Statistical frameworking of deforestation models based on human population density and relief energy

Ryuei Nishii; Daiki Miyata; Shojiro Tanaka

doi:10.1117/12.974583

25 October 2012 Statistical frameworking of deforestation models based on human population density and relief energy

Ryuei Nishii, Daiki Miyata, Shojiro Tanaka

Proceedings Volume 8538, Earth Resources and Environmental Remote Sensing/GIS Applications III; 85380K (2012) https://doi.org/10.1117/12.974583
Event: SPIE Remote Sensing, 2012, Edinburgh, United Kingdom

Abstract

This paper establishes a statistical framework of forest coverage models for spatio-temporal data. The forest coverage ratio of grid-cell data is modeled by taking human population density and relief energy as explanatory variables. The likelihood of the forest ratios is decomposed by the product of two likelihoods. The first likelihood discussed by Nishii and Tanaka (2010) is due to trinomial logistic distributions on three categories: the ratios take zero, one, or values between zero and one. We consider a precise modeling to the second likelihood for partlydeforested ratios by considering a) spline functions to the additive mean structure, b) wide spatial dependency of normal error terms, and c) an extended logistic type transform to the forest ratio. For spatio-temporal data, we implement auto-regressive terms based on the ratios observed in past. The proposed model was applied to real grid-cell data and resulted significant improvement compared to our previous model.

Citation Download Citation

Ryuei Nishii, Daiki Miyata, and Shojiro Tanaka "Statistical frameworking of deforestation models based on human population density and relief energy", Proc. SPIE 8538, Earth Resources and Environmental Remote Sensing/GIS Applications III, 85380K (25 October 2012); https://doi.org/10.1117/12.974583

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