Ecosystem stability in space: α, β and γ variability.

The past two decades have seen great progress in understanding the mechanisms of ecosystem stability in local ecological systems. There is, however, an urgent need to extend existing knowledge to larger spatial scales to match the scale of management and conservation. Here, we develop a general theoretical framework to study the stability and variability of ecosystems at multiple scales. Analogously to the partitioning of biodiversity, we propose the concepts of alpha, beta and gamma variability. Gamma variability at regional (metacommunity) scale can be partitioned into local alpha variability and spatial beta variability, either multiplicatively or additively. On average, variability decreases from local to regional scales, which creates a negative variability-area relationship. Our partitioning framework suggests that mechanisms of regional ecosystem stability can be understood by investigating the influence of ecological factors on alpha and beta variability. Diversity can provide insurance effects at the various levels of variability, thus generating alpha, beta and gamma diversity-stability relationships. As a consequence, the loss of biodiversity and habitat impairs ecosystem stability at the regional scale. Overall, our framework enables a synthetic understanding of ecosystem stability at multiple scales and has practical implications for landscape management.

[1]  Christopher F. Steiner,et al.  Dispersal Promotes Compensatory Dynamics and Stability in Forced Metacommunities , 2011, The American Naturalist.

[2]  P. Venail,et al.  Contrasted Effects of Diversity and Immigration on Ecological Insurance in Marine Bacterioplankton Communities , 2012, PloS one.

[3]  D. Tilman,et al.  Predicting ecosystem stability from community composition and biodiversity. , 2013, Ecology letters.

[4]  R. Freckleton,et al.  Interspecific differences in stochastic population dynamics explains variation in Taylor's temporal power law , 2013 .

[5]  Andrew M. Liebhold,et al.  Spatial Synchrony in Population Dynamics , 2004 .

[6]  Stephen J. Wright,et al.  Light-Gap disturbances, recruitment limitation, and tree diversity in a neotropical forest , 1999, Science.

[7]  F. Guichard,et al.  Ecological processes can synchronize marine population dynamics over continental scales , 2010, Proceedings of the National Academy of Sciences.

[8]  Michel Loreau,et al.  Biodiversity and ecosystem stability: a synthesis of underlying mechanisms. , 2013, Ecology letters.

[9]  M. Loreau.  Are communities saturated? On the relationship between α, β and γ diversity , 2000 .

[10]  K. McCann.  The diversity–stability debate , 2000, Nature.

[11]  M. E. Hochberg,et al.  Diversity and productivity peak at intermediate dispersal rate in evolving metacommunities , 2008, Nature.

[12]  B. Kendall,et al.  Dispersal, Environmental Correlation, and Spatial Synchrony in Population Dynamics , 2000, The American Naturalist.

[13]  Helmut Hillebrand,et al.  Empirical approaches to metacommunities: a review and comparison with theory. , 2011, Trends in ecology & evolution.

[14]  Damien A. Fordham,et al.  Strong but opposing β-diversity–stability relationships in coral reef fish communities , 2014, Proceedings of the Royal Society B: Biological Sciences.

[15]  P. Reich,et al.  Biodiversity and ecosystem stability in a decade-long grassland experiment , 2006, Nature.

[16]  A. Ives,et al.  Stability and variability in competitive communities. , 1999, Science.

[17]  Karen C. Abbott.  A dispersal-induced paradox: synchrony and stability in stochastic metapopulations. , 2011, Ecology letters.

[18]  J. Halley.  Ecology, evolution and 1 f -noise. , 1996, Trends in ecology & evolution.

[19]  R. Aragón,et al.  Stability of ecosystem functioning and diversity of grasslands at the landscape scale , 2011, Landscape Ecology.

[20]  R. Lande.  Statistics and partitioning of species diversity, and similarity among multiple communities , 1996 .

[21]  L. Fahrig.  Effects of Habitat Fragmentation on Biodiversity , 2003 .

[22]  Christopher F. Steiner,et al.  Population synchrony and stability in environmentally forced metacommunities , 2013 .

[23]  Jennifer G. Howeth,et al.  Species dispersal rates alter diversity and ecosystem stability in pond metacommunities. , 2010, Ecology.

[24]  A. Chao,et al.  Proposing a resolution to debates on diversity partitioning. , 2012, Ecology.

[25]  R. Hilborn,et al.  Population diversity and the portfolio effect in an exploited species , 2010, Nature.

[26]  S. Carpenter,et al.  Global Consequences of Land Use , 2005, Science.

[27]  M. Nowak,et al.  Habitat destruction and the extinction debt , 1994, Nature.

[28]  R. Whittaker.  Evolution and measurement of species diversity , 1972 .

[29]  Jianguo Wu,et al.  Ecosystem stability and compensatory effects in the Inner Mongolia grassland , 2004, Nature.

[30]  F. He,et al.  Understanding diversity–stability relationships: towards a unified model of portfolio effects , 2012, Ecology letters.

[31]  D. Doak,et al.  The Statistical Inevitability of Stability‐Diversity Relationships in Community Ecology , 1998, The American Naturalist.

[32]  David Tilman,et al.  Several scales of biodiversity affect ecosystem multifunctionality , 2013, Proceedings of the National Academy of Sciences.

[33]  I. Cattadori,et al.  The Moran effect: a cause of population synchrony. , 1999, Trends in ecology & evolution.

[34]  C. Mellin,et al.  Reef size and isolation determine the temporal stability of coral reef fish populations. , 2010, Ecology.

[35]  Pereira,et al.  Plant diversity and productivity experiments in european grasslands , 1999, Science.

[36]  T. Fukami,et al.  On similarity among local communities in biodiversity experiments , 2001 .

[37]  William F. Laurance,et al.  Near-Complete Extinction of Native Small Mammal Fauna 25 Years After Forest Fragmentation , 2013, Science.

[38]  K. Gaston,et al.  Pink landscapes: 1/f spectra of spatial environmental variability and bird community composition , 2002, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[39]  L. R. Taylor,et al.  Aggregation, Variance and the Mean , 1961, Nature.

[40]  D. Tilman,et al.  Diversity‐Stability Relationships: Statistical Inevitability or Ecological Consequence? , 1998, The American Naturalist.

[41]  Sven Erik Jørgensen,et al.  The properties of the ecological hierarchy and their application as ecological indicators , 2013 .

[42]  Michel Loreau,et al.  Biodiversity, Ecosystem Functioning, and Human Wellbeing: An Ecological and Economic Perspective , 2009 .

[43]  Lander Baeten,et al.  Global meta-analysis reveals no net change in local-scale plant biodiversity over time , 2013, Proceedings of the National Academy of Sciences.

[44]  S. Pimm.  The complexity and stability of ecosystems , 1984, Nature.

[45]  P. Soranno,et al.  Macrosystems ecology: understanding ecological patterns and processes at continental scales , 2014 .

[46]  M. Loreau,et al.  Species Synchrony and Its Drivers: Neutral and Nonneutral Community Dynamics in Fluctuating Environments , 2008, The American Naturalist.

[47]  I. Hanski,et al.  Species-area relationships and extinctions caused by habitat loss and fragmentation. , 2013, Ecology letters.

[48]  S. Carpenter,et al.  Stability and Diversity of Ecosystems , 2007, Science.

[49]  Jonathan M. Chase,et al.  The metacommunity concept: a framework for multi-scale community ecology , 2004 .

[50]  P. Vitousek.  Beyond Global Warming: Ecology and Global Change , 1994 .

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

[52]  A. Ives,et al.  Food web dynamics in correlated and autocorrelated environments. , 2003, Theoretical population biology.

[53]  J. Thorson,et al.  Spatial variation buffers temporal fluctuations in early juvenile survival for an endangered Pacific salmon. , 2014, The Journal of animal ecology.

[54]  Stephen P. Hubbell,et al.  Thirty Years of Forest Census at Barro Colorado and the Importance of Immigration in Maintaining Diversity , 2012, PloS one.

[55]  Mark W. Denny,et al.  QUANTIFYING SCALE IN ECOLOGY: LESSONS FROM AWAVE-SWEPT SHORE , 2004 .

[56]  A. Troumbis,et al.  General stabilizing effects of plant diversity on grassland productivity through population asynchrony and overyielding. , 2010, Ecology.

[57]  M. Loreau,et al.  Biodiversity as spatial insurance in heterogeneous landscapes , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[58]  R. Holt,et al.  Meta‐ecosystems: a theoretical framework for a spatial ecosystem ecology , 2003 .

[59]  N. Dulvy,et al.  Ecological prophets: quantifying metapopulation portfolio effects , 2013 .

[60]  D. R. Chalcraft.  Changes in ecological stability across realistic biodiversity gradients depend on spatial scale , 2013 .

[61]  J. Emmett Duffy,et al.  Diversity and dispersal interactively affect predictability of ecosystem function , 2006, Nature.

[62]  A. Weigelt,et al.  Does biodiversity increase spatial stability in plant community biomass? , 2008, Ecology letters.

[63]  G. Daily,et al.  Biodiversity loss and its impact on humanity , 2012, Nature.

[64]  Ellen I. Damschen,et al.  Eutrophication weakens stabilizing effects of diversity in natural grasslands , 2014, Nature.

[65]  M. Loreau,et al.  Biodiversity and ecosystem productivity in a fluctuating environment: the insurance hypothesis. , 1999, Proceedings of the National Academy of Sciences of the United States of America.

[66]  D. Tilman.  THE ECOLOGICAL CONSEQUENCES OF CHANGES IN BIODIVERSITY: A SEARCH FOR GENERAL PRINCIPLES101 , 1999 .