S;Ve study the fluctuations and correlations in a stochastic age-structured
population model. Our model, which is closely related to certain "bit-stri
ng" models of evolution, incorporates survival probabilities that are densi
ty dependent, and also allows for varying reproductive probabilities as a f
unction of age. We first solve for the simple steady-state of the determini
stic version of our model, where all fluctuations and correlations are negl
ected. We then develop analytic techniques to calculate stochastic Gaussian
corrections around this deterministic solution. This allows for a systemat
ic, perturbative calculation of the population fluctuations and correlation
s. Away from the bifurcation point of the deterministic model we find good
agreement with Monte-Carlo simulations.