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Mathematical Study of Spatial Spread of Biological Invasion

Research Project

Project/Area Number 08640804
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, lecturer, 理学部, 講師 (70263423)
KAWASAKI Kohkichi  Doshisha University Department of Knowledge Engineering and Comupter Sciences, P, 工学部, 教授 (10150799)
Project Period (FY) 1996 – 1997
Project Status Completed (Fiscal Year 1997)
Budget Amount *help
¥2,500,000 (Direct Cost: ¥2,500,000)
Fiscal Year 1997: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 1996: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsbiological invasion / rate of spread / stratified diffusion / long-distance dispersal / fragmentation / environmental disturbance / pine wilt disease / マツ枯れ / 環境撹乱 / 生物侵入 / 松ガレ / セルオートマトン・モデル / 閾値密度
Research Abstract

1. An epidemic of pine wilt disease has been spreading in wide areas of Japan for several decades. The disease is caused by the pinewood nematode, Bursaphelenchus xylophilus, which the pine sawyer, Monochamus alternatus, as vector. We present a mathematical model to describe the host-parasite interaction between pines and pine sawyers carrying nematodes based on detailed data on the population dynamics of pine sawyers and the incidence of pine wilt disease at a study site located on the northwest coast of Japan. By analyzing the model we simulate the temporal change in the incidence of the disease and predict how the epidemic could be controlled by eradication of the pine sawyer. The main results are : 1) There is a minimum threshold of the initial pine density for successful invasion of the disease. However, even if the pine density exceeds the minimum threshold, the disease fails in invasion due to the Allee effect of the pine sawyer when its density is very low. 2) The minimum threshold density increases disproportionately with increase in the eradication rate. 3) The probability for a healthy tree to escape from infection until the epidemic dies out decreases sharply with increase in the initial pine density, when the eradication rate is low.
2. We analyzed the range expansion of an invading species and derived the conditions for persistence of a species two kinds of fragmented environments :
(1) an environment segmented into belts, with favorable and unfavorable patches arranged alterately.
(2) an environment segmented in both horizontal and vertical axs, with square-shaped favorable patches regularly distributed within the unfavorable environment.

Report

(3 results)
  • 1997 Annual Research Report   Final Research Report Summary
  • 1996 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] I.Tayasu: "Predator-mediated coexistence of epiphytic grass shrimp that complete for refuges." Ecological Modelling. 84. 1-10 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.Aoki: "Travelling Wave Solutions for the Spread of Farmers into a Region Occupied by Hnter-Gatherers." Theoretical Population Biology. 50. 1-17 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Simulation Study of Stratified Diffusion Model." Forma. 12. 167-175 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.Kawasaki: "Modeling Spatio-Temporal Patterns Generated by Bacillus subtilis." J.theor.Biol.188. 177-185 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Why do not all host species show defense against avian brood parasitism-evolutionary lag or equilibrium?" The American Naturalist. (in press). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Modeling Arms Race in Avian Brood Parasitism." Evolutionary Ecology. (in press). (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.Shigesada: "Biological Invasions : Theory and Practice" Oxford University Press, 205 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] I.Tayasu: "Predator-mediated coexistence of epiphytic grass shrimp that complete for refuges." Ecological Modelling. 84. 1-10 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.Aoki: "Traveling Wave Solutions for the Spread of Farmers into a Region Occupied by Hunter-Gatherers." Theoretical Population Biology.50. 1-17 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Simulation Study of Stratified Diffusion Model." Forma.12. 167-175 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] K.Kawasaki: "Modeling Spatio-Temporal Patterns Generated by Bacillus Subtilis." J.theor, Biol.188. 177-185 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Why do not all host species show defense against avian brood parasitism - evolutionary lag or equilibrium?" The American Naturalist. (in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] F.Takasu: "Modeling Arms Race in Avian Brood Parasitism." Evolutionary Ecology.(in press). (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] N.Shigesada: Biological Invasions : Theory and Practice.Oxford University Press, 205 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1997 Final Research Report Summary
  • [Publications] I.Tayasu: "Predator-mediated coexistence of epiphytic grass shrimp that complete for refuges." Ecological Modelling. 84. 1-10 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Aoki: "Travelling Wave Solutions for the Spread of Farmers into a Region Occupied by Hnter-Gatherers." Theoretical Population Biology. 50. 1-17 (1996)

    • Related Report
      1997 Annual Research Report
  • [Publications] F.Takasu: "Simulation Study of Stratified Diffusion Model." Forma. 12. 167-175 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] K.Kawasaki: "Modeling Spatio-Temporal Patterns Generated by Bacillus subtilis." J.theor.Biol.188. 177-185 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] F.Takasu: "Why do not all host species show defense against avian brood parasitism-evolutionary lag or equilibrium?" The American Naturalist,. (in press). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] F.Takasu: "Modeling Arms Race in Avian Brood Parasitism." Evolutionary Ecology. (in press). (1998)

    • Related Report
      1997 Annual Research Report
  • [Publications] N.Shigesada: "Biological Invasions : Theory and Practice." Oxford University Press, 205 (1997)

    • Related Report
      1997 Annual Research Report
  • [Publications] I.Tayasua: "Predator-mediated coexistence of epiphytic grass shrimps that compete for refuges." Ecological Modelling. 84. 1-10 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] T.Koyama: "A size-distribution-based model of forest dynamics over a thermal gradient along latitude." Vegetatio. 121. 117-126 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] K.Aoki: "Travelling wave solutions for the spread of farmers into a region occupied by hunter gatherers." Theor.Popul.Biol.50. 1-17 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] F.Takasu: "Simulation study of stratified diffusion model" Forma. (in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] Kawasaki,K.: "Modeling spatio-temporal patterns generated by Bacillus subtilis" Jour.theor.Biol.(in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] Takasu,F.: "Modeling Arms Race in Avian Brood Parasitism." Evol.Ecology. (in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shigesada: "Biological Inveasions:theory and practice" Oxford Univ.Press., 205 (1997)

    • Related Report
      1996 Annual Research Report

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Published: 1996-04-01   Modified: 2016-04-21  

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