polar mesospheric clouds (PMCs). The analysis is based on observations of maximum backscatter, ice mass density, ice particle radius, and number density of ice particles measured by the ALOMAR Rayleigh–Mie–Raman lidar for all PMC seasons from 2002 to 2016. From this data set we derive a new class of pdfs that describe the statistics of PMC events that is different from previous statistical methods using the approach of an exponential distribution commonly named the <span class="inline-formula"><i>g</i></span> distribution. The new analysis describes successfully the probability distributions of ALOMAR lidar data. It turns out that the former <span class="inline-formula"><i>g</i></span>-function description is a special case of our new approach. In general the new statistical function can be applied to many kinds of different PMC parameters, e.g., maximum backscatter, integrated backscatter, ice mass density, ice water content, ice particle radius, ice particle number density, or albedo measured by satellites. As a main advantage the new method allows us to connect different observational PMC distributions of lidar and satellite data, and also to compare with distributions from ice model studies. In particular, the statistical distributions of different ice parameters can be compared with each other on the basis of a common assessment that facilitates, for example, trend analysis of PMC.</p>
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spelling doaj.art-b20e5869c9e6472b89e7ae1b864c238b2022-12-21T19:05:06ZengCopernicus PublicationsAtmospheric Chemistry and Physics1680-73161680-73242019-04-01194685470210.5194/acp-19-4685-2019A new description of probability density distributions of polar mesospheric cloudsU. BergerG. BaumgartenJ. FiedlerF.-J. Lübken<p>In this paper we present a new description of statistical probability density functions (pdfs) of polar mesospheric clouds (PMCs). The analysis is based on observations of maximum backscatter, ice mass density, ice particle radius, and number density of ice particles measured by the ALOMAR Rayleigh–Mie–Raman lidar for all PMC seasons from 2002 to 2016. From this data set we derive a new class of pdfs that describe the statistics of PMC events that is different from previous statistical methods using the approach of an exponential distribution commonly named the <span class="inline-formula"><i>g</i></span> distribution. The new analysis describes successfully the probability distributions of ALOMAR lidar data. It turns out that the former <span class="inline-formula"><i>g</i></span>-function description is a special case of our new approach. In general the new statistical function can be applied to many kinds of different PMC parameters, e.g., maximum backscatter, integrated backscatter, ice mass density, ice water content, ice particle radius, ice particle number density, or albedo measured by satellites. As a main advantage the new method allows us to connect different observational PMC distributions of lidar and satellite data, and also to compare with distributions from ice model studies. In particular, the statistical distributions of different ice parameters can be compared with each other on the basis of a common assessment that facilitates, for example, trend analysis of PMC.</p>https://www.atmos-chem-phys.net/19/4685/2019/acp-19-4685-2019.pdf
spellingShingle U. Berger
G. Baumgarten
J. Fiedler
F.-J. Lübken
A new description of probability density distributions of polar mesospheric clouds
Atmospheric Chemistry and Physics
title A new description of probability density distributions of polar mesospheric clouds
title_full A new description of probability density distributions of polar mesospheric clouds
title_fullStr A new description of probability density distributions of polar mesospheric clouds
title_full_unstemmed A new description of probability density distributions of polar mesospheric clouds
title_short A new description of probability density distributions of polar mesospheric clouds
title_sort new description of probability density distributions of polar mesospheric clouds
url https://www.atmos-chem-phys.net/19/4685/2019/acp-19-4685-2019.pdf
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