Markov chain models predict the consequences of experimental extinctions

Predicting the effects of species extinction is challenging because of ecosystem complexity. Using novel long-term experimental deletions of two mussel species, I found that a multi-species Markov chain model, which was parameterized under non-experimental conditions, accurately predicted the effects of local extinction in an intertidal community. Systematically deleting species from the model predicted declining ecosystem biomass with reduced biodiversity, but relatively constant ecosystem resilience following disturbance. The effects of reduced biodiversity on these variables ranged widely, illustrating the need for species-specific predictions of extinction effects. The results show that Markov chain models can be useful tools for predicting consequences of local species extinction without extensive experimentation.

[1]  P. Yodzis.  The Indeterminacy of Ecological Interactions as Perceived Through Perturbation Experiments , 1988 .

[2]  H. Caswell,et al.  Spatio‐temporal variation in Markov chain models of subtidal community succession , 2002 .

[3]  R. Paine,et al.  Intertidal Landscapes: Disturbance and the Dynamics of Pattern , 1981 .

[4]  Michael A. Huston,et al.  Hidden treatments in ecological experiments: re-evaluating the ecosystem function of biodiversity , 1997, Oecologia.

[5]  J. Timothy Wootton,et al.  PREDICTING DIRECT AND INDIRECT EFFECTS: AN INTEGRATED APPROACH USING EXPERIMENTS AND PATH ANALYSIS' , 1994 .

[6]  B. Schmid,et al.  Diversity-dependent production can decrease the stability of ecosystem functioning , 2002, Nature.

[7]  E. Kozloff,et al.  Marine invertebrates of the Pacific Northwest , 1987 .

[8]  Mathew A. Leibold,et al.  Ecosystem consequences of species richness and composition in pond food webs , 2002, Nature.

[9]  Empirical approach to multispecies stock assessment , 1987 .

[10]  J. Timothy Wootton,et al.  Size‐Dependent Competition: Effects on the Dynamics Vs. The End Point of Mussel Bed Succession , 1993 .

[11]  Oswald J. Schmitz,et al.  PRESS PERTURBATIONS AND THE PREDICTABILITY OFECOLOGICAL INTERACTIONS IN A FOOD WEB , 1997 .

[12]  R. Paine.  Food webs : linkage, interaction strength and community infrastructure , 1980 .

[13]  D. Tilman.  Biodiversity: Population Versus Ecosystem Stability , 1995 .

[14]  J. L. Gittleman,et al.  The Future of Biodiversity , 1995, Science.

[15]  R. Paine,et al.  Food-web analysis through field measurement of per capita interaction strength , 1992, Nature.

[16]  J. Timothy Wootton,et al.  Indirect Effects, Prey Susceptibility, and Habitat Selection: Impacts of Birds on Limpets and Algae , 1992 .

[17]  S. Navarrete.  Variable predation : Effects of whelks on a mid-intertidal successional community , 1996 .

[18]  J. P. Grime,et al.  Biodiversity and Ecosystem Functioning: Current Knowledge and Future Challenges , 2001, Science.

[19]  M. Gilpin,et al.  Perturbation Experiments in Community Ecology: Theory and Practice , 1984 .

[20]  Jay T. Lennon,et al.  Biodiversity may regulate the temporal variability of ecological systems , 2001 .

[21]  Stuart H. Hurlbert,et al.  Functional importance vs keystoneness: Reformulating some questions in theoretical biocenology , 1997 .

[22]  B. Menge,et al.  Indirect Effects in Marine Rocky Intertidal Interaction Webs: Patterns and Importance , 1995 .

[23]  S. Sørensen,et al.  Ecosystem response of pasture soil communities to fumigation-induced microbial diversity reductions: an examination of the biodiversity-ecosystem function relationship , 2000 .

[24]  Michel Loreau,et al.  Partitioning selection and complementarity in biodiversity experiments , 2001, Nature.

[25]  J. Wootton,et al.  PREDICTION IN COMPLEX COMMUNITIES: ANALYSIS OF EMPIRICALLY DERIVED MARKOV MODELS , 2001 .

[26]  J. Estes,et al.  Sea Otters: Their Role in Structuring Nearshore Communities , 1974, Science.

[27]  M. Usher,et al.  Markovian approaches to ecological succession , 1979 .

[28]  Within- and between-patch variability of predation intensity on the mussel Mytilus trossulus Gould on a rocky intertidal shore in Oregon, USA , 1999, Ecological Research.

[29]  P. Reich,et al.  Diversity and Productivity in a Long-Term Grassland Experiment , 2001, Science.

[30]  J. H. Petersen.  Larval settlement behavior in competing species: Mytiluscalifornianus Conrad and M. edulis L. , 1984 .

[31]  R. Paine.  Food Web Complexity and Species Diversity , 1966, The American Naturalist.

[32]  J. Timothy Wootton,et al.  THEORETICAL CONCEPTS AND EMPIRICAL APPROACHES TO MEASURING INTERACTION STRENGTH , 1998 .

[33]  J. Wootton.  Mechanisms of successional dynamics: Consumers and the rise and fall of species dominance , 2002, Ecological Research.

[34]  J. Wilson,et al.  Succession in a New Zealand alpine cushion community: a Markovian model , 1987, Vegetatio.

[35]  C. Körner,et al.  Above-ground resource use increases with plant species richness in experimental grassland ecosystems , 2000 .

[36]  P. Holgate,et al.  Matrix Population Models. , 1990 .

[37]  D. C. Glenn-Lewin,et al.  Markov models and succession: a test from a heathland in the Netherlands , 1985 .

[38]  M. Loreau,et al.  Phenotypic diversity and stability of ecosystem processes. , 1999, Theoretical population biology.

[39]  R. Paine,et al.  Marine rocky shores and community ecology : an experimentalist's perspective , 1995 .