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Probability Estimation of Snow Damage on Sugi (Cryptomeria japonica) Forest Stands by Logistic Regression Model in Toyama Prefecture, Japan

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In this paper, we apply a logistic regression model to the data of snow damage on sugi (Cryptomeria japonica) occurred in Toyama prefecture (in Japan) in 2004 for estimating the risk probability. In order to specify the factors effecting snow damage, we apply a model selection procedure determining optimal subset of explanatory variables. In this process we consider the following 3 information criteria, 1) Akaike’s information criterion, 2) Baysian information criterion, 3) Bias-corrected Akaike’s information criterion. For the selected variables, we give a proper interpretation from the viewpoint of natural disaster.

Abstract

In this paper, we apply a logistic regression model to the data of snow damage on sugi (Cryptomeria japonica) occurred in Toyama prefecture (in Japan) in 2004 for estimating the risk probability. In order to specify the factors effecting snow damage, we apply a model selection procedure determining optimal subset of explanatory variables. In this process we consider the following 3 information criteria, 1) Akaike’s information criterion, 2) Baysian information criterion, 3) Bias-corrected Akaike’s information criterion. For the selected variables, we give a proper interpretation from the viewpoint of natural disaster.

참고문헌 (8)

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  2. Beven, K., "Topmodel: A critique", Hydrogical Process, 11, pp.1069~1085 (1997)
  3. Kato, A., "Relation between snow damage and geographic factor in Japanese cedar stands in Toyama Prefecture", FORMATH, 6, pp.77~88 (2006)
  4. Kullback, S., "On information and sufficiency", Ann. Math. Statist, 22, pp.79~86 (1951)
  5. McCullagh, P., "Generalized linear models, 2nd edition" (1989), Chapman & Hall
  6. Moore, I. D., "Soil attribute predicting using terrain analysis", Soil Science Society of America J, 57, pp.443~452 (1993)
  7. Schwarz, G., "Estimating the dimension of a model", Ann. Statist, 6, pp.461~464 (1978)
  8. Yanagihara, H., "Bias correction of AIC in logistic regression models", J. Statist. Plann. Inference, 115, pp.349~360 (2003)

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