M. Scheffer, S. R. Carpenter, Trends Ecol. Evol.18, 648 (2003).
M. Rietkerk, J. van de Koppel, Oikos79, 69 (1997).
M. Scheffer et al., Trends Ecol. Evol.8, 275 (1993).
S. R. Carpenter et al., Ecol. Appl.9, 751 (1999).
C. G. Jones et al., Oikos69, 373 (1994).
P. Rohani et al., Trends Ecol. Evol.12, 70 (1997).
10.1126/science.284.5421.1826
P. Couteron, O. Lejeune, J. Ecol.89, 616 (2001).
R. HilleRisLambers et al., Ecology82, 50 (2001).
J. Von Hardenberg et al., Phys. Rev. Lett.87, 198101 (2001).
M. Rietkerk et al., Am. Nat.160, 524 (2002).
N. M. Shnerb et al., Phys. Rev. Lett.90, 038101 (2003).
O. Lejeune et al., Int. J. Quantum Chem.98, 261 (2004).
O. Lejeune et al., Phys. Rev. E66, 010901 (2002).
A. J. Belsky, Ecology75, 922 (1994).
R. M. Callaway et al., Nature417, 844 (2002).
10.1016/S0169-5347(02)00045-9
W. H. Schlesinger et al., Ecology77, 364 (1996).
R. A. Lindsay et al., Aquilo Ser. Bot.21, 69 (1985).
L. R. Belyea, J. Lancaster, J. Ecol.90, 223 (2002).
Y. Sakaguchi, Bull. Dept. Geogr. Univ. Tokyo12, 35 (1980).
D. R. Foster et al., Nature306, 256 (1983).
D. K. Swanson, D. F. Grigal, Oikos53, 509 (1988).
M. Rietkerk et al., Am. Nat.163, 699 (2004).
D. W. Hilbertet al., J. Ecol.88, 230 (2000).
L. R. Belyea, R. S. Clymo, Proc. R. Soc. London Ser. B268, 1315 (2001).
M. Rietkerk et al., Oikos80, 241 (1997).
M. Rietkerk et al., Plant Ecol.148, 207 (2000).
J. M. Thiery et al., J. Ecol.83, 497 (1995).
A. Turing, Philos. Trans. R. Soc. London Ser. B273, 37 (1952).
H. Meinhardt The Algorithmic Beauty of Sea Shells (Springer Berlin 1995).
S. L. Judd et al., Physica D136, 45 (2000).
V. Castets et al., Phys. Rev. Lett.64, 2953 (1990).
Q. Ouyang et al., J. Phys. Chem.96, 6773 (1992).
J. D. Murray Mathematical Biology vol. 19 of Biomathematics Texts (Springer-Verlag Berlin 1989).
J. Ludwiget al. Landscape Ecology Function and Management: Principles from Australia's Rangelands (CSIRO Collingwood Victoria Australia 1997).
We thank W. Bleuten P. Couteron C. Klausmeier E. Lapshina O. Lejeune E. Meron and M. Wassen for sharing photographs and M. Scheffer P. Herman and two anonymous referees for thoughtful comments that increased the clarity of the manuscript. Supported by a VIDI grant of the Netherlands Organization of Scientific Research (NWO-ALW) (M.R.).