Search Results for author: Alan Hastings

Found 9 papers, 4 papers with code

Rate-induced tipping in complex high-dimensional ecological networks

no code implementations15 Nov 2023 Shirin Panahi, Younghae Do, Alan Hastings, Ying-Cheng Lai

In an ecosystem, environmental changes as a result of natural and human processes can cause some key parameters of the system to change with time.

Coexistence in spatiotemporally fluctuating environments

no code implementations20 Jan 2022 Evan Johnson, Alan Hastings

Ecologists have put forward many explanations for coexistence, but these are only partial explanations; nature is complex, so it is reasonable to assume that in any given ecological community, multiple mechanisms of coexistence are operating at the same time.

Resolving conceptual issues in Modern Coexistence Theory

1 code implementation20 Jan 2022 Evan Johnson, Alan Hastings

This can be accomplished in three steps: 1) relating the construct of coexistence to invasion growth rates, 2) mathematically partitioning the invasion growth rates into coexistence mechanisms (i. e., classes of explanations for coexistence), and 3) relating coexistence mechanisms to simple explanations for coexistence.

Misconceptions

Towards a heuristic understanding of the storage effect

1 code implementation18 Jan 2022 Evan Johnson, Alan Hastings

Our approach focuses on dividing one of the key conditions for the storage effect, covariance between environment and competition, into two pieces, namely that there must be a causal relationship between environment and competition, and that the effects of the environment do not change too quickly.

The storage effect is not about bet-hedging or population stage-structure

1 code implementation18 Jan 2022 Evan C. Johnson, Oscar Godoy, Alan Hastings

Like many complex ecological theories, the storage effect is often used as an explanation for observed coexistence on the basis of heuristic understanding, rather than careful application of a detailed model.

Methods for calculating coexistence mechanisms: Beyond scaling factors

1 code implementation17 Jan 2022 Evan Johnson, Alan Hastings

Here, using theoretical arguments and case studies, we compare four such methods for calculating coexistence mechanisms: 1) Scaling factors, the traditional approach where resident growth rates are scaled by a measure of relative sensitivity to competition, obtained by solving a system of linear equations; 2) The simple comparison, which gives equal weight to all resident species; 3) Speed conversion factors, a novel method in which resident growth rates are scaled by a ratio of generation times, and; 4) The invader-invader comparison, another novel method in which a focal species is compared to itself at high vs. low density.

Characterizing long transients in consumer-resource systems with group defense and nonreproductive stages

no code implementations11 Jan 2022 Jorge Arroyo-Esquivel, Alan Hastings, Marissa L Baskett

In this work, we analyze the potential for long transients in a model for a consumer-resource system in which the resource exhibits group defense and reproduces in discrete reproductive pulses.

Synchronization within synchronization: transients and intermittency in ecological networks

no code implementations20 Nov 2020 Huawei Fan, Ling-Wei Kong, Xingang Wang, Alan Hastings, Ying-Cheng Lai

Transients are fundamental to ecological systems with significant implications to management, conservation, and biological control.

Management

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