Chemical Mass Balance by Functional Relationship Analysis

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  • Kashiwagi Nobuhisa
    The Institute of Statistical Mathematics
  • Sasaki Yuko
    The Tokyo Metropolitan Research Institute for Environmental Protection
  • Iimura Fuminari
    The Tokyo Metropolitan Research Institute for Environmental Protection
  • Ando Haruo
    The Tokyo Metropolitan Research Institute for Environmental Protection

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Other Title
  • 関数関係解析によるＣｈｅｍｉｃａｌ　Ｍａｓｓ　Ｂａｌａｎｃｅ
  • カンスウ カンケイ カイセキ ニ ヨル Chemical Mass Balance

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Abstract

Various mathematical models have been developed to reveal the influence of pollution sources on natural environment. Among them, this paper states Chemical Mass Balance (CMB), which is a model to estimate source contribution rates based on the mass balance between certain materials at sources and those at a receptor site. As its solution, linear least-squares technique, that is, multiple regression has been widely used. The compositions of materials observed at sources and at a receptor site are assumed for independent and dependent variables, respectively. However, the observations at sources involve irregular variation as same as in that at a receptor site. Multiple regression cannot deal with such irregular variation. Other than this problem, existing methods involve several problems. To solve those problems, this paper proposes two kinds of functional relationship models for CMB. One is a model based on the mass, and another is a model based on the proportion. The use of multinomial and scaled Dirichlet distributions is also proposed to define the covariance structure in the later model. Finally, the proposed models are applied to actual dioxins data.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 31 (1), 59-74, 2002

    Japanese Society of Applied Statistics

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