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Multivariate varying coefficient model and its application to physical state data of minke whale in the northeast Atlantic Ocean

Research Project

Project/Area Number 16K00048
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Statistical science
Research InstitutionRadiation Effects Research Foundation (2019)
Hiroshima University (2016-2018)

Principal Investigator

Yamamura Mariko  公益財団法人放射線影響研究所, 統計部, 研究員 (60525343)

Co-Investigator(Kenkyū-buntansha) 藤越 康祝  広島大学, 理学研究科, 名誉教授 (40033849)
Project Period (FY) 2016-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords時空間統計解析 / 変化係数モデル / 多変量解析 / 情報量基準 / スパース推定 / 一般化加法モデル / 情報量規準 / 時空間データ解析 / Fused lasso / データの偏り / 区間推定 / 正準相関変化係数モデル / 多次元地理経時データ / 変数選択 / ミンククジラ / 統計数学 / 海洋生態
Outline of Final Research Achievements

We propose how we can analyze spatio-temporal data with multiple response variables by innovating the varying coefficient model in canonical correlation analysis, and to apply the approach where we use a body condition data set from common minke whales in the Northeast Atlantic Ocean provided by Institute of Marine Research in Norway. The estimation results reflect the current situation from the viewpoint of marine environment and ecology, and were reported by the International Whaling Commission. However, since the data are collected in a biased location, the estimation method needs further improvement, and research will continue as a future subject.

Academic Significance and Societal Importance of the Research Achievements

時空間統計分析の新たな手法が提案され,複数の目的変数を用いた推定が可能となった.北大西洋におけるミンククジラの脂肪厚の時空間的な差異を明らかにしたことで,クジラの栄養状態や海洋生態系の状況を緯度と経度で示す位置,年,および季節の効果を交えて把握でき,海洋環境における重要な情報を提供することができた.本研究の推定結果が国際捕鯨委員会での報告会で取り上げられ,各国にミンククジラの生態の様子を伝える一助を担った.

Report

(5 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • 2016 Research-status Report
  • Research Products

    (25 results)

All 2020 2019 2018 2016 Other

All Int'l Joint Research (3 results) Journal Article (8 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 7 results,  Open Access: 2 results,  Acknowledgement Compliant: 1 results) Presentation (13 results) (of which Int'l Joint Research: 4 results,  Invited: 3 results) Book (1 results)

  • [Int'l Joint Research] 国立海洋学研究所(ノルウェー)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] 国立海洋学研究所(ノルウェー)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Institute of Marine Research(ノルウェー)

    • Related Report
      2016 Research-status Report
  • [Journal Article] A consistent variable selection method in high-dimensional canonical discriminant analysis2020

    • Author(s)
      Oda Ryoya、Suzuki Yuya、Yanagihara Hirokazu、Fujikoshi Yasunori
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 175 Pages: 104561-104561

    • DOI

      10.1016/j.jmva.2019.104561

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A fast algorithm for optimizing ridge parameters in a generalized ridge regression by minimizing a model selection criterion2020

    • Author(s)
      Ohishi Mineaki、Yanagihara Hirokazu、Fujikoshi Yasunori
    • Journal Title

      Journal of Statistical Planning and Inference

      Volume: 204 Pages: 187-205

    • DOI

      10.1016/j.jspi.2019.04.010

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Computable Error Bounds for Asymptotic Approximations of the Quadratic Discriminant Function2020

    • Author(s)
      Fujikoshi Yasunori
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 19-06 Pages: 1-16

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A Fast Optimization Method for Additive Model via Partial Generalized Ridge Regression2020

    • Author(s)
      Keisuke Fukui, Mineaki Ohishi, Mariko Yamamura, Hirokazu Yanagihara
    • Journal Title

      International Journal of Knowledge-Based and Intelligent Engineering Systems

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Recent development in temporal and geographical variation in body condition of common minke whales (Balaenoptera acutorostrata acutorostrata) in the Northeast Atlantic2019

    • Author(s)
      Hiroko Solvang, Tore Haug, Nils Oien
    • Journal Title

      国際捕鯨委員会科学委員会報告書

      Volume: SC/68A/EM/02 Pages: 1-18

    • Related Report
      2019 Annual Research Report
    • Open Access
  • [Journal Article] Consistency of AIC and BIC in estimating the number of significant components in high-dimensional principal component analysis2018

    • Author(s)
      Zhidong Bai, Kwok Pui Choi, and Yasunori Fujikoshi
    • Journal Title

      The Annals of Statistics

      Volume: 46(3) Pages: 1050-1076

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Asymptotic null and non-null distributions of test statistics for redundancy in high-dimensional canonical correlation analysis2018

    • Author(s)
      Oda Ryoya、Yanagihara Hirokazu、Fujikoshi Yasunori
    • Journal Title

      Random Matrices: Theory and Applications

      Volume: 08 Issue: 01 Pages: 1950001-1950001

    • DOI

      10.1142/s2010326319500011

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Canonical correlation analysis for geographical and chronological responses2016

    • Author(s)
      Mariko Yamamura, Hirokazu Yanagihara, Hiroko Kato Solvang, Nils Oien, Tore Haug
    • Journal Title

      Procedia Computer Science

      Volume: 96 Pages: 1351-1360

    • DOI

      10.1016/j.procs.2016.08.180

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] グラフィカルモデルの選択におけるKOO法の適用2019

    • Author(s)
      櫻井哲朗 藤越康祝
    • Organizer
      統計関連学会連合大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 高次元多変量回帰モデルにおける変数と次元の同時選択法2019

    • Author(s)
      藤越康祝 櫻井哲朗
    • Organizer
      統計関連学会連合大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Recent development in temporal and geographical variation in body condition common minke whales (Balaenoptera acutorostrata acutorostrata) in the Northeast Atlantic2019

    • Author(s)
      Hiroko Solvang, Tore Haug, Nils Oien
    • Organizer
      Report of International Whaling Commission Scientific Committee
    • Related Report
      2019 Annual Research Report
  • [Presentation] 費用効率性評価と粗密な時空間データの分析について2019

    • Author(s)
      山村麻理子
    • Organizer
      サステナビリティ研究センター 第14回研究会・公開講演会
    • Related Report
      2018 Research-status Report
  • [Presentation] The current tendency for temporal and geographical variation in body condition of common minke whales (Balaenoptera acutorostrata acutorostrata) in the Northeast Atlantic2019

    • Author(s)
      Tore Haug
    • Organizer
      International Whaling Commission Scientific Committee
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] ミンククジラの身体データを例とした粗密がある空間データでの Fused Lasso による空間効果の推定2018

    • Author(s)
      福井敬祐, 山村麻理子, 栁原宏和, Solvang Hiroko, Nils Oien, Tore Haug
    • Organizer
      統計関連学会連合大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Estimation of spatiotemporal effects by the fused lasso for densely sampled spatial data using body condition data set from common minke whales2018

    • Author(s)
      Mariko Yamamura
    • Organizer
      International Symposium on Statistical Theory and Methodology for Large Complex Data
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] 多変量回帰分析や判別分析などにおける新たな変数選択法の提案2018

    • Author(s)
      櫻井哲朗, 藤越康祝
    • Organizer
      統計関連学会連合大会
    • Related Report
      2018 Research-status Report
  • [Presentation] 単調欠測データをもつ成長曲線モデルに関するAIC型選択規準2018

    • Author(s)
      八木文香, 瀬尾隆, 藤越康祝
    • Organizer
      統計関連学会連合大会
    • Related Report
      2018 Research-status Report
  • [Presentation] Temporal and geographical variation in body condition of common minke whales Balaenoptera acutorostrata in the Barents Sea2018

    • Author(s)
      Hiroko K. Solvang
    • Organizer
      Kouchi International Seminar
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 生残率・合計特殊出生率の予測値を用いた日本の人口推計2018

    • Author(s)
      坂田悠史
    • Organizer
      日本行動計量学会 岡山地域部会 第67回研究会
    • Related Report
      2017 Research-status Report
  • [Presentation] Canonical correlation analysis for geographical and chronological responses2016

    • Author(s)
      Mariko Yamamura
    • Organizer
      International Symposium on Statistical Analysis for Large Complex Data
    • Place of Presentation
      University of Tsukuba
    • Year and Date
      2016-11-21
    • Related Report
      2016 Research-status Report
  • [Presentation] Canonical correlation analysis for geographical and chronological responses2016

    • Author(s)
      Mariko Yamamura
    • Organizer
      KES-2016 20th International Conference on Knowledge-Based and Intelligent Information & Engineering Systems
    • Place of Presentation
      Park Inn by Radisson, York, UK
    • Year and Date
      2016-09-05
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research / Invited
  • [Book] R・Pythonによる 統計データ科学2020

    • Author(s)
      杉山髙一、藤越康祝
    • Total Pages
      272
    • Publisher
      勉誠出版
    • ISBN
      9784585240112
    • Related Report
      2019 Annual Research Report

URL: 

Published: 2016-04-21   Modified: 2021-02-19  

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