K. C. Abbott, A dispersal-induced paradox: Synchrony and stability in stochastic metapopulations, Ecology Letters, vol.14, pp.1158-1169, 2011.

J. F. Arnoldi, M. Loreau, and B. Haegeman, Resilience, reactivity and variability: A mathematical comparison of ecological stability measures, Journal of Theoretical Biology, vol.389, pp.47-59, 2016.
URL : https://hal.archives-ouvertes.fr/hal-02331226

J. F. Arnoldi, A. Bideault, M. Loreau, and B. Haegeman, How ecosystems recover from pulse perturbations: A theory of short-to long-term responses, Journal of Theoretical Biology, vol.436, pp.79-92, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02331185

M. L. Baskett, J. S. Weitz, and S. A. Levin, The evolution of dispersal in reserve networks, American Naturalist, vol.170, pp.59-78, 2007.

G. Bel, A. Hagberg, and E. Meron, Gradual regime shifts in spatially extended ecosystems, Theoretical Ecology, vol.5, pp.591-604, 2012.

J. Bennie, J. A. Hodgson, C. R. Lawson, C. T. Holloway, D. B. Roy et al., Range expansion through fragmented landscapes under a variable climate, Ecology Letters, vol.16, pp.921-929, 2013.

O. N. Bjørnstad, R. A. Ims, and X. Lambin, Spatial population dynamics: Analyzing patterns and processes of population synchrony, Trends in Ecology & Evolution, vol.14, pp.427-432, 1999.

T. V. Burkey, Extinction in nature reserves: the effect of fragmentation and the importance of migration between reserve fragments, Oikos, vol.55, p.75, 1989.

E. F. Connor and E. D. Mccoy, The statistics and biology of the species-area relationship, American Naturalist, vol.113, pp.791-833, 1979.

L. Dai, K. S. Korolev, and J. Gore, Slower recovery in space before collapse of connected populations, Nature, vol.496, pp.355-358, 2013.

V. Dakos, S. Efi, M. Rietkerk, E. H. Van-nes, and M. Scheffer, Slowing down in spatially patterned ecosystems at the brink of collapse, American Naturalist, vol.177, pp.153-166, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01938648

J. Fischer and D. B. Lindenmayer, Landscape modification and habitat fragmentation: A synthesis, Global Ecology and Biogeography, vol.16, pp.265-280, 2007.

J. W. Fox, D. Vasseur, M. Cotroneo, L. Guan, and F. Simon, Population extinctions can increase metapopulation persistence, Nature Ecology & Evolution, vol.1, pp.1271-1278, 2017.

P. J. Franks, Spatial patterns in dense algal blooms, Limnology and Oceanography, vol.42, pp.1297-1305, 1997.

N. Galiana, M. Lurgi, B. Claramunt-l-opez, M. J. Fortin, S. Leroux et al., The spatial scaling of species interaction networks, Nature Ecology & Evolution, vol.2, pp.782-790, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01826692

S. R. Gandhi, E. A. Yurtsev, K. S. Korolev, and J. Gore, Range expansions transition from pulled to pushed waves as growth becomes more cooperative in an experimental microbial population, Proceedings of the National Academy of Sciences, vol.113, pp.6922-6927, 2016.

L. J. Gilarranz, B. Rayfield, G. Liñ-an-cembrano, J. Bascompte, and A. Gonzalez, Effects of network modularity on the spread of perturbation impact in experimental metapopulations, Science, vol.357, pp.199-201, 2017.

T. C. Gouhier and F. Guichard, Local disturbance cycles and the maintenance of heterogeneity across scales in marine metapopulations, Ecology, vol.88, pp.647-657, 2007.

T. C. Gouhier, F. Guichard, and A. Gonzalez, Synchrony and stability of food webs in metacommunities, American Naturalist, vol.175, pp.16-34, 2010.

V. Grimm and C. Wissel, Babel, or the ecological stability discussions: An inventory and analysis of terminology and a guide for avoiding confusion, Oecologia, vol.109, pp.323-334, 1997.

B. Haegeman and M. Loreau, General relationships between consumer dispersal, resource dispersal and metacommunity diversity, Ecology Letters, vol.17, pp.175-184, 2014.
URL : https://hal.archives-ouvertes.fr/hal-02331243

I. Hanski and O. Ovaskainen, The metapopulation capacity of a fragmented landscape, Nature, vol.404, pp.755-758, 2000.

A. R. Ives, Stability and variability in competitive communities, Science, vol.286, pp.542-544, 1999.

B. Kerr, M. A. Riley, M. W. Feldman, and B. J. Bohannan, Local dispersal promotes biodiversity in a real-life game of rock-paper-scissors, Nature, vol.418, p.171, 2002.

R. Lande, S. Engen, and B. E. Saether, Spatial scale of population synchrony: environmental correlation versus dispersal and density regulation, American Naturalist, vol.154, pp.271-281, 1999.

P. Legendre and L. F. Legendre, Numerical ecology. Developments in environmental modelling, Amsterdam, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00530195

M. A. Leibold, The metacommunity concept: A framework for multi-scale community ecology, Ecology Letters, vol.7, pp.601-613, 2004.

M. Lewis and P. Kareiva, Allee dynamics and the spread of invading organisms, Theoretical Population Biology, vol.43, pp.141-158, 1993.

M. Loreau and C. De-mazancourt, Biodiversity and ecosystem stability: A synthesis of underlying mechanisms, Ecology Letters, vol.16, pp.106-115, 2013.

M. Loreau, N. Mouquet, and A. Gonzalez, Biodiversity as spatial insurance in heterogeneous landscapes, Proceedings of the National Academy of Sciences, vol.100, pp.12765-12770, 2003.

R. Macarthur, Fluctuations of animal populations and a measure of community stability, Ecology, vol.36, p.533, 1955.

R. M. May, Stability and complexity in model ecosystems. No. 6 in Monographs in population biology, 1973.

K. S. Mccann, The diversity-stability debate, Nature, vol.405, pp.228-233, 2000.

K. S. Mccann, J. B. Rasmussen, and J. Umbanhowar, The dynamics of spatially coupled food webs: Spatially coupled food webs, Ecology Letters, vol.8, pp.513-523, 2005.

S. J. Plitzko and B. Drossel, The effect of dispersal between patches on the stability of large trophic food webs, Theoretical Ecology, vol.8, pp.233-244, 2015.

H. Qian, C. Badgley, and D. L. Fox, The latitudinal gradient of beta diversity in relation to climate and topography for mammals in North America, Global Ecology and Biogeography, vol.18, pp.111-122, 2009.

J. Ripa, Analysing the Moran effect and dispersal: Their significance and interaction in synchronous population dynamics, Oikos, vol.89, pp.175-187, 2000.

D. A. Saunders, R. J. Hobbs, and C. R. Margules, Biological consequences of ecosystem fragmentation: a review, Conservation Biology, vol.5, pp.18-32, 1991.

M. Scheffer and S. R. Carpenter, Catastrophic regime shifts in ecosystems: Linking theory to observation, Trends in Ecology & Evolution, vol.18, pp.648-656, 2003.

P. L. Thompson, B. Rayfield, and A. Gonzalez, Loss of habitat and connectivity erodes species diversity, ecosystem functioning, and stability in metacommunity networks, Ecography, vol.40, pp.98-108, 2017.

M. G. Turner, Landscape ecology: the effect of pattern on process, Annual Review of Ecology and Systematics, vol.20, pp.171-197, 1989.

W. Van-saarloos, Front propagation into unstable states, Physics Reports, vol.386, pp.29-222, 2003.

J. Von-hardenberg, A. Y. Kletter, H. Yizhaq, J. Nathan, and E. Meron, Periodic versus scale-free patterns in dryland vegetation, Proceedings of the Royal Society B: Biological Sciences, vol.277, pp.1771-1776, 2010.

S. Wang, M. Loreau, J. F. Arnoldi, J. Fang, K. A. Rahman et al., An invariability-area relationship sheds new light on the spatial scaling of ecological stability, Nature Communications, vol.8, p.15211, 2017.

G. Yaari, Y. Ben-zion, N. M. Shnerb, and D. A. Vasseur, Consistent scaling of persistence time in metapopulations, Ecology, vol.93, pp.1214-1227, 2012.

Y. R. Zelnik and E. Meron, Regime shifts by front dynamics, Ecological Indicators, vol.94, pp.544-552, 2018.

, SUPPORTING INFORMATION Additional supporting information may be found in the online version of this

. Yuval-r, . Zelnik, and . Al, All simulations used to create the figures were made using Matlab with the library RDM, Article, vol.100, issue.2, p.12, 2586.