Effects of stochasticity on the length and behaviour of ecological transients

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.

Authors
Hastings A.1, 2 , Abbott K.C.3 , Cuddington K.4 , Francis T.B.5 , Lai Y.C.6 , Morozov A.7, 8 , Petrovskii S. 7, 9 , Zeeman M.L.10
Publisher
ROYAL SOC
Number of issue
180
Language
English
Status
Published
Number
20210257
Volume
18
Year
2021
Organizations
  • 1 Univ Calif Davis, Dept Environm Sci & Policy, Davis, CA 95616 USA
  • 2 Santa Fe Inst, 1399 Hyde Pk Rd, Santa Fe, NM 87501 USA
  • 3 Case Western Reserve Univ, Dept Biol, Cleveland, OH 44106 USA
  • 4 Univ Waterloo, Dept Biol, Waterloo, ON N2L 3G1, Canada
  • 5 Univ Washington Tacoma, Puget Sound Inst, Tacoma, WA 98421 USA
  • 6 Arizona State Univ, Sch Elect Comp & Energy Engn, Tempe, AZ 85287 USA
  • 7 Univ Leicester, Sch Math & Actuarial Sci, Leicester LE1 7RH, Leics, England
  • 8 Russian Acad Sci, Inst Ecol & Evolut, Leninsky Pr 33, Moscow 117071, Russia
  • 9 Peoples Friendship Univ Russia, RUDN Univ, 6 Miklukho Maklaya Str, Moscow 117198, Russia
  • 10 Bowdoin Coll, Dept Math, Brunswick, ME 04011 USA
Keywords
transient; stochasticity; population dynamics
Date of creation
20.07.2021
Date of change
20.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/74526/
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