-
2
-
-
84867747435
-
Gradual regime shifts in spatially extended ecosystems
-
Bel G., Hagberg A., Meron E. Gradual regime shifts in spatially extended ecosystems. Theor. Ecol. 2012, 5:591-604.
-
(2012)
Theor. Ecol.
, vol.5
, pp. 591-604
-
-
Bel, G.1
Hagberg, A.2
Meron, E.3
-
3
-
-
36149044710
-
Non-linear properties of thermal convection
-
Busse F. Non-linear properties of thermal convection. Rep. Progr. Phys. 1978, 41:1929-1967.
-
(1978)
Rep. Progr. Phys.
, vol.41
, pp. 1929-1967
-
-
Busse, F.1
-
4
-
-
0034886763
-
Periodic spotted patterns in semi-arid vegetation explained by a propagation-inhibition model
-
Couteron P., Lejeune O. Periodic spotted patterns in semi-arid vegetation explained by a propagation-inhibition model. J. Ecol. 2001, 89:616-628.
-
(2001)
J. Ecol.
, vol.89
, pp. 616-628
-
-
Couteron, P.1
Lejeune, O.2
-
5
-
-
0004220764
-
-
Springer-Verlag, Berlin, Heidelberg, New York, Tokyo
-
DeAngelis D.L., Post W.M., Travis C.C. Positive Feedback in Natural Systems 1980, Springer-Verlag, Berlin, Heidelberg, New York, Tokyo.
-
(1980)
Positive Feedback in Natural Systems
-
-
DeAngelis, D.L.1
Post, W.M.2
Travis, C.C.3
-
6
-
-
54249150611
-
The global biogeography of semi-arid periodic vegetation patterns
-
Deblauwe V., Barbier N., Couteron P., Lejeune O., Bogaert J. The global biogeography of semi-arid periodic vegetation patterns. Glob. Ecol. Biogeogr. 2008, 17:715-723.
-
(2008)
Glob. Ecol. Biogeogr.
, vol.17
, pp. 715-723
-
-
Deblauwe, V.1
Barbier, N.2
Couteron, P.3
Lejeune, O.4
Bogaert, J.5
-
7
-
-
84859597566
-
Determinants and dynamics of banded vegetation pattern migration in arid climates
-
Deblauwe V., Couteron P., Bogaert J., Barbier N. Determinants and dynamics of banded vegetation pattern migration in arid climates. Ecol. Monogr. 2012, 82:3-21.
-
(2012)
Ecol. Monogr.
, vol.82
, pp. 3-21
-
-
Deblauwe, V.1
Couteron, P.2
Bogaert, J.3
Barbier, N.4
-
8
-
-
80054994969
-
Environmental modulation of self-organized periodic vegetation patterns in Sudan
-
Deblauwe V., Couteron P., Lejeune O., Bogaert J., Barbier N. Environmental modulation of self-organized periodic vegetation patterns in Sudan. Ecography 2011, 34:990-1001.
-
(2011)
Ecography
, vol.34
, pp. 990-1001
-
-
Deblauwe, V.1
Couteron, P.2
Lejeune, O.3
Bogaert, J.4
Barbier, N.5
-
9
-
-
0001755071
-
AUTO: a program for the automatic bifurcation analysis of autonomous systems
-
Doedel E. AUTO: a program for the automatic bifurcation analysis of autonomous systems. Congr. Numer. 1981, 30:265-284.
-
(1981)
Congr. Numer.
, vol.30
, pp. 265-284
-
-
Doedel, E.1
-
10
-
-
1842839666
-
Semistrong pulse interactions in a class of coupled reaction-diffusion equations
-
Doelman A., Kaper T.J. Semistrong pulse interactions in a class of coupled reaction-diffusion equations. SIAM J. Appl. Dyn. Syst. 2003, 2:53-96.
-
(2003)
SIAM J. Appl. Dyn. Syst.
, vol.2
, pp. 53-96
-
-
Doelman, A.1
Kaper, T.J.2
-
12
-
-
0030618625
-
Banded vegetation: development under uniform rainfall from a simple cellular automaton model
-
Dunkerley D. Banded vegetation: development under uniform rainfall from a simple cellular automaton model. Plant Ecol. 1997, 129:103-111.
-
(1997)
Plant Ecol.
, vol.129
, pp. 103-111
-
-
Dunkerley, D.1
-
13
-
-
84905971113
-
Vegetation mosaics of arid western new South Wales, Australia: considerations of their origin and persistence
-
Springer, (Chapter 12), E. Mueller, J. Wainwright, A. Parsons, L. Turnbull (Eds.)
-
Dunkerley D.L. Vegetation mosaics of arid western new South Wales, Australia: considerations of their origin and persistence. Patterns of Land Degradation in Drylands: Understanding Self-Organised Ecogeomorphic Systems 2013, 315-345. Springer, (Chapter 12). E. Mueller, J. Wainwright, A. Parsons, L. Turnbull (Eds.).
-
(2013)
Patterns of Land Degradation in Drylands: Understanding Self-Organised Ecogeomorphic Systems
, pp. 315-345
-
-
Dunkerley, D.L.1
-
15
-
-
67650228016
-
Nutrients and hydrology indicate the driving mechanisms of peatland surface patterning
-
Eppinga M.B., de Ruiter P.C., Wassen M.J., Rietkerk M. Nutrients and hydrology indicate the driving mechanisms of peatland surface patterning. Am. Nat. 2009, 173:803-818.
-
(2009)
Am. Nat.
, vol.173
, pp. 803-818
-
-
Eppinga, M.B.1
de Ruiter, P.C.2
Wassen, M.J.3
Rietkerk, M.4
-
16
-
-
0015454185
-
A theory of biological pattern formation
-
Gierer A., Meinhardt H. A theory of biological pattern formation. Kybernetik 1972, 12:30-39.
-
(1972)
Kybernetik
, vol.12
, pp. 30-39
-
-
Gierer, A.1
Meinhardt, H.2
-
17
-
-
19544365258
-
Ecosystem engineers: from pattern formation to habitat creation
-
Gilad E., von Hardenberg J., Provenzale a., Shachak M., Meron E. Ecosystem engineers: from pattern formation to habitat creation. Phys. Rev. Lett. 2004, 93:1-4.
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 1-4
-
-
Gilad, E.1
von Hardenberg, J.2
Provenzale, A.3
Shachak, M.4
Meron, E.5
-
18
-
-
0021310291
-
Autocatalytic reactions in the isothermal, continuous stirred tank reactor
-
Gray P., Scott S. Autocatalytic reactions in the isothermal, continuous stirred tank reactor. Chem. Eng. Sci. 1984, 39:1087-1097.
-
(1984)
Chem. Eng. Sci.
, vol.39
, pp. 1087-1097
-
-
Gray, P.1
Scott, S.2
-
19
-
-
0035132978
-
Vegetation pattern formation in semi-arid grazing systems
-
HilleRisLambers R., Rietkerk M., Bosch F.V.D., Prins H.H.T., Kroon H.D. Vegetation pattern formation in semi-arid grazing systems. Ecology 2001, 82:50-61.
-
(2001)
Ecology
, vol.82
, pp. 50-61
-
-
HilleRisLambers, R.1
Rietkerk, M.2
Bosch, F.V.D.3
Prins, H.H.T.4
Kroon, H.D.5
-
20
-
-
0003566946
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
Horsthemke W., Lefever R. Noise-induced Transitions. Theory and Applications in Physics, Chemistry, and Biology 2006, Springer-Verlag, Berlin, Heidelberg, New York. 2nd ed.
-
(2006)
Noise-induced Transitions. Theory and Applications in Physics, Chemistry, and Biology
-
-
Horsthemke, W.1
Lefever, R.2
-
22
-
-
40349101847
-
Rates of change in natural and anthropogenic radiative forcing over the past 20,000 years
-
Joos F., Spahni R. Rates of change in natural and anthropogenic radiative forcing over the past 20,000 years. Proc. Natl. Acad. Sci. U. S. A. 2008, 105:1425-1430.
-
(2008)
Proc. Natl. Acad. Sci. U. S. A.
, vol.105
, pp. 1425-1430
-
-
Joos, F.1
Spahni, R.2
-
23
-
-
84857907975
-
A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment
-
Kealy B.J., Wollkind D.J. A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment. Bull. Math. Biol. 2012, 74:803-833.
-
(2012)
Bull. Math. Biol.
, vol.74
, pp. 803-833
-
-
Kealy, B.J.1
Wollkind, D.J.2
-
25
-
-
84894798117
-
Interplay between Turing mechanisms can increase pattern diversity
-
Kinast S., Zelnik Y.R., Bel G., Meron E. Interplay between Turing mechanisms can increase pattern diversity. Phys. Rev. Lett. 2014, 112:078701.
-
(2014)
Phys. Rev. Lett.
, vol.112
, pp. 078701
-
-
Kinast, S.1
Zelnik, Y.R.2
Bel, G.3
Meron, E.4
-
26
-
-
0033546065
-
Regular and irregular patterns in semiarid vegetation
-
Klausmeier C.A. Regular and irregular patterns in semiarid vegetation. Science (New York, NY) 1999, 284:1826-1828.
-
(1999)
Science (New York, NY)
, vol.284
, pp. 1826-1828
-
-
Klausmeier, C.A.1
-
28
-
-
0032773543
-
Short range co-operativity competing with long range inhibition explains vegetation patterns
-
Lejeune O., Couteron P., Lefever R. Short range co-operativity competing with long range inhibition explains vegetation patterns. Acta Oecol. 1999, 20:171-183.
-
(1999)
Acta Oecol.
, vol.20
, pp. 171-183
-
-
Lejeune, O.1
Couteron, P.2
Lefever, R.3
-
29
-
-
0033117926
-
A model for the explanation of vegetation stripes (tiger bush)
-
Lejeune O., Tlidi M. A model for the explanation of vegetation stripes (tiger bush). J. Veg. Sci. 1999, 10:201-208.
-
(1999)
J. Veg. Sci.
, vol.10
, pp. 201-208
-
-
Lejeune, O.1
Tlidi, M.2
-
30
-
-
41349112280
-
Localized vegetation patches: a self-organized response to resource scarcity
-
Lejeune O., Tlidi M., Couteron P. Localized vegetation patches: a self-organized response to resource scarcity. Phys. Rev. E 2002, 66:010901.
-
(2002)
Phys. Rev. E
, vol.66
, pp. 010901
-
-
Lejeune, O.1
Tlidi, M.2
Couteron, P.3
-
31
-
-
78751558853
-
Soil carbon and climate change: from the Jenkinson effect to the compost-bomb instability
-
Luke C.M., Cox P.M. Soil carbon and climate change: from the Jenkinson effect to the compost-bomb instability. Eur. J. Soil Sci. 2011, 62:5-12.
-
(2011)
Eur. J. Soil Sci.
, vol.62
, pp. 5-12
-
-
Luke, C.M.1
Cox, P.M.2
-
32
-
-
0000402713
-
Vegetation patterns in the semi-desert plains of British Somaliland
-
Macfadyen W. Vegetation patterns in the semi-desert plains of British Somaliland. Geogr. J. 1950, 116:199-211.
-
(1950)
Geogr. J.
, vol.116
, pp. 199-211
-
-
Macfadyen, W.1
-
36
-
-
84860582931
-
Pattern-formation approach to modelling spatially extended ecosystems
-
Meron E. Pattern-formation approach to modelling spatially extended ecosystems. Ecol. Model. 2012, 234:70-82.
-
(2012)
Ecol. Model.
, vol.234
, pp. 70-82
-
-
Meron, E.1
-
37
-
-
0041591007
-
Vegetation patterns along a rainfall gradient
-
Meron E., Gilad E., von Hardenberg J., Shachak M., Zarmi Y. Vegetation patterns along a rainfall gradient. Chaos Solitons Fract. 2004, 19:367-376.
-
(2004)
Chaos Solitons Fract.
, vol.19
, pp. 367-376
-
-
Meron, E.1
Gilad, E.2
von Hardenberg, J.3
Shachak, M.4
Zarmi, Y.5
-
38
-
-
0001102631
-
Complex patterns in a simple system
-
Pearson J.E. Complex patterns in a simple system. Science 1993, 261:189-192.
-
(1993)
Science
, vol.261
, pp. 189-192
-
-
Pearson, J.E.1
-
40
-
-
0036794073
-
Self-organization of vegetation in arid ecosystems
-
Rietkerk M., Boerlijst M.C., Langevelde F.V., Hillerislambers R., Van J., Koppel D., Kumar L., Prins H.H.T., Roos M.D. Self-organization of vegetation in arid ecosystems. Am. Nat. 2002, 160:524-530.
-
(2002)
Am. Nat.
, vol.160
, pp. 524-530
-
-
Rietkerk, M.1
Boerlijst, M.C.2
Langevelde, F.V.3
Hillerislambers, R.4
Van, J.5
Koppel, D.6
Kumar, L.7
Prins, H.H.T.8
Roos, M.D.9
-
41
-
-
4644316410
-
Self-organized patchiness and catastrophic shifts in ecosystems
-
Rietkerk M., Dekker S.C., de Ruiter P.C., van de Koppel J. Self-organized patchiness and catastrophic shifts in ecosystems. Science (New York, NY) 2004, 305:1926-1929.
-
(2004)
Science (New York, NY)
, vol.305
, pp. 1926-1929
-
-
Rietkerk, M.1
Dekker, S.C.2
de Ruiter, P.C.3
van de Koppel, J.4
-
42
-
-
0033910820
-
Multiscale soil and vegetation patchiness along a gradient of herbivore impact in a semi-arid grazing system in West Africa
-
Rietkerk M., Ketner P., Burger J., Hoorens B., Olff H. Multiscale soil and vegetation patchiness along a gradient of herbivore impact in a semi-arid grazing system in West Africa. Plant Ecol. 2000, 148:207-224.
-
(2000)
Plant Ecol.
, vol.148
, pp. 207-224
-
-
Rietkerk, M.1
Ketner, P.2
Burger, J.3
Hoorens, B.4
Olff, H.5
-
43
-
-
40049087110
-
Regular pattern formation in real ecosystems
-
Rietkerk M., van de Koppel J. Regular pattern formation in real ecosystems. Trends Ecol. Evol. 2008, 23:169-175.
-
(2008)
Trends Ecol. Evol.
, vol.23
, pp. 169-175
-
-
Rietkerk, M.1
van de Koppel, J.2
-
45
-
-
0035846180
-
Catastrophic shifts in ecosystems
-
Scheffer M., Carpenter S., Foley J., Folke C., Walker B. Catastrophic shifts in ecosystems. Nature 2001, 413:591-596.
-
(2001)
Nature
, vol.413
, pp. 591-596
-
-
Scheffer, M.1
Carpenter, S.2
Foley, J.3
Folke, C.4
Walker, B.5
-
46
-
-
41149125449
-
Pulse-driven loss of top-down control: the critical-rate hypothesis
-
Scheffer M., Nes E.H., Holmgren M., Hughes T. Pulse-driven loss of top-down control: the critical-rate hypothesis. Ecosystems 2008, 11:226-237.
-
(2008)
Ecosystems
, vol.11
, pp. 226-237
-
-
Scheffer, M.1
Nes, E.H.2
Holmgren, M.3
Hughes, T.4
-
47
-
-
84877153933
-
History-dependent patterns of whole ecosystems
-
Sherratt J.A. History-dependent patterns of whole ecosystems. Ecol. Complex. 2013, 14:8-20.
-
(2013)
Ecol. Complex.
, vol.14
, pp. 8-20
-
-
Sherratt, J.A.1
-
48
-
-
84878397207
-
Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations
-
Sherratt J.A. Numerical continuation of boundaries in parameter space between stable and unstable periodic travelling wave (wavetrain) solutions of partial differential equations. Adv. Comput. Math 2013, 39:175-192.
-
(2013)
Adv. Comput. Math
, vol.39
, pp. 175-192
-
-
Sherratt, J.A.1
-
49
-
-
33750998491
-
Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments
-
Sherratt J.A., Lord G.J. Nonlinear dynamics and pattern bifurcations in a model for vegetation stripes in semi-arid environments. Theor. Popul. Biol. 2007, 71:1-11.
-
(2007)
Theor. Popul. Biol.
, vol.71
, pp. 1-11
-
-
Sherratt, J.A.1
Lord, G.J.2
-
50
-
-
37649011032
-
-
Cambridge University Press, Geneva
-
Solomon S., Qin D., Manning M., Chen Z., Marquis M., Averyt K.B., Tignor M., Miller H.L. IPCC, 2007: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change 2007, Cambridge University Press, Geneva.
-
(2007)
IPCC, 2007: Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change
-
-
Solomon, S.1
Qin, D.2
Manning, M.3
Chen, Z.4
Marquis, M.5
Averyt, K.B.6
Tignor, M.7
Miller, H.L.8
-
51
-
-
20044376798
-
The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities
-
Sun W., Ward M.J., Russell R. The slow dynamics of two-spike solutions for the Gray-Scott and Gierer-Meinhardt systems: competition and oscillatory instabilities. SIAM J. Appl. Dyn. Syst. 2005, 4:904-953.
-
(2005)
SIAM J. Appl. Dyn. Syst.
, vol.4
, pp. 904-953
-
-
Sun, W.1
Ward, M.J.2
Russell, R.3
-
52
-
-
57149096051
-
Role of biomass spread in vegetation pattern formation within arid ecosystems
-
Thompson S., Katul G., McMahon S.M. Role of biomass spread in vegetation pattern formation within arid ecosystems. Water Resour. Res. 2008, 44.
-
(2008)
Water Resour. Res.
, vol.44
-
-
Thompson, S.1
Katul, G.2
McMahon, S.M.3
-
53
-
-
79952684651
-
Vegetation-infiltration relationships across climatic and soil type gradients
-
Thompson S.E., Harman C.J., Heine P., Katul G.G. Vegetation-infiltration relationships across climatic and soil type gradients. J. Geophys. Res. 2010, 115:G02023.
-
(2010)
J. Geophys. Res.
, vol.115
, pp. G02023
-
-
Thompson, S.E.1
Harman, C.J.2
Heine, P.3
Katul, G.G.4
-
54
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing A. The chemical basis of morphogenesis. Bull. Math. Biol. 1953, 237:37-72.
-
(1953)
Bull. Math. Biol.
, vol.237
, pp. 37-72
-
-
Turing, A.1
-
55
-
-
34548103774
-
Scale-dependent feedback and regular spatial patterns in young mussel beds
-
van de Koppel J., Rietkerk M., Dankers N., Herman P.M.J. Scale-dependent feedback and regular spatial patterns in young mussel beds. Am. Nat. 2005, 165:E66-E77.
-
(2005)
Am. Nat.
, vol.165
, pp. E66-E77
-
-
van de Koppel, J.1
Rietkerk, M.2
Dankers, N.3
Herman, P.M.J.4
-
57
-
-
84873408969
-
Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model
-
Van der Stelt S., Doelman A., Hek G., Rademacher J.D.M. Rise and fall of periodic patterns for a generalized Klausmeier-Gray-Scott model. J. Nonlinear Sci. 2013, 23:39-95.
-
(2013)
J. Nonlinear Sci.
, vol.23
, pp. 39-95
-
-
Van der Stelt, S.1
Doelman, A.2
Hek, G.3
Rademacher, J.D.M.4
-
58
-
-
34548443143
-
Diversity of vegetation patterns and desertification
-
Von Hardenberg J., Meron E., Shachak M., Zarmi Y. Diversity of vegetation patterns and desertification. Phys. Rev. Lett. 2001, 87:3-6.
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 3-6
-
-
Von Hardenberg, J.1
Meron, E.2
Shachak, M.3
Zarmi, Y.4
-
59
-
-
23844508901
-
Banded vegetation: biological productivity and resilience
-
Yizhaq H., Gilad E., Meron E. Banded vegetation: biological productivity and resilience. Phys.: Stat. Mech. Appl. 2005, 356:139-144.
-
(2005)
Phys.: Stat. Mech. Appl.
, vol.356
, pp. 139-144
-
-
Yizhaq, H.1
Gilad, E.2
Meron, E.3
-
60
-
-
85046797952
-
Regime shifts in models of dryland vegetation
-
Zelnik Y.R., Kinast S., Yizhaq H., Bel G., Meron E. Regime shifts in models of dryland vegetation. Philos. Trans. R. Soc. A 2013, 371.
-
(2013)
Philos. Trans. R. Soc. A
, pp. 371
-
-
Zelnik, Y.R.1
Kinast, S.2
Yizhaq, H.3
Bel, G.4
Meron, E.5
|