We used a modeling approach to determine the conditions under which fragmen
tation of breeding habitat can cause landscape-scale population declines in
songbirds. The simulated species resided in a system of forest patches (a
landscape) and could potentially disperse among patches between breeding se
asons. The model combined: (I) the frequency distribution of patch sizes in
the landscape, (2) the distribution of individuals across the range of pat
ches in the landscape, and (3) the fecundity of individuals as a function o
f patch size in the landscape. Simulated landscapes varied in patch size di
stribution while holding total forest area constant. Three distribution pat
terns were modeled: the classic "area-sensitive" pattern in which density i
ncreased as patch size increased, an area-insensitive pattern in which dens
ity was independent of patch size, and an "inverse-area-sensitive" pattern
in which density increased as patch size decreased. We used this model to e
xamine population growth under various landscape, distribution, fecundity,
and survival scenarios.
In the "fragmentation hypothesis" simulations, in which fecundity decreased
as patch size decreased within the landscape, population growth rates were
highly sensitive to distribution patterns and to landscape composition. Wh
en landscapes consisted of both large and small patches for breeding, popul
ations were either above or below replacement, depending on how individuals
were distributed among patches: Classic area-sensitive distributions produ
ced growth rates above replacement levels, whereas inverse-area-sensitive d
istributions produced growth rates below replacement levels. The results of
the model suggest that reduced fecundity associated with habitat fragmenta
tion could lead to population declines when (1) landscapes are highly fragm
ented, or (2) landscapes offer both large and small patches for breeding, b
ut distribution patterns place a high proportion of the breeding population
on small patches that are less favorable for breeding.