21 citations · 44 across the 5 of their papers we have counts for
5 papers
A hybrid model for the population dynamics of periodical cicadas
Jon Machta, Julie Blackwood, Andrew Noble +2
In addition to their unusually long life cycle, periodical cicadas, {\it Magicicada} spp., provide an exceptional example of spatially synchronized life stage phenology in nature.…
Critical fluctuations of noisy period-doubling maps
Andrew E. Noble, Saba Karimeddiny, Alan Hastings +1
We extend the theory of quasipotentials in dynamical systems by calculating, within a broad class of period-doubling maps, an exact potential for the critical fluctuations of pitch…
A Multivariate Moran Process with Lotka-Volterra Phenomenology
Andrew E. Noble, Alan Hastings, William F. Fagan
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 e…
A niche remedy for the dynamical problems of neutral theory
Andrew E. Noble, William F. Fagan
We demonstrate how niche theory and Hubbell's original formulation of neutral theory can be blended together into a general framework modeling the combined effects of selection, dr…
A sampling theory for asymmetric communities
Andrew E. Noble, Nico M. Temme, William F. Fagan +1
We introduce the first analytical model of asymmetric community dynamics to yield Hubbell's neutral theory in the limit of functional equivalence among all species. Our focus cente…