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Modeling spatio-temporal pattern of biological invasions that involve short-and long-distance dispersals

Research Project

Project/Area Number 13640627
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 生態
Research InstitutionNara Women's University

Principal Investigator

SHIGESADA Nanako  Nara Women's University, Department of Science, Professor, 理学部, 教授 (70025443)

Co-Investigator(Kenkyū-buntansha) TAKASU Fugo  Nara Women's University, Department of Science, Associate Professor, 理学部, 助教授 (70263423)
KAWASAKI Kohkichi  Doshisha University, Department of Knowledge Engineering and Computer Sciences, Professor, 工学部, 教授 (10150799)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,900,000 (Direct Cost: ¥2,900,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥1,500,000 (Direct Cost: ¥1,500,000)
KeywordsEffect of stochasticity / Long-distance dispersal / Rate of spread / Dispersal kernel / Biological invasion / Stratified diffusion / Integrodifference model
Research Abstract

The range expansion of an invading species shows a variety of spatio-temporal patterns depending on how the dispersal and reproduction of the organisms take place. To grasp the spatial pattern of invasion and its rate of spread quantitatively, we have constructed two different mathematical models that deal with short-and long-distance dispersals as well as the Allee effect and/or demographic stochasticity : 1)the stratified diffusion model and 2)the integral-kernel-based models. By solving these models either analytically or numerically, we derived formulae for the rate of spread and used them to explore how long-distance dispersal and reproduction interplay to accelerate the speed, or how the Allee effect or demographic stochasticity decelerates it.
Integrating the ideas of the above two models together with a cell-automaton model, we carried out simulations for the spread of pine wilt disease in Inbaragi Prefecture, Japan. Pine wilt disease is caused by the pinewood nematode that is vectored by the pine sawyer beetle. The dispersal of the beetle often involves two modes, short-range dispersal and long-range dispersal. We estimated the proportion of long-range dispersers in the population of the disease vector (the pine sawyer beetle) on the basis of field data. Thus we concluded that the dispersal distance of beetles critically affects the expansion speed of the disease, which is sharply amplified, as the fraction of beetles undergoing long distance dispersal increases from zero.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (34 results)

All Other

All Publications (34 results)

  • [Publications] Kinezaki, N., Kawasaki, K., Takasu, F., Shigesada, N.: "Modeling Biological Invasions into Periodically Fragmented Environments"Theoretical Population Biology. 64. 291-302 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Osawa, K., Kawasaki, K., Takasu, F., Shigesada, N.: "How does spatio-temporal disturbance influence species diversity in a hierarchical competitive system?: Prospective order of species"Population Ecology. 45. 239-247 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Osawa, K., Kawasaki, K., Takasu, F., Shigesada, N.: "Recurrent habitat disturbance and species diversity in a multiple-competitive species system."Journal of theoretical Biology. 216. 123-138 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hamaguchi, Y., Sakai, Y., Takasu, F., Shigesada, N.: "Modeling spawning strategy for sex change under social control in haremic angelfishes."Ecology. 13. 75-82 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Petrovskii, S., Shigesada N.: "Some exact solutions of a generalized Fisher equation related to the problem of biological invasion."Mathematical Biosciences. 172. 3-94 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nunotani, H., Kawasaki, K., Takasu, F., Togashi, K., Shigesada, N.: "Spatial spread of pine wilt disease : modeling the dispersal distance distribution of the pine sawyer beetle, monochamus alternatus."IUFRO World Series. 11. 79-85 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Petrovskii, S., Kawasaki, K., Takasu, F., Shigesada, N.: "Diffusive Waves, Dynamical Stabilization and Spatio-temporal Chaos in a Community of Three Competitive Species."Japan Journal of Industrial and Applied Mathematics. 18. 459-481 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shigesada, N., Kawasaki, K: "Invasion and species range expansion. In : Dispersal Ecology"Blackwell Science. 24 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] 福谷郁子, 重定南奈子, 高須夫悟: "リンデンマイヤー・システムとしての植物根系の形態.In:生物の形の多様性と進化-遺伝子から生態系まで-(関村, 野馳, 森田編)-裳華房"裳華房. 10 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shigesada, N., Kinezaki, N., Kawasaki, K., Takasu, F.: "Biological Invasion into Periodically Fragmented Environments : Diffusion-Reaction Model. In : Morphogenesis and Pattern Formation in Biological Systems Experiments and Models"Springer-Verlag. 8 (2003)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Petrovskii, S., Kawasaki, K., Takasu, F., Shigesada, N.: "Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species."Japan Journal of Industrial and Applied Mathematics. 18. 459-481 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Petrovskii, S., Shigesada N.: "Some exact solutions of a generalized Fisher equation related to the problem of biological invasion."Mathematical Biolsciences. 172. 73-94 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nunotani, H., Kawasaki, K., Takasu, F., Togashi, K., Shigesada, N.: "Spatial spread of pine wilt disease : modeling the dispersal distance distribution of the pine sawyer beetle, monochamus alternatus. In: Protection of World Forests from Insect Pests:Advances in Research (eds.H.Evans & A.Liebhold)"IUFRO World Series. 11. 79-85 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Hamaguchi, Y., Sakai, Y., Takasu, F., Shigesada, N.: "Modeling spawning strategy for sex change under social control in haremic angelfishes."Behavioral Ecology. 13. 75-82 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kyoko Ohsawa, Kohkichi Kawasaki, Fugo Takasu, Nanako Shigesada: "Recurrent Habitat Disturbance and Species Diversity in a Multiple-Competitive Species System."J.theor.Biol.. 216. 123-138 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Shigesada, N., Kawasaki, K.: "Invasion and species range expansion."Dispersal Ecology (eds.J.Bullock, R.Kenward &R.Hails)(Blackwell Science). 350-373 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Noriko Kinezaki, Kohkichi Kawasaki, Fugo Takasu, Nanako Shigesada: "Modeling Biological Invasions into Periodically Fragmented Environments."Theoretical Population Biology. 64. 291-302 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Nanako Shigesada, Noriko Kinezaki, Kohkichi Kawasaki, Fugo Takasu: "Biological Invasion into Periodically Fragmented Environments : Diffusion-Reaction Model."Morphogenesis and Pattern Formation in Biological Systems : Experiments and Models. (Springer-Verlag Tokyo). 215-222 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kyoko Ohsawa, Kohkichi Kawasaki, Fugo Takasu, Nanako Shigesada: "How does spatio-temporal disturbance influence species diversity in a hierarchical competitive system? Prospective order of species coexistence and extinction."Population Ecology. 45. 239-247 (2003)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Kinezaki, N., Kawasaki, K., Takasu, F., Shigesada, N.: "Modeling Biological Invasions into Periodically Fragmented Environments"Theoretical Population Biology. 64. 291-302 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Osawa, K., Kawasaki, K., Takasu, F., Shigesada, N.: "How does spatio-temporal disturbance influence species diversity in a hierarchical Competitive System? : Prospective Order of Species Coexistence and Extinction"Population Ecology. 45. 239-247 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 重定南奈子: "数理を通してみたマツ枯れの侵入と伝播"文部科学教育通信. 81. 28-29 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] 福谷郁子, 重定南奈子, 高須夫悟: "リンデンマイヤー・システムとしての植物根系の形態.In:生物の形の多様性と進化-遺伝子から生態系まで-(関村・野馳,森田編)"裳華房. 10 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Shigesada, N., Kinezaki, N., Kawasaki, K., Takasu, F.: "Biological Invasion into Periodically Fragmented Environments : Diffusion-Reaction Model In : Morphogenesis and Pattern Formation in Biological Systems Experiments and Models"Springer-Verlag. 8 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Kinezaki: "Modeling Biological Invasions into Periodically Fragmented Environments"Theoretical Population Biology (Special Issue). (In press). (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Y.Hamaguchi: "Modeling spawning strategy for sex change under social control in Haremicangelfishes"Behavioral Ecology. 13. 75-82 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Ohsawa: "Recurrent Habitat Disturbance and Species Diversity in a Multiple-Competitive Species System"J.theor.Biology.. 216. 123-138 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] N.Shigesada, K.Kawasaki: "Invasion and species range expansion. In : Dispersal Ecology"Blackwell Science. 24 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Petrovskii, S.: "Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species"Japan Joumal of Industrial and pApplied Mathematics. 18. 459-481 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Petrovskii, S: "Some exact solutions of a generalized Fisher equation related to the problem of biological invasion"Mathematical Biolsciensces. 172. 73-94 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Nunotani, H.: "Spatial spread of pine wilt disease : modeling the dispersal distance distribution of the pine sawyer beetle, monochamus alternatus. Protection of World Forests from Insect Pests"In : Protection of World Forests from Insect Pests : Advances in Research(eds. H. Evans & A Liebhold) IUFRO World Sorios. 11. 79-85 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] Hamaguchi, Y.: "Modeling spawning strategy for sex change under social control in haromio angelfishes"Behavioral Ecology. 13. 75-82 (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Shigesada, N.: "Invasion and species range expansion"In : Dispersal(eds. J. Bullock, R. Kenward and R. Hails) Blackwell Scienee. (in press). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] 福谷 郁子, 高須 夫悟, 重定 南奈子: "リンデンマイヤー・システムとしての植物根茎の形態 In:生物の形の多様性と進化-その普遍的考え方を求めて (関村,野馳,森田偏)"裳華房(in press). (2002)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2016-04-21  

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