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2 wrz 2011 · The geometric mean of relative abundance indices, G, is increasingly being used to examine trends in biological diversity and to assess whether biodiversity targets are being met. Here, we explore the mathematical and statistical properties of G that make it useful for judging temporal change in biological diversity, and we discuss its ...
This article starts by reviewing the differences between various measures of fitness, for example, individual fitness, absolute fitness, relative fitness and geometric mean fitness.
1 gru 2007 · Because the geometric mean is G≈μ−σ 2 /(2 μ), where μ is the (arithmetic) mean and σ 2 is the variance in absolute fitness, the allele favored by natural selection is the one that best boosts μ while reducing σ 2.
The absolute fitness (W) of a genotype is defined as the proportional change in the abundance of that genotype over one generation attributable to selection.
Relative fitness is a concave function of absolute fitness. In the example shown, p = q = 0.5 and W2 = 0.5. It should also be noted that the extent of the concave relationship between w1 and W1 depends on p: as p gets very small the relationship be-comes nearly linear (Frank and Slatkin 1990).
This is an essay about the conceptual foundations of modern biology and the role that mathematics can play for biology. Traditionally, two aspects have been considered as fundamental for or constitutive of life, reproduction and metabolism.
1 maj 2001 · These estimators are called x * and s*, where x * is the geometric mean of the data (McAlister 1879; eq. 4 in the box below). More robust but less efficient estimates can be obtained from the median and the quartiles of the data, as described in the box below.