Analysis of steady-state populations with the gamma abundance model: application to Tribolium
We develop a stochastic model for the abundance of adult populations of the four beetle Tribolium. The model is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary diff...
Gespeichert in:
| Veröffentlicht in: | Ecology (Durham) 1988-08, Vol.69 (4), p.1200-1213 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 1213 |
|---|---|
| container_issue | 4 |
| container_start_page | 1200 |
| container_title | Ecology (Durham) |
| container_volume | 69 |
| creator | Dennis, Brian Costantino, Robert F. |
| description | We develop a stochastic model for the abundance of adult populations of the four beetle Tribolium. The model is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; by contrast, the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. We develop or clarify various practical aspects of making statistical inferences for the resulting gamma abundance model, including estimation of parameters, testing goodness of fit, obtaining confidence intervals for functions of parameters, and testing to compare two gamma distributions. Analyses of 11 data sets on Tribolium suggest that the gamma model deserves more widespread consideration as an equilibrium abundance model for other species. |
| doi_str_mv | 10.2307/1941275 |
| format | Article |
| fullrecord | <record><control><sourceid>jstor_proqu</sourceid><recordid>TN_cdi_proquest_miscellaneous_15013977</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><jstor_id>1941275</jstor_id><sourcerecordid>1941275</sourcerecordid><originalsourceid>FETCH-LOGICAL-c4030-cbefc209118c4579aee0028eb840e5456d9fa0237a707edb69891de61976373c3</originalsourceid><addsrcrecordid>eNp90cFrFDEUBvBBFFyrePcUUOxp9CWZTBJvZWlVKPTQ9uBBhjeZTJslMxmTDGX_e1N3URA0lxD48b3Hl6p6TeED4yA_Ut1QJsWTakM117WmEp5WGwDKat0K9bx6kdIOyqGN2lTfz2b0--QSCSNJ2eKwr1PGbMkSltVjdmFO5MHle5LvLbnDaUKC_ToPOBtLpjBY_4ngsnhnfmGSA7mJrg_erdPL6tmIPtlXx_ukur04v9l-qS-vPn_dnl3WpgEOtentaBhoSpVphNRoLQBTtlcNWNGIdtAjAuMSJUg79K1Wmg62pVq2XHLDT6r3h9wlhh-rTbmbXDLWe5xtWFNHBVCupSzw7V9wF9ZYKiiG6bZhAgQt6vSgTAwpRTt2S3QTxn1HoXssuTuWXOS7Yx4mg36MpRWXfnPJGNOcF8YP7MF5u_9XWne-_Ua1Uu3jE-BP-C7lEP-zw5sDGzF0eBfL_NtrpYQuH8x_AlV7nEs</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1296425051</pqid></control><display><type>article</type><title>Analysis of steady-state populations with the gamma abundance model: application to Tribolium</title><source>Periodicals Index Online</source><source>Jstor Complete Legacy</source><creator>Dennis, Brian ; Costantino, Robert F.</creator><creatorcontrib>Dennis, Brian ; Costantino, Robert F.</creatorcontrib><description>We develop a stochastic model for the abundance of adult populations of the four beetle Tribolium. The model is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; by contrast, the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. We develop or clarify various practical aspects of making statistical inferences for the resulting gamma abundance model, including estimation of parameters, testing goodness of fit, obtaining confidence intervals for functions of parameters, and testing to compare two gamma distributions. Analyses of 11 data sets on Tribolium suggest that the gamma model deserves more widespread consideration as an equilibrium abundance model for other species.</description><identifier>ISSN: 0012-9658</identifier><identifier>EISSN: 1939-9170</identifier><identifier>DOI: 10.2307/1941275</identifier><identifier>CODEN: ECGYAQ</identifier><language>eng</language><publisher>Washington, DC: The Ecological Society of America</publisher><subject>Animal and plant ecology ; Animal, plant and microbial ecology ; Animals ; Autoecology ; Beetles ; Biological and medical sciences ; Datasets ; Demecology ; Determinism ; DINAMICA DE LA POBLACION ; DISTRIBUCION DE LA POBLACION ; DISTRIBUTION DES POPULATIONS ; DYNAMIQUE DES POPULATIONS ; Ecological balance ; Ecological modeling ; Fundamental and applied biological sciences. Psychology ; Logistics ; METHODE ; METHODS ; METODOS ; MODELE ; MODELOS ; POPULATION DISTRIBUTION ; Population distributions ; POPULATION DYNAMICS ; Population ecology ; Population size ; Protozoa. Invertebrata ; stochastic differential equations ; Stochastic models ; Tenebrionidae ; TRIBOLIUM</subject><ispartof>Ecology (Durham), 1988-08, Vol.69 (4), p.1200-1213</ispartof><rights>Copyright 1988 The Ecological Society of America</rights><rights>1988 by the Ecological Society of America</rights><rights>1989 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4030-cbefc209118c4579aee0028eb840e5456d9fa0237a707edb69891de61976373c3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/1941275$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/1941275$$EHTML$$P50$$Gjstor$$H</linktohtml><link.rule.ids>314,776,780,799,27848,27903,27904,57995,58228</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=7222933$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Dennis, Brian</creatorcontrib><creatorcontrib>Costantino, Robert F.</creatorcontrib><title>Analysis of steady-state populations with the gamma abundance model: application to Tribolium</title><title>Ecology (Durham)</title><description>We develop a stochastic model for the abundance of adult populations of the four beetle Tribolium. The model is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; by contrast, the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. We develop or clarify various practical aspects of making statistical inferences for the resulting gamma abundance model, including estimation of parameters, testing goodness of fit, obtaining confidence intervals for functions of parameters, and testing to compare two gamma distributions. Analyses of 11 data sets on Tribolium suggest that the gamma model deserves more widespread consideration as an equilibrium abundance model for other species.</description><subject>Animal and plant ecology</subject><subject>Animal, plant and microbial ecology</subject><subject>Animals</subject><subject>Autoecology</subject><subject>Beetles</subject><subject>Biological and medical sciences</subject><subject>Datasets</subject><subject>Demecology</subject><subject>Determinism</subject><subject>DINAMICA DE LA POBLACION</subject><subject>DISTRIBUCION DE LA POBLACION</subject><subject>DISTRIBUTION DES POPULATIONS</subject><subject>DYNAMIQUE DES POPULATIONS</subject><subject>Ecological balance</subject><subject>Ecological modeling</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Logistics</subject><subject>METHODE</subject><subject>METHODS</subject><subject>METODOS</subject><subject>MODELE</subject><subject>MODELOS</subject><subject>POPULATION DISTRIBUTION</subject><subject>Population distributions</subject><subject>POPULATION DYNAMICS</subject><subject>Population ecology</subject><subject>Population size</subject><subject>Protozoa. Invertebrata</subject><subject>stochastic differential equations</subject><subject>Stochastic models</subject><subject>Tenebrionidae</subject><subject>TRIBOLIUM</subject><issn>0012-9658</issn><issn>1939-9170</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1988</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNp90cFrFDEUBvBBFFyrePcUUOxp9CWZTBJvZWlVKPTQ9uBBhjeZTJslMxmTDGX_e1N3URA0lxD48b3Hl6p6TeED4yA_Ut1QJsWTakM117WmEp5WGwDKat0K9bx6kdIOyqGN2lTfz2b0--QSCSNJ2eKwr1PGbMkSltVjdmFO5MHle5LvLbnDaUKC_ToPOBtLpjBY_4ngsnhnfmGSA7mJrg_erdPL6tmIPtlXx_ukur04v9l-qS-vPn_dnl3WpgEOtentaBhoSpVphNRoLQBTtlcNWNGIdtAjAuMSJUg79K1Wmg62pVq2XHLDT6r3h9wlhh-rTbmbXDLWe5xtWFNHBVCupSzw7V9wF9ZYKiiG6bZhAgQt6vSgTAwpRTt2S3QTxn1HoXssuTuWXOS7Yx4mg36MpRWXfnPJGNOcF8YP7MF5u_9XWne-_Ua1Uu3jE-BP-C7lEP-zw5sDGzF0eBfL_NtrpYQuH8x_AlV7nEs</recordid><startdate>198808</startdate><enddate>198808</enddate><creator>Dennis, Brian</creator><creator>Costantino, Robert F.</creator><general>The Ecological Society of America</general><general>Ecological Society of America</general><general>Brooklyn Botanic Garden, etc</general><scope>FBQ</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>FIXVA</scope><scope>FKUCP</scope><scope>IOIBA</scope><scope>K30</scope><scope>PAAUG</scope><scope>PAWHS</scope><scope>PAWZZ</scope><scope>PAXOH</scope><scope>PBHAV</scope><scope>PBQSW</scope><scope>PBYQZ</scope><scope>PCIWU</scope><scope>PCMID</scope><scope>PCZJX</scope><scope>PDGRG</scope><scope>PDWWI</scope><scope>PETMR</scope><scope>PFVGT</scope><scope>PGXDX</scope><scope>PIHIL</scope><scope>PISVA</scope><scope>PJCTQ</scope><scope>PJTMS</scope><scope>PLCHJ</scope><scope>PMHAD</scope><scope>PNQDJ</scope><scope>POUND</scope><scope>PPLAD</scope><scope>PQAPC</scope><scope>PQCAN</scope><scope>PQCMW</scope><scope>PQEME</scope><scope>PQHKH</scope><scope>PQMID</scope><scope>PQNCT</scope><scope>PQNET</scope><scope>PQSCT</scope><scope>PQSET</scope><scope>PSVJG</scope><scope>PVMQY</scope><scope>PZGFC</scope><scope>7SN</scope><scope>7SS</scope><scope>C1K</scope></search><sort><creationdate>198808</creationdate><title>Analysis of steady-state populations with the gamma abundance model: application to Tribolium</title><author>Dennis, Brian ; Costantino, Robert F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4030-cbefc209118c4579aee0028eb840e5456d9fa0237a707edb69891de61976373c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1988</creationdate><topic>Animal and plant ecology</topic><topic>Animal, plant and microbial ecology</topic><topic>Animals</topic><topic>Autoecology</topic><topic>Beetles</topic><topic>Biological and medical sciences</topic><topic>Datasets</topic><topic>Demecology</topic><topic>Determinism</topic><topic>DINAMICA DE LA POBLACION</topic><topic>DISTRIBUCION DE LA POBLACION</topic><topic>DISTRIBUTION DES POPULATIONS</topic><topic>DYNAMIQUE DES POPULATIONS</topic><topic>Ecological balance</topic><topic>Ecological modeling</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Logistics</topic><topic>METHODE</topic><topic>METHODS</topic><topic>METODOS</topic><topic>MODELE</topic><topic>MODELOS</topic><topic>POPULATION DISTRIBUTION</topic><topic>Population distributions</topic><topic>POPULATION DYNAMICS</topic><topic>Population ecology</topic><topic>Population size</topic><topic>Protozoa. Invertebrata</topic><topic>stochastic differential equations</topic><topic>Stochastic models</topic><topic>Tenebrionidae</topic><topic>TRIBOLIUM</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dennis, Brian</creatorcontrib><creatorcontrib>Costantino, Robert F.</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Periodicals Index Online Segment 03</collection><collection>Periodicals Index Online Segment 04</collection><collection>Periodicals Index Online Segment 29</collection><collection>Periodicals Index Online</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - West</collection><collection>Primary Sources Access (Plan D) - International</collection><collection>Primary Sources Access & Build (Plan A) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Midwest</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Northeast</collection><collection>Primary Sources Access (Plan D) - Southeast</collection><collection>Primary Sources Access (Plan D) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Southeast</collection><collection>Primary Sources Access (Plan D) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - UK / I</collection><collection>Primary Sources Access (Plan D) - Canada</collection><collection>Primary Sources Access (Plan D) - EMEALA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - North Central</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - International</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - International</collection><collection>Primary Sources Access (Plan D) - West</collection><collection>Periodicals Index Online Segments 1-50</collection><collection>Primary Sources Access (Plan D) - APAC</collection><collection>Primary Sources Access (Plan D) - Midwest</collection><collection>Primary Sources Access (Plan D) - MEA</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - Canada</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - EMEALA</collection><collection>Primary Sources Access & Build (Plan A) - APAC</collection><collection>Primary Sources Access & Build (Plan A) - Canada</collection><collection>Primary Sources Access & Build (Plan A) - West</collection><collection>Primary Sources Access & Build (Plan A) - EMEALA</collection><collection>Primary Sources Access (Plan D) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - Midwest</collection><collection>Primary Sources Access & Build (Plan A) - North Central</collection><collection>Primary Sources Access & Build (Plan A) - Northeast</collection><collection>Primary Sources Access & Build (Plan A) - South Central</collection><collection>Primary Sources Access & Build (Plan A) - Southeast</collection><collection>Primary Sources Access (Plan D) - UK / I</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - APAC</collection><collection>Primary Sources Access—Foundation Edition (Plan E) - MEA</collection><collection>Ecology Abstracts</collection><collection>Entomology Abstracts (Full archive)</collection><collection>Environmental Sciences and Pollution Management</collection><jtitle>Ecology (Durham)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dennis, Brian</au><au>Costantino, Robert F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of steady-state populations with the gamma abundance model: application to Tribolium</atitle><jtitle>Ecology (Durham)</jtitle><date>1988-08</date><risdate>1988</risdate><volume>69</volume><issue>4</issue><spage>1200</spage><epage>1213</epage><pages>1200-1213</pages><issn>0012-9658</issn><eissn>1939-9170</eissn><coden>ECGYAQ</coden><abstract>We develop a stochastic model for the abundance of adult populations of the four beetle Tribolium. The model is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; by contrast, the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. We develop or clarify various practical aspects of making statistical inferences for the resulting gamma abundance model, including estimation of parameters, testing goodness of fit, obtaining confidence intervals for functions of parameters, and testing to compare two gamma distributions. Analyses of 11 data sets on Tribolium suggest that the gamma model deserves more widespread consideration as an equilibrium abundance model for other species.</abstract><cop>Washington, DC</cop><pub>The Ecological Society of America</pub><doi>10.2307/1941275</doi><tpages>14</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0012-9658 |
| ispartof | Ecology (Durham), 1988-08, Vol.69 (4), p.1200-1213 |
| issn | 0012-9658 1939-9170 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_15013977 |
| source | Periodicals Index Online; Jstor Complete Legacy |
| subjects | Animal and plant ecology Animal, plant and microbial ecology Animals Autoecology Beetles Biological and medical sciences Datasets Demecology Determinism DINAMICA DE LA POBLACION DISTRIBUCION DE LA POBLACION DISTRIBUTION DES POPULATIONS DYNAMIQUE DES POPULATIONS Ecological balance Ecological modeling Fundamental and applied biological sciences. Psychology Logistics METHODE METHODS METODOS MODELE MODELOS POPULATION DISTRIBUTION Population distributions POPULATION DYNAMICS Population ecology Population size Protozoa. Invertebrata stochastic differential equations Stochastic models Tenebrionidae TRIBOLIUM |
| title | Analysis of steady-state populations with the gamma abundance model: application to Tribolium |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-23T23%3A44%3A15IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-jstor_proqu&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Analysis%20of%20steady-state%20populations%20with%20the%20gamma%20abundance%20model:%20application%20to%20Tribolium&rft.jtitle=Ecology%20(Durham)&rft.au=Dennis,%20Brian&rft.date=1988-08&rft.volume=69&rft.issue=4&rft.spage=1200&rft.epage=1213&rft.pages=1200-1213&rft.issn=0012-9658&rft.eissn=1939-9170&rft.coden=ECGYAQ&rft_id=info:doi/10.2307/1941275&rft_dat=%3Cjstor_proqu%3E1941275%3C/jstor_proqu%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1296425051&rft_id=info:pmid/&rft_jstor_id=1941275&rfr_iscdi=true |