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                  <text>QStrap: bootstrapping confidence intervals around
admixture estimates from STRUCTURE output
Version 3.1

January 4, 2008

Kevin B. Rogers, Aquatic Research, Colorado Division of Wildlife, PO Box 775777,
Steamboat Springs, CO 80477, kevin.rogers@state.co.us
_______________________________________________________________________

Overview
Evaluating taxonomic relationships with microsatellite or AFLP non-diagnostic
markers has generated a need for more complex analysis software to evaluate population
structure with genotype data. One program that has seen increasing popularity for
making these determinations is Program STRUCTURE (Falush et al. 2007; Pritchard et
al. 2007). While the program easily generates average admixture coefficients (q) to
characterize levels of admixture, it does not provide confidence intervals around those
values to yield insight into the precision of the estimated q. QStrap uses the estimated q
values from STRUCTURE runs to bootstrap confidence intervals around admixture
values.

Installation
To install off the application CD, simply double click on the “setup.exe” icon and
follow the instructions. To download QStrap off the web, visit
http://wildlife.state.co.us/Research/Aquatic and click on the software tab in the left
dropdown. Scroll down to the QStrap description and click on the appropriate link.

Running QStrap
QStrap can be invoked by selecting the program from the START menu (PC), or
double clicking on the application (MacOSX). Once open, the percent confidence
interval, number of bootstrap iterations, and bin intervals used for plotting should be
entered.

�The default unknown reference population is set at position six, since that is the most
common position for our cutthrout trout taxonomy work (five reference taxa and one
unknown). If the program is used for other applications, the following dropdown should
reflect the population number of the unknown as indicated in the STRUCTURE output
below:

QStrap is then run by clicking on the right facing arrow on the upper left portion
of the application window.

�Selecting appropriate STRUCTURE output
Once the run arrow is selected, QStrap will prompt the user for the file to analyze.
The current Pisces protocol calls for generating boostrapped confidence intervals around
q-values generated in the STRUCTURE run with the highest log likelihood (best of ten
runs).

Implementation
QStrap uses a basic bootsrapping approach to derive confidence intervals around
mean values of q. Lucid discussions of this approach can be found in Efron and
Tibshirani (1986) and Manly (1997). Basically, a sample of n q-values are drawn with
replacement from the pool of q-values generated by STRUCTURE for the unknown
population of interest based on known reference populations with which admixture is to
be evaluated. This exercise is iterated a user specified number of times (default set at
10,000), and the ordered mean values are plotted. The bounds of the middle 95% of
values (or whatever other user specified confidence interval is entered) then reflect the
upper and lower confidence limits around the mean that is presented.

Interpretation
Sample size
The number of individuals (n) used in the analysis is displayed in the upper right
portion of the window

Probability plot
The resulting mean q-values from every iteration are plotted for each subspecies
so that relative admixture can be assessed. In addition, the confidence intervals that
bound the estimated average q-value are presented for each subspecies to the left of the
plot

�Output table
A table of the individual q-values derived from the STRUCTURE output with the
maximum likelihood is displayed to ensure that the program is reading the appropriate
information. This table also displays the mean and confidence interval bounds generated
from the bootstrapped procedure, and should look something like this:

�Literature cited
Falush, D., M. Stephens, and J. K. Pritchard. 2007. Inference of population structure
using multilocus genotype data: dominant markers and null alleles. Molecular
Ecology Notes.
Pritchard, J. K., X. Wen, and D. Falush. 2007. Documentation for structure software:
Version 2.2. University of Chicago. Available:
http://pritch.bsd.uchicago.edu/software. (June 2007).
Efron, B. and Tibshirani, R. 1986. Bootstrap methods for standard errors, confidence
intervals, and other measures of statistical accuracy. Statistical Science 1:54-77
Manly, B. J. F. 1997. Randomization, bootstrap, and Monte Carlo methods in biology,
2nd edition. Chapman and Hall, London.

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