Problem ER11

A population of spotted deer (Dama variegatus) is driven by environmental stochasticity only. Its median finite rate of increase is $\lambda$ = 1.03 while the demographic variance $\sigma_\varepsilon^2$ (namely the variance of the logarithm of the multiplicative noise that influences the population abundance) is 0.025. In 2015, 210 deer have been counted. How will the population abundance be distributed in 2025 if the growth is Malthusian?