Modelling for Field Biologists and Other Interesting People
Students of evolutionary and behavioural ecology are often unfamiliar with mathematical techniques, though much of biology relies on mathematics. Evolutionary ideas are often complex, meaning that the logic of hypotheses proposed should not only be tested empirically but also mathematically. There are numerous different modelling tools used by ecologists, ranging from population genetic 'bookkeeping', to game theory and individual-based computer simulations. Due to the many different modelling options available, it is often difficult to know where to start. Hanna Kokko has designed this 2007 book to help with these decisions. Each method described is illustrated with one or two biologically interesting examples that have been chosen to help overcome fears of many biologists when faced with mathematical work, whilst also providing the programming code (Matlab) for each problem. Aimed primarily at students of evolutionary and behavioural ecology, this book will be of interest to any biologist interested in mathematical modelling.
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allele argument assume assumptions barnacle behaviour beneﬁt best response biological biomass Bird migration birds body condition breeding butterﬂy calculate choice consider costs deﬁned deﬁnition denote depends derivative different values diploid dispersal distribution dynamic equals equation equilibrium evolution evolutionary rescue exactly example expected fecundity females ﬁgure ﬁnd ﬁnding ﬁrst ﬁtness ﬁxed foraging frequency function game theory gene genetic genotypes growth haploid happens height increase individuals inﬂuence Kokko look low-quality male male trait male’s mathematical mathematical beauty mating season mating success Matlab means morph mutant natural selection nonmigrants notation one’s optimal options outcomes pA·A parameter patch pay-off perhaps phenotypic photosynthesis plant plot population population genetic possible predators predict probability produce quantitative genetic reaction norm reason reﬂect reproductive success resident strategy result selection sexual simply simulations solutions speciﬁc sufﬁcient survival switchpoint territories Turku zero
Page 16 - In that Empire, the craft of Cartography attained such Perfection that the Map of a Single province covered the space of an entire City, and the Map of the Empire itself an entire Province. In the course of Time, these Extensive maps were found...
Page 16 - Cartographers evolved a Map of the Empire that was of the same Scale as the Empire and that coincided with it point for point. Less attentive to the Study of Cartography, succeeding Generations came to judge a map of such magnitude cumbersome, and, not without Irreverence, they abandoned it to the Rigours of Sun and Rain. In the western Deserts, tattered Fragments of the Map are still to be found...