Serveur d'exploration sur les relations entre la France et l'Australie

Attention, ce site est en cours de développement !
Attention, site généré par des moyens informatiques à partir de corpus bruts.
Les informations ne sont donc pas validées.

Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter

Identifieur interne : 007295 ( Main/Exploration ); précédent : 007294; suivant : 007296

Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter

Auteurs : Christoph Rüdiger [Australie] ; Clément Albergel [France] ; Jean-François Mahfouf [France] ; Jean-Christophe Calvet [France] ; Jeffrey P. Walker [Australie]

Source :

RBID : ISTEX:A8F2F0CCE5DD44B07D7AD242B2E573E83D1B6972

Descripteurs français

English descriptors

Abstract

To quantify carbon and water fluxes between the vegetation and the atmosphere in a consistent manner, land surface models now include interactive vegetation components. These models treat the vegetation biomass as a prognostic model state, allowing the model to dynamically adapt the vegetation states to environmental conditions. However, it is expected that the prediction skill of such models can be greatly increased by assimilating biophysical observations such as leaf area index (LAI). The Jacobian of the observation operator, a central aspect of data assimilation methods such as the extended Kalman filter (EKF) and the variational assimilation methods, provides the required linear relationship between the observation and the model states. In this paper, the Jacobian required for assimilating LAI into the Interaction between the Soil, Biosphere and Atmosphere‐A‐gs land surface model using the EKF is studied. In particular, sensitivity experiments were undertaken on the size of the initial perturbation for estimating the Jacobian and on the length of the time window between initial state and available observation. It was found that small perturbations (0.1% of the state) typically lead to accurate estimates of the Jacobian. While other studies have shown that the assimilation of LAI with 10 day assimilation windows is possible, 1 day assimilation intervals can be chosen to comply with numerical weather prediction requirements. Moreover, the seasonal dependence of the Jacobian revealed contrasted groups of Jacobian values due to environmental factors. Further analyses showed the Jacobian values to vary as a function of the LAI itself, which has important implications for its assimilation in different seasons, as the size of the LAI increments will subsequently vary due to the variability of the Jacobian.

Url:
DOI: 10.1029/2009JD012912


Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

<record>
<TEI wicri:istexFullTextTei="biblStruct">
<teiHeader>
<fileDesc>
<titleStmt>
<title xml:lang="en">Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter</title>
<author>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
</author>
<author>
<name sortKey="Albergel, Clement" sort="Albergel, Clement" uniqKey="Albergel C" first="Clément" last="Albergel">Clément Albergel</name>
</author>
<author>
<name sortKey="Mahfouf, Jean Rancois" sort="Mahfouf, Jean Rancois" uniqKey="Mahfouf J" first="Jean-François" last="Mahfouf">Jean-François Mahfouf</name>
</author>
<author>
<name sortKey="Calvet, Jean Hristophe" sort="Calvet, Jean Hristophe" uniqKey="Calvet J" first="Jean-Christophe" last="Calvet">Jean-Christophe Calvet</name>
</author>
<author>
<name sortKey="Walker, Jeffrey P" sort="Walker, Jeffrey P" uniqKey="Walker J" first="Jeffrey P." last="Walker">Jeffrey P. Walker</name>
</author>
</titleStmt>
<publicationStmt>
<idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:A8F2F0CCE5DD44B07D7AD242B2E573E83D1B6972</idno>
<date when="2010" year="2010">2010</date>
<idno type="doi">10.1029/2009JD012912</idno>
<idno type="url">https://api.istex.fr/document/A8F2F0CCE5DD44B07D7AD242B2E573E83D1B6972/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">002008</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002008</idno>
<idno type="wicri:Area/Istex/Curation">002008</idno>
<idno type="wicri:Area/Istex/Checkpoint">000C12</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">000C12</idno>
<idno type="wicri:doubleKey">0148-0227:2010:Rudiger C:evaluation:of:the</idno>
<idno type="wicri:Area/Main/Merge">007831</idno>
<idno type="wicri:source">INIST</idno>
<idno type="RBID">Pascal:10-0341035</idno>
<idno type="wicri:Area/PascalFrancis/Corpus">002532</idno>
<idno type="wicri:Area/PascalFrancis/Curation">003A54</idno>
<idno type="wicri:Area/PascalFrancis/Checkpoint">002417</idno>
<idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">002417</idno>
<idno type="wicri:doubleKey">0148-0227:2010:Rudiger C:evaluation:of:the</idno>
<idno type="wicri:Area/Main/Merge">007E85</idno>
<idno type="wicri:Area/Main/Curation">007295</idno>
<idno type="wicri:Area/Main/Exploration">007295</idno>
</publicationStmt>
<sourceDesc>
<biblStruct>
<analytic>
<title level="a" type="main">Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter</title>
<author>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
<affiliation wicri:level="1">
<country wicri:rule="url">Australie</country>
</affiliation>
<affiliation wicri:level="4">
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Department of Civil and Environmental Engineering, University of Melbourne, Parkville</wicri:regionArea>
<orgName type="university">Université de Melbourne</orgName>
<placeName>
<settlement type="city">Melbourne</settlement>
<region type="état">Victoria (État)</region>
</placeName>
</affiliation>
<affiliation wicri:level="1">
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Now at Department of Civil Engineering, Monash University, Clayton, Victoria</wicri:regionArea>
<wicri:noRegion>Victoria</wicri:noRegion>
</affiliation>
<affiliation wicri:level="1">
<country wicri:rule="url">Australie</country>
</affiliation>
</author>
<author>
<name sortKey="Albergel, Clement" sort="Albergel, Clement" uniqKey="Albergel C" first="Clément" last="Albergel">Clément Albergel</name>
<affiliation wicri:level="3">
<country xml:lang="fr">France</country>
<wicri:regionArea>Centre National de Recherches Météorologiques, Météo‐France/CNRS, Toulouse</wicri:regionArea>
<placeName>
<region type="region">Occitanie (région administrative)</region>
<region type="old region">Midi-Pyrénées</region>
<settlement type="city">Toulouse</settlement>
</placeName>
</affiliation>
</author>
<author>
<name sortKey="Mahfouf, Jean Rancois" sort="Mahfouf, Jean Rancois" uniqKey="Mahfouf J" first="Jean-François" last="Mahfouf">Jean-François Mahfouf</name>
<affiliation wicri:level="3">
<country xml:lang="fr">France</country>
<wicri:regionArea>Centre National de Recherches Météorologiques, Météo‐France/CNRS, Toulouse</wicri:regionArea>
<placeName>
<region type="region">Occitanie (région administrative)</region>
<region type="old region">Midi-Pyrénées</region>
<settlement type="city">Toulouse</settlement>
</placeName>
</affiliation>
</author>
<author>
<name sortKey="Calvet, Jean Hristophe" sort="Calvet, Jean Hristophe" uniqKey="Calvet J" first="Jean-Christophe" last="Calvet">Jean-Christophe Calvet</name>
<affiliation wicri:level="3">
<country xml:lang="fr">France</country>
<wicri:regionArea>Centre National de Recherches Météorologiques, Météo‐France/CNRS, Toulouse</wicri:regionArea>
<placeName>
<region type="region">Occitanie (région administrative)</region>
<region type="old region">Midi-Pyrénées</region>
<settlement type="city">Toulouse</settlement>
</placeName>
</affiliation>
</author>
<author>
<name sortKey="Walker, Jeffrey P" sort="Walker, Jeffrey P" uniqKey="Walker J" first="Jeffrey P." last="Walker">Jeffrey P. Walker</name>
<affiliation wicri:level="4">
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Department of Civil and Environmental Engineering, University of Melbourne, Parkville</wicri:regionArea>
<orgName type="university">Université de Melbourne</orgName>
<placeName>
<settlement type="city">Melbourne</settlement>
<region type="état">Victoria (État)</region>
</placeName>
</affiliation>
<affiliation wicri:level="1">
<country xml:lang="fr">Australie</country>
<wicri:regionArea>Now at Department of Civil Engineering, Monash University, Clayton, Victoria</wicri:regionArea>
<wicri:noRegion>Victoria</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series>
<title level="j" type="main">Journal of Geophysical Research: Atmospheres</title>
<title level="j" type="alt">JOURNAL OF GEOPHYSICAL RESEARCH: ATMOSPHERES</title>
<idno type="ISSN">0148-0227</idno>
<idno type="eISSN">2156-2202</idno>
<imprint>
<biblScope unit="vol">115</biblScope>
<biblScope unit="issue">D9</biblScope>
<biblScope unit="page-count">10</biblScope>
<date type="published" when="2010-05-16">2010-05-16</date>
</imprint>
<idno type="ISSN">0148-0227</idno>
</series>
</biblStruct>
</sourceDesc>
<seriesStmt>
<idno type="ISSN">0148-0227</idno>
</seriesStmt>
</fileDesc>
<profileDesc>
<textClass>
<keywords scheme="KwdEn" xml:lang="en">
<term>Active biomass</term>
<term>Allometric logarithm</term>
<term>Allometric logarithm equation</term>
<term>Assimilation</term>
<term>Assimilation interval</term>
<term>Assimilation intervals</term>
<term>Assimilation system</term>
<term>Assimilation window</term>
<term>Assimilation windows</term>
<term>Background error covariance matrix</term>
<term>Background errors</term>
<term>Biomass</term>
<term>Calvet</term>
<term>Carbon assimilation</term>
<term>Civil engineering</term>
<term>Climate conditions</term>
<term>Covariance</term>
<term>Data assimilation</term>
<term>Deciduous forest</term>
<term>Difference approximation</term>
<term>Ensemble kalman filter</term>
<term>Environmental conditions</term>
<term>Environmental factor</term>
<term>Experimental site</term>
<term>Extended Kalman filter</term>
<term>Forecast skill</term>
<term>Forest meteorol</term>
<term>Geophys</term>
<term>Grassland</term>
<term>Ground surface</term>
<term>Herbaceous vegetation</term>
<term>Important implications</term>
<term>Inactive biomass</term>
<term>Initial perturbation</term>
<term>Initial perturbations</term>
<term>Initial state</term>
<term>Initial states</term>
<term>Interactive vegetation components</term>
<term>Jacobian</term>
<term>Jacobian computation</term>
<term>Jacobian matrix</term>
<term>Jacobian type</term>
<term>Jacobian values</term>
<term>Jarlan</term>
<term>Joint assimilation</term>
<term>Kalman</term>
<term>Kalman filter</term>
<term>Kalman gain</term>
<term>Land surface model</term>
<term>Land surface models</term>
<term>Land surface processes</term>
<term>Leaf area index</term>
<term>Leaf area index data assimilation</term>
<term>Linear regime</term>
<term>Linear relationship</term>
<term>Linearity regime</term>
<term>Long assimilation window</term>
<term>Mahfouf</term>
<term>Matrix</term>
<term>Meteorol</term>
<term>Minimum value</term>
<term>Model behavior</term>
<term>Model dynamics</term>
<term>Model state</term>
<term>Model states</term>
<term>Monash university</term>
<term>Negative perturbations</term>
<term>Nitrogen dilution model</term>
<term>Nitrogen dilution module</term>
<term>Nitrogen plasticity</term>
<term>Numerical weather prediction</term>
<term>Observation errors</term>
<term>Observation operator</term>
<term>Observation operator jacobian</term>
<term>Operator</term>
<term>Perturbation</term>
<term>Perturbation sizes</term>
<term>Previous studies</term>
<term>Prognostic model state</term>
<term>Remote sens</term>
<term>Sabater</term>
<term>Same nitrogen dilution model</term>
<term>Sensitivity study</term>
<term>Short assimilation interval</term>
<term>Small perturbations</term>
<term>Smosrex</term>
<term>Soil moisture</term>
<term>Soil reservoir experiment</term>
<term>Southwestern france</term>
<term>Standard deviations</term>
<term>Structural biomass</term>
<term>Such situations</term>
<term>Temporal evolution</term>
<term>Thick line</term>
<term>Thin line</term>
<term>Time evolution</term>
<term>Total biomass</term>
<term>Variational</term>
<term>Variational calculus</term>
<term>Vegetation</term>
<term>Vegetation activity</term>
<term>Vegetation biomass</term>
<term>Vegetation growth</term>
<term>Water stress</term>
<term>Weather forecast</term>
<term>Weather forecasting</term>
<term>Winter periods</term>
<term>Woody vegetation</term>
<term>Year period</term>
<term>atmosphere</term>
<term>biomass</term>
<term>biosphere</term>
<term>carbon</term>
<term>lead</term>
<term>sensitivity analysis</term>
<term>soils</term>
<term>variability</term>
<term>vegetation</term>
<term>windows</term>
</keywords>
<keywords scheme="Pascal" xml:lang="fr">
<term>Analyse sensibilité</term>
<term>Assimilation donnée</term>
<term>Atmosphère</term>
<term>Biomasse</term>
<term>Biosphère</term>
<term>Calcul variationnel</term>
<term>Carbone</term>
<term>Facteur milieu</term>
<term>Fenêtre</term>
<term>Filtre Kalman étendu</term>
<term>Indice foliaire</term>
<term>Opérateur</term>
<term>Pertinence prévision</term>
<term>Perturbation</term>
<term>Plomb</term>
<term>Prévision météorologique</term>
<term>Sol</term>
<term>Surface sol</term>
<term>Variabilité</term>
<term>Végétation</term>
</keywords>
<keywords scheme="Teeft" xml:lang="en">
<term>Active biomass</term>
<term>Allometric logarithm</term>
<term>Allometric logarithm equation</term>
<term>Assimilation</term>
<term>Assimilation interval</term>
<term>Assimilation intervals</term>
<term>Assimilation system</term>
<term>Assimilation window</term>
<term>Assimilation windows</term>
<term>Background error covariance matrix</term>
<term>Background errors</term>
<term>Biomass</term>
<term>Calvet</term>
<term>Carbon assimilation</term>
<term>Civil engineering</term>
<term>Climate conditions</term>
<term>Covariance</term>
<term>Data assimilation</term>
<term>Deciduous forest</term>
<term>Difference approximation</term>
<term>Ensemble kalman filter</term>
<term>Environmental conditions</term>
<term>Experimental site</term>
<term>Forest meteorol</term>
<term>Geophys</term>
<term>Grassland</term>
<term>Herbaceous vegetation</term>
<term>Important implications</term>
<term>Inactive biomass</term>
<term>Initial perturbation</term>
<term>Initial perturbations</term>
<term>Initial state</term>
<term>Initial states</term>
<term>Interactive vegetation components</term>
<term>Jacobian</term>
<term>Jacobian computation</term>
<term>Jacobian matrix</term>
<term>Jacobian type</term>
<term>Jacobian values</term>
<term>Jarlan</term>
<term>Joint assimilation</term>
<term>Kalman</term>
<term>Kalman filter</term>
<term>Kalman gain</term>
<term>Land surface model</term>
<term>Land surface models</term>
<term>Land surface processes</term>
<term>Leaf area index</term>
<term>Leaf area index data assimilation</term>
<term>Linear regime</term>
<term>Linear relationship</term>
<term>Linearity regime</term>
<term>Long assimilation window</term>
<term>Mahfouf</term>
<term>Matrix</term>
<term>Meteorol</term>
<term>Minimum value</term>
<term>Model behavior</term>
<term>Model dynamics</term>
<term>Model state</term>
<term>Model states</term>
<term>Monash university</term>
<term>Negative perturbations</term>
<term>Nitrogen dilution model</term>
<term>Nitrogen dilution module</term>
<term>Nitrogen plasticity</term>
<term>Numerical weather prediction</term>
<term>Observation errors</term>
<term>Observation operator</term>
<term>Observation operator jacobian</term>
<term>Perturbation</term>
<term>Perturbation sizes</term>
<term>Previous studies</term>
<term>Prognostic model state</term>
<term>Remote sens</term>
<term>Sabater</term>
<term>Same nitrogen dilution model</term>
<term>Sensitivity study</term>
<term>Short assimilation interval</term>
<term>Small perturbations</term>
<term>Smosrex</term>
<term>Soil moisture</term>
<term>Soil reservoir experiment</term>
<term>Southwestern france</term>
<term>Standard deviations</term>
<term>Structural biomass</term>
<term>Such situations</term>
<term>Temporal evolution</term>
<term>Thick line</term>
<term>Thin line</term>
<term>Time evolution</term>
<term>Total biomass</term>
<term>Variational</term>
<term>Vegetation</term>
<term>Vegetation activity</term>
<term>Vegetation biomass</term>
<term>Vegetation growth</term>
<term>Water stress</term>
<term>Weather forecasting</term>
<term>Winter periods</term>
<term>Woody vegetation</term>
<term>Year period</term>
</keywords>
<keywords scheme="Wicri" type="topic" xml:lang="fr">
<term>Atmosphère</term>
<term>Biomasse</term>
<term>Biosphère</term>
<term>Carbone</term>
<term>Génie civil</term>
<term>Plomb</term>
<term>Surface en herbe</term>
</keywords>
</textClass>
</profileDesc>
</teiHeader>
<front>
<div type="abstract">To quantify carbon and water fluxes between the vegetation and the atmosphere in a consistent manner, land surface models now include interactive vegetation components. These models treat the vegetation biomass as a prognostic model state, allowing the model to dynamically adapt the vegetation states to environmental conditions. However, it is expected that the prediction skill of such models can be greatly increased by assimilating biophysical observations such as leaf area index (LAI). The Jacobian of the observation operator, a central aspect of data assimilation methods such as the extended Kalman filter (EKF) and the variational assimilation methods, provides the required linear relationship between the observation and the model states. In this paper, the Jacobian required for assimilating LAI into the Interaction between the Soil, Biosphere and Atmosphere‐A‐gs land surface model using the EKF is studied. In particular, sensitivity experiments were undertaken on the size of the initial perturbation for estimating the Jacobian and on the length of the time window between initial state and available observation. It was found that small perturbations (0.1% of the state) typically lead to accurate estimates of the Jacobian. While other studies have shown that the assimilation of LAI with 10 day assimilation windows is possible, 1 day assimilation intervals can be chosen to comply with numerical weather prediction requirements. Moreover, the seasonal dependence of the Jacobian revealed contrasted groups of Jacobian values due to environmental factors. Further analyses showed the Jacobian values to vary as a function of the LAI itself, which has important implications for its assimilation in different seasons, as the size of the LAI increments will subsequently vary due to the variability of the Jacobian.</div>
</front>
</TEI>
<affiliations>
<list>
<country>
<li>Australie</li>
<li>France</li>
</country>
<region>
<li>Midi-Pyrénées</li>
<li>Occitanie (région administrative)</li>
<li>Victoria (État)</li>
</region>
<settlement>
<li>Melbourne</li>
<li>Toulouse</li>
</settlement>
<orgName>
<li>Université de Melbourne</li>
</orgName>
</list>
<tree>
<country name="Australie">
<noRegion>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
</noRegion>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
<name sortKey="Rudiger, Christoph" sort="Rudiger, Christoph" uniqKey="Rudiger C" first="Christoph" last="Rüdiger">Christoph Rüdiger</name>
<name sortKey="Walker, Jeffrey P" sort="Walker, Jeffrey P" uniqKey="Walker J" first="Jeffrey P." last="Walker">Jeffrey P. Walker</name>
<name sortKey="Walker, Jeffrey P" sort="Walker, Jeffrey P" uniqKey="Walker J" first="Jeffrey P." last="Walker">Jeffrey P. Walker</name>
</country>
<country name="France">
<region name="Occitanie (région administrative)">
<name sortKey="Albergel, Clement" sort="Albergel, Clement" uniqKey="Albergel C" first="Clément" last="Albergel">Clément Albergel</name>
</region>
<name sortKey="Calvet, Jean Hristophe" sort="Calvet, Jean Hristophe" uniqKey="Calvet J" first="Jean-Christophe" last="Calvet">Jean-Christophe Calvet</name>
<name sortKey="Mahfouf, Jean Rancois" sort="Mahfouf, Jean Rancois" uniqKey="Mahfouf J" first="Jean-François" last="Mahfouf">Jean-François Mahfouf</name>
</country>
</tree>
</affiliations>
</record>

Pour manipuler ce document sous Unix (Dilib)

EXPLOR_STEP=$WICRI_ROOT/Wicri/Asie/explor/AustralieFrV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 007295 | SxmlIndent | more

Ou

HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 007295 | SxmlIndent | more

Pour mettre un lien sur cette page dans le réseau Wicri

{{Explor lien
   |wiki=    Wicri/Asie
   |area=    AustralieFrV1
   |flux=    Main
   |étape=   Exploration
   |type=    RBID
   |clé=     ISTEX:A8F2F0CCE5DD44B07D7AD242B2E573E83D1B6972
   |texte=   Evaluation of the observation operator Jacobian for leaf area index data assimilation with an extended Kalman filter
}}

Wicri

This area was generated with Dilib version V0.6.33.
Data generation: Tue Dec 5 10:43:12 2017. Site generation: Tue Mar 5 14:07:20 2024