Two-Generation Analysis of Pollen Flow Across a Landscape. II. Relation Between _ft, Pollen Dispersal and Interfemale Distance

Corresponding author: Frédéric Austerlitz, Laboratoire de Génétique et d'Amélioration des Arbres Forestiers, INRA--Domaine de l'Hermitage, B. P. 45, Pierroton, F-33611 Cestas Cedex, France., austerli{at}pierroton.inra.fr (E-mail)

Communicating editor: M. A. ASMUSSEN

We study the behavior of _ft, a recently introduced estimator of instantaneous pollen flow, which is basically the intraclass correlation of inferred pollen cloud genetic frequencies among a sample of females drawn from a single population. Using standard theories of identity by descent and spatial processes, we show that _ft depends on the average distance of pollen dispersal () and on the average distance between sampled mothers (). Provided that mothers are sampled far enough apart ( > 5), _ft becomes independent of and is then inversely proportional to the square of . Provided that this condition is fulfilled, is directly estimable from _ft. Even when < 5, estimation can easily be achieved via numerical evaluation. We show that the relation between _ft and is only modestly affected by the shape of the distribution function, a result of importance, since this shape is generally unknown. We also study the impact of adult density within the population on _ft, showing that to achieve the correct inference of from _ft it must be taken into account, but that it has no effect on the distance at which mothers must be sampled.

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