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The stated aims of the Lecture Notes in Biomathematics allow for work that is "unfinished or tentative." This volume is offered in that spirit. The problem addressed is one of the classics of statistical ecology, the estimation of mortality rates from stage-frequency data, but in tackling it we found ourselves making use of ideas and techniques very different from those we expected to use, and in which we had no previous experience. Specifically we drifted towards consideration of some rather specific curve and surface fitting and smoothing techniques. We think we have made some progress (otherwise why publish?), but are acutely aware of the conceptual and statistical clumsiness of parts of the work. Readers with sufficient expertise to be offended should regard the monograph as a challenge to do better. The central theme in this book is a somewhat complex algorithm for mortality estimation (detailed at the end of Chapter 4). Because of its complexity, the job of implementing the method is intimidating. Any reader interested in using the methods may obtain copies of our code as follows: Intelligible Structured Code 1. Hutchinson and deHoog's algorithm for fitting smoothing splines by cross validation 2. Cubic covariant area-approximating splines 3. Cubic interpolating splines 4. Cubic area matching splines 5. Hyman's algorithm for monotonic interpolation based on cubic splines. Prototype User-Hostile Code 6. Positive constrained interpolation 7. Positive constrained area matching 8. The "full method" from chapter 4 9. The "simpler" method from chapter 4.
"Murdoch, Briggs, and Nisbet provide the most insightful development of cohesive ecological theory to have appeared in decades. For those who would say ecology is not making progress, this is the book with which to refute such uninspired myopia. In this era of 'applied' and 'relevant ecology, ' a theory book might seem out of place. But we all need to read this book to remind ourselves how hard it is to really understand nature, and to appreciate the discipline of thinking required when deciphering the consequences of those environmental hazards from which we recoil."--Peter Kareiva, Lead Scientist, The Nature Conservancy "This is a very important, well-written, and well-organized book. Its major contribution is in showing that real consumer-resource dynamics can in fact be understood using a unified theoretical framework. It will appeal to population ecologists but also to applied mathematicians, and will serve as an entree into theoretical ecology for those with less of a theoretical bent."--Alan Hastings, University of California, Davis ""Consumer-Resource Dynamics" is an important book that fills a significant void in the field of theoretical ecology. It brings together the seemingly disparate components of consumer-resource theory under a unifying framework, successfully tackles the challenge of developing models that are both general and testable, and makes complicated mathematical theory accessible to the more empirical minded ecologist. Unlike most books in the field, it presents new theory and new insights, and suggests new empirical directions to pursue. Very well written, it will find a wide audience, from theorists to empiricists, from students to professors, and frombasic scientists to applied researchers. It will provide food for thought even to those who are experts in the field."--Priyanga Amarasekare, University of Chicago
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