Skip to main content
Log in

On the origin of tiger bush

  • Published:
Bulletin of Mathematical Biology Aims and scope Submit manuscript

Abstract

We propose a model which describes the dynamics of vast classes of terrestrial plant communities growing in arid or semi-arid regions throughout the world. On the basis of this model, we show that the vegetation stripes (tiger bush) formed by these communities result from an interplay between short-range cooperative interactions controlling plant reproduction and long-range self-inhibitory interactions originating from plant competition for environmental resources. Isotropic as well as anisotropic environmental conditions are discussed. We find that vegetation stripes tend to orient themselves in the direction parallel or perpendicular with respect to a direction of anisotropy depending on whether this anisotropy influences the interactions favouring or inhibiting plant reproduction; furthermore, we show that ground curvature is not a necessary condition for the appearance of arcuate vegetation patterns. In agreement within situ observations, we find that the width of vegetated bands increases when environmental conditions get more arid and that patterns formed of stripes oriented parallel to the direction of a slope are static, while patterns which are perpendicular to this direction exhibit an upslope motion.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Ambouta, K. 1984. Contribution à l'édaphologie de la brousse tigrée de l'Ouest Nigérien. Thèse de Docteur-Ingénieur, Université de Nancy I.

  • Audry, P. and Ch. Rossetti. 1996. Is the banded pattern merely a structural expression of an instable pioneer vegetation. Communication atSALT Int. Symp: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.Acta Oecologica, to appear.

  • Beard, J. S. 1967. A study of patterns in some West Australian Health and Mallee communities.Aust. J. Bot. 15, 131–139.

    Article  Google Scholar 

  • Bernd, J. 1978. The problem of vegetation stripes in semi-arid Africa.Plant. Res. and Develop. 8, 37–50.

    Google Scholar 

  • Boaler, S. B. and C. A. H. Hodge. 1962. Vegetation stripes in Somaliland.J. Ecol. 50, 465–474.

    Article  Google Scholar 

  • Boaler, S. B. and C. A. H. Hodge. 1964. Observations on vegetation arcs in the northern region, Somali Republic,J. Ecol. 52, 511–544.

    Article  Google Scholar 

  • Clayton, W. D. 1966. Vegetation ripples near Gummi, Nigeria.J. Ecol. 54, 415–417.

    Article  Google Scholar 

  • Clos-Arceduc, M. 1956. Etude sur photographies aériennes d'une formation végétale sahélienne: la brousse tigrée.Bull. Inst. Afr. noire Sér. A 18, 677–684.

    Google Scholar 

  • Clos-Arceduc, M. 1964. La géométrie des associations végétales en zone aride.Act. Conf. UNESCO: Explorations aériennes et études intégrées. Toulouse, pp. 419–421.

  • Cornet, A. F., J. P. Delhoume and C. Montaña. 1988. Dynamics of striped vegetation patterns and water balance in the chihuahuan desert. InDiversity and Pattern in Plant Communities, H. J. During, M. J. A. Werger and J. H. Willems (Eds), pp. 221–231. The Hague: SPB Academic Publishing.

    Google Scholar 

  • Couteron, P. 1996. Comparison of spatial patterns of woody species in a spotted savanna and a tiger bush of Northern Yatenga (Burkina Faso, West Africa). Communication atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.

  • Cross, M. C. and P. C. Hohenberg. 1993. Pattern formation outside of equilibrium.Rev. Mod. Phys. 65, 851–1112.

    Article  Google Scholar 

  • Dunkerley, D. and K. Brown. 1996. Banded vegetation near Broken Hill, Australia: significance of surface roughness and soil physical properties. Communication atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.Catena, to appear.

  • Ehrman, M., S. Galle, J. Seghieri and C. Valentin. 1996. Patterning and pioneer processes of the herbaceous front in a tiger bush. Communication atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management, Paris, France.

  • Fife, P. C. 1979.Mathematical Aspects of Reacting and Diffusing Systems. Lecture Notes in Biomathematics, Vol. 28. Berlin/New York: Springer-Verlag.

    Google Scholar 

  • Galle, S. and J. Seghieri. 1994. Dynamics of soil water content in relation to annual vegetation: the tiger bush in the sahelian Niger.Ann. Geophys. Suppl. II 12, C443.

    Google Scholar 

  • Gavaud, M. 1966. Etude pédologique du Niger Occidental. Editions de l'ORSTOM de Dakkar-Hann.

  • Glover, P. E., E. C. Trump and L. E. D. Wateridge. 1964. Termitaria and vegetation patterns on the Loita plains of Kenya.J. Ecol. 52, 367–377.

    Article  Google Scholar 

  • Greenwood, J. E. G. W. 1957. The development of vegetation in Somaliland Protectorate.Geogr. J. 123, 465–473.

    Article  Google Scholar 

  • Greig-Smith, P. 1979. Pattern in vegetation.J. Ecol. 67, 755–779.

    Article  Google Scholar 

  • Grove, A. T. 1957. Patterned ground in Northern Nigeria.Geogr. J. 123, 271–274.

    Google Scholar 

  • Gunton, J. D., M. San Miguel and P. S. Sahni. 1983. The dynamics of first order transitions. InPhase Transitions and Critical Phenomena, C. Domb and J. L. Lebowitz (Eds), Vol. 8. New York: Academic Press.

    Google Scholar 

  • Hemming, C. F. 1965. Vegetation arcs in SomalilandJ. Ecol. 53, 57–67.

    Article  Google Scholar 

  • Humphreys, G. S., J. Eddy, D. M. Hart, P. B. Mitchell and P. C. Fanning. 1996. Vegetation arcs and litter dams: similarities and differences. Poster atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.Catena, to appear.

  • Ives, R. L. 1946. Desert ripples.Am. J. Sci. 244, 492–501.

    Article  Google Scholar 

  • Langer, J. S. 1992. An introduction to the kinetics of first-order phase transitions. InSolids Far from Equilibrium, C. Godrèche (Ed), pp. 297–363. Cambridge, UK: Cambridge University Press.

    Google Scholar 

  • Levin, S. A. and L. A. Segel. 1985. Pattern generation in space and aspect.SIAM Rev. 27, 45–67.

    Article  MATH  MathSciNet  Google Scholar 

  • Litchfield, W. H. and J. A. Mabbutt. 1962. Hardpan in soils of semi-arid Western Australia.J. Soil Sci. 13, 148–159.

    Article  Google Scholar 

  • Mabbutt, J. A. and P. C. Fanning. 1987. Vegetation banding in arid Western Australia.J. Arid Env. 12, 41–59.

    Google Scholar 

  • Macfadyen, W. A. 1950a. Soil and vegetation in British Somaliland.Nature 165, 121.

    Google Scholar 

  • Macfadyen, W. A. 1950b. Vegetation patterns in the semi-desert plains of British Somaliland.Geogr. J. 116, 199–211.

    Article  Google Scholar 

  • Mauchamp, A., S. Rambal and J. Lepart. 1994. Simulating the dynamics of a vegetation mosaic: a spatialized functional model.Ecol. Mod. 71, 107–130.

    Article  Google Scholar 

  • Moloney, K. A. 1986. Wave and nonwave regeneration processes in a subalpine Abies balsamea forest.Can. J. Bot. 64, 341–349.

    Google Scholar 

  • Montaña, C., J. Lopez-Portillo and A. Mauchamp. 1990. The response of two woody species to the conditions created by a shifting ecotone in an arid ecosystem.J. Ecol. 78, 789–798.

    Article  Google Scholar 

  • Montaña, C. 1992. The colonization of bare areas in two-phase mosaics of an arid ecosystem.J. Ecol. 80, 315–327.

    Article  Google Scholar 

  • Murray, J. D. 1993.Mathematical Biology. Biomathematics Texts, 2nd ed., Vol. 19. Berlin/New York: Springer-Verlag.

    Google Scholar 

  • Ouedraogo, P. and M. Lepage. 1996. Termite-soil-vegetation interactions in a striped vegetation pattern, Burkina Faso. Communication atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.Acta Oecologica, to appear.

  • Ruxton, B. P. and L. Berry. 1960. The Butana grass patterns.J. Soil Sci. 11, 61–62.

    Article  Google Scholar 

  • Schlesinger, W. H., J. F. Reynolds, G. L. Cunningham, L. F. Huenneke, W. M. Jarrell, R. A. Virginia and W. G. Whitford. 1990. Biological feedbacks in global desertification.Science,247, 1043–1048.

    Google Scholar 

  • Thiéry, J. M., J.-M. d'Herbès and C. Valentin. 1995. A model simulating the genesis of banded vegetation patterns in Niger.J. Ecol. 83, 497–507.

    Article  Google Scholar 

  • Tongway, D. J. and J. A. Ludwig. 1990. Vegetation and soil patterning in semi-arid mulga lands of Eastern Australia.Aust. J. Ecol. 15, 23–34.

    Article  Google Scholar 

  • Turing, A. M. 1952. The chemical basis of morphogenesis.Phil. Trans. Roy. Soc. Lond., Ser. B 237, 37–72.

    Google Scholar 

  • Valentin, C. and J.-M. d'Herbès. 1996. The Nigerian tiger bush as natural water harvesting system. Communication atSALT Int. Symp.: Banded vegetation patterning in arid and semi-arid environment. Ecological processes and consequences for management. Paris, France.Catena, to appear.

  • Van Der Meulen, F. and J. W. Morris. 1979. Striped vegetation patterns in a Transvaal savanna.Geo-Eco-Trop. 3, 253–266.

    Google Scholar 

  • Vesey-Fitzgerald, D. F. 1957. The vegetation of the Red Sea coast north of Jedda, Saudi Arabia.J. Ecol. 45, 547–562.

    Article  Google Scholar 

  • White, L. P. 1969. Vegetation arcs in Jordan.J. Ecol. 57, 461–464.

    Article  Google Scholar 

  • White, L. P. 1970.Brousses Tigrées patterns in Southern Niger.J. Ecol. 58, 549–553.

    Article  Google Scholar 

  • White, L. P. 1971. Vegetation stripes on sheet wash surfaces.J. Ecol. 59, 615–622.

    Article  Google Scholar 

  • Wickens, G. E. and F. W. Collier. 1971. Some vegetation patterns in the Republic of the Sudan.Geoderma 6, 43–59.

    Article  Google Scholar 

  • Wilson, J. B. and A. D. Q. Agnew. 1992. Positive feedback switches in plant communities.Adv. Ecol. Res. 23, 263–336.

    Article  Google Scholar 

  • Worrall, G. A. 1959. The Butana grass patterns.J. Soil Sci. 10, 34–53.

    Article  Google Scholar 

  • Worrall, G. A. 1960a. Patchiness in vegetation in the Northern Sudan.J. Ecol. 48, 107–115.

    Article  Google Scholar 

  • Worrall, G. A. 1960b. Tree patterns in the Sudan.J. Soil Sci. 11, 63–67.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lefever, R., Lejeune, O. On the origin of tiger bush. Bltn Mathcal Biology 59, 263–294 (1997). https://doi.org/10.1007/BF02462004

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02462004

Keywords

Navigation