Abstract

Predictions on population responses to perturbations are often derived from trait‐based approaches like integral projection models (IPMs), but are rarely tested. IPMs are constructed from functions that describe survival, growth and reproduction in relation to the traits of individuals and their environment. Although these functions comprise biologically non‐informative statistical coefficients within standard IPMs, model parameters of the recently developed dynamic energy budget IPM (DEB‐IPM) are life‐history traits like “length at maturation” and “maximum reproduction rate”. Testing predictions from mechanistic IPMs against empirical observations can therefore provide functional insights into the links between individual life history, the environment and population dynamics.Here, we compared the population dynamics of the bulb mite (Rhizoglyphus robini) predicted by a DEB‐IPM with those observed in an experiment where populations experienced daily food rations that were either positively correlated over time (red noise), negatively (blue noise) or uncorrelated (white noise). We also selectively harvested large adults in half of these populations. The model failed to generate detailed predictions of population structure as juvenile numbers were overestimated; likely because juvenile–adult interference competition was underestimated. The model performed well at the population level as, for both harvested and unharvested populations, simulations matched the observed, long‐term stochastic growth rate λs.We next generalised the model to investigate how stochastic change affects mite λs, which correlated well with the frequency f of experiencing periods of good environment, but, due to the relationship between f and noise colour ρ, did not correlate well with shifts in ρ. The sensitivity of λs to perturbations in life‐history parameters depended on the type of stochastic change, as well as population growth.Our findings show that responses to differential mortality depend on individual life‐history traits, environmental characteristics and population growth. As long‐term climate change causes ever greater environmental fluctuations, trait‐based approaches will be increasingly important in predicting population responses to change. We therefore conclude by illustrating what questions can be examined with mechanistic trait‐based models like the DEB‐IPM, the answers to which will advance our knowledge of the functional links between individual traits, the environment and population dynamics.

Highlights

  • Understanding population responses to perturbations through differential mortality caused by pathogens, parasites and, in an applied context, harvesting is important for accurately predicting population extinction risks (Clements & Ozgul, 2016), predicting epidemic time courses (Keeling & Gilligan, 2000) and predicting sustainable responses to harvesting (Higgins, Hastings, Sarvela, & Botsford, 1997)

  • We compared the population dynamics of the bulb mite (Rhizoglyphus robini) predicted by a dynamic energy budget (DEB)-integral projection models (IPMs) with those observed in an experiment where populations experienced daily food rations that were either positively correlated over time, negatively or uncorrelated

  • IPMs, in contrast to population projection model (PPM), include both discrete and continuous variables that can describe individual characteristics within and between life stages (Easterling, Ellner, & Dixon, 2000). They found that IPM predictions on population responses to perturbations provided a better fit with empirical observations than PPM predictions (Ozgul et al, 2012)

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Summary

| INTRODUCTION

Understanding population responses to perturbations through differential mortality caused by pathogens, parasites and, in an applied context, harvesting is important for accurately predicting population extinction risks (Clements & Ozgul, 2016), predicting epidemic time courses (Keeling & Gilligan, 2000) and predicting sustainable responses to harvesting (Higgins, Hastings, Sarvela, & Botsford, 1997). Benton et al (2004) set out to accurately predict the responses of laboratory populations of soil mites (Sancassania berlesei) to selective harvesting (Cameron & Benton, 2004) using a population projection model (PPM) structured by life stage. Using the parameterised DEB-­IPM (Smallegange et al, 2017), we simulated the experiment and projected a population forward over the same blue, red and white stochastic time series in order to predict how selectively harvesting large adults affects population structure and growth. We did not compare predictions from the DEB-­IPM with those from a standard IPM as we cannot track the fate of individual mites within populations, which is required to estimate the strength of density dependence in the statistical functions describing survival, growth and reproduction. We used the results of our individual-­to-­population cross-­level test to create a stochastic demographic model to assess how the serial correlation of good and bad environment states (i.e. the noise structure) and the temporal frequency of good environment states affect the long-­term stochastic population growth rate (average fitness), and its sensitivity to individual life-­history parameters, for both unharvested and large-­ adult-­harvested populations

| MATERIALS AND METHODS
Findings
| DISCUSSION
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