I am doing a calibration of UK's development using unified growth theory. My formula for population growth is:
$n = [(\gamma-\lambda)^\alpha]*[(\mu * A^\epsilon)/((\delta * M^\phi)^\alpha * L^{(1-\alpha)})]$
where $A$ and $M$ are totalfactorproductivity in the agricultural and manufacturing sector, respectively and $L$ is population. (All values are in the same period)
I have caculated population growth from 1870-2010, but I need to calculate population change, $n$, from 275-1871. How do I change the formula, thus I can calculate growth backwards
Any help will be greatly appreciated! Thank you