Mathematical Model on the Effects of Global Climate Change and Decreasing Forest Cover on Seasonal Rainfall

Abstract

This study involves the study of the long-term behaviors of rainfall as it is affected by changes to forest area and the rise in global temperature. Global temperature and forest cover are considered annually while the amount of rainfall are considered seasonally to best capture the effects of severe weather hazards such as drought and puberty. A differential equation model was developed and verified using the mean global temperature annually, forest area, the daily amounts of rainfall. The rise in global temperature as well as the decline in forest area can be, as shown in the seminar, represented by logistic equations. Rainfall is, however, represented as a periodic function; hence, second order differential equation, of which the solution is periodic, is used to represent the rate of change in the amount of rainfall. In addition, by correlation analysis, the predator-prey terms of forest, global temperature and rainfall are presented in the models.

DOI: 10.7176/MTM/9-1-03