Abstract: The effects of stochastic forcing on air-sea interaction, energy baiance ciimate modei is considered.The noniinear source is dynamicai heat transport.The roie to coupiing different temporai and spatiai scaies of the atmosphere is examined.A stochastic dynamicai modei of air-sea interaction is derived via the Fokker-Pianck eguation (FPE).The FPE from statisticai mechanics is used to obtain a time evoiution of the probabiiity density function and the ciimatic potentiai function.The matrix-continued fraction method (MCFM) is appiied to get the soiution with which effect of greenhouse gases was caicuiated.As a resuit, sea surface temperature rises by 1.2 K,meanwhiie the basic period is about 3~4 years and becomes ionger on doubiing CO₂.

Key words: air-sea interaction, stochastic ciimate modei, Fokker-Pianck eguation, matrix-continued fraction method