On the application of copula theory for determination of probabilistic characteristics of springflood
Considered is the possibility of using copula theory for creating joint probability distributions of springflood peak discharges and flow volumes taking account of the relations between discharges and flow volumes. For approximation of marginal distributions, Gumbel distribution was used for peak di...
Gespeichert in:
| Veröffentlicht in: | Russian meteorology and hydrology 2013-04, Vol.38 (4), p.263-271 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 271 |
|---|---|
| container_issue | 4 |
| container_start_page | 263 |
| container_title | Russian meteorology and hydrology |
| container_volume | 38 |
| creator | Kuchment, L. S. Demidov, V. N. |
| description | Considered is the possibility of using copula theory for creating joint probability distributions of springflood peak discharges and flow volumes taking account of the relations between discharges and flow volumes. For approximation of marginal distributions, Gumbel distribution was used for peak discharges, and two-parameter gamma distribution, for flow volumes. Joint two-dimensional distribution was built as a marginal distribution function which was set as one of the three one-parameter Archimedean copulas using different ways of determining their parameters. The best results were obtained for Gumbel-Hougaard copula using the method of maximum likelihood to determine its parameters. Major flood risk estimates determined from one- and two-dimensional probability distributions of their characteristics were compared with each other. Demonstrated are the benefits of using two-dimensional probability distributions of flood characteristics as compared with one-dimensional distributions for probabilistic estimation of floods. The data on springflood peak discharges and flow volumes in the Belaya and Vyatka rivers were used for this study. |
| doi_str_mv | 10.3103/S1068373913040080 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_1365634042</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2989766871</sourcerecordid><originalsourceid>FETCH-LOGICAL-c316t-bc278696e1b278e367e634878ac042d39457331bb0def2ca5e6f46d9fcf406cf3</originalsourceid><addsrcrecordid>eNp1kEFLxDAQhYMouK7-AG8Bz9VJJ03boyzqCgt7UM8lTRM3S7epSXvYf29qRQTxNDO8771MhpBrBrfIAO9eGIgCcywZAgco4IQsWIk8KaAUp7GPcjLp5-QihD1AJlKeL4jednTYaSr7vrVKDtZ11BmqXD-2clKcP1LjPG30oP3Bdj9I710ta9vaMFhF1U56qSLyNYYJCL233btpnWsuyZmRbdBX33VJ3h4fXlfrZLN9el7dbxKFTAxJrdK8EKXQrI6NRpFrgbzIC6mApw2WPMsRWV1Do02qZKaF4aIpjTIchDK4JDdzblzuY9RhqPZu9F18smIoshgWcyLFZkp5F4LXpoqbHqQ_Vgyq6ZrVn2tGTzp75l9p_yv5X9MnCDh35w</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1365634042</pqid></control><display><type>article</type><title>On the application of copula theory for determination of probabilistic characteristics of springflood</title><source>Springer Online Journals</source><creator>Kuchment, L. S. ; Demidov, V. N.</creator><creatorcontrib>Kuchment, L. S. ; Demidov, V. N.</creatorcontrib><description>Considered is the possibility of using copula theory for creating joint probability distributions of springflood peak discharges and flow volumes taking account of the relations between discharges and flow volumes. For approximation of marginal distributions, Gumbel distribution was used for peak discharges, and two-parameter gamma distribution, for flow volumes. Joint two-dimensional distribution was built as a marginal distribution function which was set as one of the three one-parameter Archimedean copulas using different ways of determining their parameters. The best results were obtained for Gumbel-Hougaard copula using the method of maximum likelihood to determine its parameters. Major flood risk estimates determined from one- and two-dimensional probability distributions of their characteristics were compared with each other. Demonstrated are the benefits of using two-dimensional probability distributions of flood characteristics as compared with one-dimensional distributions for probabilistic estimation of floods. The data on springflood peak discharges and flow volumes in the Belaya and Vyatka rivers were used for this study.</description><identifier>ISSN: 1068-3739</identifier><identifier>EISSN: 1934-8096</identifier><identifier>DOI: 10.3103/S1068373913040080</identifier><language>eng</language><publisher>Heidelberg: Allerton Press, Inc</publisher><subject>Atmospheric Sciences ; Earth and Environmental Science ; Earth Sciences ; Environmental risk ; Floods ; Meteorology ; Parameter estimation ; Probability</subject><ispartof>Russian meteorology and hydrology, 2013-04, Vol.38 (4), p.263-271</ispartof><rights>Allerton Press, Inc. 2013</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c316t-bc278696e1b278e367e634878ac042d39457331bb0def2ca5e6f46d9fcf406cf3</citedby><cites>FETCH-LOGICAL-c316t-bc278696e1b278e367e634878ac042d39457331bb0def2ca5e6f46d9fcf406cf3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.3103/S1068373913040080$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.3103/S1068373913040080$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kuchment, L. S.</creatorcontrib><creatorcontrib>Demidov, V. N.</creatorcontrib><title>On the application of copula theory for determination of probabilistic characteristics of springflood</title><title>Russian meteorology and hydrology</title><addtitle>Russ. Meteorol. Hydrol</addtitle><description>Considered is the possibility of using copula theory for creating joint probability distributions of springflood peak discharges and flow volumes taking account of the relations between discharges and flow volumes. For approximation of marginal distributions, Gumbel distribution was used for peak discharges, and two-parameter gamma distribution, for flow volumes. Joint two-dimensional distribution was built as a marginal distribution function which was set as one of the three one-parameter Archimedean copulas using different ways of determining their parameters. The best results were obtained for Gumbel-Hougaard copula using the method of maximum likelihood to determine its parameters. Major flood risk estimates determined from one- and two-dimensional probability distributions of their characteristics were compared with each other. Demonstrated are the benefits of using two-dimensional probability distributions of flood characteristics as compared with one-dimensional distributions for probabilistic estimation of floods. The data on springflood peak discharges and flow volumes in the Belaya and Vyatka rivers were used for this study.</description><subject>Atmospheric Sciences</subject><subject>Earth and Environmental Science</subject><subject>Earth Sciences</subject><subject>Environmental risk</subject><subject>Floods</subject><subject>Meteorology</subject><subject>Parameter estimation</subject><subject>Probability</subject><issn>1068-3739</issn><issn>1934-8096</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp1kEFLxDAQhYMouK7-AG8Bz9VJJ03boyzqCgt7UM8lTRM3S7epSXvYf29qRQTxNDO8771MhpBrBrfIAO9eGIgCcywZAgco4IQsWIk8KaAUp7GPcjLp5-QihD1AJlKeL4jednTYaSr7vrVKDtZ11BmqXD-2clKcP1LjPG30oP3Bdj9I710ta9vaMFhF1U56qSLyNYYJCL233btpnWsuyZmRbdBX33VJ3h4fXlfrZLN9el7dbxKFTAxJrdK8EKXQrI6NRpFrgbzIC6mApw2WPMsRWV1Do02qZKaF4aIpjTIchDK4JDdzblzuY9RhqPZu9F18smIoshgWcyLFZkp5F4LXpoqbHqQ_Vgyq6ZrVn2tGTzp75l9p_yv5X9MnCDh35w</recordid><startdate>20130401</startdate><enddate>20130401</enddate><creator>Kuchment, L. S.</creator><creator>Demidov, V. N.</creator><general>Allerton Press, Inc</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7QH</scope><scope>7TG</scope><scope>7UA</scope><scope>7XB</scope><scope>88F</scope><scope>88I</scope><scope>8FK</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ATCPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>C1K</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>GNUQQ</scope><scope>H96</scope><scope>HCIFZ</scope><scope>KL.</scope><scope>L.G</scope><scope>M1Q</scope><scope>M2P</scope><scope>PATMY</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PYCSY</scope><scope>Q9U</scope></search><sort><creationdate>20130401</creationdate><title>On the application of copula theory for determination of probabilistic characteristics of springflood</title><author>Kuchment, L. S. ; Demidov, V. N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-bc278696e1b278e367e634878ac042d39457331bb0def2ca5e6f46d9fcf406cf3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Atmospheric Sciences</topic><topic>Earth and Environmental Science</topic><topic>Earth Sciences</topic><topic>Environmental risk</topic><topic>Floods</topic><topic>Meteorology</topic><topic>Parameter estimation</topic><topic>Probability</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kuchment, L. S.</creatorcontrib><creatorcontrib>Demidov, V. N.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Aqualine</collection><collection>Meteorological & Geoastrophysical 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>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Agriculture & Environmental Science Database</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>ProQuest Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>Environmental Sciences and Pollution Management</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>ProQuest Central Student</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>Meteorological & Geoastrophysical Abstracts - Academic</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>Military Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest Science Journals</collection><collection>Environmental Science Database</collection><collection>Earth, Atmospheric & 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><jtitle>Russian meteorology and hydrology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kuchment, L. S.</au><au>Demidov, V. N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the application of copula theory for determination of probabilistic characteristics of springflood</atitle><jtitle>Russian meteorology and hydrology</jtitle><stitle>Russ. Meteorol. Hydrol</stitle><date>2013-04-01</date><risdate>2013</risdate><volume>38</volume><issue>4</issue><spage>263</spage><epage>271</epage><pages>263-271</pages><issn>1068-3739</issn><eissn>1934-8096</eissn><abstract>Considered is the possibility of using copula theory for creating joint probability distributions of springflood peak discharges and flow volumes taking account of the relations between discharges and flow volumes. For approximation of marginal distributions, Gumbel distribution was used for peak discharges, and two-parameter gamma distribution, for flow volumes. Joint two-dimensional distribution was built as a marginal distribution function which was set as one of the three one-parameter Archimedean copulas using different ways of determining their parameters. The best results were obtained for Gumbel-Hougaard copula using the method of maximum likelihood to determine its parameters. Major flood risk estimates determined from one- and two-dimensional probability distributions of their characteristics were compared with each other. Demonstrated are the benefits of using two-dimensional probability distributions of flood characteristics as compared with one-dimensional distributions for probabilistic estimation of floods. The data on springflood peak discharges and flow volumes in the Belaya and Vyatka rivers were used for this study.</abstract><cop>Heidelberg</cop><pub>Allerton Press, Inc</pub><doi>10.3103/S1068373913040080</doi><tpages>9</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1068-3739 |
| ispartof | Russian meteorology and hydrology, 2013-04, Vol.38 (4), p.263-271 |
| issn | 1068-3739 1934-8096 |
| language | eng |
| recordid | cdi_proquest_journals_1365634042 |
| source | Springer Online Journals |
| subjects | Atmospheric Sciences Earth and Environmental Science Earth Sciences Environmental risk Floods Meteorology Parameter estimation Probability |
| title | On the application of copula theory for determination of probabilistic characteristics of springflood |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-07T20%3A15%3A40IST&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=On%20the%20application%20of%20copula%20theory%20for%20determination%20of%20probabilistic%20characteristics%20of%20springflood&rft.jtitle=Russian%20meteorology%20and%20hydrology&rft.au=Kuchment,%20L.%20S.&rft.date=2013-04-01&rft.volume=38&rft.issue=4&rft.spage=263&rft.epage=271&rft.pages=263-271&rft.issn=1068-3739&rft.eissn=1934-8096&rft_id=info:doi/10.3103/S1068373913040080&rft_dat=%3Cproquest_cross%3E2989766871%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=1365634042&rft_id=info:pmid/&rfr_iscdi=true |