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There isprobably no more appropriate location to hold a course on mathematical ecology than Italy, the countryofVito Volterra, a founding father ofthe subject. The Trieste 1982Autumn Course on Mathematical Ecology consisted of four weeksofvery concentrated scholasticism and aestheticism. The first weeks were devoted to fundamentals and principles ofmathematicalecology.A nucleusofthe material from the lectures presented during this period constitutes this book. The final week and a half of the Course was apportioned to the Trieste Research Conference on Mathematical Ecology whose proceedings have been published as Volume 54, Lecture Notes in Biomathematics, Springer-Verlag. The objectivesofthe first portionofthe course wereambitious and, probably, unattainable. Basic principles of the areas of physiological, population, com- munitY,and ecosystem ecology that have solid ecological and mathematical foundations were to be presented. Classical terminology was to be introduced, important fundamental topics were to be developed, some past and some current problems of interest were to be presented, and directions for possible research were to be provided.
Due to time constraints, the coverage could not be encyclopedic;many areas covered already have merited treatises of book length. Consequently, preliminary foundation material was covered in some detail, but subject overviewsand area syntheseswerepresented when research frontiers were being discussed. These lecture notes reflect this course philosophy.
Contents
I. Introduction.- Ecology: An Idiosyncratic Overview.- II. Physiological and Behavioral Ecology.- Biophysical Ecology: An Introduction to Organism Response to Environment.- An Overview of Foraging Theory.- III. Population Ecology.- Population Dynamics in a Homogeneous Environment.- The Formulation of Age-Structure Models.- Analysis of Age-Structure Models.- Random Walk Models of Movement and Their Implications.- Stochastic Population Theory: Birth and Death Processes.- Stochastic Population Theory: Diffusion Processes.- IV. Communities and Ecosystems.- Community Dynamics in a Homogeneous Environment.- Interacting Age Structured Populations.- Population Models and Community Structure in Heterogeneous Environments.- Stochastic Community Theory: A Partially Guided Tour.- A Theoretical Basis for Modeling Element Cycling.- V. Applied Mathematical Ecology.- Bioeconomics and the Management of Renewable Resources.- Population Biology of Microparasitic Infections.- Author Index.
