A brief guide to model selection, multimodel inference and model averaging in behavioural ecology using Akaike’s information criterion

Ackerman JT, Eadie JM (2003) Current versus future reproduction: an experimental test of parental decisions using nest desertion by mallards (Anas platyrhynchos). Behav Ecol Sociobiol 54:264–273 Akaike H (1973) Information theory as an extension of the maximum likelihood principle. In: Petrov BN, Csaki F (eds) Second international symposium on information theory. Budapest, Akaemiai Kiado, pp 267–281 Bolker BM (2008) Ecological models and data in R. Princeton University Press, Princeton Buckland ST, Burnham KP, Augustin NH (1997) Model selection: an integral part of inference. Biometrics 53:603–618 Burnham KP, Anderson DR (2001) Kullback-Leibler information as a basis for strong inference in ecological studies. Wildlife Res 28:111–119 Burnham KP, Anderson DR (2002) Model selection and multimodel inference, 2nd edn. Springer, New York Burnham KP, Anderson DR (2004) Multimodel inference: understanding AIC and BIC in model selection. Sociol Methods Res 33:261–304 Burnham KP, Anderson DR, Huyvaert KP (2010) AICc model selection in the ecological and behavioral sciences: some background, observations and comparisons. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1029-6 Cardoso GC, Atwell JW, Ketterson ED, Price TD (2007) Inferring performance in the songs of dark-eyed juncos (Junco hyemalis). Behav Ecol 18:1051–1057 Dochtermann NA, Jenkins SH (2010) Developing multiple hypotheses in behavioral ecology. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1039-4 Garamszegi LZ (2010) Information-theoretic approaches to statistical analysis in behavioural ecology: an introduction. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1028-7 Garamszegi LZ, Calhim S, Dochtermann N, Hegyi G, Hurd PL, Jørgensen C, Katsukake N, Lajeunesse MJ, Pollard KA, Schielzeth H, Symonds MRE, Nakagawa S (2009) Changing philosophies and tools for statistical inferences in behavioral ecology. Behav Ecol 20:1363–1375 Guthery FS, Brennan LA, Peterson MJ, Lusk JJ (2005) Information theory in wildlife science: critique and viewpoint. J Wildl Manag 69:457–465 Hawkins BA, Diniz-Filho JAF, Soeller SA (2005) Water links the historical and contemporary components of the Australian bird diversity gradient. J Biogeog 32:1035–1042 Hegyi G, Garamszegi LZ (2010) Using information theory as a substitute for stepwise regression in ecology and behavior. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1036-7 Hilborn R, Mangel M (1997) The ecological detective: confronting models with data. Princeton University Press, Princeton Johnson JB, Omland KS (2004) Model selection in ecology and evolution. Trends Ecol Evol 19:101–108 Kass RE, Raftery AE (1995) Bayes factors. J Am Stat Assoc 90:773–795 Lau B, Glimcher PW (2005) Dynamic response-by-response models of matching behavior in rhesus monkeys. J Exp Anal Behav 84:555–579 Link WA, Barker RJ (2006) Model weights and the foundations of multimodel inference. Ecology 87:2626–2635 Lukacs PM, Burnham KP, Anderson DR (2009) Model selection bias and Freedman’s paradox. Ann Inst Stat Math 62:117–125 Luttbeg B, Hammond JI, Sih A (2009) Dragonfly larvae and tadpole frog space use games in varied light conditions. Behav Ecol 20:13–21 Mazerolle MJ (2006) Improving data analysis in herpetology: using Akaike’s Information Criterion (AIC) to assess the strength of biological hypotheses. Amphibia-Reptilia 27:169–180 Møller AP, Jennions MD (2002) How much variance can be explained by ecologists and evolutionary biologists? Oecologia 132:492–500 Mundry R (2010) Issues in information theory based statistical inference—a commentary from a frequentist’s perspective. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1040-y Nakagawa S, Freckleton RP (2008) Missing inaction: the dangers of ignoring missing data. Trends Ecol Evol 23:592–596 Nakagawa S, Freckleton RP (2010) Model averaging, missing data and multiple imputation: a case study for behavioural ecology. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1044-7 Richards SA (2005) Testing ecological theory using the information-theoretic approach: examples and cautionary results. Ecology 86:2805–2814 Richards SA (2008) Dealing with overdispersed count data in applied ecology. J Appl Ecol 45:218–227 Richards SA, Whittingham MJ, Stephens PA (2010) Model selection and model averaging in behavioural ecology: the utility of the IT-AIC framework. Behav Ecol Sociobiol. doi:10.1007/s00265-010-1035-8 Stephens PA, Buskirk SW, Hayward GD, Martínez del Rio C (2005) Information theory and hypothesis testing: a call for pluralism. J Appl Ecol 42:4–12 Stephens PA, Buskirk SW, Martínez del Rio C (2007) Inference in ecology and evolution. Trends Ecol Evol 22:192–197 Symonds MRE, Johnson CN (2008) Species richness and evenness in Australian birds. Am Nat 171:480–490 Thorup K, Alerstam T, Hake M, Kjellén N (2006) Traveling or stopping of migrating birds in relation to wind: an illustration for the osprey. Behav Ecol 17:497–502 Towner MC, Luttbeg B (2007) Alternative statistical approaches to the use of data as evidence for hypotheses in human behavioral ecology. Evol Anthropol 16:107–118 Whittingham MJ, Stephens PA, Bradbury RB, Freckleton RP (2006) Why do we still use stepwise modeling in ecology and behaviour? J Anim Ecol 75:1182–1189