A Measure of Landscapes

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Abstract
The structure of a fitness landscape is still an ill-defined concept. This paper introduces a statistical fitness landscape analysis, that can be used on a multitude of fitness landscapes. The result of this analysis is a statistical model that, together with some statistics denoting the explanatory and predictive value of this model, can serve as a measure for the structure of the landscape. The analysis is based on a statistical time series analysis known as the Box-Jenkins approach, that, among others, estimates the autocorrelations of a time series fitness values generated by a random walk on the landscape. From these estimates, a correlation of length for the landscape can be derived.
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