Fig. 6.

Cycle episodes in a stochastic orbit at V = 3. The same procedure used to generate Fig. 2 has been applied to a realization of the discrete-state stochastic model (Eq. 3) with habitat size V = 3. (A) L-stage time-series data. (B–E) LMC with respect to the model-predicted cycles: continuous-state model saddle 11-cycle (B); discrete-state model 6-cycle (which exists for V = 1 but not at V = 3) (C); discrete-state model 3-cycle (which again exists at V = 1 but not at V = 3) (D); and discrete-state model 14-cycle (which exists at V = 3 but not at V = 1) (E). (F) Intervals identified as cycle episodes (see Appendix) are depicted. For the 14-cycle, we used the more stringent K = 15.