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. 2014 Jan 29;9(1):e85602. doi: 10.1371/journal.pone.0085602

Table 1. Predictor variables and model AIC values for the probability that a Magellanic penguin chick died in a storm at Punta Tombo, Argentina, 1983–2010.

Predictor variables k AIC ΔAIC LL AIC weight
a, a2, r, a*r, a2*r, a2*l, a2*r*l (no Low, no interactions between Low and Age or Rain,3-way interaction uses Age2) 8 622.79 0 −303.4 0.47
a, a2, r, l, a*r, a2*r, a2*l, a2*r*l (includes Low, but no interactions betweenLow and Age or Rain, 3-way interaction uses Age2) 9 624.03 1.23 −303.0 0.25
a, a2, r, l, a*r, a*l, a2*r, a2*l, a2*r*l (no Rain-Low interaction, 3-way interaction uses Age2) 10 625.28 2.48 −302.6 0.14
a, a2, r, a*r, a*l, r*l, a2*r, a2*l, a2*r*l (no Low, 3-way interaction uses Age2) 10 626.77 3.98 −303.4 0.06
a, a2, r, l, a*r, a*l, r*l, a2*r, a2*l, a2*r*l (3-way interaction uses Age2) 11 627.03 4.23 −302.5 0.06
a, a2, r, l, a*r, a*l, r*l, a2*r, a2*l, a*r*l, a2*r*l (full model) 12 629.03 6.23 −302.5 0.02
a, a2, r, l, a*r, a*l, r*l, a2*r, a2*l, a*r*l (3-way interaction uses Age) 11 635.45 12.65 −306.7 <0.001
a, a2, r, l, a*r, a*l, r*l, a2*r, a2*l (no 3-way interactions) 10 638.73 15.94 −309.4 <0.001
a, a2, l, a*r, a*l, r*l, a2*r, a2*l, a2*r*l (no Rain, 3-way interaction uses Age2) 10 648.55 25.76 −314.3 <0.001
a, r, l, a*r, a*l, r*l, a2*r, a2*l, a2*r*l (no Age2, 3-way interaction uses Age2) 10 651.61 28.82 −315.8 <0.001
a, a2, r, l, a*r, a*l, r*l, a*r*l (no Age2 interactions) 9 655.04 32.24 −318.5 <0.001
a, a2, r, l, r*l, a2*r, a2*l (no Age interactions and no 3-way interaction) 8 661.17 38.37 −322.6 <0.001
a, a2, r, l, a*r, a2*r (no Low interactions) 7 680.25 57.45 −333.1 <0.001
a, r, l, a*r, a*l, r*l, a*r*l (no Age2 and no Age2 interactions) 8 681.62 58.82 −332.8 <0.001
a, a2, r, a*r, a2*r (no Low and no Low interactions) 6 681.87 59.08 −334.9 <0.001
a, a2, r, l, a*l, a2*l (no Rain interactions) 7 721.75 98.95 −353.9 <0.001
a, a2, r, l (no interactions) 5 724.31 101.51 −357.2 <0.001
a2, r, l, a*r, a*l, r*l, a2*r, a2*l, a2*r*l (no Age, 3-way interaction uses Age2) 10 726.83 104.03 −353.4 <0.001
a2, r, l, r*l, a2*r, a2*l (no Age and no Age interactions, no 3-way interaction) 7 859.00 236.21 −422.5 <0.001
r, l, r*l (no Age, Age2 , or interactions) 4 923.56 300.77 −457.8 <0.001
a, a2, l, a*l, a2*l (no Rain or Rain interactions) 6 1054.93 432.13 −521.5 <0.001

Multiple logistic regression was used, grouping on nest, with robust standard errors on 2482 chicks in 590 nests with 233 storms. a = chick age (days) on date of storm (chicks that did not die in a storm were randomly assigned to a storm), a2 = age squared, r = rain, l = low temperature, * indicates interaction terms, k = number of parameters, AIC = Akaike’s Information Criterion, ΔAIC = the difference between AIC and the lowest AIC, LL = model log-likelihood, AIC weight = the probability that the model is the best model given the data and the set of candidate models. Pseudo R 2 of the best model was 0.57.