Current phylogenetic comparative methods generally employ the Ornstein–Uhlenbeck(OU) process for modeling trait evolution. Being able of tracking the optimum of a trait within a group of related speci
We consider a neighborhood random walk on a quadrant {(X1(t),X2(t),φ(t)):t≥0} with environment phase variable φ ( t ) modeled by a continuous-time Markov chain with φ(t)∈Snm when X <s
The time-dependence of the state variables has been explicitly stated in the transition propensities to differentiate the state variables from parameters. Transitions in the stochastic model.
CTMC model transitions between states and rates. For each time interval, the number of each event that occurs is sampled from a Poisson distribution with the mean of τ times the corresponding transiti