Runoff on rooted trees

We introduce an idealised model for overland flow generated by rain falling on a hill-slope. Our prime motivation is to show how the coalescence of runoff streams promotes the total generation of runoff. We show that, for our model, as the rate of rainfall increases in relation to the soil infiltration rate, there is a distinct phase-change. For low rainfall (the subcritical case) only the bottom of the hill-slope contributes to the total overland runoff, while for high rainfall (the supercritical case) the whole slope contributes and the total runoff increases dramatically. We identify the critical point at which the phase-change occurs, and show how it depends on the degree of coalescence. When there is no stream coalescence the critical point occurs when the rainfall rate equals the average infiltration rate, but when we allow coalescence the critical point occurs when the rainfall rate is less than the average infiltration rate, and increasing the amount of coalescence increases the total expected runoff

Migrant workers in the East Midlands labour market 2007

This report provides a profile of international migrants in the East Midlands and their role in the regional labour marke

Realities of Rape: Of Science and Politics, Causes and Meanings

This review essay discusses the book A Natural History of Rape: Biological Bases of Sexual Coercion, by Randy Thornhill and Craig Palmer (MIT Press, 2000). The essay builds on work previously appearing in Owen D. Jones, Sex, Culture, and the Biology of Rape: Toward Explanation and Prevention, 87 Cal. L. Rev. 827 (1999) and Owen D. Jones, Law and the Biology of Rape: Reflections on Transitions, 11 Hastings Women\u27s Law Journal 151 (2000)

Time-Shifted Rationality and the Law of Law\u27s Leverage: Behavioral Economics Meets Behavioral Biology

A flood of recent scholarship explores legal implications of seemingly irrational behaviors by invoking cognitive psychology and notions of bounded rationality. In this article, I argue that advances in behavioral biology have largely overtaken existing notions of bounded rationality, revealing them to be misleadingly imprecise - and rooted in outdated assumptions that are not only demonstrably wrong, but also wrong in ways that have material implications for subsequent legal conclusions. This can be remedied. Specifically, I argue that behavioral biology offers three things of immediate use. First, behavioral biology can lay a foundation for both revising bounded rationality and fashioning a solid theoretical basis for understanding and predicting many human irrationalities. Second, a principle we may derive from the fundamentals of behavioral biology, which I term time-shifted rationality, can help us to usefully disentangle things currently lumped together under the label of bounded rationality. Doing so suggests that some seeming irrationalities are not, in fact, the product of conventional bounded rationality but are instead the product of a very different phenomenon. As a consequence and by-product of this analysis, it is possible to reconcile some of the supposed irrationalities with an existing rationality framework in a new, more satisfying, and more useful way. Third, behavioral biology affords the raw material for deriving a new principle, which I term the law of law\u27s leverage, that can help us to better understand and predict the effects of law on human behavior. Specifically, it can help us to anticipate the comparative sensitivities of various human behaviors to legal changes in incentives. That is, it enables us to anticipate differences in the slopes of demand curves for various law-relevant behaviors. This law of law\u27s leverage therefore can afford us new, coherent, and systematic power in predicting the comparative costs, to society, of attempting to change behaviors through legal means. And the principle also provides a new and powerful tool for explaining and predicting many of the existing and future architectures of legal systems

The Future of Law and Neuroscience

I was asked to speculate about where the field of Law and Neuroscience may be ten years from now. In that spirit (and while recognizing that the future rarely complies with our predictions) I attempt here some extrapolations. I first consider potential advances in the technologies for monitoring and manipulating brain states, the techniques for analyzing brain data, and the efforts to further integrate relevant fields. I then consider potential neurolaw developments relevant to: (1) detecting things law cares about; (2) individualizing developmental states and brain states; (3) evidence-based legal reforms; (4) legal decision-making; and (5) brain-brain interfaces

Evolutionary Analysis in Law: An Introduction and Application to Child Abuse

For contemporary biologists, behavior - like physical form - evolves. Although evolutionary processes do not dictate behavior in any inflexible sense, they nonetheless contribute significantly to the prevalence of various behavioral predispositions that, in turn, tend to yield observable patterns of behavior within every known species. This Article explores the implications for law of evolved behavioral predispositions in humans, urging both caution and optimism. Part I of the Article provides A Primer in Law-Relevant Evolutionary Biology, assuming no prior knowledge in the subject. Part II coins the term evolutionary analysis in law and proposes a model for conducting it. That part demonstrates how legal thinkers can locate, assess, and use knowledge about evolutionary influences on human behavior to further the pursuit of many existing social and legal goals. The Article illustrates the operation of that method by showing how it could aid ongoing efforts to understand and curb child abuse. Throughout, the emphasis is on how the evolutionary perspective on human behavior will typically and usefully supplement, rather than supplant, prevailing notions of the many influences on behavior and the complex interactions among them