Abstract

Predator functional responses describe predator feeding rates and are central to predator-prey theory. Ecologists have measured thousands of predator functional responses using the same basic experimental method. However, this design is ill-suited to address many current questions regarding functional responses. We derive a new experimental design and statistical analysis that quantifies functional responses using the times between a predators' feeding events requiring only one or a few trials. We examine the feasibility of the experimental method and analysis using simulations to assess the ability of the statistical model to estimate functional response parameters and perform a proof-of-concept experiment estimating the functional responses of two individual jumping spiders. Our simulations show that the statistical method reliably estimates functional response parameters. Our proof-of-concept experiment illustrates that the method provides reasonable estimates of functional response parameters. By virtue of the fewer number of trials required to measure a functional response, the method derived here promises to expand the questions that can be addressed using functional response experiments and the systems in which they can be measured. Thus, we hope that our method will refine our understanding of functional responses and predator-prey interactions more generally.

Highlights

  • Predator functional responses are integral to ecological theory as they describe predator feeding rates given prey densities (Solomon, 1949; Holling, 1959b)

  • For the handling time., we placed a Cauchy prior with μ = 0 and σ = 2.5 truncated below at zero and above at the minimum observed time between feeding events. We chose these priors for the simulations to reflect the use of vaguely informative priors which we encourage given the large number of previous functional response experiments

  • After fitting the statistical models, we determined: 1) the proportion of simulations for which the true space clearance rates and handling times were within the 95% Credible Interval of the estimates, 2) the proportion of parameter point estimates that were greater than the true value, and 3) the mean absolute difference between the point parameter estimates and the true value

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Summary

Introduction

Predator functional responses are integral to ecological theory as they describe predator feeding rates given prey densities (Solomon, 1949; Holling, 1959b). In a recent effort to compile a database of functional response experiments (the Functional Responses from Around the Globe in all Ecosystems or FoRAGE database), Uiterwaal et al (2018) collated over 2,000 functional response experiments from the literature. Despite this monumental effort devoted to measuring functional responses, there remain many open questions regarding functional responses that are difficult to address using the traditional ‘gold standard’ functional response experimental design. An alternative to this approach is similar but involves recording the amount of time it takes to forage to a specified number of prey

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