Skip to main content
bioRxiv
  • Home
  • About
  • Submit
  • ALERTS / RSS
Advanced Search
New Results

Effects of stochasticity on the length and behaviour of ecological transients

Alan Hastings, Karen C. Abbott, Kim Cuddington, Tessa Francis, Ying-Cheng Lai, Andrew Morozov, Sergei Petrovskii, Mary Lou Zeeman
doi: https://doi.org/10.1101/2021.03.25.437077
Alan Hastings
1Department of Environmental Science and Policy, University of California, Davis, CA 95616, USA
2Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • For correspondence: amhastings@ucdavis.edu
Karen C. Abbott
3Department of Biology, Case Western Reserve University, Cleveland, OH 44106, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Kim Cuddington
4Department of Biology, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Tessa Francis
5Puget Sound Institute, University of Washington Tacoma, Tacoma, WA 98421, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Ying-Cheng Lai
6School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ 85287, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Andrew Morozov
7School of Mathematics and Actuarial Science, University of Leicester, Leicester LE1 7RH, UK
8Institute of Ecology and Evolution, Russian Academy of Sciences, Moscow, Russia
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Sergei Petrovskii
7School of Mathematics and Actuarial Science, University of Leicester, Leicester LE1 7RH, UK
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
Mary Lou Zeeman
9Department of Mathematics, Bowdoin College, Brunswick, ME 04011, USA
  • Find this author on Google Scholar
  • Find this author on PubMed
  • Search for this author on this site
  • Abstract
  • Full Text
  • Info/History
  • Metrics
  • Preview PDF
Loading

Abstract

There is a growing recognition that ecological systems can spend extended periods of time far away from an asymptotic state, and that ecological understanding will therefore require a deeper appreciation for how long ecological transients arise. Recent work has defined classes of deterministic mechanisms that can lead to long transients. Given the ubiquity of stochasticity in ecological systems, a similar systematic treatment of transients that includes the influence of stochasticity is important. Stochasticity can of course promote the appearance of transient dynamics by preventing systems from settling permanently near their asymptotic state, but stochasticity also interacts with deterministic features to create qualitatively new dynamics. As such, stochasticity may shorten, extend, or fundamentally change a system’s transient dynamics. Here, we describe a general framework that is developing for understanding the range of possible outcomes when random processes impact the dynamics of ecological systems over realistic time scales. We emphasize that we can understand the ways in which stochasticity can either extend or reduce the lifetime of transients by studying the interactions between the stochastic and deterministic processes present, and we summarize both the current state of knowledge and avenues for future advances.

Competing Interest Statement

The authors have declared no competing interest.

Copyright 
The copyright holder for this preprint is the author/funder, who has granted bioRxiv a license to display the preprint in perpetuity. All rights reserved. No reuse allowed without permission.
Back to top
PreviousNext
Posted March 26, 2021.
Download PDF
Email

Thank you for your interest in spreading the word about bioRxiv.

NOTE: Your email address is requested solely to identify you as the sender of this article.

Enter multiple addresses on separate lines or separate them with commas.
Effects of stochasticity on the length and behaviour of ecological transients
(Your Name) has forwarded a page to you from bioRxiv
(Your Name) thought you would like to see this page from the bioRxiv website.
CAPTCHA
This question is for testing whether or not you are a human visitor and to prevent automated spam submissions.
Share
Effects of stochasticity on the length and behaviour of ecological transients
Alan Hastings, Karen C. Abbott, Kim Cuddington, Tessa Francis, Ying-Cheng Lai, Andrew Morozov, Sergei Petrovskii, Mary Lou Zeeman
bioRxiv 2021.03.25.437077; doi: https://doi.org/10.1101/2021.03.25.437077
Reddit logo Twitter logo Facebook logo LinkedIn logo Mendeley logo
Citation Tools
Effects of stochasticity on the length and behaviour of ecological transients
Alan Hastings, Karen C. Abbott, Kim Cuddington, Tessa Francis, Ying-Cheng Lai, Andrew Morozov, Sergei Petrovskii, Mary Lou Zeeman
bioRxiv 2021.03.25.437077; doi: https://doi.org/10.1101/2021.03.25.437077

Citation Manager Formats

  • BibTeX
  • Bookends
  • EasyBib
  • EndNote (tagged)
  • EndNote 8 (xml)
  • Medlars
  • Mendeley
  • Papers
  • RefWorks Tagged
  • Ref Manager
  • RIS
  • Zotero
  • Tweet Widget
  • Facebook Like
  • Google Plus One

Subject Area

  • Ecology
Subject Areas
All Articles
  • Animal Behavior and Cognition (4397)
  • Biochemistry (9632)
  • Bioengineering (7123)
  • Bioinformatics (24940)
  • Biophysics (12671)
  • Cancer Biology (9998)
  • Cell Biology (14405)
  • Clinical Trials (138)
  • Developmental Biology (7989)
  • Ecology (12148)
  • Epidemiology (2067)
  • Evolutionary Biology (16026)
  • Genetics (10953)
  • Genomics (14778)
  • Immunology (9907)
  • Microbiology (23739)
  • Molecular Biology (9508)
  • Neuroscience (51056)
  • Paleontology (370)
  • Pathology (1545)
  • Pharmacology and Toxicology (2694)
  • Physiology (4038)
  • Plant Biology (8696)
  • Scientific Communication and Education (1512)
  • Synthetic Biology (2404)
  • Systems Biology (6459)
  • Zoology (1350)