Variation in mean food availability, and in the variance around the mean, a
ffects the growth rate during development. Previous theoretical work on the
influence of environmental quality or growth rates on the phenotypic trait
s age and size at maturation assumed that there is no variation in growth r
ate or food availability within a generation. We develop a stochastic dynam
ic programming (SDP) model of the foraging behaviour of aphidophagous syrph
ids, and use this model to predict when syrphids should pupate (mature) whe
n average food availability changes, or varies stochastically, during devel
opment.
The optimal strategy takes into account not only the availability of food,
but also the timing of its availability. Food availability, when small, inf
luences developmental time, but not weight at pupation. Food availability,
when large, influences weight at pupation, but not developmental time. When
the food supply is low, the optimal strategy adjusts the size at pupation
downwards for stochastic as opposed to deterministic availability of food.
The conclusions reinforce the need for life-history studies to consider sta
te dependence and short-term variability in growth rates. (C) 2000 Academic
Press.