2015
DOI: 10.1098/rspa.2015.0179
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Plant biomass and soil moisture dynamics: analytical results

Abstract: In semi-arid ecosystems, successful use of the limited water resources is of central importance in determining the evolutionary trends of the vegetation. The competition between different species and individuals for this resource is driven by variations in physiology and metabolic regulation strategies, expressed by such parameters as rooting depth, wilting point or stomatal opening, among others. It is typically not practical to simulate the full evolutionary dynamics of every plant individual in the landscap… Show more

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Cited by 12 publications
(30 citation statements)
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“…The modeling approach described above is used to examine the biomass response to an alternating regime of wet and dry seasons, as found at the study site. Schaffer et al (3) showed that for typical dryland parameter values, the end-of-season biomass would be significantly different from that of the constantparameter steady state (a similar calculation is performed in ref.…”
Section: Discussionmentioning
confidence: 99%
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“…The modeling approach described above is used to examine the biomass response to an alternating regime of wet and dry seasons, as found at the study site. Schaffer et al (3) showed that for typical dryland parameter values, the end-of-season biomass would be significantly different from that of the constantparameter steady state (a similar calculation is performed in ref.…”
Section: Discussionmentioning
confidence: 99%
“…The stochasticity of this infiltration process, with arrival rate λ and a rescaled mean infiltration depth 1/θ (again, expressed as a fraction of the root zone water storage volume), induces a probability density function (pdf) on the biomass-soil moisture state space. Schaffer et al (3) showed that for constant rainfall parameters this system allowed for an exact, closed-form steady-state pdf, but also, in recognition of the fact that convergence to this state might take longer than the length of a typical (constant parameter) season, derived an approximation of the system's transient behavior. This approximation exploits the fact that biomass varies on a much slower timescale than soil moisture, so that changes in biomass on an interval of interest (such as a season) involve an integration that tends to average out the soil moisture fluctuations in that interval, allowing for a simple estimation of the marginal pdf of biomass.…”
Section: [2]mentioning
confidence: 99%
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