Several bivariate probability distributions, generated by different un
derlying dispersal mechanisms, are fitted to the observed frequencies
of an isozyme marker gene using a maximum likelihood approach. The pol
len dispersal data were generated using two experimental populations o
f meadow fescue (Festuca pratensis Huds.), homozygous for different al
lozymes at the (Pgi-2) locus, arranged in a circular donor-acceptor fi
eld design. The contribution of a plant depends on plant position, fec
undity and flowering time, factors which are taken into account when f
itting the different models. Several approximate likelihood-ratio test
s are done between alternative nested models, and a wind threshold mod
el with bimodality in the wind direction is selected. The evolutionari
ly important variances and expectations of gene displacement under the
selected model are calculated. It is also shown that the underlying p
robability distribution is significantly more than exponentially lepto
kurtic. By fitting a distribution of deposition in all three dimension
s to the data, taking into account differences in plant height, separa
te estimates of additional physical parameters are obtained, showing t
hat gravity and vertical random movements are more important than inte
rvening vegetation in limiting pollen dispersal in meadow fescue. Acco
rding to the model, plants with a high seed yield contribute pollen ov
er-proportionally to neighbouring plants.