In this study, we analyse the dynamics of this muskox population. An important focus is to use the theoretical framework presented in Lande et al. (2003) to estimate essential population parameters. We use these estimates to predict future population sizes, illustrating the application of the concept of PPI (Sæther et al. 2000). Finally, we relate annual variation in population growth rates to local climate, in order to quantify the effects of this environmental stochasticity on the long-term growth rate of the population.