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Mathematical Analyses of Spatial Spread of Pine Wilt Disease

Research Project

Project/Area Number 10640616
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) FUGO Takasu  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) 1998 – 2000
Project Status Completed (Fiscal Year 2000)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2000: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1999: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1998: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsPine wilt disease / Long-distance dispersal / Rate of spread / Dispersal kernel / Biological invasion / Stratified diffusion / Integrodifference model / マツノマダラカミクリ / 移動分布 / マツノザイセンチュウ / 長距離移動 / 駆除率 / 環境撹乱 / マツ枯れ / マツノマダラカミキリ / 環境攪乱
Research Abstract

Pine wilt disease is caused by the pinewood nematode, Bursaphelenchus xylophilus, that is vectored by the pine sawyer beetle, Monochamus alternatus. Native Japanese pines, black pine (Pinus thunbergii) and red pine (P.densiflora), are extremely sensitive to the nematode infection and the disease has been expanding nationwide in the last several decades despite intensive control efforts. The dispersal of the beetle often involves two modes, short-range dispersal and long-range dispersal. Short-range dispersal generally occurs through their own active flying, while long-range dispersal is mediated by passive transport on wind or artificial transportation facilities. To evaluate the speed of disease's expansion, we present a model that combines the local dynamics of the pine wilt disease with the dispersal of beetles. Our model predicts several results.
(1) The distribution of the dispersal distance of beetles critically affects the expansion speed of the disease. The expansion speed is sharply amplified, as the fraction of beetles undergoing long distance dispersal increases from zero.
(2) However, if long range dispersers become too frequent, the disease ceases to expand due to the Allee effect. Thus suggests the importance of correct assessment of the beetle's mobility in predicting the expansion speed of the disease.
(3) As the eradication rate is increased, the expansion speed decreases gradually at first and suddenly drops to zero at a certain value of the eradication rate.

Report

(4 results)
  • 2000 Annual Research Report   Final Research Report Summary
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (40 results)

All Other

All Publications (40 results)

  • [Publications] Muko,S.: "Morphological plasticity in the coral Porites sillimaniani an its adaptiver significance."Bulletin of Marine Science. 66. 225-239 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] K.Iwata: "A dynamical model for the growth and size distribution of multiple metastatic tumors."J.theoretical Biology. 203. 177-186 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Petrovskii,S.: "Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species."Japan Journal of Industrial and Applied Mathematics. in press. (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] F.Takasu: "Modeling the range expansion of an introduced tree disease."Biological Invasion. 2. 141-150 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 山本奈美子: "マツ枯れシステムのダイナミクスと大域的伝播の数理解析大域的伝播の数理解析"日本生態学会誌. 50. 275-282 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yoshimura,A.: "Modeling the spread of pine wilt disease caused by nematodes with pine sawvers as vector."J.theoretical Biology. 80. 1691-1702 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takasu,F.: "Mathematical models for biological invasions - competition for open spaces."Niaes Series. 3. 78-87 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kubo,Y.: "Population Dynamics of Nitrifying Bacteria in an Aquatic Ecosystem."Biological Sciences in Space. 13. 333-340 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 重定南奈子: "バクテリアコロニーが形成するパターン"共立出版. 17-35 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 重定南奈子: "環境によって変わる相互作用"三友社出版. 62-69 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] 重定南奈子: "数理生態学"岩波書店. 1-26 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Petrovskii, S.: "Diffusive Waves, Dynamical Stabilization and Spatio-temporal Chaos in a Community of Three Competitive Species."Japan Journal of Industrical and Applied Mathematics.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Nunotani, H.: "Spatial Spread of Pine Wilt Disease : Modeling the Dispersal Distance Distribution of the Pine Sawyer Beetle, Monochamus Alternatus."Proceedings of 21th IUFRO Conference.. (in press). (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yamamoto, N.: "Modeling the range expansion of an introduced tree disease."Biological Invasion.. 2. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yamamoto, N.: "Mathematical Analyses of Spatio-Temporal Dynamics of Pine Wilt Disease (in Japanese)."Japanese Journal of Ecology. 50. 275-282 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigesada, N.: "Complex Patterns in Bacterial Colonies-Approach from Diffusion Model (in Japanese)."Biophysics.. 40. 1-5 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Iwata, K.: "A Dynamical Model for the Growth and Size Distribution of Multiple Metastatic Tumors."Journal of theoretical Biology.. 203. 177-186 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Muko, S.: "Morphological Plasticity in the Coral Porites sillimaniani and its Adaptive Significance."Bulletin of Marine Science.. 66. 225-239 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Kubo, Y.: "Population Dynamics of Nitrifying Bacteria in an Aquatic Ecosystem."Biological Sciences in Space.. 13. 333-340 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Yoshimura, A.: "Modeling the spread of pine will disease caused by nematodes with pine sawyers as vector."Ecology. 80. 1691-1702 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Takasu, F.: "Mathematical models for biological invasions-competition for open spaces."In : Biological Invasions of Ecosystem by Pests and Beneficial Organisms.(eds.Yano, E., Matsuo, K., Shiyomi, M.and Andow D.A.) Niaes Series. 3. 78-87 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Shigesada, N.: "Mathematical Biology. Iwanami Series of Applied Mathematics."Iwanami Publisher.. 1-26 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2000 Final Research Report Summary
  • [Publications] Muko,S.: "Morphological plasticity in the coral Porites sillimaniani an its adaptiver significance."Bulletin of Marine Science. 66. 225-239 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] K.Iwata: "A dynamical model for the growth and size distribution of multiple metastatic tumors."J.theoretical Biology. 203. 177-186 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] Petrovskii,S.: "Diffusive waves, dynamical stabilization and spatio-temporal chaos in a community of three competitive species."Japan Journal of Industrial and Applied Mathematics. (in press). (2001)

    • Related Report
      2000 Annual Research Report
  • [Publications] F.Takasu: "Modeling the range expansion of an introduced tree disease."Biological Invasion. 2. 141-150 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 山本奈美子: "マツ枯れシステムのダイナミクスと大域的伝播の数理解析大域的伝播の数理解析"日本生態学会誌. 50. 275-282 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 重定南奈子: "バクテリアコロニーが形成するパターン"共立出版. 17-35 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] 重定南奈子: "環境によって変わる相互作用"三友社出版. 62-69 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] A.Yoshimura: "Modeling the spread of pine wilt disease caused by nematodes with pine sawyers as vector"Ecology. 80. 1691-1702 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] F.Takasu: "Mathematical models for biological invasions -- competition for open spaces"Niaes Series. 3. 78-87 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Kubo: "Population Dynamics of Nitrifying Bacteria in an Aquatic Ecosystem"Biological Sciences in Sapce. 13. 333-340 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] S.Muko: "Morphological plasticity in the coral Porites sillimaniani and its adaptiver significance"Bulletin of Marine Science. 66. 225-239 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.Yamamoto: "Modeling the range expansion of pine wilt disease in Japan"Biological Invasion. (in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] 重定南奈子: "生物物理"バクテリアコロニーの複雑なかたちづくり -- 拡散モデルの可能性(in press). (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] F.Takasu: "Why do all host species not show defense against avian brood parasitism: evolutionary lag or equilibrium?" American Naturalist. 151. 193-205 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Yoshimura: "Modeling the spread of pine wilt disease caused by nematodes with pine sawyers as vector." Ecology. (in press). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] F.Takasu: "The role of theoretical models explaining the relationships between brood parasite and their hosts." Proc.22 Int.Ornithol.Congr. (in press). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] F.Takasu: "Mathematical models for biological invasions -competition for open spaces" Technical Report of Agriculture and Environmental Institution. 3(in press). (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 重定 南奈子: "岩波講座「応用数学」数理生態学" 岩波書店, 26 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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