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A Study on the Estimation Method of Extreme Wave Height Taking Sea State Persistence into Account

Research Project

Project/Area Number 07680491
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Natural disaster science
Research InstitutionEhime University

Principal Investigator

HATADA Yoshio  Ehime Univ., Engineering, Research Assist., 工学部, 助手 (00164848)

Co-Investigator(Kenkyū-buntansha) YAMAGUCHI Masataka  Ehime Univ., Engineering, Professor, 工学部, 教授 (60027266)
Project Period (FY) 1995 – 1996
Project Status Completed (Fiscal Year 1996)
Budget Amount *help
¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1996: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 1995: ¥1,400,000 (Direct Cost: ¥1,400,000)
Keywordshigh waves and strong winds / duration of waves and winds / long term wave and wind data / peak values of wave height and wind speed / annual occurrence rate of duration / regression models / Monte-Carlo simulation / Weibull distribution / 長期資料分布 / 継続時間発生数 / 母数推定法 / 高波継続時間分布 / 極大波高分布 / 長期波高分布 / 対数線形回帰モデル / 確率波高推定法 / 長期波高スペクトル / 長期波高観測資料
Research Abstract

Not only extremes of wave height and wind speed but also persistences of wave height and wind speed above a threshold value are important factors to be considered in design of coastal structures and planning of coastal defense works, but few attempts have been conducted because of lack of long term data with good quality. In this study, detail statistical analyzes have carried out for the long term data of wave height and wind speed gathered at many observation points around the coasts of Japan and the surrounding sea area. Regression models, in which independent variables are the dimensionless variance of the wave height or wind speed data and its dimensionless threshold value, are proposed for the estimation of probability distribution of long term wave height or wind speed and probability distributions of its persistence above a threshold and peak value during the duration period. Return period of high waves or strong winds with duration above a threshold, where these values are prescribed is evaluated with the combination of the above-mentioned three regression models. Next, an investigation has been made to find what kind of fitting method is preferable for the parameter estimation of a probability distribution to obtain a reliable estimate of statistics and how the sampling variability could be evaluated. The study uses 8 kinds of theoretical probability distribution including the Weibull and Gumbel distributions and 4 kinds of parameter estimation methods such as the probability weighted moment method and maximum likelihood method. Based on the statistical analysis with use of 3 or 4 methods for data generated by a Monte-Carlo simulation technique, the optimum method to be used for parameter estimation was determined for each distibution from the view points of minimizing bias and variance of statistics. Also applicability of the jackknife method and information matrix method to the estimation of variance of statistics were verified.

Report

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

    (23 results)

All Other

All Publications (23 results)

  • [Publications] 山口正隆: "波高の極値統計解析における母数推定法の比較" 海岸工学論文集. 42. 231-235 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "波の継続時間を考慮した波高の極値推定法の一般化" 海岸工学論文集. 42. 236-240 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "長期浅海波浪推算システムの適用性の検討" 海岸工学論文集. 42. 331-335 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "波高の極値統計解析システムとその適用" 愛媛大学工学部紀要. 15. 301-317 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "最小2乗法に基づく極値統計解析システムの精度の検討" 海岸工学論文集. 43. 231-235 (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi: "Intercomparison of parameter estimation methods in extremal wave analysis" 1(in printing). Proc.of 25th ICCE. (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "継続時間を考慮した強風の再現期間推定法" 愛媛大学工学部紀要. 16. 373-386 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "波高の極値統計解析モデルの精度の検討" 愛媛大学工学部紀要. 16. 387-400 (1997)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Hatada, Y.Nakamura and Y.Ohki: "Comparison of Parameter Estimation Methods in Extreme Wave Analysis" Pro.of Coastal Eng.in Japan. Vol.42. 231-235 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, M.Ohfuku and Y.Hatada: "Generalization of a Regression Model for the Estimation of a Return Wave Height Taking Sea State Persistence into Account" Proc.of Coastal Eng.in Japan. Vol.42. 236-240 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Hatada and S.Ohsako: "Applicability of a Long Term Wave Hindcast System in Shallow Water" Proc.of Coastal Eng.in Japan. Vol.42. 331-335 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Hatada and M.Ohfuku: "A Regression Model for Estimating Return Period of Strong Winds With Duration of Wind Speed above a Threshold" Memoirs of the Faculty of Eng., Ehime Univ.Vol.16. 373-386 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Nakamura and Y.Ohki: "A System for Extreme Wave Analysis and its Application" Memoirs of the Faculty of Eng., Ehime Univ.Vol.15. 301-317 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Ohki and T.Maekawa: "A Study on Accuracy of Extremal Wave Analysis System Based on the Least Square Method" Proc.of Coastal Eng.in Japan. Vol.43. 231-235 (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi: "Intercomparison of Parameter Estimation Methods in Extremal Wave Analysis" Proc.of 25th ICCE. Vol.1 (in printing). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] M.Yamaguchi, Y.Ohki and Y.Nakamura: "Investigation of Accuracy of Extreme Wave Analysis Method Based on Numerically Simmulated Data" Memoirs of the Faculty of Eng., Ehime Univ.Vol.16. 387-400 (1997)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1996 Final Research Report Summary
  • [Publications] 山口正隆: "波高の極値統計解析システムとその適用" 愛媛大学工学部紀要. 15. 301-317 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山口正隆: "最小2乗法に基づく極値統計解析システムの精度の検討" 海岸工学論文集. 43. 231-235 (1996)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山口正隆: "継続時間を考慮した強風の再現期間推定法" 愛媛大学工学部紀要. 16. 373-386 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山口正隆: "波高の極値統計解析モデルの精度の検討" 愛媛大学工学部紀要. 16. 387-400 (1997)

    • Related Report
      1996 Annual Research Report
  • [Publications] 山口正隆: "波の継続時間を考慮した波高の極値推定法の一般化" 海岸工学論文集. 42. 236-240 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山口正隆: "波高の極値統計解析における母数推定法の比較" 海岸工学論文集. 42. 231-235 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] 山口正隆: "長期浅海波浪推算システムの適用性の検討" 海岸工学論文集. 42. 331-335 (1995)

    • Related Report
      1995 Annual Research Report

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Published: 1995-04-01   Modified: 2016-04-21  

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