Salient features in the locomotion of proboscideans revealed via the differential scaling of limb long bones

Biological Journal of the Linnean Society

Volumn 100, Issue 1, 2010, Pages 16-29

  Kokshenev, Valery B ^a   Christiansen, Per ^b  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^b AALBORG ZOO   (Denmark)

Author keywords

Extinct and extant elephants; Limb gradient functions; Long bone scaling models; Standard differential scaling

Indexed keywords

ALLOMETRY; BENDING; BODY MASS; ELEPHANT; ENDANGERED SPECIES; GRAVITY FIELD; KINEMATICS; LIMB; LOCAL ADAPTATION; LOCOMOTION; PHYLOGENETICS; THEORETICAL STUDY; TORSION;

ELEPHANTIDAE; ELEPHAS MAXIMUS; LOXODONTA; LOXODONTA AFRICANA; MAMMALIA; PROBOSCIDEA (MAMMAL);

EID: 77952935246     PISSN: 00244066     EISSN: 10958312     Source Type: Journal    
DOI: 10.1111/j.1095-8312.2010.01415.x     Document Type: Article

References (64)

1. Alexander RMcN. Allometry of the limbs of antelopes (Bovidae). Journal of Zoology, London 1977, 183:125-146.
2. Alexander RMcN. Animal mechanics 1983, Oxford, Blackwell Science Publishers.
3. Alexander RMcN. The maximum forces exerted by animals. Journal of Experimental Biology 1985, 115:211-238.
4. Alexander RMcN. Optimization and gaits in the locomotion of vertebrates. Physiological Review 1989, 69:1199-1227.
5. Alexander RMcN, Jayes AS. A dynamic similarity hypothesis for the gaits of quadrupedal mammals. Journal of Zoology, London 1983, 201:135-152.
6. Alexander RMcN, Jayes AS, Maloiy GMO, Wathuta EM. Allometry of the limb bones of mammals from shrews (Sorex) to elephant (Loxodonta). Journal of Zoology, London 1979a, 189:305-314.
7. Alexander RMcN, Maloiy GMO, Hunter B, Jayes AS, Nturibi J. Mechanical stresses in fast locomotion of buffalo (Syncerus caffer) and elephant (Loxodonta Africana). Journal of Zoology, London 1979b, 189:135-144.
8. Barriel V, Thuet E, Tassy P. Molecular phylogeny of Elephantidae. Extreme divergence of the extant forest African elephant. Comptes Rendus de L'Academie des Sciences 1999, 322:447-454. Ser. III
9. Bertram JEA, Biewener AA. Differential scaling of the long bones in the terrestrial Carnivora and other mammals. Journal of Morphology 1990, 204:157-169.
10. Biewener AA. Allometry of quadrupedal locomotion: the scaling of duty factor, bone curvature, and limb orientation to body size. Journal of Experimental Biology 1983, 105:147-171.
11. Biewener AA. Mammalian terrestrial locomotion and size. Mechanical design principles define limits. Bioscience 1989, 3:776-783.
12. Biewener AA. Biomechanics of mammalian terrestrial locomotion. Science 1990, 250:1097-1103.
13. Biewener AA. Biomechanical consequences of scaling. Journal of Experimental Biology 2005, 208:1665-1676.
14. Biewener AA, Thomason J, Goodship A, Lanyon LE. Bone stress in the horse forelimb during locomotion at different gaits: a comparison of two experimental methods. Journal of Biomechanics 1983a, 16:565-576.
15. Biewener AA, Thomason J, Lanyon LE. Mechanics of locomotion and jumping in the forelimb of the horse (Equus): in vivo stress developed in the radius and metacarpus. Journal of Zoology, London 1983b, 201:67-82.
16. Biewener AA, Thomason J, Lanyon LE. Mechanics of locomotion and jumping in the forelimb of the horse (Equus): in vivo stress in the tibia and metatarsus. Journal of Zoology, London 1988, 214:547-565.
17. Biewener AA, Yoo E, McGuigan MP. Is there a proximal-distal gradient of limb muscle function? Journal of Biomechanics 2006, 39(1):S358-S358. Suppl.
18. Blashford-Snell J, Lenska R. Mammoth hunt: in search for the giant elephants of Bardia 1996, London, HarperCollins
19. Carrano MT, Biewener AA. Experimental alteration of limb posture in the chicken (Gallus gallus) and its bearing on the use of birds as analogs for dinosaur locomotion. Journal of Morphology 1999, 240:237-249.
20. Christiansen P. Strength indicator values of theropod long bones, with comments on limb proportions and cursorial potential. GAIA 1998, 15:241-255.
21. Christiansen P. Scaling of the limb long bones to body mass in terrestrial mammals. Journal of Morphology 1999a, 239:167-190.
22. Christiansen P. Scaling of mammalian long bones: small and large mammals compared. Journal of Zoology, London 1999b, 247:333-348.
23. Christiansen P. Mass allometry of the appendicular skeleton in terrestrial mammals. Journal of Morphology 2002, 251:195-209.
24. Christiansen P. Long-bone geometry in columnar-limbed animals: allometry of the proboscidean appendicular skeleton. Zoological Journal of the Linnean Society 2007, 149:423-436.
25. Currey JD. The many adaptations of bone. Journal of Biomechanics 2003, 36:1487-1495.
26. Daley MA, Felix G, Biewener AA. Running stability is enhanced by a proximo-distal gradient in joint neuromechanical control. Journal of Experimental Biology 2007, 210:383-394.
27. Economos AC. Elastic and/or geometric similarity in mammalian design? Journal of Theoretical Biology 1983, 103:167-172.
28. Frost H. Skeletal structural adaptations to mechanical usage (SATMU): 1. Redefining Wolff's Law: the bone modeling problem. Anatomical Record 1990, 26:403-413.
29. Gambaryan PP. How mammals run. Anatomical adaptations 1974, New York, John Wiley & Sons
30. Gatesy SM. Hindlimb scaling in birds and other theropods: implications for terrestrial locomotion. Journal of Morphology 1991, 209:83-96.
31. Heglund NC, Taylor CR, McMahon TA. Scaling stride frequency and gait to animal size: mice to horses. Science 1974, 186:1112-1113.
32. Hutchinson JR, Famini D, Lair R, Kram R. Are fast-moving elephants really running? Nature 2003, 422:493-494.
33. Hutchinson JR, Schwerda D, Famini DJ, Dale RHI, Fischer MS, Kram R. The locomotor kinematics of Asian and African elephants: changes with speed and size. Journal of Experimental Biology 2006, 209:3812-3827.
34. Kokshenev VB. Observation of mammalian similarity through allometric scaling laws. Physica A 2003, 322:491-505.
35. Kokshenev VB. Dynamics of human walking at steady speeds. Physical Review Letters 2004, 93:1-4. 208101
36. Kokshenev VB. New insights into long-bone biomechanics: are limb safety factors invariable across mammalian species? Journal of Biomechanics 2007, 40:2911-2918.
37. Kokshenev VB. A force-similarity model of activated muscle is able to predict primary locomotor functions. Journal of Biomechanics 2008, 41:912-915.
38. Kokshenev VB, Silva JKL, Garcia GJM. Long-bone allometry of terrestrial mammals and the geometric-shape and elastic-force constraints of bone evolution. Journal of Theoretical Biology 2003, 224:551-555.
39. Lamb KJ, Lewthwaite JC, Lin J, Simon D, Kavanagh E, Wheeler-Jones CPD, Pitsillides AA. Diverse range of fixed positional deformities and bone growth restraint provoked by flaccid paralysis in embryonic chicks. International Journal of Experimental Pathology 2003, 84:191-199.
40. Laws RM, Parker ISC, Johnstone RCB. Elephants and their habits. The ecology of elephants in North Bunyoro, Uganda 1975, Oxford, Clarendon Press
41. McFarlan D. The guinness book of records 1992, Enfield, Middlesex, Guinness Publ. Ltd
42. McKay GM. Behaviour and ecology of the Asiatic elephant in southeastern Ceylon. Smithsonian Contributions to Zoology 1973, 125:1-113.
43. McMahon TA. Size and shape in biology. Science 1973, 179:1201-1204.
44. McMahon TA. Using body size to understand the structural design of animals: quadrupedal locomotion. Journal of Applied Physiology 1975a, 39:619-627.
45. McMahon TA. Allometry and biomechanics: limb bones of adult ungulates. American Naturalist 1975b, 107:547-563.
46. Mosley JR, Lanyon LE. Strain rate as a controlling influence on adaptive modelling in response to dynamic loading of the ulna in growing male rats. Bone 1998, 23:313-318.
47. Mosley JR, March BM, Lynch J, Lanyon LE. Strain magnitude related changes in whole bone architecture in growing rats. Bone 1997, 20:191-198.
48. Pennycuick CJ. On the running of the gnu (Connochaetes taurinus) and other animals. Journal of Experimental Biology 1975, 63:775-799.
49. Pilla NG. On the height and age of an elephant. Journal of the Bombay Natural History Society 1941, 42:927-928.
50. Prange HD, Anderson JF, Rahn H. Scaling of skeletal mass to body mass in birds and mammals. American Naturalist 1979, 113:103-122.
51. Ren L, Butler M, Miller C, Paxton H, Schwerda D, Fischer MS, Hutchinson JR. The movements of limb segments and joints during locomotion in African and Asian elephants. Journal of Experimental Biology 2007, 211:2735-2751.
52. Ren L, Hutchinson JR. The three-dimensional locomotor dynamics of African (Loxodonta africana) and Asian (Elephas maximus) elephants reveal a smooth gait transition at moderate speed. Journal of the Royal Society Interface 2008, 5:195-211.
53. Rodriguez JL, Palacios J, Ruiz A, Sanchez M, Alvarez I, Emiguel E. Morphological changes in long bone development in fetal akinesia deformation sequence: an experimental study in curarized rat fetuses. Teratology 1992, 45:213-221.
54. Rubin CT, Lanyon LE. Limb mechanics as a function of speed and gait: a study of functional stains in the radius and tibia of horse and dog. Journal of Experimental Biology 1982, 101:187-211.
55. Rubin CT, Lanyon LE. Dynamic strain similarity in vertebrates; an alternative to allometric limb bone scaling. Journal of Theoretical Biology 1984, 107:321-327.
56. Rubin CT, Turner AS, Bain S, Mallinckrodt C, McLeod K. Low mechanical signals strengthen long bones. Nature 2001, 412:603-604.
57. Selker F, Carter DR. Scaling of long bone fracture strength with animal mass. Journal of Biomechanics 1989, 22:1175-1183.
58. Shoshani J. Anatomy & physiology. The illustrated encyclopedia of elephants 1991, 30-47. Rogers GWatkinson S. In, eds., London, Salamander Books
59. Sikes SK. The natural history of the African elephant 1971, London, Weidenfeld & Nicholson
60. Silva M. Allometric scaling of body length: elastic or geometric similarity in mammalian design. Journal of Mammalogy 1998, 79:20-32.
61. Streicher J, Müller GB. Natural and experimental reduction of the avian fibula: developmental thresholds and evolutionary constraint. Journal of Morphology 1992, 214:269-285.
62. Sukumar R. Ecology. The illustrated encyclopedia of elephants 1991, 78-101. Rogers GWatkinson S. In, eds., London, Salamander Books
63. Sukumar R. The Asian elephant: ecology and management 1992, Cambridge, Cambridge University Press
64. Wood GL. The Guinness Book of Animal Facts and Feats 1976, Enfield, Middlesex, Guinness Superlatives Ltd