Picture water droplets

Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

Strathprints makes available Open Access scholarly outputs by Strathclyde's Department of Mathematics & Statistics, where continuum mechanics and industrial mathematics is a specialism. Such research seeks to understand fluid dynamics, among many other related areas such as liquid crystals and droplet evaporation.

The Department of Mathematics & Statistics also demonstrates expertise in population modelling & epidemiology, stochastic analysis, applied analysis and scientific computing. Access world leading mathematical and statistical Open Access research!

Explore all Strathclyde Open Access research...

Stochastic growth reduces population fluctuations in Daphnia-algal systems

Ananthasubramaniam, Bharath and Nisbet, Roger and Nelson, William and McCauley, Edward and Gurney, William (2011) Stochastic growth reduces population fluctuations in Daphnia-algal systems. Ecology, 92 (2). pp. 362-372. ISSN 0012-9658

Full text not available in this repository. Request a copy from the Strathclyde author


Deterministic, size-structured models are widely used to describe consumer-resource interactions. Such models typically ignore potentially large random variability in juvenile development rates. We present simple representations of this variability and show five approaches to calculating the model parameters for Daphnia pulex interacting with its algal food. Using our parameterized models of growth variability, we investigate the robustness of a recently proposed stabilizing mechanism for Daphnia populations. Growth rate variability increases the range of enrichments over which small amplitude cycles or quasi-cycles occur, thus increasing the plausibility that the underlying mechanism contributes to the prevalence of small amplitude cycles in the field and in experiments. More generally, our approach allows us to relate commonly available information on variance of development times to population stability