Abstract

Temporal variation in demographic processes can greatly impact population dynamics. Perturbations of statistical coefficients that describe demographic rates within matrix models have, for example, revealed that stochastic population growth rates (log(λ s)) of fast life histories are more sensitive to temporal autocorrelation of environmental conditions than those of slow life histories. Yet, we know little about the mechanisms that drive such patterns. Here, we used a mechanistic, functional trait approach to examine the functional pathways by which a typical fast life history species, the macrodetrivore Orchestia gammarellus, and a typical slow life history species, the reef manta ray Manta alfredi, differ in their sensitivity to environmental autocorrelation if (a) growth and reproduction are described mechanistically by functional traits that adhere to the principle of energy conservation, and if (b) demographic variation is determined by temporal autocorrelation in food conditions. Opposite to previous findings, we found that O. gammarellus log(λ s) was most sensitive to the frequency of good food conditions, likely because reproduction traits, which directly impact population growth, were most influential to log(λ s). Manta alfredi log(λs) was instead most sensitive to temporal autocorrelation, likely because growth parameters, which impact population growth indirectly, were most influential to log(λ s). This differential sensitivity to functional traits likely also explains why we found that O. gammarellus mean body size decreased (due to increased reproduction) but M. alfredi mean body size increased (due to increased individual growth) as food conditions became more favorable. Increasing demographic stochasticity under constant food conditions decreased O. gammarellus mean body size and increased log(λ s) due to increased reproduction, whereas M. alfredi mean body and log(λ s) decreased, likely due to decreased individual growth. Our findings signify the importance of integrating functional traits into demographic models as this provides mechanistic understanding of how environmental and demographic stochasticity affects population dynamics in stochastic environments.

Highlights

  • We used a mechanistic, functional trait approach to examine the functional pathways by which a typical fast life his‐ tory species, the macrodetrivore Orchestia gammarellus, and a typical slow life history species, the reef manta ray Manta alfredi, differ in their sensitivity to environmen‐ tal autocorrelation if (a) growth and reproduction are described mechanistically by functional traits that adhere to the principle of energy conservation, and if (b) de‐ mographic variation is determined by temporal autocorrelation in food conditions

  • We found that O. gammarellus log(λs) was most sensi‐ tive to the frequency of good food conditions, likely because reproduction traits, which directly impact population growth, were most influential to log(λs)

  • Manta alfredi log(λs) was instead most sensitive to temporal autocorrelation, likely because growth parameters, which impact population growth indirectly, were most influential to log(λs). This differential sensitivity to functional traits likely explains why we found that O. gammarellus mean body size decreased but M. alfredi mean body size increased as food conditions became more favorable

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Summary

| INTRODUCTION

Unraveling the drivers of population growth in variable envi‐ ronments is critical for answering eco‐evolutionary questions (Ruokolainen, Linden, Kaitala, & Fowler, 2009; Smallegange, Deere, & Coulson, 2014; Tuljapurkar, 1982), developing conservation man‐ agement strategies (Clark, 2010; Metcalf & Koons, 2007), predicting the time course of epidemics (Chaves, Scott, Morrison, & Takada, 2014; Keeling & Gilligan, 2000) and in influencing the yield of har‐ vested populations (Cameron et al, 2016; Higgins, Hastings, Sarvela, & Botsford, 1997; Smallegange & Ens, 2018). Demographic functions describing growth and reproduction have been derived from a simple dynamic energy budget (DEB) growth model, and incorporated into an in‐ tegral projection model (IPM) (Easterling, Ellner, & Dixon, 2000) to describe survival, growth and reproduction in relation to the feed‐ ing environment (Smallegange, Caswell, Toorians, & Roos, 2017) We used such DEB‐IPMs to examine the functional pathways by which a typical fast and a typical slow life history species differ in their response to shifts in temporal autocorrelation when their individual growth and reproduction are described by functional, life history traits. We assessed to what extent patterns in log(λs), mean body size and elasticities depended on demographic stochasticity (inherent randomness in demographic processes (Lande et al, 2003), for example, when individuals of the same size and in the same environment, independently of each other, have good or bad luck in their feeding experience), as demographic stochasticity, population structure and temporal autocorrelation can interact to shape population dynamics (Vindenes & Engen, 2017)

| MATERIAL AND METHODS
| DISCUSSION
Findings
CONFLICT OF INTEREST
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