The notion of minimum distance or why rare species are clumped.

The prevalence of statistical clumping in natural populations can sometimes obscure mutual avoidance behavior and the adaptive role of spacing out among population members. The problem is particularly severe in rare species where the inverse square relationship between expected nearest neighbor distance and population density demands mean distances between individuals be excessively large to maintain randomness or overdispersion. Realistically, individuals dispersing from a central nucleus might be expected to establish a minimum distance from neighbors to obtain a substantial gain in fitness but further dispersal would be undesirable due to increasing costs and decreasing gains. The result would be higher clumping at low densities. Data on clumping of rare species in an oak-cynipid gall wasp complex are interpreted in the context of the minimum distance notion, and the influence of parasitism on cynipid host population dispersion is discussed.