Abstract We consider the forward Kolmogorov equation corresponding to measure-valued processes stemming from a class of interacting particle systems in population dynamics, including variations Bolker–Pacala–Dieckmann-Law model. Under assumption detailed balance, we provide rigorous generalized gradient structure, incorporating fluxes arising birth and death particles. Moreover, large limit, sh...

Abstract Background Drastic increases in wildfire size and frequency threaten western North American sagebrush ( Artemisia L. spp.) ecosystems. At relatively large spatial scales, facilitates type conversion of sagebrush-dominated plant communities to monocultures invasive annual grasses e.g., Bromus tectorum L.). Annual provide fine fuels that promote fire spread, contributing a positive grass...

The large population asymptotics of a spatial epidemic model is studied through the representation of the process as a projection of a higher dimensional Poisson processes. The density process (I n (t)) of infected individuals at time t converges to a determinis-tic process (I(t)). Moreover, there exists a Gaussian process V such that p n(I n ? I) converges to V in the sense of Schwarz distribu...

A computer program has been written and has been applied to LASA time series data from nearly 200 events in order to obtain data for discrimination studies. In general the previously estimated performance of M -m, , spectral ratio, and S D complexity has been corroborated. Some of the specific results are the following. Except for one anomalous earthquake, all shallow earthquakes with m,)4. 8 a...