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I'm trying to model Earth's surface temperature with the radiative forcing of CO2 changing through time. For years 1600-1744 (i called them 1:144 interms of t in my code) [CO2]is constant, in 1745-1953 (145:358 interms of t in my code) [C02] is increasing by 0.068%/year, in 1954-2100 (359:500 in terms of t in my code) [CO2] is increasing by 0.4%. I have a function that I'm referencing which calculates the change in atmospheric emissivity redulting from the change in [CO2].
my function I'm referencing:
function e = eps_atm(CO2)
e = 0.8*(1+(0.0541*log(CO2/280)));
end
%% CO2 variation Climate Model %%
%set up constants
so = 1360; %units = W/m2
albedo = 0.3; %units = none
sigma = 5.67*10^-8; %units = W/((m^2)*(K^4))
p = 997; %units = kg/m^3
cw= 4181; %units = J/(kg*K)
h = 100; %units = m3
a = 0.0514; %units = none
co2 = 280; %units = none
deltat = 31556700; %units = seconds
nsteps = 500; %nsteps from i.c.
T(1) = 250; %units = K
for t = 1:nsteps
hold on;
if t == 1:144
T(t+1)= (((1+eps_atm(280)/2)*((so*(1-albedo))/4)-(sigma*T(t)^4))/(p*cw*h))*deltat+T(t);
elseif t == 145:358
T(t+1)= (((1+eps_atm(280*(1+0.00068*((t)-143)))/2)*((so*(1-albedo))/4)-(sigma*T(t)^4))/(p*cw*h))*deltat+T(t);
elseif t == 359:500
T(t+1)= (((1+eps_atm(280*(1+0.004*((t)-357)))/2)*((so*(1-albedo))/4)-(sigma*T(t)^4))/(p*cw*h))*deltat+T(t);
end
end
figure(1)
hold on;
time = [1:nsteps+1]*deltat;
plot(time/31556700, T,'x')
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