Simple derivation of the function of genetic information and correction of the proof

The problem of predicting time to extinction in stochastics population models is approached in two ways. First, a finite Markov chain approximation is used to give the distribution of time to extinction and shown to predict simulation results accurately. Second, an approximate numerical integration technique is found to give good relative predictions of persistence using much less computer time. The relevance of the two approaches to real problems is discussed.