The aspects of change of a social welfare function in the process of forest trasition

  • Ejiri Y
    Faculty of Liberal Arts, Iwaki Meisei University

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  • 森林の遷移過程における社会的厚生関数の形状変化
  • シンリン ノ センイ カテイ ニ オケル シャカイテキ コウセイ カンスウ ノ ケイジョウ ヘンカ

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Abstract

A social welfare function was defined as a function of two variables: the public utility of forests and the national income. Changes in the function with a chan0 in rotation were examined when subsidies were granted to each stand in proportion to its public utility under a balanced budget. The decrease in the national income caused by the dynamic compound multi-sector multiplier effects of the subsidization were calculated independently with a difference equation using input-output tables. Three-dimensional diagrams were constructed to represent the change in the felling-age, the total public utility of all forests, the total amount of subsidies, the national income, and the social welfare function, on the assumption that every producer converted the forest rotation to maximize the annual net revenue in the final equilibrium state. Aspects of the change in this function were contemplated using these diagrams. The following conclusions were made. Initially, the social welfare decreases, but it exceeds the present level after 140 years, and attains a semi-permanent practical equilibrium state after 6080 years, when subsidies are granted to maximize the social welfare in the equilibrium state.

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