Positive Mathematical Programming for Farm Planning: Review

JARQ : Japan Agricultural Research Quarterly
ISSN 00213551
書誌レコードID(総合目録DB) AA0068709X
本文フルテキスト
45-03-02.pdf539.4 KB

In the field of farm management and in related multidisciplinary fields such as bio-economic farm modeling and hydro-economic regional modeling, much attention has recently been paid to positive mathematical programming (PMP), primarily because of its ability to exactly reproduce an observed set of endogenous input variables in the model (e.g., an observed land-use pattern for crop productions) as the result of optimization. In mathematical terms, PMP is an inverse problem of quadratic programming (QP), where the objective function is calibrated on the basis of the Kuhn-Tucker conditions for the optimization of the QP model and of a linear programming model that is prepared for the calibration of parameters in the QP model. The two types of optimum conditions derived from the models are combined to obtain linear equations for the calibration of the QP model. However, as is often the case with inverse problems, the equations for the calibration are indefinite because the number of parameters to be calibrated surpasses the number of equations. As a result, various methods have been proposed to solve this so-called “ill-posed” problem. The main objectives of the present paper are to examine how the calibration methods developed in previous PMP models are related to one another and to propose practical procedures for determining which calibration method is the most appropriate from the viewpoint of sensitivity analyses. A simple conceptual framework is proposed to relate the previously developed calibration methods, and it is then applied to exemplify criteria for selecting a calibration method from the viewpoint of simulation results. A new direction in PMP-based farm modeling in which more feasible simulation results can be derived is also discussed.

刊行年月日
作成者 NAKASHIMA Takahiro
著者キーワード

inverse problem

ill-posed problem

calibration selection

feasible simulation result

bio-economic farm model

公開者 Japan International Research Center for Agricultural Sciences
オンライン掲載日
国立情報学研究所メタデータ主題語彙集(資源タイプ) Journal Article
45
3
開始ページ 251
終了ページ 258
DOI 10.6090/jarq.45.251
権利 Japan International Research Center for Agricultural Sciences
言語 eng

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