This book presents the fundamental theory for non-standard
diffusion problems in movement ecology. Levy processes and
anomalous diffusion have shown to be both powerful and useful tools
for qualitatively and quantitatively describing a wide variety of
spatial population ecological phenomena and dynamics, such as
invasion fronts and search strategies. Adopting a self-contained,
textbook-style approach, the authors provide the elements of
statistical physics and stochastic processes on which the modeling
of movement ecology is based and systematically introduce the
physical characterization of ecological processes at the
microscopic, mesoscopic and macroscopic levels. The explicit
definition of these levels and their interrelations is particularly
suitable to coping with the broad spectrum of space and time scales
involved in bio-ecological problems. Including numerous exercises
(with solutions), this text is aimed at graduate students and
newcomers in this field at the interface of theoretical ecology,
mathematical biology and physics.
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