MATLAB: Receiving error vectors must be the same length when trying to plot.

Question

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')

Answer 1

T is 1x1 because none of your if statements are ever true. You want

if t <= 144
    %do things
elseif t > 144 && t <= 358 
    %do different things
elseif t > 358
    %do other, different things
end