For a population with any given number of types, we construct a new multivariate Moran process with frequency-dependent selection and establish, analytically, a correspondence to equilibrium Lotka-Volterra phenomenology. This correspondence, on the one hand, allows us to infer the phenomenology of our Moran process based on much simpler Lokta-Volterra phenomenology, and on the other, allows us ...

The entropy rates of the Wright-Fisher process, the Moran process, and generalizations are computed and used to compare these processes and their dependence on standard evolutionary parameters. Entropy rates are measures of the variation dependent on both short-run and long-run behavior, and allow the relationships between mutation, selection, and population size to be examined. Bounds for the ...

Abstract We analyze the multifractal decomposition of Moran fractals using Olsen Multifractal Measure (OMM). show that this measure is non-singular when Halsey’s partition function takes value 1, result has two consequences, one them defines mass τ ( q ), other it also a statistical ν in terms probability vector P ). The Hausdorff dimension f ) concentration set equal with Holder exponent evalu...

We present a rigorous construction and generalization of the multifractal decomposition for Moran fractals with intinite product measure. The generalization is specilied by a system of nonnegative weights in the partition sum. All the usual (smooth) properties of thef(a) theory are recovered for the case that the weights are equal to unity. The generalized spectrum, !(a, r~), is invariant to a ...

Moran had the vision to realize that the core of a medical school must be teaching units with whole-time academic staff. Teaching by part-time clinicians, of whom he was one, was no longer enough. In his determination to push this idea through, and in the money he raised, he served his medical school well. He became Churchill's doctor soon after he became prime minister and remained more or les...