Ecological Archives E087-087-A3

Brett A. Melbourne and Peter Chesson. 2006. The scale transition: scaling up population dynamics with field data. Ecology 87:1478–1488.

Appendix C. Details of rock-scale model fits.

TABLE C1. Parameter estimates, residual sum of squares, maximum-likelihood estimate of variance, negative log likelihood, number of estimated parameters (including the variance), and Akaike information criterion for fits of rock-scale models.


Model

Parameter estimates

r.s.s.

L

p

AIC


Models for periphyton growth

Resource gradient

P0 = 0.236/d,
 = 2.23×10-3 µg-1·cm2,
m = 0.111/d

15.63

0.391

37.96

4

83.92

Logistic

r = 0.0981/d,
K = 782.6 µg/cm2

15.70

0.392

38.05

3

82.10

Exponential growth

r = 0.0347/d

32.85

0.821

52.82

2

109.63

Constant accumulation

 = 14.52 µg·cm-2·d-1

18.93

0.473

41.80

2

87.60

Models for removal rate of periphyton by grazers

Type III

b = 1.00×10-5 µg-2·cm4·d -1,
h = 0.912/d

7.409

0.412

17.55

3

41.10

Type II

a = 1.41×10-3 µg-1·cm2·d-1,
h = 0.00×10-7/d

8.466

0.470

18.75

3

43.50

Linear increase

a = 1.41×10-3 µg-1·cm2·d -1

8.466

0.470

18.75

2

41.50

Saturated

c = 0.116 µg·cm -2·d-1

14.253

0.792

23.44

2

50.88




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