Data from: Effects of warming on predator–prey interactions – a resource-based approach and a theoretical synthesis

We theoretically explore consequences of warming for predator-prey
dynamics, broadening previous approaches in three ways: we include
beyond-optimal temperatures, predators may have a type III functional
response, and prey carrying capacity depends on explicitly modeled
resources. Several robust patterns arise. The relationship between prey
carrying capacity and temperature can range from near-independence to
monotonically declining/increasing to hump-shaped. Predators persist in a
U-shaped region in resource supply (=enrichment)-temperature space. Type
II responses yield stable persistence in a U-shaped band inside this
region, giving way to limit cycles with enrichment at all temperatures. In
contrast, type III responses convey stability at intermediate temperatures
and confine cycles to low and high temperatures. Warming-induced state
shifts can be predicted from system trajectories crossing stability and
persistence boundaries in enrichment-temperature space. Results of earlier
studies with more restricted assumptions map onto this graph as special
cases. Our approach thus provides a unifying framework for understanding
warming effects on trophic dynamics.