Measurement of self-organization in arid ecosystems

Journal of Biological Systems

Volumn 18, Issue 2, 2010, Pages 495-508

  Sun, Gui Quan ^a,b   Jin, Zhen ^b   Tan, Qiulin ^a  

^a National Key Laboratory for Electronic Measurement Technology   (China)

^b NORTH UNIVERSITY OF CHINA   (China)

Author keywords

Self Organization; Turing Instability; Vegetation; Wavelength

Indexed keywords

EID: 77953835291     PISSN: 02183390     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218339010003366     Document Type: Article

References (47)

1. Bascompte J, Sole R, Modeling Spatiotemporal Dynamics in Ecology, Biomathematics, Springer-Verlag, Berlin, 1998.
2. Tilman D, Kareiva P, Spatial Ecology, Princeton University Press, Princeton, 1997.
3. Aguiar M, Sala O, Patch structure, dynamics and implications for the functioning of arid ecosystems, Trends Ecol Evol 14:273-277, 1999.
4. von Hardenberg J, Meron E, Shachak M, Zarmi Y, Diversity of vegetation patterns and desertification, Phys Rev Lett 87:198101, 2001.
5. Gilad E, von Hardenberg J, Provenzale A, Shachak M, Meron E, A mathematical model of plants as ecosystem engineers, J Theor Biol 244:680-691, 2007.
6. Yizhaq H, Gilad E, Meron E, Banded vegetation: biological productivity and resilience, Physica A 356:139-144, 2005.
7. Klausmeier CA, Regular and irregular patterns in semiarid vegetation, Science 284:1826-1828, 1999.
8. Rietkerk M, van de Koppel J, Alternate stable states and threshold effects in semi-arid grazing systems, Oikos 79:69-76, 1997.
9. Rietkerk M, Boerlijst MC, van Langevelde F, HilleRisLambers R, van de Koppel J, Kumar L, Prins HHT, de Roos AM, Self-organization of vegetation in arid ecosystems, Am Nat 160:524-530, 2002.
10. Rietkerk M, Dekker S, de Ruiter P, van de Koppel J, Self-organized patchiness and catastrophic shifts in ecosystems, Science 305:1926-1929, 2004.
11. Meron E, Gilad E, von Hardenberg J, Shachak M, Zarmi Y, Vegetation patterns along a rainfall gradient, Chaos Solitons Fractals 19:367-376, 2004.
12. Meron E, Yizhaq H, Gilad E, Localized structures in dryland vegetation: forms and functions, Chaos 17:037109, 2007.
13. Cross MC, Hohenberg P, Pattern formation outside of equilibrium, Rev Mod Phys 65:851-1112, 1993.
14. Valentin C, d'Herb̀es J, Poesen J, Soil and water components of banded vegetation patterns, Catena 37:1-24, 1999.
15. Boeken B, Shachak M, Desert plant communities in human made patches - implications for management, Ecol Appl 4:702-716, 1994.
16. Brooker R, Callaghan T, The balance between positive and negative plant interactions and its relationship to environmental gradients: a model, Oikos 81:196-207, 1998.
17. HilleRisLambers R, Rietkerk M, van den Bosch F, Prins HHT, de Kroon H, Vegetation pattern formation in semi-arid grazing systems, Ecology 82:50-61, 2001.
18. Belsky AJ, Population and community processes in a mosaic grassland in the Serengeti, Tanzania, J Ecol 74:841-856, 1986.
19. 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 148:207-224, 2000.
20. Montana C, The colonization of bare areas in twophase mosaics of an arid ecosystem, Plant Ecol 80:315-327, 1992.
21. Wilson JB, Agnew DQ, Positive-feedback switches in plant communities, Plant Ecol 23:263-336, 1992.
22. Ludwig JA, Tongway DJ, Spatial organisation of landscapes and its function in semiarid woodlands, Australia, Landscape Ecol 10:51-63, 1995.
23. Klausmeier CA, Regular and irregular patterns in semiarid vegetation, Landscape Ecol 284:1826-1828, 1999.
24. Anderson VJ, Hodgkinson KC, Grass-mediated capture of resource flows and the maintenance of banded mulga in a semi-arid woodland, Australian, Aust J Bot 45:331-342, 1997.
25. Bromley J, Brouwer J, Barker AP, Gaze SR, Valentin C, The role of surface water redistribution in an area of patterned vegetation in a semi-arid environment, Southwest Niger, J Hydrol 198:1-29, 1997.
26. van de Koppel J, Rietkerk M, van Langevelde F, Kumar L, Klausmeier CA, Fryxell JM, Hearne JW, van Ande J, de Ridder N, Skidmore A, Stroosnijder L, Prins HHT, Spatial heterogeneity and irreversible vegetation change in semiarid grazing systems, Am Nat 159:209-218, 2002.
27. Leprun JC, The influences of ecological factors on tiger bush and dotted bush patterns along a gradient from Mali to northern Burkina Faso, Catena 37:25-44, 1999.
28. Ludwig JA, Tongway DJ, Eager RW, Williams RJ, Cook GD, Fine-scale vegetation patches decline in size and cover with increasing rainfall in Australian savannas, Landscape Ecol 14:557-566, 1999.
29. Bear J, Verruyt A, Modeling Groundwater Flow and Pollution (Theory and Applications of Transport in Porous Media), D. Reidel, Dordrecht, 1990.
30. RietkerkM, van den Bosch F, van de Koppel J, Site-specific properties and irreversible vegetation changes in semi-arid grazing systems, Oikos 80:241-252, 1997.
31. Hills RC, Lateral flow under cylinder infiltrometers: a graphical correction procedure, J Hydrol 13:153-162, 1971.
32. Lawrence Dingman S, Physical Hydrology, Prentice-Hall, Englewood Cliffs, N.J., 1994.
33. de Wit CT, Transpiration and Crop Yields, Verslagen van Landbouwkundige Onderzoekingen, The Hague, 1958.
34. Okubo A, Diffusion and Ecological Problems: Mathematical Models, Springer, New York, 1989.
35. Cain ML, Models of clonal growth in solidago altissima, J Ecol 78:27-46, 1990.
36. Segel LA, Modeling Dynamic Phenomena in Molecular and Cellular Biology, Cambridge University Press, Cambridge, 1984.
37. Sun G, Jin Z, Liu QX, Li L, Pattern formation in a spatial s-i model with non-linear incidence rates, J Stat Mech 11:11011, 2007.
38. Sun GQ, Jin Z, Liu QX, Li L, Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate, J Stat Mech 2008:P08011, 2008.
39. Uriu K, Iwasa Y, Turing pattern formation with two kinds of cells and a diffusive chemical, Bull Math Biol 69:2515-2536, 2007.
40. Arcuri P, Murray J, Pattern sensitivity to boundary and initial conditions in reactiondiffusion models, J Math Biol 24:141-165, 1986.
41. Crampin E, Gaffney E, Maini P, Reaction and diffusion on growing domains: scenarios for robust pattern formation, J Math Biol 61:1093-1120, 1999.
42. Liu QX, Jin Z, Li BL, Numerical investigation of spatial pattern in a vegetation model with feedback function, J Theor Biol 254:350-360, 2008.
43. D'Odorico P, Porporato A, Preferential states in soil moisture and climate dynamics, Proc Natl Acad Sci USA 101:8848-8851, 2004.
44. D'Odorico P, Ridolfi L, Porporato A, Rodriguez-Iturbe I, Preferential states of seasonal soil moisture: the impact of climate fluctuations, Water Resour Res 36:2209-2219, 2000.
45. D'Odorico P, Laio F, Ridolfi L, Noise-induced stability in dryland plant ecosystems, Proc Natl Acad Sci USA 102:10819-10822, 2005.
46. D'Odorico P, Porporato A, Ridolfi L, Transition between stable states in the dynamics of soil development, Geophys Res Lett 28:595-598, 2001.
47. Isham V, Cox DR, Rodriguez-Iturbe I, Porporato A, Manfreda S, Representation of space-time variability of soil moisture, Proc R Soc Lond A 461:4035-4055, 2005.