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Modeling Semi-arid Water–Soil–Vegetation Systems in a Changing Climate is a reference text for researchers, graduates, professionals, and managers in dryland management, ecoenvironment, ecohydrology, semi-arid ecosystem resilience, and water resources. It can be used for graduate-level courses, thesis and/or dissertation works, and practical projects. Water–soil–vegetation dynamic nexuses affect and are affected by human activity and climate change. For a given semi-arid ecosystem, inappropriate land manage ment practices can result in soil and vegetation degradation, which in turn will likely alter natural hydrological processes, leading to more frequent and severe flooding and drought. In response, an altered hydrological condition tends to promote soil erosion by wind and water, which in turn can cause further vegetation degradation or even desertification. Such nexuses will likely become more interwoven in a changing climate because a non-stationary climate can further deteriorate the already-altered hydrological conditions. So far our scientific understanding is incomplete regarding how such nexuses can sustain or break the equilibria between water, soil, and/or vegetation in terms of ecosystem resilience. Preface Overview Physical processes Conceptualizations Mathematical models Case studies Overall conclusions and discussion Appendix A: Derivation of equation Appendix B: Derivation of equation Appendix C: Derivation of the first part of equations