Use of birth-death-migration processes for describing the spread of insect populations
This paper models the spread of insect populations using stochastic birth-death-migration processes and presents statistical methodology for predicting population size. A birth-death-migration model for population growth and a stochastic compartmental model for population dispersal are developed and...
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| Veröffentlicht in: | Environmental entomology 1994-02, Vol.23 (1), p.18-28 |
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| container_title | Environmental entomology |
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| creator | Matis, J.H Kiffe, T.R Otis, G.W |
| description | This paper models the spread of insect populations using stochastic birth-death-migration processes and presents statistical methodology for predicting population size. A birth-death-migration model for population growth and a stochastic compartmental model for population dispersal are developed and compared with Skellam's (1951, Biometrika 38:196-218) classic diffusion model. Statistical inferences are based on approximating gamma distributions. The birth-death-migration models have the advantages of incorporating more biological detail, accommodating releases from multiple sites, containing standard errors for predictions, and yielding inherent spatial correlation structure. A special case of the model is illustrated with data on the population dynamics of the Africanized honey bee, Apis mellifera L. The model is very general and has wide application to the range expansion and migration of other species because of its parameterization with generic birth, death, and migration rates |
| doi_str_mv | 10.1093/ee/23.1.18 |
| format | Article |
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A birth-death-migration model for population growth and a stochastic compartmental model for population dispersal are developed and compared with Skellam's (1951, Biometrika 38:196-218) classic diffusion model. Statistical inferences are based on approximating gamma distributions. The birth-death-migration models have the advantages of incorporating more biological detail, accommodating releases from multiple sites, containing standard errors for predictions, and yielding inherent spatial correlation structure. A special case of the model is illustrated with data on the population dynamics of the Africanized honey bee, Apis mellifera L. 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A birth-death-migration model for population growth and a stochastic compartmental model for population dispersal are developed and compared with Skellam's (1951, Biometrika 38:196-218) classic diffusion model. Statistical inferences are based on approximating gamma distributions. The birth-death-migration models have the advantages of incorporating more biological detail, accommodating releases from multiple sites, containing standard errors for predictions, and yielding inherent spatial correlation structure. A special case of the model is illustrated with data on the population dynamics of the Africanized honey bee, Apis mellifera L. The model is very general and has wide application to the range expansion and migration of other species because of its parameterization with generic birth, death, and migration rates</description><subject>Animal and plant ecology</subject><subject>Animal, plant and microbial ecology</subject><subject>Animals</subject><subject>APIS MELLIFERA</subject><subject>Biological and medical sciences</subject><subject>Demecology</subject><subject>EVOLUCION DE LA POBLACION</subject><subject>EVOLUTION DE LA POPULATION</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Insecta</subject><subject>Invertebrates</subject><subject>MIGRACION ANIMAL</subject><subject>MIGRATION ANIMALE</subject><subject>MODELE</subject><subject>MODELOS</subject><subject>Protozoa. 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Psychology</topic><topic>Insecta</topic><topic>Invertebrates</topic><topic>MIGRACION ANIMAL</topic><topic>MIGRATION ANIMALE</topic><topic>MODELE</topic><topic>MODELOS</topic><topic>Protozoa. Invertebrata</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Matis, J.H</creatorcontrib><creatorcontrib>Kiffe, T.R</creatorcontrib><creatorcontrib>Otis, G.W</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Animal Behavior Abstracts</collection><collection>Ecology Abstracts</collection><collection>Entomology Abstracts (Full archive)</collection><collection>Environmental Sciences and Pollution Management</collection><jtitle>Environmental entomology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Matis, J.H</au><au>Kiffe, T.R</au><au>Otis, G.W</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Use of birth-death-migration processes for describing the spread of insect populations</atitle><jtitle>Environmental entomology</jtitle><date>1994-02-01</date><risdate>1994</risdate><volume>23</volume><issue>1</issue><spage>18</spage><epage>28</epage><pages>18-28</pages><issn>0046-225X</issn><eissn>1938-2936</eissn><coden>EVETBX</coden><abstract>This paper models the spread of insect populations using stochastic birth-death-migration processes and presents statistical methodology for predicting population size. A birth-death-migration model for population growth and a stochastic compartmental model for population dispersal are developed and compared with Skellam's (1951, Biometrika 38:196-218) classic diffusion model. Statistical inferences are based on approximating gamma distributions. The birth-death-migration models have the advantages of incorporating more biological detail, accommodating releases from multiple sites, containing standard errors for predictions, and yielding inherent spatial correlation structure. A special case of the model is illustrated with data on the population dynamics of the Africanized honey bee, Apis mellifera L. The model is very general and has wide application to the range expansion and migration of other species because of its parameterization with generic birth, death, and migration rates</abstract><cop>Lanham, MD</cop><pub>Entomological Society of America</pub><doi>10.1093/ee/23.1.18</doi><tpages>11</tpages></addata></record> |
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| ispartof | Environmental entomology, 1994-02, Vol.23 (1), p.18-28 |
| issn | 0046-225X 1938-2936 |
| language | eng |
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| source | Oxford University Press Journals Digital Archive Legacy |
| subjects | Animal and plant ecology Animal, plant and microbial ecology Animals APIS MELLIFERA Biological and medical sciences Demecology EVOLUCION DE LA POBLACION EVOLUTION DE LA POPULATION Fundamental and applied biological sciences. Psychology Insecta Invertebrates MIGRACION ANIMAL MIGRATION ANIMALE MODELE MODELOS Protozoa. Invertebrata |
| title | Use of birth-death-migration processes for describing the spread of insect populations |
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