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Lognormal distribution and power law behavior on self-similar tree branching structure

Research Project

Project/Area Number 25891001
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeSingle-year Grants
Research Field Ecology/Environment
Research InstitutionObihiro University of Agriculture and Veterinary Medicine

Principal Investigator

KOYAMA Kohei  帯広畜産大学, 畜産学部, 助教 (70709170)

Project Period (FY) 2013-08-30 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywordsフラクタル / 樹木 / ハルニレ
Outline of Final Research Achievements

Simple relationships often characterize complex systems. Lognormal distributions are widely recognized in many fields, including biology, physics, social science, and economics. Despite the fact that a mathematical model of lognormality has long been accepted (“the law of proportionate effect” proposed by Robert Gibrat in 1930), there has been no empirical evidence for this mechanism in biological systems. Our results showed empirically that the sizes of terminal twigs were lognormally distributed on elm tree branches, and that the lognormality was caused by the law of proportionate effects on a self-similar (fractal) branching structure.

Report

(3 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Annual Research Report
  • Research Products

    (4 results)

All 2015 2014

All Presentation (4 results) (of which Invited: 1 results)

  • [Presentation] フラクタル樹形上の「べき分布」と「対数正規分布」の統一的理解2015

    • Author(s)
      小山耕平、山本健
    • Organizer
      第62回日本生態学会大会
    • Place of Presentation
      鹿児島
    • Year and Date
      2015-03-21
    • Related Report
      2014 Annual Research Report
  • [Presentation] 生態学におけるべき乗則の理論2014

    • Author(s)
      小山耕平
    • Organizer
      統計数理研究所公募型研究集会
    • Place of Presentation
      立川
    • Year and Date
      2014-11-13
    • Related Report
      2014 Annual Research Report
    • Invited
  • [Presentation] 樹木のフラクタル性と枝サイズの統計性2014

    • Author(s)
      小山耕平、山本健
    • Organizer
      第61回日本生態学会大会
    • Place of Presentation
      広島国際会議場(広島市)
    • Related Report
      2013 Annual Research Report
  • [Presentation] 樹木内の枝集団におけるサイズ分布2014

    • Author(s)
      小山耕平、山本健
    • Organizer
      日本物理学会第69回年次大会
    • Place of Presentation
      東海大学湘南キャンパス(平塚市)
    • Related Report
      2013 Annual Research Report

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Published: 2013-09-12   Modified: 2019-07-29  

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