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- William F. Fagan, Yanthe E Pearson, +6 authors Emma Elizabeth Goldberg
- Proceedings. Biological sciences
- 2013

The maximum per capita rate of population growth, r, is a central measure of population biology. However, researchers can only directly calculate r when adequate time series, life tables and similarâ€¦ (More)

- Andrew E. Noble, Nico M. Temme, William F. Fagan, Timothy H. Keitt
- Journal of theoretical biology
- 2011

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 centers on an asymmetricâ€¦ (More)

- Andrew E. Noble
- 2008

We argue that, within a broad class of extensions of the Standard Model, there is a tight corellation between the dynamics of the electroweak phase transition and the cubic self-coupling of the Higgsâ€¦ (More)

- William F. Fagan, Robert Stephen Cantrell, Chris Cosner, Thomas E MÃ¼ller, Andrew E. Noble
- Theoretical Ecology
- 2011

Long-distance animal migrations are complex, population-level phenomena that emerge in seasonal landscapes as a result of the interplay between environmental influences (e.g., resources, predators)â€¦ (More)

- Andrew E. Noble, Jonathan Machta, Alan Hastings
- Nature communications
- 2015

Understanding the synchronization of oscillations across space is fundamentally important to many scientific disciplines. In ecology, long-range synchronization of oscillations in spatial populationsâ€¦ (More)

- Andrew E. Noble, William F. Fagan
- Theoretical Ecology
- 2014

We demonstrate how niche theory and Hubbellâ€™s original formulation of neutral theory can be blended together into a general framework modeling the combined effects of selection, drift, speciation,â€¦ (More)

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 equilibriumâ€¦ (More)

- Andrew E. Noble, Todd S Rosenstock, Patrick H. Brown, Jonathan Machta, Alan Hastings
- Proceedings of the National Academy of Sciencesâ€¦
- 2018

Spatial patterning of periodic dynamics is a dramatic and ubiquitous ecological phenomenon arising in systems ranging from diseases to plants to mammals. The degree to which spatial correlations inâ€¦ (More)

We extend the theory of quasipotentials in dynamical systems by calculating an exact potential for the critical fluctuations of pitchfork bifurcations of period-doubling maps in the weak noise limit.â€¦ (More)

- Andrew E. Noble, Alan Hastings, William F. Fagan
- Physical review letters
- 2011

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 equilibriumâ€¦ (More)