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Modeling spatio-temporal patterns of biological invasions into fragmented environments

Research Project

Project/Area Number 18570029
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Ecology/Environment
Research InstitutionDoshisha University

Principal Investigator

SHIGESADA Nanako  Doshisha University, 文化情報学部, 教授 (70025443)

Co-Investigator(Kenkyū-buntansha) KAWAKAKI Kohkichi  同志社大学, 文化情報学科, 教授 (10150799)
Project Period (FY) 2006 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,650,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥450,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2006: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsBiological Invasions / Fragmented Environment / Traveling periodic wave model / Fisher equation / Stratified diffusion / Integro-difference equation / Reaction-diffusion model / Traveling periodic wave / Stochastic CA model
Research Abstract

外来種の侵入とその伝播パターンが, 環境の自然的および人為的撹乱によりいかに影響を受けるかを数理モデルを用いて明らかにした。
具体的には, 人為的撹乱により生物の生息環境がモザイク状に分断化されている状況を定式化し, こうした分断化環境に侵入した生物の分布拡大過程を記述する数理モデルを構築した。 さらに, 数理モデルを解析することにより, どのようなモザイク構造が侵入パターンに大きなインパクトを与えるかを明らかにし, 合わせて保全への提言を試みた。

Report

(4 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • 2006 Annual Research Report
  • Research Products

    (39 results)

All 2009 2008 2007 2006

All Journal Article (16 results) (of which Peer Reviewed: 13 results) Presentation (16 results) Book (7 results)

  • [Journal Article] Spreading speeds for a partially cooperative 2-species reaction-diffusion model2009

    • Author(s)
      Hans F. Weinberger, Kohkichi Kawasaki and Nanako Shigesada
    • Journal Title

      Discrete and Continuous Dynamical Systems 23

      Pages: 1087-1098

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Memory of Prof. Ei Teramoto (1925-1996)2008

    • Author(s)
      Nanako Shigesada
    • Journal Title

      Mathematical Biosciences 214

      Pages: 3-5

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spreading speeds of spatially periodic integro-difference models for populations with non-monotone recruitment functions2008

    • Author(s)
      Hans F. Weinberger, Kohici Kawasaki and Nanako Shigesada
    • Journal Title

      J. Math. Biol 57

      Pages: 387-41

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spreading speeds of spatially periodic integro-difference models for populations with non-monotone recruitment functions.2008

    • Author(s)
      HF. Weinberger
    • Journal Title

      J. Math. Biol. 57

      Pages: 387-411

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Shigesada Spreading speeds for a partially cooperative 2-species reaction-diffusion model. Discrete and Continuous Dynamical Systems2008

    • Author(s)
      HF. Weinberger
    • Journal Title

      J. Math. Biol. 23

      Pages: 1087-1098

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Memory of Prof. Ei Teramoto2008

    • Author(s)
      N. Shigesada
    • Journal Title

      Mathematical Biosciences 214

      Pages: 3-5

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spreading speeds of spatially periodic integro-difference models for populations with non-monotone recruitment functions2008

    • Author(s)
      HF.Weinberger
    • Journal Title

      J.Math.Biol. (in press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spreading speeds for a partially cooperative 2-species reaction-diffusion model.2008

    • Author(s)
      HF.Weinberger
    • Journal Title

      Discrete and Continuous Dynamical Systems (in press)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An integrodifference model for biological invasions in a periodically fragmented environment2007

    • Author(s)
      Kohkichi Kawasaki and Nanako Shigesada
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 24

      Pages: 3-15

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] An integrodifference model forbiological invasions in aperiodicaly fragmented environment.2007

    • Author(s)
      K.Kawasaki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 24

      Pages: 3-15

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Spatial dynamics of invasion in sinusoidally varying environments2006

    • Author(s)
      Noriko Kinezaki, Kohkichi Kawasaki and Nanako Shigesada
    • Journal Title

      Population Ecology 48

      Pages: 263-270

    • NAID

      10020132813

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spread of the pinewood nematode vectored by the Japanese pine sawyer : modeling and analytical approaches2006

    • Author(s)
      Katsumi Togashi and Nanako Shigesada
    • Journal Title

      Population Ecology 48

      Pages: 271-283

    • NAID

      10020132828

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] How does stochasticity in colonization accelerate speeds of invasion in a cellular automaton model?2006

    • Author(s)
      Kohkichi Kawasaki, Fugo Takasu, Hal Caswell and Nanako Shigesada
    • Journal Title

      Ecological Research 21

      Pages: 334-345

    • NAID

      10017576794

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Spatial dynamics of invasion in sinusoidally varying environments2006

    • Author(s)
      Noriko Kinezaki
    • Journal Title

      Population Ecology 48

      Pages: 263-270

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Spread of the pinewood nematode vectored by the Japanese pine sawyer : modeling and analytical approaches2006

    • Author(s)
      Katsumi Togashi
    • Journal Title

      Population Ecology 48

      Pages: 271-283

    • Related Report
      2006 Annual Research Report
  • [Journal Article] How does stochasticity in colonization accelerate speeds of invasion in a cellular automaton model?2006

    • Author(s)
      Kohkichi Kawasaki
    • Journal Title

      Ecological Research 21

      Pages: 334-346

    • Related Report
      2006 Annual Research Report
  • [Presentation] 周期的変動環境における侵入生物の分布拡大- 好適環境への移流は伝播速度を加速するか?2009

    • Author(s)
      浅野恵介, 川崎廣吉, 重定南奈子
    • Organizer
      日本数理生物学会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-17
    • Related Report
      2008 Final Research Report
  • [Presentation] An integrodifference equation model for population with non-monotone recruitment functions in a periodically fragmented environment2008

    • Author(s)
      N. Shigesada
    • Organizer
      The Second China-Japan Colloquium of Mathematical Biology
    • Place of Presentation
      Okayama University
    • Year and Date
      2008-08-05
    • Related Report
      2008 Annual Research Report
  • [Presentation] An integrodifference model for biological invasions in a periodically fragmented environment2008

    • Author(s)
      N. Shigesada
    • Organizer
      European Conference on Mathematical and Theoretical Biology
    • Place of Presentation
      Edinburgh (Scotland)
    • Year and Date
      2008-07-03
    • Related Report
      2008 Annual Research Report
  • [Presentation] integrodifference equation model for population with non-monotone recruitment functions in a periodically fragmented environment2008

    • Author(s)
      Nanako Shigesda
    • Organizer
      The Second China-Japan Colloquium of Mathematical Biology
    • Place of Presentation
      Okayama University
    • Related Report
      2008 Final Research Report
  • [Presentation] Stratified colonizationin a CA model and its application to the epidemic propagation of pine wilt disease2007

    • Author(s)
      N Shigesada
    • Organizer
      日米合同数理生物学会
    • Place of Presentation
      サンノゼ、USA
    • Year and Date
      2007-08-03
    • Related Report
      2007 Annual Research Report
  • [Presentation] 周期的環境下における分布域拡大 : 積分差分方程式モデル2007

    • Author(s)
      川崎廣吉
    • Organizer
      日本生態学会大会
    • Place of Presentation
      松山大学
    • Year and Date
      2007-03-22
    • Related Report
      2008 Final Research Report
  • [Presentation] How do long-distance dispersal and stochasticity in colonization accelerate invasive speeds in a cellular automaton model?2007

    • Author(s)
      Nanako Shigesada
    • Organizer
      The International Symposium on Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences
    • Place of Presentation
      Shizuoka University
    • Related Report
      2008 Final Research Report
  • [Presentation] Stratified colonization in a CA model and its application to the epidemic propagation of pine wilt disease2007

    • Author(s)
      Nanako Shigesada
    • Organizer
      The Joint Annual Meetings of SMB and JSMB
    • Place of Presentation
      San Jose,USA
    • Related Report
      2008 Final Research Report
  • [Presentation] An integro-difference model for biological invasions in a periodically fragmented environment2007

    • Author(s)
      Kohkichi Kawasaki
    • Organizer
      The Joint Annual Meetings of SMB and JSMB
    • Place of Presentation
      San Jose, USA
    • Related Report
      2008 Final Research Report
  • [Presentation] Spatio-temporal Patterns of Invading Species in Fragmented Environments2007

    • Author(s)
      Nanako Shigesada.
    • Organizer
      BIOCOMP International Conference on Bioinformatics & Computational Biology
    • Place of Presentation
      Vietri et Mar, Italy
    • Related Report
      2008 Final Research Report
  • [Presentation] An integrodifference model for biological invasions in a periodically fragmented environment2007

    • Author(s)
      Nanako Shigesda
    • Organizer
      European Conference on Mathematical and Theoretical Biology
    • Place of Presentation
      Edinburgh University
    • Related Report
      2008 Final Research Report
  • [Presentation] Spatial Dynamics of Biological Invasions : theory and practice2006

    • Author(s)
      Nanako Shigesada
    • Organizer
      TUAT-NEICC International Workshop on Ecological Informatics of Chaos and Complex Systems
    • Place of Presentation
      東京農工大
    • Year and Date
      2006-03-02
    • Related Report
      2008 Final Research Report
  • [Presentation] How is spatial dynamics of invasion influenced by fragmentation of environments?2006

    • Author(s)
      Nanako Shigesada
    • Organizer
      Mathematical Biology Institute workshop "Spatial Ecology"
    • Place of Presentation
      Ohaio State University
    • Related Report
      2008 Final Research Report
  • [Presentation] 囚人のジレンマゲームによる協調文化の拡大パターン2006

    • Author(s)
      川崎廣吉
    • Organizer
      生態学会53回大会
    • Related Report
      2008 Final Research Report
  • [Presentation] Spatial Dynamics of Biological Invasion into Fragmented Environments2006

    • Author(s)
      Nanako Shigesada
    • Organizer
      Japan-China Colloquim
    • Place of Presentation
      Chongqing University, Chaina
    • Related Report
      2008 Final Research Report
  • [Presentation] Modelling spatio-temporal phenomena of biological invasions2006

    • Author(s)
      Nanako Shigesada
    • Organizer
      ReaBiLab Conference
    • Place of Presentation
      Bordeau, France
    • Related Report
      2008 Final Research Report
  • [Book] 不均一環境下における生物集団の分布拡大パターン. In : シリーズ数理生物学要論『「空間」の数理生物学』2009

    • Author(s)
      杵崎のり子, 川崎廣吉, 重定南奈子
    • Publisher
      日本数理生物学会編(瀬野裕美責任編集)共立出版
    • Related Report
      2008 Final Research Report
  • [Book] 撹乱と遷移の自然史 : 「空き地」の植物生態学2008

    • Author(s)
      重定南奈子・露崎史朗
    • Publisher
      北海道大学出版会
    • Related Report
      2008 Final Research Report
  • [Book] 数理を通してみた撹乱と生物多様性. In : 「撹乱と遷移の自然史 : 「空き地」の植物生態学」(重定南奈子・露崎史朗編著)2008

    • Author(s)
      重定南奈子
    • Publisher
      北海道大学出版会
    • Related Report
      2008 Final Research Report
  • [Book] 数理を通してみた撹乱と生物多様性 In : 「撹乱と遷移の自然史 : 空き地の植物生態学」(重定南奈子・露崎史朗編著)2008

    • Author(s)
      重定南奈子
    • Publisher
      北海道大学出版会
    • Related Report
      2008 Annual Research Report
  • [Book] 協調文化の発生と伝播- 囚人のジレンマゲームより -2006

    • Author(s)
      重定南奈子、川崎廣吉
    • Publisher
      文化情報学入門(村上征勝編)勉誠出版
    • Related Report
      2008 Final Research Report
  • [Book] 「数理生態学」生物物理ハンドブック2006

    • Author(s)
      重定南奈子
    • Publisher
      (日本生物物学会編)朝倉書店
    • Related Report
      2008 Final Research Report
  • [Book] 協調文化の発生と伝播-囚人のジレンマゲームより-(分担執筆)2006

    • Author(s)
      重定南奈子
    • Publisher
      勉誠出版
    • Related Report
      2006 Annual Research Report

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Published: 2006-04-01   Modified: 2016-04-21  

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