Bonan , G. B. , Levis , S. , Stitch , S. , Vertenstein , M. and Oleson , K. W . 2003 . A dynamic global vegetation model for use with climate models: concepts and description of simulated vegetation dynamics . Global Change Biol . 9 , 1543 – 1566 .
Brovkin , V , Claussen , M. , Petoulchov , V. and Ganopolslci , A . 1998 . On the stability of the atmosphere-vegetation system in the Sahara/Sahel region . J. Geophys. Res . 103 , 31 613-31 624 .
Campbell , G. S. and Norman , J. M . 1998 . An Introduction to Environ-mental Biophysics , 2nd edn , Springer , New York .
Chinese Academy of Sciences Comprehensive Survey Group of Inner Mongolia and Ningxia Autonomous Regions 1985 . The Inner Mon-golia Vegetation . Science Press , Beijing .
Claussen , M. , Kubatzki , C. , Brovlcin , V. , Ganopolski , A. , Hoelzmann , P. and co-author 1999. Simulation of an abrupt change in Saharan vegetation in the mid-Holocene. Geophys. Res. Lett . 24 , 2037 – 2040 .
Cox , P. M. , Betts , R. A. , Jones , C. D. , Spall , S. A. and Totterdell , I. J . 2000 . Acceleration of global warming due to carbon-cycle feedbacks in a coupled climate model . Nature 408 , 184 – 187 .
Delworth , T. L. and Manabe , S . 1989 . The influence of soil wetness on near-surface atmospheric variability . J. Climate 2 , 1447 – 1462 .
Dickinson , R. E. , Shaikh , M. , Bryant , R. and Graumlich , L . 1998 . Interactive canopies for a climate model . J. Climate 11 , 2823 – 2836 .
Ek , M. B. , Mitchell , K. E. , Lin , Y. , Rogers , E. , Grunmann , P. and co-authors 2003. Implementation of Noah land surface model advances in the National Centers for Environmental Prediction operational mesoscale Eta model. J. Geophys. Res . 108 , 8851, https://doi.org/10.1029/2002JD003296 .
Gurney , W. S. C. and Nisbet , R. M . 1998 . Ecological Dynamics . Oxford University Press , New York .
Haxeltine , A. and Prentice , I. C . 1996 . BIOME3: an equilibrium terres-trial biosphere model based on ecophysiological constraints, resource availability, and competition among plant functional types . Global Biogeochem. Cycles 10 , 693 – 709 .
Huntingford , C. , Cox , P. M. and Lenton , T. M . 2000 . Contrasting re-sponses of a simple terrestrial ecosystem model to global change . Ecol. Model . 134 , 41 – 58 .
Jiang , S . 1988 . Methodology for Grassland Ecosystem Investigation . Agriculture Press , Beijing .
May , R. M . 1977 . Thresholds and breakpoints in ecosystems with a multiplicity of stable states . Nature 269 , 471 – 477 .
Noy-Meir , I . 1975 . Stability of grazing systems: an application of predator—prey graphs . J. Ecol . 63 , 459 – 481 .
Oyama , M. D. and Nobre , C. A . 2003 . A new climate-vegetation equilib-rium state for Tropical South America . Geophys. Res. Lett . 30 , 2199 , https://doi.org/10.1029/2003GL018600 .
Rietkerk , M. , Boerlijst , M. C. , van Langevelde , E , HilleRisLambers , R. , van de Koppel , J. and co-authors 2002. Self-organization of vegetation in arid ecosystems. Am. Nat. 160, 524 – 530.
Rietkerk , M. , Dekker , S. C. , de Ruiter , P. C. and van de Koppe , J . 2004 . Self-organized patchiness and catastrophic shifts in ecosystems . Sci-ence 305 , 1926 – 1929 .
Scheffer , M. , Carpenter , S. , Foley , J. A. , Folke , C. and Walker , B . 2001 . Catastrophic shifts in ecosystems . Nature 413 , 591 – 596 .
Serafini , Y. V. and Sud , Y. C . 1987 . The time scale of the soil hydrology using a simple water-budget model . J. Climatol 7 , 585 – 591 .
Shen , S. S. P. 1993. A Course on Nonlinear Waves. Kluwer Academic Publishers, Boston, MA.
Svirezhev , Y. M. and von Bloh , W . 1997 . Climate, vegetation and global carbon cycle: the simplest zero-dimensional model . Ecol. Model . 101 , 79 – 95 .
Svirezhev , Y. M. and von Bloh , W . 1998 . A zero-dimensional climate-vegetation model containing global carbon and hydrological cycle . Ecol. Model . 106 , 119 – 127 .
UNEP (United Nations Environment Programme) 1992 . World Atlas of Desertification . Edward Arnold , London .
van de Koppel , J. and Rietkerk , M . 2004 . Spatial interactions and re-silience in arid ecosystems . Am. Nat . 163 , 113 – 121 .
von Hardenberg , J. , Meron , E. , Shachak , M. and Zarmi , Y . 2001 . Di-versity of vegetation patterns and desertification . Phys. Rev. Lett . 87 , 198101 .
Wang , G. and Eltahir , E. A. B . 2000a . Biosphere-atmosphere interactions over West Africa, 2. Multiple climate equilibria . Q. J. R. Meteorol Soc . 126 , 1261 – 1280 .
Wang , G. and Eltahir , E. A. B . 2000b . The role of ecosystem dynamics in enhancing the low-frequency variability of the Sahel rainfall . Water Resour Res . 36 , 1013 – 1021 .
Zeng , N. and Neelin , J. D . 2000 . The role of vegetation—climate inter-action and interannual variability in shaping the African savanna . J. Climate 13 , 2665 – 2670 .
Zeng , Q.-C. , Lu , P. S. and Zeng , X. D . 1994 . Maximum simplified dy-namic model of grass field ecosystem with two variables . Sci. China Ser B 37 , 94 – 103 .
Zeng , Q.-C. and Zeng , X. D . 1996a . An analytical dynamic model of grass field ecosystem with two variables . Ecol Model . 85 , 187 – 196 .
Zeng , X. D. , Shen , S. S. P. , Zeng X. and Dickinson , R. E . 2004 . Multiple equilibrium states and the abrupt transitions in a dynamical system of soil water interacting with vegetation . Geophys. Res. Lett . 31 , 5501 , https://doi.org/10.1029/2003GL018910 .
Zeng , X. D. , Wang , A. H. , Zhao , G. , Shen , S. S. P. , Zeng , X. B. and co-author 2005. Ecological dynamic model of grassland and its practical verification. Sci. China Ser C 48, 41 – 48.
Zeng , X. D. and Zeng , Q.-C . 1996b . Two-variable dynamical model of grass field ecosystem with seasonal variation . Ecol Model . 85 , 197 – 202 .