“…Understanding the aspects and tendencies of complex population dynamics observed in natural ecosystems (Ellner and Turchin, 1995;Ranta et al, 1995;Widdicombe et al, 2010) as well as in the laboratory (Costantino et al, 1997;Yoshida et al, 2003;Becks et al 2005) is important for both theoretical and practical reasons, and indeed it has been a central point of ecological research for several decades (Nicholson, 1954;Luckinbill, 1974;Turchin, 2003;Odum and Barrett, 2004;Begon et al, 2005). Whilst empirical studies provide invaluable information such as, for instance, examples of different dynamics (Becks et al 2005;Yoshida et al, 2003), a theoretical approach is necessary in order to generalize and systematize the results of field observations or lab experiments.…”