P. G. T. Beauregard: Napoleon.

Donnelly, Ralph W.; Williams, T. Harry

doi:10.2307/1983231

Cited by 2 publications

(3 citation statements)

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“…This means that the probability distribution Π(ξ, t) is completely specified by the first two moments ξ t and ξ 2 t . Multiplying (22) by ξ and ξ 2 and integrating over all ξ one finds…”

Section: Beyond Mean Field Theory For the Non-spatial Modelmentioning

confidence: 99%

“…They have proved useful in several areas of the biological sciences. Perhaps the most obvious application is in population genetics; implicitly in the early work of Fisher and Wright [18], and explicitly in later developments [19,20,21,22,23,24,25]. However they have also been used in a number of other areas such as the study of radioactive particles in animals [26,27,28], the study of patterns of vegetation [29], models of interaction between species [30,31,32] and metapopulation models [33].…”

Section: Introductionmentioning

confidence: 99%

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Stochastic models in population biology and their deterministic analogs

2004

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We introduce a class of stochastic population models based on "patch dynamics." The size of the patch may be varied, and this allows one to quantify the departures of these stochastic models from various mean-field theories, which are generally valid as the patch size becomes very large. These models may be used to formulate a broad range of biological processes in both spatial and nonspatial contexts. Here, we concentrate on two-species competition. We present both a mathematical analysis of the patch model, in which we derive the precise form of the competition mean-field equations (and their first-order corrections in the nonspatial case), and simulation results. These mean-field equations differ, in some important ways, from those which are normally written down on phenomenological grounds. Our general conclusion is that mean-field theory is more robust for spatial models than for a single isolated patch. This is due to the dilution of stochastic effects in a spatial setting resulting from repeated rescue events mediated by interpatch diffusion. However, discrete effects due to modest patch sizes lead to striking deviations from mean-field theory even in a spatial setting.

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Section: Beyond Mean Field Theory For the Non-spatial Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Stochastic models in population biology and their deterministic analogs

2004

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“…Firstly, there is the traditional statist model, the adherents to which "insist that human rights remain primarily a matter of sovereign national jurisdiction and (ought to continue to be) a largely peripheral concern of interna-tional (interstate) relations." 22 Too easily characterized (that is, dismissed) by the critical corpus as a (neo)realist tenet, statism remains at the diplomatic core of contemporary public international relations, and it remains engaging as a result of its complexities and opportunities. 23 Secondly, there is the cosmopolitan model, which sees states as the problem, moves away from their status as fact, and instead posits individuals, along with NGOs, as the challengers from below.…”

Section: Making Rights Work: Continuum Modelsmentioning

confidence: 99%

Speaking Rights to Theory

Hayman

2007

Alternatives: Global, Local, Political

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The status of constructivism as an open and accommodating intellectual approach is at odds with its aim of becoming the most appropriate site for a theory-practice synthesis. As an exemplar of the social concern that forms the ontology of constructivism, human rights is well placed to provide the context of a critique. More often than not, human rights are taken to be an unreliable variable within differently conceived international political schema. It is now an appropriate time to look again at the opportunities that human rights offers in establishing the cohesion of constructivism. Challenging the limitations of preconceived notions of social knowledge, the focus of the article will be on the human-rights side of the equation; namely, its features as a universal and its manifestation as a power, and what they tell us about the requirements for “becoming theory.”

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P. G. T. Beauregard: Napoleon.

Cited by 2 publications

References 0 publications

Stochastic models in population biology and their deterministic analogs

Stochastic models in population biology and their deterministic analogs

Speaking Rights to Theory

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