We present a model for the evolutionary dynamics of seed size when there is
a trade-off between seed size and seed number, and seedlings from large se
eds are better competitors and have a higher precompetitive survival than s
eedlings from small seeds. We find that strong competitive asymmetry, high
resource levels, and intermediate harshness of the precompetitive environme
nt favor coexistence of plants with different seed sizes. If the evolution
of seed size is mutation-limited and single mutations have only a small phe
notypic effect, then an initially monomorphic population reaches the final
evolutionarily stable polymorphic state through one or more discrete evolut
ionary branching events. At each such branching event, a given lineage alre
ady present in the population divides into two phenotypically diverging dau
ghter lines, each with its own seed size. If the precompetitive survival of
seeds and seedlings is high for small and large seeds alike, however, evol
utionary branching may be followed by the extinction of one or more lineage
s. Various results presented here are model-independent and point the way t
o a more general evolutionary bifurcation theory describing how the number
and stability properties of evolutionary equilibria may change as a consequ
ence of changes in model parameters. (C) 1999 Academic Press.