Ka. With et To. Crist, TRANSLATING ACROSS SCALES - SIMULATING SPECIES DISTRIBUTIONS AS THE AGGREGATE RESPONSE OF INDIVIDUALS TO HETEROGENEITY, Ecological modelling, 93(1-3), 1996, pp. 125-137
The mechanistic linkage between movement responses of animals to heter
ogeneity and distribution of populations provides a useful framework f
or investigating the extent to which fine-scale ecological information
can be extrapolated across scales to explain broad-scale phenomena. W
e developed a simple, spatially explicit simulation model to explore w
hether patterns of species distributions across landscapes emerge as t
he aggregate response of individuals to fine-scale heterogeneity. As a
n empirical basis for this modelling exercise, we studied two species
of acridid grasshoppers (Orthoptera) in the shortgrass prairie in nort
hcentral Colorado, USA. Grasshopper distributions were sampled in two
pastures that had been subjected to different intensities of cattle gr
azing. A large species, Xanthippus corallipes (Haldeman) was patchily
distributed across this grassland, whereas the smaller Psoloessa delic
atula (Scudder) occurred as a random distribution in both pastures. We
produced a grid map of each pasture, in which each grid cell was clas
sified according to 3 habitat types representing a gradient of forage
abundance for grasshoppers. During model simulations, individuals were
randomly distributed across the pasture maps and allowed to redistrib
ute according to habitat-specific movement probabilities - the rate th
at an individual would leave a particular cell (habitat) type. Movemen
t probabilities were extrapolated from observed movement rates of each
species within habitats. We were initially unable to simulate realist
ic levels of aggregation for the two grasshopper species when extrapol
ated rates of movement were applied to the model. Species distribution
s thus do not emerge as a linear function of fine-scale movement rates
, presumably because movement is constrained by different processes op
erating at different scales. Fine-scale movement responses to heteroge
neity can be used to provide qualitative predictions of species' distr
ibutional patterns in different landscapes, however. For example, P. d
elicatula exhibited faster rates of movement through habitats comprisi
ng 92% of one pasture; such a high rate of turnover should lead to a r
andom distribution, which is what we observed for this species in this
system. Xanthippus corallipes had reduced movement in 35% of this sam
e landscape, but was able to move rapidly across the remainder. This m
ay enable individuals to aggregate within a minor component of the lan
dscape and produce the clumped distributions we observed. While the ge
neral pattern of distribution can be determined from individual moveme
nt responses to heterogeneity, such information is too coarse to quant
ify the exact location of individuals and other statistical properties
of population distributions (e.g., density).