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. 2012 Nov 15;2(12):3168–3178. doi: 10.1002/ece3.418

Table 2.

The effect of varying model parameters on the fitted relationships among body size, mean population density, and variance in population density

Parameter and range Mean: body size (1) Variance: body size (2) Variance: mean (3)
Diet breadth σ [1.3, 1.65]
 Exponent [−0.7, −0.6] [−1.4, −1.2] [1.7, 2]
 Intercept [−7, −4] [−∞,−10] [−∞, 2]
r2 [0.73, 0.89] [0.76, 0.91] [0.98, 1.00]
Preferred predator-to-prey mass ratio β [4, 6]
 Exponent [−0.8, −0.5] [−1.4, −1.1] [1.6, 2.1]
 Intercept [−7, −4] [−∞,−9] [−∞, 3]
r2 [0.79, 0.90] [0.81, 0.89] [0.97, 1.00]
Maturation midpoint xm [10.5, 13]
 Exponent [−0.8, −0.5] [−1.4, −1.2] [1.7, 1.9]
 Intercept [−5, −4] [−∞,−10] [−∞,−2]
r2 [0.85, 0.98] [0.85, 0.92] [0.98, 1.00]
Maximum plankton size xp [0, 3]
 Exponent [−0.8, −0.6] [−1.3, −1.2] [1.6, 1.8]
 Intercept [−5, −3] [−∞, −9] [−∞,−2]
r2 [0.88, 0.98] [0.88, 0.97] [0.96, 1.00]
Plankton spectrum exponent −γ [−2.2, −1.5]
 Exponent [−0.8, −0.6] [−1.4, −1.2] [1.7, 1.8]
 Intercept [−6, −4] [−14, −9] [−4, −2]
r2 [0.86, 0.90] [0.86, 0.88] [0.99, 1.00]

Lower bounds of −∞ for intercepts indicate that the variance tended to zero within the investigated parameter range.