Short range co-operativity competing with long range inhibition explains vegetation patterns

Acta Oecologica

Volumn 20, Issue 3, 1999, Pages 171-183

  Lejeune, Olivier ^a   Couteron, Pierre ^b   Lefever, René ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b AGROPARISTECH   (France)

Author keywords

Effects of anisotropy; Instability; Intrinsic symmetry breaking; Non local interactions; Tiger bush; Vegetation dynamics

Indexed keywords

MODEL; VEGETATION DYNAMICS;

PANTHERA TIGRIS;

EID: 0032773543     PISSN: 1146609X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1146-609X(99)80030-7     Document Type: Article

References (47)

1. Belsky A.J. Influence of trees on savanna productivity: tests of shade, nutrients, and tree-grass competition. Ecology. 75:1994;922-932.
2. Bernd J. The problem of vegetation stripes in semi-arid Africa. Plant Res. Dev. 8:1978;37-50.
3. Boaler S.B., Hodge C.A.H. Vegetation stripes in Somaliland. J. Ecol. 50:1962;465-474.
4. Boaler S.B., Hodge C.A.H. Observations on vegetation arcs in the northern region, Somali Republic. J. Ecol. 52:1964;511-544.
5. Clos-Arceduc M. Étude sur photographies aériennes d'une formation végétale sahélienne : La brousse tigrée. Bull. Inst. Afr. noire Sér. A. 18:1956;677-684.
6. Cornet A.F., Delhoume J.P., Montaña C. Dynamics of striped vegetation patterns and water balance in the Chihuahuan desert. During H.J, Werger M.J.A, Willems J.H. Diversity and Pattern in Plant Communities. 1988;221-231 SPB Academic Publishing, The Hague.
7. Couteron P. Relations spatiales entre individus et structure d'ensemble dans des peuplements ligneux soudano-sahéliens au nord-ouest du Burkina Faso. Ph.D. thesis, University of Toulouse, France. 1998;223.
8. Couteron P., Kokou K. Woody vegetation spatial patterns in a semi-arid savanna of Burkina Faso, West Africa. Plant Ecol. 132:1997;211-227.
9. Fife P.C. Mathematical Aspects of Reacting and Diffusing Systems. Lecture Notes in Biomathematics 28. Springer-Verlag, Berlin. 1979.
10. Galle S., Seghieri J. Dynamics of soil water content in relation to annual vegetation: the tiger bush in the Sahelian Niger. Ann. Geophys. 12:((suppl. II)):1994;C443.
11. Gavaud M. Étude pédologique du Niger Occidental. Éditions de l'Orstom, Dakkar-Hann :1966.
12. Glover P.E. The root systems of some British-Somaliland plants-IV. East Afr. Agr. J. 17:1951;38-50.
13. Greenwood J.E.G.W. The development of vegetation in Somaliland Protectorate. Geogr. J. 123:1957;465-473.
14. Greig-Smith P. Pattern in vegetation. J. Ecol. 67:1979;755-779.
15. Hemming C.F. Vegetation arcs in Somaliland. J. Ecol. 53:1965;57-67.
16. d'Herbès J.M., Valentin C., Thiéry J.M. La brousse tigrée au Niger : synthèse des connaissances acquises. Hypothèse sur la genèse et les facteurs déterminant les différentes structures contractées. d'Herbès J.M, Ambouta J.M.K, Peltier R. Fonctionnement et gestion des écosystèmes contractés sahéliens. 1997;131-152 John Libbey Eurotext, Paris.
17. Hoppensteadt F.C., Peskin C.S. Mathematics in Medicine and the Life Sciences. Texts in Applied Mathematics 10. Springer-Verlag, Berlin. 1992.
18. Lefever R., Lejeune O. On the origin of tiger bush. Bull. Math. Biol. 59:1997;263-294.
19. Le Houerou H.N. The Grazing Land Ecosystems of the African Sahel. 1989;282 Springer-Verlag, Berlin.
20. Litchfield W.H., Mabbutt J.A. Hardpan in soils of semi-arid Western Australia. J. Soil Sci. 13:1962;148-159.
21. Mabbutt J.A., Fanning P.C. Vegetation banding in arid Western Australia. J. Arid Environ. 12:1987;41-59.
22. Macfadyen W.A. Soil and vegetation in British Somaliland. Nature. 165:1950;121.
23. Macfadyen W.A. Vegetation patterns in the semi-desert plains of British Somaliland. Geogr. J. 116:1950;199-211.
24. Mauchamp A., Rambal S., Lepart J. Simulating the dynamics of a vegetation mosaic: a spatialized functional model. Ecol. Model. 71:1994;107-130.
25. May R.M. Stability and Complexity in Model Ecosystems. 1973;Princeton University Press, New Jersey.
26. Meinhardt H. Models of Biological Pattern Formation. 1982;Academic Press, New York.
27. Montaña C. The colonization of bare areas in two-phase mosaics of an arid ecosystem. J. Ecol. 80:1992;315-327.
28. Montaña C., Lopez-Portillo J., Mauchamp A. The response of two woody species to the conditions created by a shifting ecotone in an arid ecosystem. J. Ecol. 78:1990;789-798.
29. Mugglestone M.A., Renshaw E. Detection of geological lineations on aerial photographs using two-dimensional spectral analysis. Comput. Geosc. 24:1998;771-784.
30. Murray J.D. Mathematical Biology. Biomathematics Texts 19. 1989;Springer-Verlag, Berlin/New York.
31. Poupon H. Structure et dynamique de la strate ligneuse d'une steppe sahélienne au nord du Sénégal. 1980;351 Orstom, Paris.
32. Prigogine I. Structure, dissipation and life. Marois M. Theoretical Physics and Biology. 1969;North-Holland, Amsterdam.
33. Ruxton B.P., Berry L. The Butana grass patterns. J. Soil Sci. 11:1960;61-62.
34. Schlesinger W.H., Reynolds J.F., Cunningham G.L., Huenneke L.F., Jarrell W.M., Virginia R.A., Whitford W.G. Biological feedbacks in global desertification. Science. 247:1990;1043-1048.
35. Thiéry J.M., d'Herbès J.M., Valentin C. A model simulating the genesis of banded vegetation patterns in Niger. J. Ecol. 83:1995;497-507.
36. Tongway D.J., Ludwig J.A. Vegetation and soil patterning in semi-arid mulga lands of Eastern Australia. Aust. J. Ecol. 15:1990;23-34.
37. Turing A.M. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Lond. Ser. B. 237:1952;37-72.
38. Van Der Meulen F., Morris J.W. Striped vegetation patterns in a Transvaal savanna. Geo. Eco. Trop. 3:1979;253-266.
39. Vetaas O.R. Micro-site effects of trees and shrubs in dry savannas. J. Veg. Sci. 3:1992;337-344.
40. White F. The Vegetation of Africa. A Descriptive Memoir to Accompany the Unesco/AEFTAT/UNSO Vegetation Map. 1983;356 Unesco/AEFTAT/UNSO, Paris.
41. White L.P. Vegetation arcs in Jordan. J. Ecol. 57:1969;461-464.
42. White L.P. Brousses tigrées patterns in southern Niger. J. Ecol. 58:1970;549-553.
43. White L.P. Vegetation stripes on sheet wash surfaces. J. Ecol. 59:1971;615-622.
44. Wickens G.E., Collier F.W. Some vegetation patterns in the Republic of the Sudan. Geoderma. 6:1971;43-59.
45. Worrall G.A. The Butana grass patterns. J. Soil Sci. 10:1959;34-53.
46. Worrall G.A. Patchiness in vegetation in the northern Sudan. J. Ecol. 48:1960;107-115.
47. Worrall G.A. Tree patterns in the Sudan. J. Soil Sci. 11:1960;63-67.