TY - JOUR
T1 - Modeling and inference of forest coverage ratio using zero-one inflated distributions with spatial dependence
AU - Nishii, Ryuei
AU - Tanaka, Shojiro
N1 - Funding Information:
Acknowledgments We are indebted to Professor H. Kishino of The University of Tokyo, Japan, for calling our attention to the modeling based on neighbors’ covariates for trinomial distributions. The authors are also thankful to the editor and four reviewers for the careful readings. Their valuable comments led to a much better revision, especially, in the numerical comparison using R library gamlss. This work was partially supported by a Ministry of Education, Science, Sports and Culture, Grant-in-Aid for Scientific Research (B) 19300096.
PY - 2013/6
Y1 - 2013/6
N2 - This paper explores statistical modeling of forest area with two covariates. The forest coverage ratio of grid-cell data was modeled by taking human population density and relief energy into account. The likelihood of the forest ratios was decomposed into the product of two likelihoods. The first likelihood was due to trinomial logistic distributions on three categories: the forest ratios take zero, or one, or values between zero and one. The second one was due to a logistic-normal regression model for the ratios between zero and one. This model was applied to real grid-cell data and it fit better than zero-inflated beta regression models.
AB - This paper explores statistical modeling of forest area with two covariates. The forest coverage ratio of grid-cell data was modeled by taking human population density and relief energy into account. The likelihood of the forest ratios was decomposed into the product of two likelihoods. The first likelihood was due to trinomial logistic distributions on three categories: the forest ratios take zero, or one, or values between zero and one. The second one was due to a logistic-normal regression model for the ratios between zero and one. This model was applied to real grid-cell data and it fit better than zero-inflated beta regression models.
UR - http://www.scopus.com/inward/record.url?scp=84878414730&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84878414730&partnerID=8YFLogxK
U2 - 10.1007/s10651-012-0227-y
DO - 10.1007/s10651-012-0227-y
M3 - Article
AN - SCOPUS:84878414730
SN - 1352-8505
VL - 20
SP - 315
EP - 336
JO - Environmental and Ecological Statistics
JF - Environmental and Ecological Statistics
IS - 2
ER -