On the analysis of non-linear allometries

Ecological Entomology

Volumn 34, Issue 1, 2009, Pages 1-11

  Knell, Robert J ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

Allometry; Allomyrina; Analysis; Dimorphism; Non linear allometry; Onthophagus; Polyphenism; Switchpoint

Indexed keywords

ALLOMETRY; ANT; BEETLE; BODY SIZE; DIMORPHISM; INSECT; MORPHOLOGY;

ALLOMYRINA; ANIMALIA; COLEOPTERA; DERMAPTERA; HEXAPODA; ONTHOPHAGUS;

EID: 58249097176     PISSN: 03076946     EISSN: 13652311     Source Type: Journal    
DOI: 10.1111/j.1365-2311.2008.01022.x     Document Type: Article

References (48)

1. Bean, D. Cook, J.M 2001) Male mating tactics and lethal combat in the nonpollinating fig wasp Sycoscapter australis. Animal Behaviour, 62, 535 542.
2. Burnham, K.P. Anderson, D.R 2002) Model Selection and Multimodel Inference: A Practical Information-Theoretic Approach, 2nd edn. Springer, New York.
3. Cook, D 1987) Sexual selection in dung beetles 1. A multivariate study of the morphological variation in two species of Onthophagus (Scarabaeidae: Onthophagini). Australian Journal of Zoology, 35, 123 132.
4. Cook, J.M. Bean, D 2006) Cryptic male dimorphism and fighting in a fig wasp. Animal Behaviour, 71, 1095 1101.
5. Crawley, M.J 2002) Statistical Computing: An Introduction to Data Analysis using S-Plus. John Wiley and Sons, Chichester, U.K.
6. D'Arcy Thompson, W 1942) Growth and Form. Cambridge University Press, Cambridge, U.K.
7. Eberhard, W.G., Garcia-C, J.M. Lobo, J 2000) Size-specific defensive structures in a horned weevil confirm a classic battle plan: avoid fights with larger opponents. Proceedings of the Royal Society B - Biological Sciences, 267, 1129 1134.
8. Eberhard, W.G. Gutierrez, E.E 1991) Male dimorphisms in beetles and earwigs and the question of developmental constraints. Evolution, 45, 18 28.
9. Emlen, D.J 1994) Environmental-control of horn length dimorphism in the beetle Onthophagus acuminatus (Coleoptera, Scarabaeidae). Proceedings of the Royal Society of London, Series B - Biological Sciences, 256, 131 136.
10. Emlen, D.J 1996) Artificial selection on horn length body size allometry in the horned beetle Onthophagus acuminatus (Coleoptera: Scarabaeidae). Evolution, 50, 1219 1230.
11. Emlen, D.J 2001) Costs and the diversification of exaggerated animal structures. Science, 291, 1534 1536.
12. Emlen, D.J. Nijhout, H.F 2000) The development and evolution of exaggerated morphologies in insects. Annual Review of Entomology, 45, 661 708.
13. Gould, S.J 1966) Allometry and size in ontogeny and phylogeny. Biological Reviews of the Cambridge Philosophical Society, 41, 587 640.
14. Hanley, R.S 2001) Mandibular allometry and male dimorphism in a group of obligately mycophagous beetles (Insecta: Coleoptera: Staphylinidae: Oxyporinae). Biological Journal of the Linnean Society, 72, 451 459.
15. Harvey, D.J. Gange, A.C 2006) Size variation and mating success in the stag beetle, Lucanus cervus. Physiological Entomology, 31, 218 226.
16. Hongo, Y 2003) Appraising behaviour during male-male interaction in the Japanese horned beetle Trypoxylus dichotomus septentrionalis (Kono). Behaviour, 140, 501 517.
17. Hongo, Y 2007) Evolution of male dimorphic allometry in a population of the Japanese horned beetle Trypoxylus dichotomus septentrionalis. Behavioral Ecology and Sociobiology, 62, 245 253.
18. Huxley, J.S 1932) Problems of Relative Growth. Methuen, London.
19. Johnson, J.B. Omland, K.S 2004) Model selection in ecology and evolution. Trends in Ecology and Evolution, 19, 101 108.
20. Karino, K., Niiyama, H. Chiba, M 2005) Horn length is the determining factor in the outcomes of escalated fights among male Japanese horned beetles, Allomyrina dichotoma L. (Coleoptera: Scarabaeidae). Journal of Insect Behavior, 18, 805 815.
21. Karino, K., Seki, N. Chiba, M 2004) Larval nutritional environment determines adult size in Japanese horned beetles Allomyrina dichotoma. Ecological Research, 19, 663 668.
22. Kawano, K 2002) Character displacement in giant rhinoceros beetles. American Naturalist, 159, 255 271.
23. Kim, H.-J. Siegmund, D 1989) The likelihood ratio test for a change-point in simple linear regression. Biometrika, 76, 409 423.
24. Knell, R.J., Pomfret, J.C. Tomkins, J.L 2004) The limits of elaboration: curved allometries reveal the constraints on mandible size in stag beetles. Proceedings of the Royal Society of London Series B - Biological Sciences, 271, 523 528.
25. Kotiaho, J.S. Tomkins, J.L 2001) The discrimination of alternative male morphologies. Behavioral Ecology, 12, 553 557.
26. Luwel, K., Beem, A.L., Onghena, P. Verschaffel, L 2001) Using segmented linear regression models with unknown change points to analyze strategy shifts in cognitive tasks. Behavior Research Methods, Instruments and Computers, 33, 470 478.
27. McLachlan, G. Peel, D 2000) Finite Mixture Models (Wiley Series in probability and statistics). John Wiley and Sons, New York.
28. Miller, K.B. Wheeler, Q.D 2005) Asymmetrical male mandibular horns and mating behavior in Agathidium Panzer (Coleoptera: Leiodidae). Journal of Natural History, 39, 779 792.
29. Moczek, A.P 2006) A matter of measurements: challenges and approaches in the comparative analysis of static allometries. American Naturalist, 167, 606 611.
30. Moczek, A.P., Hunt, J., Emlen, D.J. Simmons, L.W 2002) Threshold evolution in exotic populations of a polyphenic beetle. Evolutionary Ecology Research, 4, 587 601.
31. Muggeo, V.M.R 2003) Estimating regression models with unknown break-points. Statistics in Medicine, 22, 3055 3071.
32. Nijhout, H.F. Wheeler, D.E 1996) Growth models of complex allometries in holometabolous insects. American Naturalist, 148, 40 56.
33. Okada, K., Miyanoshita, A. Miyatake, T 2006) Intra-sexual dimorphism in male mandibles and male aggressive behavior in the broad-horned flour beetle Gnatocerus cornutus (Coleoptera: Tenebrionidae). Journal of Insect Behavior, 19, 457 467.
34. Olden, J.D. Jackson, D.A 2000) Torturing data for the sake of generality: how valid are our regression models? Ecoscience, 7, 501 510.
35. Oosterbaan, R.J 1994). Frequency and regression analysis. Drainage Principles and Applications (ed. by H. P. Ritzema pp. 175 224. ILRI, Wageningen, the Netherlands.
36. Plaistow, S.J., Tsuchida, K., Tsubaki, Y. Setsuda, K 2005) The effect of a seasonal time constraint on development time, body size, condition and morph determination in the horned beetle Allomyrina dichotoma L. (Coleoptera: Scarabaeidae). Ecological Entomology, 30, 692 699.
37. Pomfret, J.C. Knell, R.J 2006) Sexual selection and horn allometry in the dung beetle Euoniticellus intermedius. Animal Behaviour, 71, 567 576.
38. Rowland, J.M., Qualls, C.R. Beaudoin-Ollivier, L 2005) Discrimination of alternative male phenotypes in Scapanes australis (Boisduval) (Coleoptera: Scarabaeidae: Dynastinae). Australian Journal of Entomology, 44, 22 28.
39. Setsuda, K., Tsuchida, K., Watanabe, H., Kaei, Y. Yamada, Y 1999) Size dependent predatory pressure in the Japanese horned beetle, Allomyrina dichotoma L. (Coleoptera: Scarabaeidae). Journal of Ethology, 17, 73 77.
40. Shao, J 1993) Linear model selection by cross-validation. Journal of the American Statistical Association, 88, 486 494.
41. Simmons, L.W. Tomkins, J.L 1996) Sexual selection and the allometry of earwig forceps. Evolutionary Ecology, 10, 97 104.
42. Siva-Jothy, M.T 1987) Mate securing tactics and the cost of fighting in the Japanese horned beetle Allomyrina dichotoma L. (Coleoptera: Scarabaeidae). Journal of Ethology, 5, 165 172.
43. Tomkins, J.L 1999) Environmental and genetic determinants of the male forceps length dimorphism in the European earwig Forficula auricularia L. Behavioral Ecology and Sociobiology, 47, 1 8.
44. Tomkins, J.L. Brown, G.S 2004) Population density drives the local evolution of a threshold dimorphism. Nature, 431, 1099 1103.
45. Tomkins, J.L., Kotiaho, J.S. LeBas, N.R 2005) Matters of scale: positive allometry and the evolution of male dimorphisms. American Naturalist, 165, 389 402.
46. Tomkins, J.L., Kotiaho, J.S. LeBas, N.R 2006) Major differences in minor allometries: a reply to Moczek. American Naturalist, 167, 612 618.
47. Warton, D.I., Wright, I.J., Falster, D.S. Westoby, M 2006) Bivariate line-fitting methods for allometry. Biological Reviews of the Cambridge Philosophical Society, 81, 259 291.
48. Zelditch, M., Swiderski, D., Sheets, D. Fink, W.L 2004) Geometric Morphometrics for Biologists: A Primer. Academic Press, London.