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Applications of Pattern Formation in Diffusive Instability Field on Modeling of Clod and Root System Formations

Research Project

Project/Area Number 02806046
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 農業土木
Research InstitutionGrant-in-Aid for Scientific Research (C) (1991)
Hokkaido University (1990)

Principal Investigator

SHIBUSAWA Sakae  Shimane University, Faculty of Agriculture, Associate Professor, 農学部, 助教授 (50149465)

Co-Investigator(Kenkyū-buntansha) 野口 伸  北海道大学, 農学部, 助手 (40228309)
Project Period (FY) 1990 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1991: ¥300,000 (Direct Cost: ¥300,000)
Fiscal Year 1990: ¥1,700,000 (Direct Cost: ¥1,700,000)
Keywordsdiffusion / non-linear pattern formation / L-system / fractal / clods / root system / tillage / パタ-ン形成 / 成長モデル / 亀裂
Research Abstract

Finding general aspects and descriptions of both root system and tilled clod formations is a main issue in this work. This study is a challenge to bio-physically clarifying the behavior of soil-Plant systems such as the plant growth under interactions with environment, and it has been an issue of wide interest in phytotechnology. The objectives of this work were as follows :
1)to confirm that the configurations of both corn root systems and tilled clods are a kind of fractal patterns.
2)to explain the development of soil cracks like elastic materials by the use of pattern formation under diffusive instability in viscoelastic strain field.
3)to produce a branching growth model for a root system based upon L systems.
4)to find control parameters of pattern formation on root systems and tilled clods. The results were as follows.
1)Clods of heavy clay formed by rotary tillage showed power-scaling on their contours, cracks, and crack area distribution, and they were confirmed to be fractal patterns. Moreover high-frequency blade vibration was related to crack intervals on the clods.
2)The root system of corn followed anisotropic power distribution like a self-affine fractal.
3)Non-linear coupled diffusion equations including elastic strain and plastic flow terms were proposed for giving expression to viscoelastic behavior of soil, and local accumulation of elastic strain was simulated under diffusive instability.
4)Hierarchical modeling of a corn root system provided a new type of root growth model and broke through a limit of traditional L-system methodology.
5)General aspects of both clod and root system formations such as fractal were derived, and this would provide one avenue for investigators on soil-plant system-dynamics.

Report

(3 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • Research Products

    (28 results)

All Other

All Publications (28 results)

  • [Publications] 澁澤 栄: "ロ-タリ耕うんにおける土塊形成と歪場の拡散不安定" テラメカニックス. 10. 1-7 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "ロ-タルリうんの砕土作用(第6報)耕うんづめの振動と亀裂発生間隔" 農業機械学会北海道支部会報. 31. 15-19 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "ロ-タリ耕うんの砕土作用(第7報)耕うんづめの受けるシステム集合" 農業機械学会北海道支部会報. 31. 20-26 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "トウモロコシ根系分布のべき法則とLシステムによるシミュレ-ション" 農業機械学会北海道支部会報. 31. 27-31 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Fractals in cloods formed with rotary tillage" Proceedings of 10th International Conference of the ISIVS.(Journal of Terramechanics). 977-984 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "作物根系のベき分布とLシステム" テラメカニックス. 11. 73-81 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "Lシステムを利用した作物根系成長モデル" 中国・四国の農業気象. 4. 96-99 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "2次元根系生長モデル" 農業機械学会関西支部報. 71. 29-32 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "土壌密度変化のトウモロコシ根系分布への影響" 農業機械学会誌.

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Analytical approach to clod pattern formation in rotary tillage by using of diffusive instability of strain field" Terramechanics (Japan). 10. 1-7 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Clod pattern formation in rotary tillage (Part 6) -Relation between blade vibrations and crack formation-" Jour. Hokkaido Branch of JSAM (Japanese Society of Agricultural Machinery). 31. 15-19 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Clod pattern formation in rotary tillage (Part 7) -System sets of tillage resistance acting on blade-" Jour. Hokkaido Branch of JSAM. 31. 15-19 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Power-law scaling of corn distribution and simulation of the roots pattern by L-system" Jour. Hokkaido Branch of JSAM. 31. 20-26 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Fractals in clods formed with rotary tillage" Proceedings of 10th International Conference of the ISTVS. 977-984 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Power distribution crop roots and L systems for the roots pattern" Terramechanics (Japan). 11. 73-81 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "A root growth model by means of L systems" Agricultural Meteorology of Chugoku and Shikoku. 4. 96-99 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "A model of root system in 2-dimension" Jour. Kansai Branch of JSAM. 71. 29-32 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Sakae SHIBUSAWA: "Impacts of soil density change on corn roots distribution" Jour. JSAM.

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 澁澤 栄: "作物根系のべき分布とLシステム" テラメカニックス. 11. 73-81 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 澁澤 栄: "Lシステムを利用した作物根系生長モデル" 中国・四国の農業気象. 4. 96-99 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 澁澤 栄: "2次元根系生長モデル" 農業機械学会関西支部報. 71. 29-32 (1992)

    • Related Report
      1991 Annual Research Report
  • [Publications] 澁澤 栄: "土壌密度変化のトウモロコシ根系分布への影響" 農業機械学会誌.

    • Related Report
      1991 Annual Research Report
  • [Publications] Sakae SHIBUSAWA: "Fkactals in clods formed with kotaxy tillage" Jouknal of Tekkamechanics.

    • Related Report
      1991 Annual Research Report
  • [Publications] 渋沢 栄,安原 学,寺尾 日出男: "ロ-タリ耕うんの砕土作用(第6報)耕うんづめの振動と亀裂発生間隔" 農業機械学会北海道支部会報. 31. 15-19 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 渋沢 栄,安原 学,寺尾 日出男: "ロ-タリ耕うんの砕土作用(第7報)耕うんづめの受ける抵抗のシステム集合" 農業機械学会北海道支部会報. 31. 20-26 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 渋沢 栄,鈴井 格仁,寺尾 日出男: "トウモロコシ根系分布のべき法則とLシテムによるシミュレ-ション" 農業機械学会北海道支部会報. 31. 27-31 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 渋沢 栄: "ロ-タリ耕うんにおける土塊形成と歪場の拡散不安定" テラメカニックス. 10. 1-7 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 渋沢 栄: "作物根系のべき分布とLシステム" テラメカニックス. 11. (1991)

    • Related Report
      1990 Annual Research Report

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Published: 1990-04-01   Modified: 2016-04-21  

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