Technical Comment on Pande <i>et al</i>. (2020): Why invasion analysis is important for understanding coexistence

Ellner, Stephen P.; Snyder, Robin E.; Adler, Peter B.; Hooker, Giles; Schreiber, Sebastian J.

doi:10.1111/ele.13580

Cited by 20 publications

(27 citation statements)

References 20 publications

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“…We thank Ellner et al . (2020) for pointing out that, unlike what we wrote in Pande et al . (2020), Ellner et al .…”

Section: Introductionmentioning

confidence: 59%

“…In their Technical Comment, Ellner et al . (2020) do not question the methodology or the reasoning of Pande et al . (2020), but they question its message that IGR‐based analyses, as carried out currently in the literature, are often flawed.…”

Section: Introductionmentioning

confidence: 93%

“…This is a claim which Ellner et al . (2020) implicitly support, writing ‘higher IGRs do not necessarily yield more robust persistence’. In this context, it is noteworthy that the curves labelled ‘3’ (or ‘4’) in panels C) and D) of their Fig.…”

Section: Introductionmentioning

confidence: 99%

“…In light of the Comment of Ellner et al . (2020), we would like to clarify our stance that examining the effect of a given mechanism on the sign of IGR is a useful practice. We thank Ellner et al .…”

Section: Introductionmentioning

confidence: 99%

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Invasion growth rate and its relevance to persistence: a response to Technical Comment by Ellner et al.

et al. 2020

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“…We thank Ellner et al . (2020) for pointing out that, unlike what we wrote in Pande et al . (2020), Ellner et al .…”

Section: Introductionmentioning

confidence: 59%

Section: Introductionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Invasion growth rate and its relevance to persistence: a response to Technical Comment by Ellner et al.

et al. 2020

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“…Even worse, systems may exhibit a decreasing invasibility even as E[r] increases. Although E[r] provides a fair binary classification -when its value is positive (negative), the extinction state is a repeller (attractor), from which important asymptotic predictions follow [6,8,11,22,23] -it does not reliably measure invasibility.…”

mentioning

confidence: 99%

Quantifying invasibility

Pande

Yehonatan

Shnerb

2021

Preprint

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Invasibility, the chance of a population to grow from rarity and to establish a large-abundance colony, plays a fundamental role in population genetics, ecology, and evolution. For many decades, the mean growth rate when rare has been employed as an invasion criterion. Recent analyses have shown that this criterion fails as a quantitative metric for invasibility, with its magnitude sometimes even increasing while the invasibility decreases. Here we employ a new large-deviations (Wentzel-Kramers-Brillouin, WKB) approach and derive a novel and easy-to-use formula for the chance of invasion in terms of the mean growth rate and its variance. We also explain how to extract the required parameters from abundance time series. The efficacy of the formula, including its accompanying data analysis technique, is demonstrated using synthetic and empirically-calibrated time series from a few canonical models.

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Toward a “modern coexistence theory” for the discrete and spatial

Ellner

Snyder

Adler

et al. 2022

Ecological Monographs

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The usual theoretical condition for coexistence is that each species in a community can increase when it is rare (mutual invasibility). Traditional coexistence theory implicitly assumes that the invading species is common enough that we can ignore demographic stochasticity but rare enough that it does not compete with itself, even after it has reached a stationary spatial distribution. However, short‐distance dispersal of discrete individuals leads to locally dense population clusters, and existing theory breaks down. We have an intuition that when we account for invader–invader competition, shorter‐range dispersal should reduce the invader's ability to escape competition, but exactly how does this translate into lower population growth? And how will invader discreteness affect outcomes? We need a way of partitioning the contributions to coexistence, but current modern coexistence theory (MCT) does not apply under these conditions. Here we present a computationally based partitioning method to quantify the contributions to coexistence from different mechanisms, as in MCT. We also build up an intuition for how invader clumping and discreteness will affect these contributions by analyzing a case study, a lattice‐based spatial lottery model. We first consider fluctuation‐dependent coexistence, partitioning the contributions of variable environment, variable competition, demographic stochasticity, and their correlations and interactions. Our second example examines fluctuation‐independent coexistence maintained by a fecundity–survival trade‐off, and partitions the contributions to coexistence from interspecific differences in fecundity, in mortality, and in dispersal. We find that demographic stochasticity harms an invader, but only slightly. Localized invader dispersal, on the other hand, can have a strong effect. When invaders are more clumped, they compete with each other more intensely when rare, so they too become limited by environment‐competition covariance. More invader clumping also means that variation in competition changes from helping the invader to harming it. More broadly, invader clumping is likely to weaken any coexistence mechanism that relies on the invader escaping competition from the resident, because invader clumping means that the resident is no longer the only source of competition.

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Technical Comment on Pande et al. (2020): Why invasion analysis is important for understanding coexistence

Cited by 20 publications

References 20 publications

Invasion growth rate and its relevance to persistence: a response to Technical Comment by Ellner et al.

Invasion growth rate and its relevance to persistence: a response to Technical Comment by Ellner et al.

Quantifying invasibility

Toward a “modern coexistence theory” for the discrete and spatial

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