Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors

The transient evolution of prediction errors in the short to intermediate time regime is considered under the combined effect of initial condition and model errors. Some generic features are brought out and connected with intrinsic properties. Under the assumption of small uncorrelated initial error...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of the atmospheric sciences 2009-03, Vol.66 (3), p.766-778
Hauptverfasser: NICOLIS, C, PERDIGAO, Rui A. P, VANNITSEM, S
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 778
container_issue 3
container_start_page 766
container_title Journal of the atmospheric sciences
container_volume 66
creator NICOLIS, C
PERDIGAO, Rui A. P
VANNITSEM, S
description The transient evolution of prediction errors in the short to intermediate time regime is considered under the combined effect of initial condition and model errors. Some generic features are brought out and connected with intrinsic properties. Under the assumption of small uncorrelated initial errors and of small parameter errors, the conditions of existence of a time at which the mean quadratic error reaches a minimum and of a crossover time at which the contribution of initial condition errors matches that of model errors are determined. The results are illustrated and tested on representative low-order models of atmospheric dynamics exhibiting bistability, saddle-point behavior, and chaotic behavior.
doi_str_mv 10.1175/2008jas2781.1
format Article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_34466005</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>20668403</sourcerecordid><originalsourceid>FETCH-LOGICAL-c489t-f4d705432ef4b8726ccf943a5f9d5ce10ae7c4650fa4b156cdd2b5d05fc965d13</originalsourceid><addsrcrecordid>eNqFkc1rGzEQxUVJoG7SY-9LQnPbZDT6WO0xOG4-cEih7bEssj6ozFpKpfXB_313Y5NDoGQuc5jfe8PjEfKFwiWljbhCALXWBRtFL-kHMqMCoQYu2yMyA0CseYvqI_lUyhrGwYbOyO-bXdSbYEqVfPU9OxvMEFKsFjmnXKpttC5Xwx9XzdNmFaKz1cJ7Z4YJv49hCLofT9GGF5WOtnpM1vUH_Sk59rov7vNhn5Bf3xY_53f18un2fn69rA1X7VB7bhsQnKHzfKUalMb4ljMtfGuFcRS0awyXArzmKyqksRZXwoLwppXCUnZCLva-zzn93boydJtQjOt7HV3alo5xLiWAeBdEkFJxYCN4_gZcp22OY4gOFUKrGL7Ynf2XYlJQFKhGqN5DJqdSsvPdcw4bnXcdhW4qrpuKe7j-MRXXTWG-Hkx1Mbr3WUcTyqsIKRt_c8X-ARDvlms</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>236512528</pqid></control><display><type>article</type><title>Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors</title><source>American Meteorological Society</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Alma/SFX Local Collection</source><creator>NICOLIS, C ; PERDIGAO, Rui A. P ; VANNITSEM, S</creator><creatorcontrib>NICOLIS, C ; PERDIGAO, Rui A. P ; VANNITSEM, S</creatorcontrib><description>The transient evolution of prediction errors in the short to intermediate time regime is considered under the combined effect of initial condition and model errors. Some generic features are brought out and connected with intrinsic properties. Under the assumption of small uncorrelated initial errors and of small parameter errors, the conditions of existence of a time at which the mean quadratic error reaches a minimum and of a crossover time at which the contribution of initial condition errors matches that of model errors are determined. The results are illustrated and tested on representative low-order models of atmospheric dynamics exhibiting bistability, saddle-point behavior, and chaotic behavior.</description><identifier>ISSN: 0022-4928</identifier><identifier>EISSN: 1520-0469</identifier><identifier>DOI: 10.1175/2008jas2781.1</identifier><identifier>CODEN: JAHSAK</identifier><language>eng</language><publisher>Boston, MA: American Meteorological Society</publisher><subject>Atmospheric dynamics ; Atmospheric models ; Data assimilation ; Dynamics ; Earth, ocean, space ; Errors ; Exact sciences and technology ; External geophysics ; Meteorology ; Modelling ; Physics of the high neutral atmosphere ; Saddle points ; Weather forecasting</subject><ispartof>Journal of the atmospheric sciences, 2009-03, Vol.66 (3), p.766-778</ispartof><rights>2009 INIST-CNRS</rights><rights>Copyright American Meteorological Society Mar 2009</rights><rights>Copyright American Meteorological Society 2009</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c489t-f4d705432ef4b8726ccf943a5f9d5ce10ae7c4650fa4b156cdd2b5d05fc965d13</citedby><cites>FETCH-LOGICAL-c489t-f4d705432ef4b8726ccf943a5f9d5ce10ae7c4650fa4b156cdd2b5d05fc965d13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,3681,27924,27925</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=21332048$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>NICOLIS, C</creatorcontrib><creatorcontrib>PERDIGAO, Rui A. P</creatorcontrib><creatorcontrib>VANNITSEM, S</creatorcontrib><title>Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors</title><title>Journal of the atmospheric sciences</title><description>The transient evolution of prediction errors in the short to intermediate time regime is considered under the combined effect of initial condition and model errors. Some generic features are brought out and connected with intrinsic properties. Under the assumption of small uncorrelated initial errors and of small parameter errors, the conditions of existence of a time at which the mean quadratic error reaches a minimum and of a crossover time at which the contribution of initial condition errors matches that of model errors are determined. The results are illustrated and tested on representative low-order models of atmospheric dynamics exhibiting bistability, saddle-point behavior, and chaotic behavior.</description><subject>Atmospheric dynamics</subject><subject>Atmospheric models</subject><subject>Data assimilation</subject><subject>Dynamics</subject><subject>Earth, ocean, space</subject><subject>Errors</subject><subject>Exact sciences and technology</subject><subject>External geophysics</subject><subject>Meteorology</subject><subject>Modelling</subject><subject>Physics of the high neutral atmosphere</subject><subject>Saddle points</subject><subject>Weather forecasting</subject><issn>0022-4928</issn><issn>1520-0469</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GNUQQ</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNqFkc1rGzEQxUVJoG7SY-9LQnPbZDT6WO0xOG4-cEih7bEssj6ozFpKpfXB_313Y5NDoGQuc5jfe8PjEfKFwiWljbhCALXWBRtFL-kHMqMCoQYu2yMyA0CseYvqI_lUyhrGwYbOyO-bXdSbYEqVfPU9OxvMEFKsFjmnXKpttC5Xwx9XzdNmFaKz1cJ7Z4YJv49hCLofT9GGF5WOtnpM1vUH_Sk59rov7vNhn5Bf3xY_53f18un2fn69rA1X7VB7bhsQnKHzfKUalMb4ljMtfGuFcRS0awyXArzmKyqksRZXwoLwppXCUnZCLva-zzn93boydJtQjOt7HV3alo5xLiWAeBdEkFJxYCN4_gZcp22OY4gOFUKrGL7Ynf2XYlJQFKhGqN5DJqdSsvPdcw4bnXcdhW4qrpuKe7j-MRXXTWG-Hkx1Mbr3WUcTyqsIKRt_c8X-ARDvlms</recordid><startdate>20090301</startdate><enddate>20090301</enddate><creator>NICOLIS, C</creator><creator>PERDIGAO, Rui A. P</creator><creator>VANNITSEM, S</creator><general>American Meteorological Society</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7TG</scope><scope>7TN</scope><scope>7UA</scope><scope>7XB</scope><scope>88F</scope><scope>88I</scope><scope>8AF</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>L.G</scope><scope>L7M</scope><scope>M1Q</scope><scope>M2O</scope><scope>M2P</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PYCSY</scope><scope>Q9U</scope><scope>R05</scope><scope>S0X</scope></search><sort><creationdate>20090301</creationdate><title>Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors</title><author>NICOLIS, C ; PERDIGAO, Rui A. P ; VANNITSEM, S</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c489t-f4d705432ef4b8726ccf943a5f9d5ce10ae7c4650fa4b156cdd2b5d05fc965d13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Atmospheric dynamics</topic><topic>Atmospheric models</topic><topic>Data assimilation</topic><topic>Dynamics</topic><topic>Earth, ocean, space</topic><topic>Errors</topic><topic>Exact sciences and technology</topic><topic>External geophysics</topic><topic>Meteorology</topic><topic>Modelling</topic><topic>Physics of the high neutral atmosphere</topic><topic>Saddle points</topic><topic>Weather forecasting</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>NICOLIS, C</creatorcontrib><creatorcontrib>PERDIGAO, Rui A. P</creatorcontrib><creatorcontrib>VANNITSEM, S</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Meteorological &amp; Geoastrophysical Abstracts</collection><collection>Oceanic Abstracts</collection><collection>Water Resources Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Military Database (Alumni Edition)</collection><collection>Science Database (Alumni Edition)</collection><collection>STEM Database</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies &amp; Aerospace Collection</collection><collection>Agricultural &amp; Environmental Science Collection</collection><collection>ProQuest Central Essentials</collection><collection>eLibrary</collection><collection>ProQuest Central</collection><collection>Technology Collection (ProQuest)</collection><collection>Natural Science Collection (ProQuest)</collection><collection>Earth, Atmospheric &amp; Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Aerospace Database</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy &amp; Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>Meteorological &amp; Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science &amp; Fisheries Abstracts (ASFA) Professional</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Military Database</collection><collection>Research Library</collection><collection>Science Database (ProQuest)</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies &amp; Aerospace Database</collection><collection>ProQuest Advanced Technologies &amp; Aerospace Collection</collection><collection>Environmental Science Database</collection><collection>Earth, Atmospheric &amp; Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Environmental Science Collection</collection><collection>ProQuest Central Basic</collection><collection>University of Michigan</collection><collection>SIRS Editorial</collection><jtitle>Journal of the atmospheric sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>NICOLIS, C</au><au>PERDIGAO, Rui A. P</au><au>VANNITSEM, S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors</atitle><jtitle>Journal of the atmospheric sciences</jtitle><date>2009-03-01</date><risdate>2009</risdate><volume>66</volume><issue>3</issue><spage>766</spage><epage>778</epage><pages>766-778</pages><issn>0022-4928</issn><eissn>1520-0469</eissn><coden>JAHSAK</coden><abstract>The transient evolution of prediction errors in the short to intermediate time regime is considered under the combined effect of initial condition and model errors. Some generic features are brought out and connected with intrinsic properties. Under the assumption of small uncorrelated initial errors and of small parameter errors, the conditions of existence of a time at which the mean quadratic error reaches a minimum and of a crossover time at which the contribution of initial condition errors matches that of model errors are determined. The results are illustrated and tested on representative low-order models of atmospheric dynamics exhibiting bistability, saddle-point behavior, and chaotic behavior.</abstract><cop>Boston, MA</cop><pub>American Meteorological Society</pub><doi>10.1175/2008jas2781.1</doi><tpages>13</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 0022-4928
ispartof Journal of the atmospheric sciences, 2009-03, Vol.66 (3), p.766-778
issn 0022-4928
1520-0469
language eng
recordid cdi_proquest_miscellaneous_34466005
source American Meteorological Society; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
subjects Atmospheric dynamics
Atmospheric models
Data assimilation
Dynamics
Earth, ocean, space
Errors
Exact sciences and technology
External geophysics
Meteorology
Modelling
Physics of the high neutral atmosphere
Saddle points
Weather forecasting
title Dynamics of Prediction Errors under the Combined Effect of Initial Condition and Model Errors
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-06T14%3A48%3A22IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Dynamics%20of%20Prediction%20Errors%20under%20the%20Combined%20Effect%20of%20Initial%20Condition%20and%20Model%20Errors&rft.jtitle=Journal%20of%20the%20atmospheric%20sciences&rft.au=NICOLIS,%20C&rft.date=2009-03-01&rft.volume=66&rft.issue=3&rft.spage=766&rft.epage=778&rft.pages=766-778&rft.issn=0022-4928&rft.eissn=1520-0469&rft.coden=JAHSAK&rft_id=info:doi/10.1175/2008jas2781.1&rft_dat=%3Cproquest_cross%3E20668403%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=236512528&rft_id=info:pmid/&rfr_iscdi=true