112
Abstracts
I Mathematical
Social Sciences 27 (1994) 111-117
intuition can be misleading, and the literature contains numerous examples 01 false inference. Moreover the connections between behavioral processes and spatial pattern may be highly tenuous and sensitive to boundary conditions. Contemporary GIS provide a more rigorous framework for the spatial perspective and for the development of tools which enhance and objectify human spatial intuition. The field and object views are distinguished, and their importance is evaluated in modeling spatial processes. The object view underlies much of human spatial cognition and is the focus of much contemporary research on user interfaces for GIS, while the field view has value in coping with problems of statistical aggregation and modifiable area1 units. Both are necessary and important, but contemporary software designs tend to support one to the exclusion of the other. The spatial perspective has at least six components, ranging from the role of space as a convenient indexing scheme to its use as an explanatory variable. GIS has provided a consistent framework for many of these, but it remains essentially a two-dimensional, static technology, and while its tools for analysis of the positions of objects are well developed, it has only recently begun to address the of a tool for handling of interactions between objects, a vital requirement behavioral research. Much of the attraction of GIS lies in its visual content, which many users see as replacing more rigorous mathematical and statistical analysis. The widespread adoption of GIS within regulatory agencies raises concerns for data quality and scientific rigor that are reminiscent of debates over computer models in economics and planning. At the same time GIS-based analysis may be much more rigorous and objective than the collection of techniques of cartographic and aspatial analysis that it replaces.
The Viable Population: Single Species Reserve Design. Michael Gilpin, Department of Biology, University of California, San Diego, La Jolla, 92093-0116, USA
An optimal reserve system for a species such as the desert tortoise, the Stephens Kangaroo Rat or the California gnatcatcher provides for the maintenance of a viable population (e.g. 5% extinction probability over a 200 year time horizon) for the least cost. The biological and ecological principles that underlay such design derive from island biogeography, population dynamics, population genetics and discretized diffusion-reaction models. This talk outlines how theory and knowledge have lead to local instances of reserve design.
Game Theory and the Social Contract. Ken Binmore, Department of Economics, University of Michigan, Ann Arbor, MI 48109, USA
When Adam Smith wrote the Theory of Moral Sentiments and the Wealth of Nations, he did not feel that he was making contributions to two different subjects