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Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes
We analysed two 26-year long (1970 to 1995) time-series on annual population growth rates of Norwegian lemmings (Lemmus lemmus) from Finse, south Norway, using a threshold autoregressive (TAR) approach. We demonstrate that the population dynamics is both phase- and density-dependent. The phase-depen...
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| Published in: | Proceedings of the Royal Society. B, Biological sciences Biological sciences, 1998-10, Vol.265 (1409), p.1957-1968 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c820t-ddefce54b4ba7b6f26be1d4fdd275fcbdbf40278679eb99fd073af6b5e3f73113 |
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| cites | cdi_FETCH-LOGICAL-c820t-ddefce54b4ba7b6f26be1d4fdd275fcbdbf40278679eb99fd073af6b5e3f73113 |
| container_end_page | 1968 |
| container_issue | 1409 |
| container_start_page | 1957 |
| container_title | Proceedings of the Royal Society. B, Biological sciences |
| container_volume | 265 |
| creator | Stenseth, N. C. Chan, K. Framstad, E. Tong, H. |
| description | We analysed two 26-year long (1970 to 1995) time-series on annual population growth rates of Norwegian lemmings (Lemmus lemmus) from Finse, south Norway, using a threshold autoregressive (TAR) approach. We demonstrate that the population dynamics is both phase- and density-dependent. The phase-dependence accounts for the observed nonlinearity. We used the deduced stochastic model structure as a basis for evaluating the dynamic properties of this system. The dynamics is characterized either by limit cycles or chaos (the latter with a strong semi-periodic component). Stochasticity is seen to play an important role in the determination of the periodicity. The ecological implications of these statistical and mathematical results are discussed. |
| doi_str_mv | 10.1098/rspb.1998.0526 |
| format | article |
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C.</creatorcontrib><creatorcontrib>Chan, K.</creatorcontrib><creatorcontrib>Framstad, E.</creatorcontrib><creatorcontrib>Tong, H.</creatorcontrib><title>Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes</title><title>Proceedings of the Royal Society. B, Biological sciences</title><addtitle>Proc Biol Sci</addtitle><description>We analysed two 26-year long (1970 to 1995) time-series on annual population growth rates of Norwegian lemmings (Lemmus lemmus) from Finse, south Norway, using a threshold autoregressive (TAR) approach. We demonstrate that the population dynamics is both phase- and density-dependent. The phase-dependence accounts for the observed nonlinearity. We used the deduced stochastic model structure as a basis for evaluating the dynamic properties of this system. The dynamics is characterized either by limit cycles or chaos (the latter with a strong semi-periodic component). Stochasticity is seen to play an important role in the determination of the periodicity. The ecological implications of these statistical and mathematical results are discussed.</description><subject>Animals</subject><subject>Arvicolinae</subject><subject>Chaos theory</subject><subject>Continuous Tar Models</subject><subject>Determinism</subject><subject>Deterministic Processes</subject><subject>Dynamic Stability Analysis</subject><subject>Ecological modeling</subject><subject>Ecosystem</subject><subject>Lemmus lemmus</subject><subject>Microtine Population Cycles</subject><subject>Modeling</subject><subject>Models, Biological</subject><subject>Nonlinear Dynamics</subject><subject>Norway</subject><subject>Parametric models</subject><subject>Population Density</subject><subject>Population Dynamics</subject><subject>Population ecology</subject><subject>Predation</subject><subject>Rodents</subject><subject>Stochastic Processes</subject><subject>Voles</subject><issn>0962-8452</issn><issn>1471-2954</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1998</creationdate><recordtype>article</recordtype><recordid>eNqFUk1v1DAQjRColMKVAxJSTtyy2I4dxxwQtEBBWqDiowculmNPdt1m42AnLcuRX46TXa1YIcopGr83b-blTZI8xGiGkSif-tBVMyxEOUOMFLeSQ0w5zohg9HZyiERBspIycje5F8IFQkiwkh0kB6IkOC_IYfLrbKkCZKlqTWqgDbZfZwY6aGPRp53rhkb11rWpWbdqZXVIbZt-cP4aFla1aQOrlW0X4Vl87sErPXEr6K8BYg_Et4jb0Fs9jQi903HgWHbeaQgBwv3kTq2aAA-236Pk65vXX07eZvOPp-9OXs4zXRLUZ8ZArYHRilaKV0VNigqwobUxhLNaV6aqKSK8LLiASojaIJ6ruqgY5DXPMc6Pkucb3W6oVmB0NOhVIztvV8qvpVNW7iOtXcqFu5K4KAUteRR4shXw7vsAoZcrGzQ0jWrBDUFyhArCRf5fIuakRJyMirMNUXsXgod6tw1GcoxXjvHKMV45xhsbHv_pYUff5hnxsMG9W8d_6bSFfi0v3ODbWMpPn8-Ooxi6IgWzmCIhUZljxDGlVP603TRuJMhIkDaEAeRE21_j763ym6b-08ujTddFvAq_s8IwZmNY2QaMtwM_dqDyl7LgOWfyvKTy1fnx6Xv07VTOI__Fhr-0i-W19SD3dplGaxdvtO0nb5MrLBiX9dDEIzB1lCA3Srh150O1353_BoJ6Ht0</recordid><startdate>19981022</startdate><enddate>19981022</enddate><creator>Stenseth, N. 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C. ; Chan, K. ; Framstad, E. ; Tong, H.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c820t-ddefce54b4ba7b6f26be1d4fdd275fcbdbf40278679eb99fd073af6b5e3f73113</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1998</creationdate><topic>Animals</topic><topic>Arvicolinae</topic><topic>Chaos theory</topic><topic>Continuous Tar Models</topic><topic>Determinism</topic><topic>Deterministic Processes</topic><topic>Dynamic Stability Analysis</topic><topic>Ecological modeling</topic><topic>Ecosystem</topic><topic>Lemmus lemmus</topic><topic>Microtine Population Cycles</topic><topic>Modeling</topic><topic>Models, Biological</topic><topic>Nonlinear Dynamics</topic><topic>Norway</topic><topic>Parametric models</topic><topic>Population Density</topic><topic>Population Dynamics</topic><topic>Population ecology</topic><topic>Predation</topic><topic>Rodents</topic><topic>Stochastic Processes</topic><topic>Voles</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Stenseth, N. C.</creatorcontrib><creatorcontrib>Chan, K.</creatorcontrib><creatorcontrib>Framstad, E.</creatorcontrib><creatorcontrib>Tong, H.</creatorcontrib><collection>Istex</collection><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>Ecology Abstracts</collection><collection>Environmental Sciences and Pollution Management</collection><collection>MEDLINE - Academic</collection><collection>PubMed Central (Full Participant titles)</collection><jtitle>Proceedings of the Royal Society. B, Biological sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Stenseth, N. 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We used the deduced stochastic model structure as a basis for evaluating the dynamic properties of this system. The dynamics is characterized either by limit cycles or chaos (the latter with a strong semi-periodic component). Stochasticity is seen to play an important role in the determination of the periodicity. The ecological implications of these statistical and mathematical results are discussed.</abstract><cop>England</cop><pub>The Royal Society</pub><pmid>9821362</pmid><doi>10.1098/rspb.1998.0526</doi><tpages>12</tpages><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0962-8452 |
| ispartof | Proceedings of the Royal Society. B, Biological sciences, 1998-10, Vol.265 (1409), p.1957-1968 |
| issn | 0962-8452 1471-2954 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_70062793 |
| source | JSTOR Archival Journals and Primary Sources Collection; PubMed Central; Royal Society Publishing Jisc Collections Royal Society Journals Read & Publish Transitional Agreement 2025 (reading list) |
| subjects | Animals Arvicolinae Chaos theory Continuous Tar Models Determinism Deterministic Processes Dynamic Stability Analysis Ecological modeling Ecosystem Lemmus lemmus Microtine Population Cycles Modeling Models, Biological Nonlinear Dynamics Norway Parametric models Population Density Population Dynamics Population ecology Predation Rodents Stochastic Processes Voles |
| title | Phase- and density-dependent population dynamics in Norwegian lemmings: interaction between deterministic and stochastic processes |
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