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Study on a Stochastic Model of Birth-Death Process of Rain Cells and Rainfall Forecasting

Research Project

Project/Area Number 04650457
Research Category

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

Allocation TypeSingle-year Grants
Research Field Hydraulic engineering
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

SHIBA Michiharu  Kyoto Univ., Faculty of Eng., Assoc.Prof. (Now Prof.), 工学部, 助教授 (90026352)

Co-Investigator(Kenkyū-buntansha) TACHIKAWA Yasuto  Kyoto Univ., Faculty of Eng., Instructor(Now in DPRI,as Assoc.Prof.), 工学部, 助手 (40227088)
HORI Tomoharu  Kyoto Univ., Faculty of Eng., Instructor(Now Assoc.Prof.), 工学部, 助手 (20190225)
TAKASAO Takuma  Kyoto Univ., Faculty of Eng., Assoc.Prof. (Now Emer.Prof.), 工学部, 教授 (30025895)
Project Period (FY) 1992 – 1994
Project Status Completed (Fiscal Year 1994)
Budget Amount *help
¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1993: ¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 1992: ¥1,000,000 (Direct Cost: ¥1,000,000)
Keywordsrain cell / typhoon / rainfall forecasting / meso-beta scale / meso-gamma scale / 確率予測 / 降雨場 / 降率予測 / 確率モデル / レーダ雨量計
Research Abstract

How to analyze and make a model for variation of meso-beta and meso-gamma rainfall area in time and space is important to study flood runoff phenomena in basin-scale. This study investigated the way for separating rain cells, cell clusters, and rain-bands, and tracking them and analyzed stochastic properties those elements.
To analyze the variation properties in time of rain-bands, we got the data observed dy Okinawa Radar Rain gauge most of the observation area of which is over sea. The use of weather rader data is desirable for analtyzing the properties of rain cells, because we need to consider them in the scale of kilometers.
We proposed "rainfall area growth curve analysis" and "tangential valley analysis" to analyze the hierarchy structure of rainfall fields. Rainfall area growth curves are considered around each local maximal points of rainfall intensity, with taking the difference between rainfall intensity at local maximal point and given rainfall intensity in the y axis and squ … More are roof of area where the rainfall intensity is greater than the given rainfall intensity in the x axis. The application of those method told us that the rainfall field can be modeled as the field in which rain cells ride on rain-bands. We separated using tangential valley analysis rain cells and rain-bands, and investigated the distribution of speed of movement and life time of rain cells.
Because it has been known already that rain-bands of typhoon is on logarithmic spirals, we introduced curvilinear two-dimensional coordinates based on logarithmic apirals into rainfall fields and processed the data about rain cells on those curvilinear coodinates. The result of this analysis told us that rain areas in meso-beta scale move along spirals so that they go away off the eye. Within spirals, rain area in meso-beta scale move faster than the beginning and ending points of rain-bands and at ending points of rain-bands new inner rain areas are born and at beginning points of rain-bands inner rain areas die.
Our analysis showed that life time and size of rain areas in meso-gamma scale follow exponential distribution and beta distribution, respectively. The analysis about correlation between meso-gamma scale rain area (Mg) and meso-beta scale rain area (Mb) showed us that 1) the number of Mg in Mb is constant in time, 2) the distribution of distance of Mg's in Mb folows exponential distribution, 3) the birth points of Mg's are uniform in Mb, and 4) the distance of birth points of Mg's from the eye follows exponential distribution. Less

Report

(4 results)
  • 1994 Annual Research Report   Final Research Report Summary
  • 1993 Annual Research Report
  • 1992 Annual Research Report
  • Research Products

    (9 results)

All Other

All Publications (9 results)

  • [Publications] 高棹・椎葉・入江: "台風性降雨場の確率的予測に関する基礎的検討" 土木学会年次学術講演会概要集. 平成6年. 82-83 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 入江・高棹・椎葉: "降雨場の階層構造の解析とそれを用いた予測モデルの開発" 土木学会関西支部年次学術講演会. 平成6年. II-16 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 入江・高棹・椎葉・渡辺: "階層構造を考慮した降雨場の統計的解析" 土木学会年次学術講演会概要集. 平成4年. 538-539 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 高棹・椎葉・渡辺・入江: "階層構造を考慮した降雨場の統計的解析" 土木学会年次学術講演会概要集. 平成4年. II-3 (1992)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Takasao, T., M.Shiiba, and A.Irie: "Basic Investigation of Probabilistic Forecasting of Rainfall Fields of Typhoon" Proc.of Annual Meeting of JSCE. 82-83 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Irie, A., T.Takasao and M.Shiiba: "Analysis of Hierarchical Structure of Rainfall Fields and Development of Rainfall Forecasting" Proc.of Annual Meeting of Kansai Chapter, JSCE. 11-16 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Irie, A., T.Takasao, M.Shiiba, S.Watanabe: "Statistical Analysis of Rainfall Fields Considering Their Hierarchical Structure" Proc.of Annual Meeting of JSCE. 538-539 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] Takasao, T., M.Shiiba, S.Watanabe and A.Irie: "Statistical Analysis of Rainfall Fields Considering Their Hierarchical Structure" Proc.of Annual Meeting of Kansai Chapter, JSCE. II-3 (1992)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1994 Final Research Report Summary
  • [Publications] 高棹 琢馬: "台風性降雨の確率予測に関する基礎的検討" 土木学会第49回年次学術講演会講演概要集. 82-83 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1992-04-01   Modified: 2016-04-21  

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