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Mathematical study on global dynamics in ecological systems

Research Project

Project/Area Number 07304079
Research Category

Grant-in-Aid for Scientific Research (B)

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

Principal Investigator

SHIGESADA Nanako  Nara Women's University, Department of Information and Computer Sciences, Professor, 理学部, 教授 (70025443)

Co-Investigator(Kenkyū-buntansha) HIGASHI Masahiko  Kyoto University, Center for Ecological Research, Professor, 生態研センター, 教授 (40183917)
IWASA Yoh  Kyushu University, Department of Biology, Professor, 理学部, 教授 (70176535)
KAWASAKI Kohkichi  Doshisya University, Department of Knowledge Engineering and Computer Sciences, 工学部, 教授 (10150799)
NAKAJIMA Hisao  Ritsumeikan University, Department of Physics, Professor, 理工学部, 教授 (40113112)
YAMAMURA Norio  Kyoto University, Center for Ecological Research, Professor, 生態研センター, 教授 (70124815)
松田 裕之  九州大学, 理学部, 助教授 (70190478)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 1996: ¥1,100,000 (Direct Cost: ¥1,100,000)
Keywordsmathematical model / global dynamics / disturbance / biological invasion / range expansion / habitat fragmentation / global change / global warming / グローハル動態 / 生息地の網分化 / species diversity / gap dynamics / lattice model / indirect effect / ecological interaction / biological invasion / range expansion / CA model
Research Abstract

This study has aimed at theoretical understanding of global spatial and temporal changes in ecological systems with reference to various aspects of environmental issues. Specific subjects include conservation of diversity of ecosystems, invasion of alien species, extinction of rare species, function of ecosystems and so on. Representative results are summarized below.
1. A mathematical model for invasions of two competing species into open spaces is investigated. The effect of disturbances that cause the environment to change in both time and space is examined, and principles of coexistence between the invading and native species are explored.
2. Global diversification of termites driven by the evolution of sociality and symbiosis is discussed by means of the possible mechanism of C-N balance.
3. Gap formation process in forested ecosystems is analyzed by using a lattice-structured forest model. A pair approximation technique is applied to predict the dynamics of gap formation, gap expansion, regeneration, and gap closure.
4. By using data on the age-specific annual fecundity and catches-at-age by each fishery in a cub mackerel population in the Pacific Ocean off Japan during 1970-1992, the long-term fluctuation in impacts of two types of fisheries, the purse-seine fishery and the dip-net fishery, is evaluated.
5. Invasion process is analyzed by using a stratified diffusion model, in which both the short and long range dispersals are taken into account. Applying models to the invasion of the House Finch, the effects of long- and short- distance dispersals on the range expansion are evaluated separately.

Report

(3 results)
  • 1996 Annual Research Report   Final Research Report Summary
  • 1995 Annual Research Report
  • Research Products

    (67 results)

All Other

All Publications (67 results)

  • [Publications] Aoki, K.: "Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers." Theor. Population Biology. 50. 1-17 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kohyama, T.: "A size-distribution-based model of forest dynamics over a thermal gradient along latitude." Vegetatio. 121. 117-126 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Nakajima, H.: "Indirect Effects in Ecological Interaction Networks II. The Conjugate Variable Approach." Mathematical Biocsiences. 130. 129-150 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Shigesada, N.: "Modeling Stratified Diffusion in Biological Invasions." American Naturalist. 146. 229-251 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kubo, T.: "Forest spatial dynamics with gap expansion : total gap area and gap size distribution." Journal of theoretical Biology. 180. 229-246 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Higashi, M.: "Indirect effects in ecological interaction networks I. The chain rule approach" Mathematical Biocsiences. 130. 99-128 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Harada, Y.: "Analyses of spatial patterns and population processes of clonal plants." Researches on Population Ecology. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Matsuda, H.: "Impacts per unit weight in catch by two types of fisheries on a chub mackerel population." Researches on Population Ecology. 38(2). 219-224 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takada, T.: "The optimal allocation to seed reproduction and vegetative reproduction in perennial plants." Journal of Theoretical Biology. 182b. 179-191 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 原田 泰志: "水産資源生物の管理と生態に関する数理学的研究" 日本水産学会誌. 61. 477-480 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Giho, H.: "Transition matrix modelling on disturbance-controlled persistence" Ecol. Modelling. 94. 201-214 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takasu, F.: "Modeling Arms Race in Avian Brood Parasitism." Evolutionary Ecology. (in press).

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Shigesada, N.: "Biological Invasions : theory and practice." Oxford Univ. Press., 205 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 巌佐 庸: "数理生態学への招待:生命の物理学的理解をめざして.『数理生態学』(巌佐 庸編)シリーズ:ニューバイオフィジックス第10巻" 共立出版(印刷中), (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Abe, T.: "Biodiversity and Ecological Perspective" Springer, 294 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 松田 裕之: "『共生』とは何か一搾取と競争をこえた生物どうしの第三の関係" 現代書館, 230 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Aoki, K.: "Traveling wave solutions for the spread of farmers into a region occupied by hunter-gatherers." Theor.Population Biology. 50. 1-17 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kohyama, T.: "A size-distribution-based model of forest dynamics over a thermal gradient along latitude" Vegetatio. 121. 117-126 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Nakajima, H.: "Indirect Effects in Ecological Interaction Networks II.The Conjugate Variable Approach." Mathematical Biosciences. 130. 129-150 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Shigesada, N.: "Modeling Stratified Diffusion in Biological Invasions" American Naturalist. 146. 229-251 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Kubo, T.: "Forest spatial dynamics with gap expansion : total gap area and gap size distribution." Journal of theoretical Biology. 180. 229-246 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Harada, Y.: "Analyzes of spatial patterns and population processes of clonal plants." Researches on Population Ecology. (in press). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Matsuda, H.: "Impacts per unit weight in catch by two types of fisheries on a chub mackerel population." Researches on Population Ecology. 38 (2). 219-224 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takada, T.: "The optimal allocation to seed reproduction and vegetative reproduction in perennial plants.--- An application of the density-dependent transition matrix model." Journal of Theoretical Biology. 182b. 179-191 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Giho, H.: "Transition matrix modelling on disturbance-controlled persistence of plant population." Ecol.Modelling. 94. 201-214 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Takasu, F.: "Modeling Arms Race in Avian Brood Parasitism." Evolutionary Ecology. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Higashi, M.: Global diversification of termites driven by the evolution of symbiosis and sociality. In : Biodiversity : and Ecological Perspective (ed.by Abe, T., Levin, S.A.& Higashi, M.). Springer, New York., 84-112 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Shigesada, N.: Biological Invasions : theory and practice. Oxford Series in Ecology and Evolution.Oxford Univ.Press., 205 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Abe, T.(ed): Biodiversity : and Ecological Perspective.Springer, New York., (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Hiroyuki, M.: What is mutuaslism. (in Japanese). Gendaishokan, 230 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] Aoki,K.: "Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers." Theor.Population Biology. 50. 1-17 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Kohyama,T.: "A size-distribution-based model of forest dynamics over a thermal gradient along latitude." Vegetatio. 121. 117-126 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Nakajima,H.: "Indirect Effects in Ecological Interaction Networks II.The Conjugate Variable Approach." Mathematical Biocsiences. 130. 129-150 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Shigesada,N.: "Modeling Stratified Diffusion in Biological Invasions." American Naturalist. 146. 229-251 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Kubo,T.: "Forest spatial dynamics with gap expansion:total gap area and gap size distribution." Journal of theoretical Biology. 180. 229-246 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] Higashi,M.: "Indirect effects in ecological interaction networks I.The chain rule approach" Mathematical Biocsiences. 130. 99-128 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Harada,Y.: "Analyses of spatial patterns and population processes of clonal plants." Researches on Population Ecology. (in press).

    • Related Report
      1996 Annual Research Report
  • [Publications] Matsuda,H.: "Impacts per unit weight in catch by two types of fisheries on a chub mackerel population." Researches on Population Ecology. 38(2). 219-224 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] Takada,T.: "The optimal allocation to seed reproduction and vegetative reproduction in perennial plants." Journal of Theoretical Biology. 182b. 179-191 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 原田泰志: "水産資源生物の管理と生態に関する数理学的研究" 日本水産学会誌. 61. 477-480 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] Giho,H.: "Transition matrix modelling on disturbance-controlled persistence of plant population." Ecol.Modelling. 94. 201-214 (1997)

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

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

    • Related Report
      1996 Annual Research Report
  • [Publications] 巌佐庸: "数理生態学への招待:生命の物理学的理解をめざして.「数理生態学」(巌佐庸編)シリーズ:ニューバイオフィジックス第10巻" 共立出版(印刷中), (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] Abe,T.: "Biodiversity and Ecological Perspective" Springer, 294 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 松田裕之: "「共生」とは何か-搾取と競争をこえた生物どうしの第三の関係" 現代書館, 230 (1995)

    • Related Report
      1996 Annual Research Report
  • [Publications] N.Shigesada: "Modeling Stratified Diffusion in Biological Invasions." American Naturalist. 146. 229-251 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] I.Tayasua: "Predator-mediated coexistence of epiphtyic grass shrimps that compete for refuges." Ecological Modelling. 84. 1-11 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Koyama: "A size-distribution-based model of forest dynamics over a thermal gradient along latitude." Vegetatio. (in press).

    • Related Report
      1995 Annual Research Report
  • [Publications] K.Aoki: "Travelling wave solutions for the spread of farmers into a region occupied by hunter-gatherers" Theoretical Population Biology. (in press).

    • Related Report
      1995 Annual Research Report
  • [Publications] N.Yamamura: "Optimal strategy of plant antiherbivore defense:Implication for apparency and resource availability theories." Ecological Research. 10. 19-30 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] N.Yamamura: "Compromised strategy resolves intersexual conflict over precopulatory mate guarding duration." Evolutionary Ecology. (in press).

    • Related Report
      1995 Annual Research Report
  • [Publications] Higashi,M: "Indirect effects in ecological interactionnetworks(I):" MathematicalBioscience. 130. 99-128 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Nakajima,H: "Indirect effects in ecological interaction networks(II) refuges." Mathematical Bioscience. 130. 129-150 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Patten,B.C.: "Firstf passage flows in ecological networks:measurement by input-output flow analysis" Ecological Modelling. 79. 67-74 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Iwasa,Y.: "Forest gap dynamics with partically synchronized disturbances and gap age distribution" Ecological Modelling. 77. 57-271 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Iwasa,Y.: "Coupling of fermentation and foraging strategies of herbivorous mammals" Journal of theoretical Biology. 172. 1-11 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Iwasa,Y.: "Continual change in mate preferences" Nature. 377. 420-422 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Matsuda,H.: "Plant-Herbivore Interactions and Theory of Coevolution" Plant Species Biology. 9(3). 155-162 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Matsuda,H.: "Runaway evolution to self-extinction under asymmetric competition" Evolution. 48. 1764-1772 (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] Takada,T.: "Evolution of semelparous and iteroparous perennial plants." Journal of Theoretical Biology. 173. 51-60 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] H.Seno: "Stationary rank-size relation for community of logistically growing groups" Journal of Biological Systems. (in press).

    • Related Report
      1995 Annual Research Report
  • [Publications] Harada,Y.: "Population persistence and spatially limited social interaction." Theoretical Population Biology. 48. 65-91 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] Iwasa,Y.: "Maintenance of forest species divesity and latitudinal gradient" Vegetatio. 121. 127-134. (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 松田裕之: "『共生』とは何か-搾取と競争をこえた生物どうしの第三の関係" 現代書館, 230 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山村則男: "寄生から共生へ-昨日の敵は今日の友" 平凡社, 194 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 巖佐 庸(分担執筆): "婚姻システムの生物学的基礎" 雄山閣出版, 269-293 (1995)

    • Related Report
      1995 Annual Research Report

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

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