Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decomposing the site frequency spectrum: the impact of tree topology on
  neutrality tests   We investigate the dependence of the site frequency spectrum (SFS) on the
topological structure of genealogical trees. We show that basic population
genetic statistics - for instance estimators of $\theta$ or neutrality tests
such as Tajima's $D$ - can be decomposed into components of waiting times
between coalescent events and of tree topology. Our results clarify the
relative impact of the two components on these statistics. We provide a
rigorous interpretation of positive or negative values of an important class of
neutrality tests in terms of the underlying tree shape. In particular, we show
that values of Tajima's $D$ and Fay and Wu's $H$ depend in a direct way on a
peculiar measure of tree balance which is mostly determined by the root balance
of the tree. We present a new test for selection in the same class as Fay and
Wu's $H$ and discuss its interpretation and power. Finally, we determine the
trees corresponding to extreme expected values of these neutrality tests and
present formulae for these extreme values as a function of sample size and
number of segregating sites.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph