Abstract: From the Fokker-Planck equations derived in this paper for 2-dimensional linear and non-linear stochastic and dynamic models, analystic solutions and function of climatic potential are obtained and applied in a stochastic analysis of temperature variations in Guangdong Province and Southern Oscillations. Computation shows that the linear model clearly reflects the feedback relationship between them while the non-li near model indicates a more rational tendency for stable equilibrium between them that is made possible by nonlinearity.