A genetic metapopulation model for reef fishes in oceanic islands: The case of the surgeonfish, Acanthurus triostegus

Allozyme data on a surgeonfish, Acanthurus triostegus, were analysed from 10 islands in French Polynesia. We compared estimates of gene flow according to the hypothesis of an equilibrium between genetic drift and migration, and estimated genetic divergence times assuming complete genetic isolation without gene how since foundation. The significant correlation between genetic divergence and geographic distance, at the within-archipelago level (r = 0.709, P = 0.024) indicates exchange of individuals mainly between neighbouring populations. The correlation was, however, not significant at the among-archipelagoes level (r = 0.325, P = 0.330), suggesting that long distance migrations are more sporadic. This addresses the problem of scale in population biology. According to the spatial scale of analysis, results can change from an island model, with no relation between genetic differentiation and geographical distances between archipelagos, to an isolation-by-distance model within an archipelago. These factors lead us to propose a ''patchy population'' model, in which all patches are occupied and reproductively active, though with few successful migrations between neighbouring populations. This model describes a subdivided population that is stable through time, with an amount of gene flow small enough to allow significant local differentiation in neutral gene frequency, but high enough to prevent differential fixation in the long term, and therefore preserving the genetic cohesion of the species.