Contributions of the eco-hydrological models incorporating feedbacks to the knowledge of arid and semi-arid ecosystems functioning

Y. Pueyo


Water redistribution is a fundamental mechanism driving the functioning and dynamics of arid and semi-arid ecosystems. There, a positive feedback exists between vegetation biomass and soil water availability for plants, and it is often responsible of a regular spatial pattern development. The consequences of such spatial patterns in plant and water occurrence have been extensively studied in the field of eco-hydrology, both experimentally and theoretically. Here, we review the main contributions of the ecohydrological models incorporating feedbacks to the knowledge of arid and semi-arid ecosystems functioning, as well as the future research needs and directions in this research field.


positive feedback, spatial pattern, eco-hydrology, ecological modelling, vegetation, drylands,


Arnau-Rosalen, E., Calvo-Cases, A., Boix-Fayos, C., Lavee, H., Sarah, P. 2008. Analysis of soil surface component patterns affecting runoff generation. An example of methods applied to Mediterranean hillslopes in Alicante (Spain). Geomorphology 101, 595-606.

Barbier, N., Couteron, P., Lefever, R., Deblauwe, V., Lejeune, O. 2008. Spatial decoupling of facilitation and competition at the origin of gapped vegetation patterns. Ecology 89, 1521-1531.

Baudena, M., D’Andrea, F., Provenzale, A. 2010. An idealized model for tree-grass coexistence in savannas: the role of life stage structure and fire disturbances. Journal of Ecology 98, 74-80.

Bautista, S., Mayor, A.G., Bourakhouadar, J., Bellot, J. 2007. Plant spatial pattern predicts hillslope semiarid runoff and erosion in a Mediterranean landscape. Ecosystems 10, 987-998.

Bedford, D.R., Small, E.E. 2008. Spatial patterns of ecohydrologic properties on a hillslope-alluvial fan transect, central New Mexico. Catena 73, 34-48.

Bergkamp, G., Cerdà, A., Imeson, A.C. 1999. Magnitude-frequency analysis of water redistribution along a climate gradient in Spain. Catena 37, 129-146.

Bhark, E.W., Small, E.E. 2003. Association between plant canopies and the spatial patterns of infiltration in shrubland and grassland of the Chihuahuan Desert, New Mexico. Ecosystems 6, 185-196.

Bochet, E., Rubio, J.L., Poesen, J. 1999. Modified topsoil islands within patchy Mediterranean vegetation in SE Spain. Catena 38, 23-44.

Borgogno, F., D’Odorico, P., Laio, F., Ridolfi, L. 2009. Mathematical models of vegetation pattern formation in ecohydrology. Reviews of Geophysics 47, RG1005.

Callaway, R.M. 2007. Positive interactions and interdependence in plant communities. Springer, Dordrecht, 415 pp.

Castellano, M.J., Valone, T.J. 2007. Livestock, soil compaction and water infiltration rate: Evaluating a potential desertification recovery mechanism. Journal of Arid Environments 71, 97-108.

Cerdà, A. 1997. The effect of patchy distribution of Stipa tenacissima L. on runoff and erosion. Journal of Arid Environments 36, 37-51.

Couteron, P., Lejeune, O. 2001. Periodic spotted patterns in semi-arid vegetation explained by a propagation-inhibition model. Journal of Ecology 89, 616-628.

D’Odorico, P., Laio, F., Ridolfi, L. 2006a. A probabilistic analysis of fire-induced tree-grass coexistence in savannas. American Naturalist 167, E79-E87.

D’Odorico, P., Laio, F., Ridolfi, L. 2006b. Vegetation patterns induced by random climate fluctuations. Geophysical Research Letters 33, L19404.

Dublin, H.T., Sinclair, A.R.E., McGlade, J. 1990. Elephants and fire as causes of multiple states in the Serengeti-Mara woodlands. Journal of Animal Ecology 59, 1147-1164.

Dunkerley, D.L. 1997a. Banded vegetation: Development under uniform rainfall from a simple cellular automaton model. Plant Ecology 129, 103-111.

Dunkerley, D.L. 1997b. Banded vegetation: Survival under drought and grazing pressure based on a simple cellular automaton model. Journal of Arid Environments 35, 419-428.

Dunne, T., Western, D., Dietrich, W.E. 2011. Effects of cattle trampling on vegetation, infiltration, and erosion in a tropical rangeland. Journal of Arid Environments 75, 58-69.

Eldridge, D.J., Greene, R.S.B. 1994. Microbiotic soil crusts - A review of their roles in soil and ecological processes in the rangelands of Australia. Australian Journal of Soil Research 32, 389-415.

Eldridge, D.J., Zaady, E., Shachak, M. 2000. Infiltration through three contrasting biological soil crusts in patterned landscapes in the Negev, Israel. Catena 40, 323-336.

Eldridge, D.J., Bowker, M.A., Maestre, F.T., Alonso, P., Mau, R.L., Papadopoulos, J., Escudero, A. 2010. Interactive effects of three ecosystem engineers on infiltration in a semi-arid Mediterranean grassland. Ecosystems 13, 499-510.

Esteban, J., Fairen, V. 2006. Self-organized formation of banded vegetation patterns in semi-arid regions: A model. Ecological Complexity 3, 109-118.

Gilad, E., Von Hardenberg, J., Provenzale, A., Shachak, M., Meron, E. 2004. Ecosystem engineers: from pattern formation to habitat creation. Physical Review Letters 93, 098105.

Gilad, E., von Hardenberg, J., Provenzale, A., Shachak, M., Meron, E. 2007. A mathematical model of plants as ecosystem engineers. Journal of Theoretical Biology 244, 680-691.

Greigsmith, P. 1979. Pattern in vegetation. Journal of Ecology 67, 755-779.

Guttal, V., Jayaprakash, C. 2007. Self-organization and productivity in semi-arid ecosystems: Implications of seasonality in rainfall. Journal of Theoretical Biology 248, 490-500.

Hamerlynck, E.P., McAuliffe, J.R., McDonald, E.V., Smith, S.D. 2002. Ecological responses of two Mojave Desert shrubs to soil horizon development and soil water dynamics. Ecology 83, 768-779.

HilleRisLambers, R., Rietkerk, M., van den Bosch, F., Prins, H.H.T., de Kroon, H. 2001. Vegetation pattern formation in semi-arid grazing systems. Ecology 82, 50-61.

Hochberg, M.E., Menaut, J.C., Gignoux, J. 1994. The influences of tree biology and fire in the spatial structure of the West African savannah. Journal of Ecology 82, 217-226.

Huxman, T.E., Wilcox, B.P., Breshears, D.D., Scott, R.L., Snyder, K.A., Small, E.E., Hultine, K., Pockman, W.T., Jackson, R.B. 2005. Ecohydrological implications of woody plant encroachment. Ecology 86, 308-319.

Joffre, R., Rambal, S. 1993. How tree cover influences the water balance of Mediterranean rangelands. Ecology 74, 570-582.

Jones, C.G., Lawton, J.H., Shachak, M. 1994. Organisms as ecosystem engineers. Oikos 69, 373-386.

Kéfi, S., Rietkerk, M., Alados, C.L., Pueyo, Y., Papanastasis, V.P., ElAich, A., De Ruiter, P.C. 2007a. Spatial vegetation patterns and imminent desertification in Mediterranean arid ecosystems. Nature 449, 213-217.

Kéfi, S., Rietkerk, M., van Baalen, M., Loreau, M. 2007b. Local facilitation, bistability and transitions in arid ecosystems. Theoretical Population Biology 71, 367-379.

Kefi, S., Rietkerk, M., Katul, G.G. 2008. Vegetation pattern shift as a result of rising atmospheric CO(2) in arid ecosystems. Theoretical Population Biology 74, 332-344.

Kéfi, S., Alados, C.L., Chaves, R.C.G., Pueyo, Y., Rietkerk, M. 2010. Is the patch size distribution of vegetation a suitable indicator of desertification processes? Comment. Ecology 91, 3739-3742.

Klausmeier, C.A. 1999. Regular and irregular patterns in semiarid vegetation. Science 284, 1826-1828.

Lefever, R., Lejeune, O. 1997. On the origin of tiger bush. Bulletin of Mathematical Biology 59, 263-294.

Lejeune, O., Tlidi, M. 1999. A model for the explanation of vegetation stripes (tiger bush). Journal of Vegetation Science 10, 201-208.

Lejeune, O., Couteron, P., Lefever, R. 1999. Short range co-operativity competing with long range inhibition explains vegetation patterns. Acta Oecologica-International Journal of Ecology 20, 171-183.

Lohmann, D., Tietjen, B., Blaum, N., Joubert, D.F., Jeltsch, F. 2012. Shifting thresholds and changing degradation patterns: climate change effects on the simulated long-term response of a semi-arid savanna to grazing. Journal of Applied Ecology 49, 814-823.

Ludwig, J.A., Tongway, D.J., Marsden, S.G. 1999. Stripes, strands and stipples: modelling the influence of three landscape banding patterns on resource capture and productivity in semiarid woodlands, Australia. Catena 37, 257-273.

Ludwig, J.A., Wilcox, B.P., Breshears, D.D., Tongway, D.J., Imeson, A.C. 2005. Vegetation patches and runoff-erosion as interacting ecohydrological processes in semiarid landscapes. Ecology 86, 288-297.

Maestre, F.T., Escudero, A. 2009. Is the patch size distribution of vegetation a suitable indicator of desertification processes? Ecology 90, 1729-1735.

Maestre, F.T., Huesca, M., Zaady, E., Bautista, S., Cortina, J. 2002. Infiltration, penetration resistance and microphytic crust composition in contrasted microsites within a Mediterranean semi-arid steppe. Soil Biology & Biochemistry 34, 895-898.

Maestre, F.T., Cortina, J., Bautista, S., Bellot, J., Vallejo, R. 2003. Small-scale environmental heterogeneity and spatiotemporal dynamics of seedling establishment in a semiarid degraded ecosystem. Ecosystems 6, 630-643.

Maestre, F.T., Valladares, F., Reynolds, J.F. 2005. Is the change of plant-plant interactions with abiotic stress predictable? A meta-analysis of field results in arid environments. Journal of Ecology 93, 748-757.

MARM 2008. Programa de acción nacional contra la desertificación. Ministerio de Medio Ambiente, Medio Rural y Marino. Disponible en:

Millennium Ecosystem Assessment 2005. Ecosystems and human well-being: desertification synthesis. World Resources Institute, Washingon, DC.

Mills, A., Fey, M., Donaldson, J., Todd, S., Theron, L. 2009. Soil infiltrability as a driver of plant cover and species richness in the semi-arid Karoo, South Africa. Plant and Soil 320, 321-332.

Moret, D., Pueyo, Y., Bueno, C.G., Alados, C.L. 2011. Hydro-physical responses of gypseous and non-gypseous soils to livestock grazing in a semi-arid region of NE Spain. Agricultural Water Management 98, 1822-1827.

Murray, J.D. 2001. Mathematical Biology, II: Spatial Models and Biomedical Applications. Springer, New York.

Noy-Meir, I. 1973. Desert ecosystems: environment and producers. Annual Review of Ecology and Systematics 4, 25-51.

Paruelo, J.M., Sala, O.E. 1995. Water losses int he Patagonian steppe: a modelling approach. Ecology 76, 510-520.

Pueyo, Y., Kéfi, S., Alados, C.L., Rietkerk, M. 2008. Dispersal strategies and spatial organization of vegetation in arid ecosystems. Oikos 117, 1522-1532.

Pueyo, Y., Alados, C.L., García-Ávila, B., Kéfi, S., Maestro, M., Rietkerk, M. 2009. Comparing direct abiotic amelioration and facilitation as tools for restoration of semi-arid grassland. Restoration Ecology 17, 908-916.

Pueyo, Y., Kéfi, S., Díaz-Sierra, R., Alados, C.L., Rietkerk, M. 2010. The role of reproductive plant traits and biotic interactions in the dynamics of semi-arid plant communities. Theoretical Population Biology 78, 289-297.

Puigdefabregas, J., Solé, A., Gutiérrez, L., del Barrio, G., Boer, M. 1999. Scales and processes of water and sediment redistribution in drylands: results from the Rambla Honda field site in Southeast Spain. Earth-Science Reviews 48, 39-70.

Reynolds, J.F., Stafford Smith, D.M., Lambin, E.F., Turner, B.L., Mortimore, M., Batterbury, S.P.J., Downing, T.E., Dowlatabadi, H., Fernandez, R.J., Herrick, J.E., Huber-Sannwald, E., Jiang, H., Leemans, R., Lynam, T., Maestre, F.T., Ayarza, M., Walker, B. 2007. Global desertification: Building a science for dryland development. Science 316, 847-851.

Rietkerk, M., Van de Koppel, J. 2008. Regular pattern formation in real ecosystems. Trends in Ecology & Evolution 23, 169-175.

Rietkerk, M., Boerlijst, M.C., van Langevelde, F., HilleRisLambers, R., van de Koppel, J., Kumar, L., Prins, H.H.T., de Roos, A.M. 2002. Self-organization of vegetation in arid ecosystems. American Naturalist 160, 524-530.

Rietkerk, M., Dekker, S.C., de Ruiter, P.C., van de Koppel, J. 2004. Self-organized patchiness and catastrophic shifts in ecosystems. Science 305, 1926-1929.

Rodríguez-Iturbe, I., Porporato, A. 2004. Ecohydrology of water-controlled ecosystems: soil moisture and plant dynamics. Cambridge University Press, New York.

Rodríguez-Iturbe, I., Porporato, A., Laio, F., Ridolfi, L. 2001. Plants in water-controlled ecosystems: active role in hydrological processes and responses to water stress, I. Scope and general outline. Advances in Water Resources 24, 697-705.

Segoli, M., Ungar, E.D., Shachak, M. 2008. Shrubs enhance resilience of a semi-arid ecosystem by engineering and regrowth. Ecohydrology 1, 330-339.

Shachak, M., Sachs, M., Moshe, I. 1998. Ecosystem management of desertified shrublands in Israel. Ecosystems 1, 475-483.

Suding, K.N., Gross, K.L., Houseman, G.R. 2004. Alternative states and positive feedbacks in restoration ecology. Trends in Ecology and Evolution 19, 46-53.

Thiery, J.M., Dherbes, J.M., Valentin, C. 1995. A model simulating the genesis of banded vegetation patterns in Niger. Journal of Ecology 83, 497-507.

Thompson, S., Katul, G., McMahon, S.M. 2008. Role of biomass spread in vegetation pattern formation within arid ecosystems. Water Resources Research 44, W10421.

Tietjen, B., Jeltsch, F. 2007. Semi-arid grazing systems and climate change: a survey of present modelling potential and future needs. Journal of Applied Ecology 44, 425-434.

Tietjen, B., Zehe, E., Jeltsch, F. 2009. Simulating plant water availability in dry lands under climate change: A generic model of two soil layers. Water Resources Research 45, W01418.

Tongway, D.J., Valentin, C., Seghieri, J. 2001. Banded vegetation patterning in arid and semiarid environments. Springer-Verlag, New York.

Turing, A.M. 1990. The chemical basis of morphogenesis. 1953. Bulletin of Mathematical Biology 52, 153-197.

Turnbull, L., Wilcox, B.P., Belnap, J., Ravi, S., D’Odorico, P., Childers, D., Gwenzi, W., Okin, G., Wainwright, J., Caylor, K.K., Sankey, T. 2012. Understanding the role of ecohydrological feedbacks in ecosystem state change in drylands. Ecohydrology 5, 174-183.

Valentin, C., d’Herbès, J.M., Poesen, J. 1999. Soil water components of banded vegetation patterns. Catena 37, 1-24.

Van Langevelde, F., van de Vijver, C., Kumar, L., van de Koppel, J., de Ridder, N., van Andel, J., Skidmore, A.K., Hearne, J.W., Stroosnijder, L., Bond, W.J., Prins, H.H.T., Rietkerk, M. 2003. Effects of fire and herbivory on the stability of savanna ecosystems. Ecology 84, 337-350.

Vega, E., Montana, C. 2011. Effects of overgrazing and rainfall variability on the dynamics of semiarid banded vegetation patterns: A simulation study with cellular automata. Journal of Arid Environments 75, 70-77.

Von Hardenberg, J., Meron, E., Shachak, M., Zarmi, Y. 2001. Diversity of vegetation patterns and desertification. Physical Review Letters 87, 198101.

Walker, B.H., Ludwig, D., Holling, C.S., Peterman, R.M. 1981. Stability of semi-arid savannah grazing systems. Journal of Ecology 69, 473-498.

West, N.E. 1990. Structure and function of microphytic soil crust in wildland ecosystems of arid to semi/arid regions. Advances in Ecological Research 20, 180-223.

Yizhaq, H., Gilad, E., Meron, E. 2005. Banded vegetation: biological productivity and resilience. Physica A: Statistical Mechanics and its Applications 356, 139-144.

Zeng, X., Zeng, X. 2007. Transition and pattern diversity in arid and semiarid grassland: A modeling study. Journal of Geophysical Research-Biogeosciences 112, G04008.


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