Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa

dc.contributor.authorRichardson, F D
dc.contributor.authorHoffman, Michael Timm
dc.contributor.authorGillson, Lindsey
dc.date.accessioned2017-10-25T13:06:59Z
dc.date.available2017-10-25T13:06:59Z
dc.date.issued2010
dc.date.updated2016-01-21T10:13:43Z
dc.description.abstractPredicting the effect of different management strategies on range condition is a challenge for farmers in highly variable environments. A model that explains how the relations between rainfall, livestock and vegetation composition vary over time and interact is needed. Rangeland ecosystems have a hierarchical structure that can be described in terms of vegetation composition, stocking rate and rainfall at the ecosystem level, and the performance of individual animals and plants at the lower level. In this paper, we present mathematical models that incorporate ideas from complex systems theory to integrate several strands of rangeland theory in a hierarchical framework. Compared with observed data from South Africa, the model successfully predicted the relationship between rainfall, vegetation composition and animal numbers over 30 years. Extending model runs over 100 years suggested that initial starting conditions can have a major effect on rangeland dynamics (divergence), and that hysteresis is more likely during a series of low rainfall years. Our model suggests that applying an upper threshold to animal numbers may help to conserve the biodiversity and resilience of grazing systems, whilst maintaining farmers’ ability to respond to changing environmental conditions, a management option here termed controlled disequilibrium.
dc.identifierhttp://dx.doi.org/10.2989/10220119.2010.520676
dc.identifier.apacitationRichardson, F. D., Hoffman, M. T., & Gillson, L. (2010). Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa. <i>African Journal of Range and Forage Science</i>, http://hdl.handle.net/11427/25815en_ZA
dc.identifier.chicagocitationRichardson, F D, Michael Timm Hoffman, and Lindsey Gillson "Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa." <i>African Journal of Range and Forage Science</i> (2010) http://hdl.handle.net/11427/25815en_ZA
dc.identifier.citationRichardson, F. D., Hoffman, M. T., & Gillson, L. (2010). Modelling the complex dynamics of vegetation, livestock and rainfall in asemiarid rangeland in South Africa. African Journal of Range & Forage Science, 27(3), 125-142.t
dc.identifier.ris TY - AU - Richardson, F D AU - Hoffman, Michael Timm AU - Gillson, Lindsey AB - Predicting the effect of different management strategies on range condition is a challenge for farmers in highly variable environments. A model that explains how the relations between rainfall, livestock and vegetation composition vary over time and interact is needed. Rangeland ecosystems have a hierarchical structure that can be described in terms of vegetation composition, stocking rate and rainfall at the ecosystem level, and the performance of individual animals and plants at the lower level. In this paper, we present mathematical models that incorporate ideas from complex systems theory to integrate several strands of rangeland theory in a hierarchical framework. Compared with observed data from South Africa, the model successfully predicted the relationship between rainfall, vegetation composition and animal numbers over 30 years. Extending model runs over 100 years suggested that initial starting conditions can have a major effect on rangeland dynamics (divergence), and that hysteresis is more likely during a series of low rainfall years. Our model suggests that applying an upper threshold to animal numbers may help to conserve the biodiversity and resilience of grazing systems, whilst maintaining farmers’ ability to respond to changing environmental conditions, a management option here termed controlled disequilibrium. DA - 2010 DB - OpenUCT DP - University of Cape Town J1 - African Journal of Range and Forage Science LK - https://open.uct.ac.za PB - University of Cape Town PY - 2010 T1 - Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa TI - Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa UR - http://hdl.handle.net/11427/25815 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/25815
dc.identifier.vancouvercitationRichardson FD, Hoffman MT, Gillson L. Modelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa. African Journal of Range and Forage Science. 2010; http://hdl.handle.net/11427/25815.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.sourceAfrican Journal of Range and Forage Science
dc.source.urihttp://www.tandfonline.com/loi/tarf20
dc.subject.othercatastrophe theory
dc.subject.othercomplexity theory
dc.subject.otherdisequilibrium
dc.subject.otherhysteresis
dc.subject.othermoving attractors
dc.titleModelling the complex dynamics of vegetation livestock and rainfall in a semiarid rangeland in South Africa
dc.typeJournal Article
uct.type.filetypeText
uct.type.filetypeImage
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