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This study delves into the intricate balance between diversity and stability in ecosystems. It analyzes how increased species diversity impacts ecosystem stability, examining concepts from MacArthur to May. By exploring mathematical models, ecological implications, and experimental results, it aims to reconcile conflicting theories and shed light on the complex interactions within ecosystems.
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Diversity and Stability By Ariana Strandburg-Peshkin
What is stability? - MacArthur • Abundances of species staying relatively constant • Perturb one species --> Others relatively unaffected • The amount of choice which the energy has in following paths up through the food web
Complexity & Stability - MacArthur It’s Intuitive! VS.
Implications of MacArthur’s Stability Definition • Stability can be increased by… • Increasing the number of links • Increasing the number of species • Complexity --> Stability is implied in the definition • Evolution optimizes for maximum efficiency subject to a certain necessary stability
Ecological Implications, if this is true… • Small number of species --> hard to fulfill stability requirement --> must diversify diet • Large number of species --> stability requirement easily fulfilled --> can specialize
Along Comes Robert May… I know math. You’re all wrong! • In mathematical models, complexity tends to lead to instability
Mathematical Models - May • Randomly-Constructed Community Matrices • Too rich web connectance --> instability • Too large average interaction strength --> instability
Tilman’s Study • Effects of Nitrogen addition to soil • 207 plots of land, 9 different nutrient treatments • Sampled biomass every year • Major droughts in 1987 and 1988
Tilman - Results • Species-rich plots more drought resistant
Tilman - Results • Total biomass variability (c.v.) negatively correlated with SR (both drought and non-drought)
Tilman - Results • Biomass of individual species varied more in SR plots
Reconciling MacArthur and May Stop arguing! You’re both right! • For COMMUNITIES - diversity --> stability • For SPECIES - diversity --> instability • But wait…
How can this be?? • Competitive Release / Compensatory Growth • Monocultures - Avg. response to perturbation = Avg. of individuals • Mixtures - Avg. response to perturbation includes compensatory growth • Mixtures do better --> Species-rich plots do better b/c higher probability of perturbation resistant plants
What About Omnivores? • Omnivore - species that feeds on more than one trophic level • Classical Mathematical Results: Omnivory --> Instability • Fagan: Omnivory --> Stability
Fagan - Experiment • Studied arthropod communities • Manipulated level of omnivory • Perturbed populations
Fagan - Results • Omnivory decreases coefficient of variation after a perturbation • Probably due to rapid response of omnivores to changing pressures
References • MacArthur, R.H. Fluctuations of animal populations and a measure of community stability. Ecology 36, 533-536 (1955) • May, R.M. Stability and Complexity in Model Ecosystems (Princeton Univ. Press, 1973). • Tilman, D. Biodiversity: population versus ecosystem stability. Ecology 77, 350-363 (1996). • Fagan, W.F. Omnivory as a stabilizing feaure of natural communities. Am. Nat. 150, 554-567 (1997).