Table 1.
The major single species population models studied in this paper.
| model | type | name | references | see equation |
|---|---|---|---|---|
| at(1+r(1−at/k)) | S | quadratic | May (1976) | (3.6) |
| at exp(r(1−at/k)) | S | Ricker, discrete logistic | Ricker (1954) | (1.2), (3.2) |
| at exp(r(1−(at/k)θ)) | S | theta-Ricker | Bellows (1981) and Berryman (1999) | (3.5) |
| see equation (3.9) | S | tent | Devaney (1989) | (3.9) |
| k(1−exp(−rat)) | C | Skellam | Skellam (1951) | (3.11) |
| k1at/(1+k2at) | C | Beverton–Holt | Beverton & Holt (1981) | (3.13) |
| see equation (3.12) | C | ‘ramp’ | this paper | (3.12) |
| bn(1−λλ(λ+at/n)−λ) | C | this paper | (3.14) | |
| k1 exp(−k2at)(exp(ck2at)−1)/h | S,C | this paper | (3.15) | |
| k1at/(1+k2at)c | S,C | Hassell | Hassell (1975) | (3.16) |
| S,C | Maynard-Smith–Slatkin | Maynard-Smith (1974) and Maynard-Smith & Slatkin (1973) | (3.17) |
S, scramble competition; C, contest competition.