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Some statistical properties of gene trees are described for a model wi
th background deleterious mutations. It is argued that the history of
a small sample of genes under this model is a continuous time Markov c
hain that quickly reaches stationarity. This observation leads to simp
le expressions for the expected nucleotide diversity and suggests that
the frequency spectrum in small samples should be approximately the s
ame as under a strict neutral model. The results concerning expected n
ucleotide diversity are compared with observed variation on the third
chromosome of Drosophila melanogaster.