The Moran forest

The historical Moran model

We consider a multi-type Moran model (in continuous time) with selection and typedependent mutation. This paper is concerned with the evolution of genealogical information forward in time. For this purpose we define and analytically characterize a pathvalued Markov process that contains in its state at time t the extended ancestral lines (adding genealogical distances) of the population alive a...

Synchrony in Outbreaks of Forest Lepidoptera: a Possible Example of the Moran Effect

I compiled information from the literature on 140 population outbreaks of 26 species of forest Lepidoptera that occurred between the years 1932 and 1992 in the Northern Hemisphere, including Asia, North America, and Europe. Considerable variation in the number of outbreaks occurred among years, with a tendency for outbreaks to be synchronous. Years of numerous outbreaks include 1948, 1956, 1964...

The Moran model with selection

Fluctuating Selection in the Moran

Contrary to classical population genetics theory, experiments demonstrate that fluctuating selection can protect a haploid polymorphism in the absence of frequency dependent effects on fitness. Using forward simulations with the Moran model, we confirm our analytical results showing that a fluctuating selection regime, with a mean selection coefficient of zero, promotes polymorphism. We find th...

Multifractal Decompositions of Moran Fractals

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 ...