Simple energy balance climate models C T(x,t) SW solar radiation-infrared cooling 8t -divergence of heat flux sin o,where o is latitude. Atmosphere solar radiation =Qs(x)A(T) s(x)-latitudinal distribution of SW,whose integral from 动力输送 the equator to pole is unity cOT(,t)=Qs()A(T)-I(T)+F(T) Ot In equilibrium, Surface Qs(x)A(T)-I(T)+F(T)-0 授课教师：张洋8
授课教师：张洋 8 Simple energy balance climate models Atmosphere Surface SW LW 动⼒输送 s(x) latitudinal distribution of SW, whose integral from the equator to pole is unity solar radiation = Qs(x)A(T) x = sin , where is latitude. C @T(x, t) @t = solar radiation infrared cooling divergence of heat flux In equilibrium, Qs(x)A(T) I(T) + F(T)=0 C @T(x, t) @t = Qs(x)A(T) I(T) + F(T)
Simple energy balance climate models In equilibrium, SW Qs(x)A(T)-I(T)+F(T)=0 ↓企 The snow line case: Atmosphere Made assumptions below: Planetary albedo is assumed to depend primarily on snow /ice cover; 动力输送 Surface A(T)= a, for T<Tsnow or B, for T>Tsnow 授课教师：张洋9
授课教师：张洋 9 Simple energy balance climate models Atmosphere Surface SW LW 动⼒输送 In equilibrium, Qs(x)A(T) I(T) + F(T)=0 The snow line case: n Made assumptions below: n Planetary albedo is assumed to depend primarily on snow /ice cover; A(T) = ↵, for T <Tsnow or = , for T >Tsnow