The underlying biological processes that govern many ecological systems can create very long periods of transient dynamics. It is often difficult or impossible to distinguish this transient behaviour from similar dynamics that would persist indefinitely. In some cases, a shift from the transient to the long-term, stable dynamics may occur in the absence of any exogenous forces. Recognizing the possibility that the state of an ecosystem may be less stable than it appears is crucial to the long-term success of management strategies in systems with long transient periods. Here we demonstrate the importance of considering the potential of transient system behaviour for management actions across a range of ecosystem organizational scales and natural system types. Developing mechanistic models that capture essential system dynamics will be crucial for promoting system resilience and avoiding system collapses.
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Characterizing Long Transients in Consumer–Resource Systems With Group Defense and Discrete Reproductive Pulses
Bulletin of Mathematical Biology Open Access 14 August 2022
Biological Invasions Open Access 18 March 2022
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This work was conducted as part of the Long Transients and Ecological Forecasting Working Group at the National Institute for Mathematical and Biological Synthesis, supported by the National Science Foundation through NSF Award no. DBI-1300426, with additional support from The University of Tennessee, Knoxville, and NSF Award no. CCS-1521672.
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Illustrations of terms and concepts (capitalized words) defined in Box 1. The left column represents a two-component system (e.g. a two-species community, or any system where the current state can be represented using two variables) as a landscape (blue surface). Dynamics are expected to proceed the way a ball would roll on these landscapes. Orange paths on these surfaces are examples of how a ball might roll from a particular starting point. The right column shows simulated dynamics, including stochasticity, for one species or variable on such a surface.
Extended Data Fig. 2 Invader density under alternative dynamical behavior assumptions and management.
Histograms of the time-averaged N2 density during 50 years of management, for 100 replicate simulations of the system in Fig. 1(d-f), for different models (column titles) and management actions (row titles). Note that the “Add N1” scenario when (K1,0) is a saddle (top middle and top right) had to be plotted using a different x-axis range than the others. Dashed vertical lines mark the mean of each distribution.
Histograms of the number of management actions needed in the same replicate simulations as Fig. S1. Note that the “Add N1” scenario when (K1,0) is a saddle (top middle and top right) had to be plotted using a different x-axis range than the others. Dashed vertical lines mark the mean of each distribution.
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Francis, T.B., Abbott, K.C., Cuddington, K. et al. Management implications of long transients in ecological systems. Nat Ecol Evol 5, 285–294 (2021). https://doi.org/10.1038/s41559-020-01365-0
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