Oscillations in Population Numbers: Age-Dependent Cannibalism
(1) Interactions among different age-classes or life stages within single species animal populations are quite common. As an example of this type of interaction, we focus attention on larval cannibalism of eggs in the flour beetle Tribolium. As we do not consider any benefit of cannibalism for larva...
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| Veröffentlicht in: | The Journal of animal ecology 1991-06, Vol.60 (2), p.471-482 |
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| container_title | The Journal of animal ecology |
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| creator | Hastings, Alan Costantino, Robert F. |
| description | (1) Interactions among different age-classes or life stages within single species animal populations are quite common. As an example of this type of interaction, we focus attention on larval cannibalism of eggs in the flour beetle Tribolium. As we do not consider any benefit of cannibalism for larvae, the dynamics of this interaction are the same as those of competition where a later life stage preempts resources used by an earlier life stage. (2) A mathematical model of the egg-larval interaction allows for the evaluation of the impact of the duration of the egg and larval intervals, fecundity, survival and cannibalism rates on the stability of the equilibrium number of larvae. (3) The local stability boundary, which separates the region of parameter space leading only to unstable equilibria and oscillations from that region yielding the possibility of stable equilibria, is dramatically modified by the inclusion of age-dependence in the cannibalism by larvae. In contrast to a model ignoring this age-dependence, the model which includes age-dependence predicts that all flour beetle cultures should display oscillations in larval numbers. (4) Review of over a half-century of Tribolium experiments is consistent with the model's forecast: egg and larval numbers oscillate in all reported data sets. |
| doi_str_mv | 10.2307/5292 |
| format | Article |
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As an example of this type of interaction, we focus attention on larval cannibalism of eggs in the flour beetle Tribolium. As we do not consider any benefit of cannibalism for larvae, the dynamics of this interaction are the same as those of competition where a later life stage preempts resources used by an earlier life stage. (2) A mathematical model of the egg-larval interaction allows for the evaluation of the impact of the duration of the egg and larval intervals, fecundity, survival and cannibalism rates on the stability of the equilibrium number of larvae. (3) The local stability boundary, which separates the region of parameter space leading only to unstable equilibria and oscillations from that region yielding the possibility of stable equilibria, is dramatically modified by the inclusion of age-dependence in the cannibalism by larvae. In contrast to a model ignoring this age-dependence, the model which includes age-dependence predicts that all flour beetle cultures should display oscillations in larval numbers. (4) Review of over a half-century of Tribolium experiments is consistent with the model's forecast: egg and larval numbers oscillate in all reported data sets.</description><identifier>ISSN: 0021-8790</identifier><identifier>EISSN: 1365-2656</identifier><identifier>DOI: 10.2307/5292</identifier><identifier>CODEN: JAECAP</identifier><language>eng</language><publisher>Oxford: Blackwell Scientific Publications</publisher><subject>Animal cannibalism ; Animal ecology ; Animal, plant and microbial ecology ; Beetles ; Biological and medical sciences ; Birth rates ; Coleoptera ; Eggs ; Fundamental and applied biological sciences. Psychology ; Insect larvae ; Larvae ; Modeling ; Population dynamics ; Population ecology ; Tenebrionidae ; Tribolium</subject><ispartof>The Journal of animal ecology, 1991-06, Vol.60 (2), p.471-482</ispartof><rights>Copyright 1991 British Ecological Society</rights><rights>1992 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c397t-9141ba61a9e784e2d00498d0b4c7db517e6444294f261af1767b6d4b9609dc463</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.jstor.org/stable/pdf/5292$$EPDF$$P50$$Gjstor$$H</linktopdf><linktohtml>$$Uhttps://www.jstor.org/stable/5292$$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=5489431$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Hastings, Alan</creatorcontrib><creatorcontrib>Costantino, Robert F.</creatorcontrib><title>Oscillations in Population Numbers: Age-Dependent Cannibalism</title><title>The Journal of animal ecology</title><description>(1) Interactions among different age-classes or life stages within single species animal populations are quite common. As an example of this type of interaction, we focus attention on larval cannibalism of eggs in the flour beetle Tribolium. As we do not consider any benefit of cannibalism for larvae, the dynamics of this interaction are the same as those of competition where a later life stage preempts resources used by an earlier life stage. (2) A mathematical model of the egg-larval interaction allows for the evaluation of the impact of the duration of the egg and larval intervals, fecundity, survival and cannibalism rates on the stability of the equilibrium number of larvae. (3) The local stability boundary, which separates the region of parameter space leading only to unstable equilibria and oscillations from that region yielding the possibility of stable equilibria, is dramatically modified by the inclusion of age-dependence in the cannibalism by larvae. In contrast to a model ignoring this age-dependence, the model which includes age-dependence predicts that all flour beetle cultures should display oscillations in larval numbers. (4) Review of over a half-century of Tribolium experiments is consistent with the model's forecast: egg and larval numbers oscillate in all reported data sets.</description><subject>Animal cannibalism</subject><subject>Animal ecology</subject><subject>Animal, plant and microbial ecology</subject><subject>Beetles</subject><subject>Biological and medical sciences</subject><subject>Birth rates</subject><subject>Coleoptera</subject><subject>Eggs</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Insect larvae</subject><subject>Larvae</subject><subject>Modeling</subject><subject>Population dynamics</subject><subject>Population ecology</subject><subject>Tenebrionidae</subject><subject>Tribolium</subject><issn>0021-8790</issn><issn>1365-2656</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><sourceid>K30</sourceid><recordid>eNpt0EtLxDAUBeAgCo4z_oeK4q56824EFzI-YXBc6LqkaSoZ2rQm7cJ_b0tFQVxdLnwcDgehFYYLQkFecqLIHlpgKnhKBBf7aAFAcJpJBYfoKMYdAEgCdIGut9G4uta9a31MnE9e2m6Y3-R5aAob4lVy827TW9tZX1rfJ2vtvSt07WKzQgeVrqM9_r5L9HZ_97p-TDfbh6f1zSY1VMk-VZjhQguslZUZs6QEYCoroWBGlgXH0grGGFGsIiOqsBSyECUrlABVGiboEp3PuV1oPwYb-7xx0dixt7ftEHMsAHjGJ3j6B-7aIfixW47ptAEljI7qbFYmtDEGW-VdcI0OnzmGfFownxb8ZZ2ORtdV0N64-GM5yxSjeGQnM9vFvg3_R30BzDh28A</recordid><startdate>19910601</startdate><enddate>19910601</enddate><creator>Hastings, Alan</creator><creator>Costantino, Robert F.</creator><general>Blackwell Scientific Publications</general><general>Blackwell</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>HFIND</scope><scope>HZAIM</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>19910601</creationdate><title>Oscillations in Population Numbers: Age-Dependent Cannibalism</title><author>Hastings, Alan ; Costantino, Robert F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c397t-9141ba61a9e784e2d00498d0b4c7db517e6444294f261af1767b6d4b9609dc463</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1991</creationdate><topic>Animal cannibalism</topic><topic>Animal ecology</topic><topic>Animal, plant and microbial ecology</topic><topic>Beetles</topic><topic>Biological and medical sciences</topic><topic>Birth rates</topic><topic>Coleoptera</topic><topic>Eggs</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Insect larvae</topic><topic>Larvae</topic><topic>Modeling</topic><topic>Population dynamics</topic><topic>Population ecology</topic><topic>Tenebrionidae</topic><topic>Tribolium</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hastings, Alan</creatorcontrib><creatorcontrib>Costantino, Robert F.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Periodicals Index Online Segment 16</collection><collection>Periodicals Index Online Segment 26</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>The Journal of animal ecology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hastings, Alan</au><au>Costantino, Robert F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Oscillations in Population Numbers: Age-Dependent Cannibalism</atitle><jtitle>The Journal of animal ecology</jtitle><date>1991-06-01</date><risdate>1991</risdate><volume>60</volume><issue>2</issue><spage>471</spage><epage>482</epage><pages>471-482</pages><issn>0021-8790</issn><eissn>1365-2656</eissn><coden>JAECAP</coden><abstract>(1) Interactions among different age-classes or life stages within single species animal populations are quite common. As an example of this type of interaction, we focus attention on larval cannibalism of eggs in the flour beetle Tribolium. As we do not consider any benefit of cannibalism for larvae, the dynamics of this interaction are the same as those of competition where a later life stage preempts resources used by an earlier life stage. (2) A mathematical model of the egg-larval interaction allows for the evaluation of the impact of the duration of the egg and larval intervals, fecundity, survival and cannibalism rates on the stability of the equilibrium number of larvae. (3) The local stability boundary, which separates the region of parameter space leading only to unstable equilibria and oscillations from that region yielding the possibility of stable equilibria, is dramatically modified by the inclusion of age-dependence in the cannibalism by larvae. In contrast to a model ignoring this age-dependence, the model which includes age-dependence predicts that all flour beetle cultures should display oscillations in larval numbers. (4) Review of over a half-century of Tribolium experiments is consistent with the model's forecast: egg and larval numbers oscillate in all reported data sets.</abstract><cop>Oxford</cop><pub>Blackwell Scientific Publications</pub><doi>10.2307/5292</doi><tpages>12</tpages></addata></record> |
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| ispartof | The Journal of animal ecology, 1991-06, Vol.60 (2), p.471-482 |
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| language | eng |
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| source | Periodicals Index Online; Jstor Complete Legacy |
| subjects | Animal cannibalism Animal ecology Animal, plant and microbial ecology Beetles Biological and medical sciences Birth rates Coleoptera Eggs Fundamental and applied biological sciences. Psychology Insect larvae Larvae Modeling Population dynamics Population ecology Tenebrionidae Tribolium |
| title | Oscillations in Population Numbers: Age-Dependent Cannibalism |
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