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It looks like I could solve the question. My understanding is as follows. Let $(X_1,Y_1)$, $(X_2,Y_2)$ (corresponds to $i,j$ and $k,l$ in the question) be the genotypes of two individuals at some location. We assume that neither individual is in-bred. In this case define, \begin{align*} \Delta_7&= \text{Pr}(\text{Both alleles $\{X_1,Y_1\}$ and ...


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The paper by Graczyk (2007) is probably relevant for you. It says that the Gini index is a measure of reactive selectivity of kinases, with values close to zero indicating no selectivity and values close to one indicating high selectivity, and it is created in direct parallel to the Gini index in economics, which is used to describe economic inequality. In ...


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The NCBI Taxonomy statistics page displays the following information: There are currently 73540 genera, 331418 species, and 23127 taxa of higher order. Since the number of taxa decreases with the genericity of the taxon, there are probably around 20000 families, give or take a few thousand.


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The Plant List has 642 families listed: http://www.theplantlist.org/1.1/about/#changes. For a quick comparison, Wikipedia lists 522 fish families: en.wikipedia.org/wiki/List_of_fish_families 136 mammal families: en.wikipedia.org/wiki/Mammal_classification 61 amphibian families: en.wikipedia.org/wiki/List_of_amphibians 57 reptile families: ...


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(This isn't an answer, but hopefully it will help get it past the experimental design into just solving the equation.) Where did you get that α0 was not determined from their data? On p. 10 (256), they state, "The prevailing direction of effective pollen dispersal within neighbourhoods (a0) that gave the best fit of the model was 91 degrees from north ...



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