This equation is well behaved and can be easily solved numerically. What threatened to be a coupled, nonlinear three dimensional estimation problem is actually nothing more than a single nonlinear equation and two linear equations. We have verified that this fitting procedure accurately recovers parameters values from distributions generated both numerically and from the exact solution.

The results appear in Table 1. As a measure of the quality of the fit, we also report the mismatch of between the third moment predicted by the minimal model and observed in the data, as a percentage of the observed value; a positive value indicates that the model moment is larger. Plots of the actual fits appear in Figure 5.

The parameter values are in fact very similar to those obtained in our previous work. The mismatch values range -13.1% to 9.9% and indicate that the distributions resulting from our model closely resembles the genomic distribution.

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