By Mark A. Lewis, Philip K. Maini, Sergei V. Petrovskii

ISBN-10: 3642354963

ISBN-13: 9783642354960

Dispersal of vegetation and animals is without doubt one of the such a lot attention-grabbing topics in ecology. It has lengthy been well-known as a tremendous issue affecting atmosphere dynamics. Dispersal is outwardly a phenomenon of organic starting place; besides the fact that, due to its complexity, it can't be studied comprehensively by way of organic tools on my own. Deeper insights into dispersal homes and implications require interdisciplinary ways regarding biologists, ecologists and mathematicians. the aim of this ebook is to supply a discussion board for researches with diversified backgrounds and services and to make sure extra advances within the research of dispersal and spatial ecology. This booklet is exclusive in its try to supply an outline of dispersal experiences throughout varied spatial scales, akin to the size of person circulate, the inhabitants scale and the size of groups and ecosystems. it truly is written by means of top-level specialists within the box of dispersal modeling and covers a variety of difficulties starting from the identity of Levy walks in animal circulate to the results of dispersal on an evolutionary timescale.

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**Extra info for Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective (Lecture Notes in Mathematics / Mathematical Biosciences Subseries)**

**Example text**

Theor. 42, 434002 (2009) 5. F. A. Levin, Fractal intermittence in locomotion: linking animal behavior to statistical patterns of search. Proc. Natl. Acad. Sci. USA 105, 19072–19077 (2008) 6. F. Bartumeus, P. E. da Luz, J. V. A. Levin, Superdiffusion and encounter rates in diluted, low dimensional worlds. Eur. Phys. J. Spec. Top. 157, 157–166 (2008) 7. F. Bartumeus, J. M. P. E. da Luz, The influence of turning angles on the success of non-oriented animal searches. J. Theor. Biol. 252, 43–55 (2008) 8.

This idea has generated a huge amount of interest, with numerous studies providing empirical evidence in support of the hypothesis and others criticising some of the methods employed in these. The most common method for identifying L´evy walk behaviour in movement data is to fit a set of candidate distributions to the observed step lengths using maximum likelihood methods. Commonly used candidate distributions are the exponential distribution and the power-law (Pareto) distribution, both on an infinite and a finite (truncated) range.

0 0 α 300 100 200 α 400 300 500 Fig. 5 (a) Robustness of the ballistic optimal search strategy with respect to fluctuations in the distances to faraway target sites. In the case of L´evy random searchers, the average search efficiency Á, (84), is always highest for ! 1 (ballistic dynamics), for any value of the parameter ˛ of the Poissonian fluctuations around the maximum allowed distance, x0 D =2, (75). Cases with uniform and without any (ı-function) fluctuation are also shown. Solid lines are a visual guide.

### Dispersal, Individual Movement and Spatial Ecology: A Mathematical Perspective (Lecture Notes in Mathematics / Mathematical Biosciences Subseries) by Mark A. Lewis, Philip K. Maini, Sergei V. Petrovskii

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