A modified Procrustes analysis for bilaterally symmetrical outlines, with an application to microevolution in Baculites

Paleobiology

Volumn 39, Issue 2, 2013, Pages 214-234

  Bookstein, Fred L ^a,b   Ward, Peter D ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; DATA SET; IMAGE ANALYSIS; MICROBIAL COMMUNITY; MORPHOMETRY; PALEOBIOLOGY; STATISTICAL ANALYSIS;

BAJA CALIFORNIA [(STT) MEXICO]; MEXICO [NORTH AMERICA];

EID: 84875306251     PISSN: 00948373     EISSN: None     Source Type: Journal    
DOI: 10.1666/12038     Document Type: Article

References (54)

1. Anderson, D. R. 2008. Model-based inference in the life sciences: a primer on evidence. Springer, New York.
2. Baker, D. E. 2002. A geometric method for determining shape of bird eggs. Auk 199:1179-1186.
3. Benazzi, S., M. Coquerelle, L. Fiorenza, F. L. Bookstein, S. Katina, and O. Kullmer. 2011. Comparison of dental measurement systems for taxonomic assignment of first molars. American Journal of Physical Anthropology 144:342-354.
4. Blum, H. 1973. Biological shape and visual science, Part I. Journal of Theoretical Biology 38:205-287.
5. Boas, F. 1905. The horizontal plane of the skull and the general problem of the comparison of variable forms. Science 21:862-863.
6. Bookstein, F. L. 1981. Comment on "Issues related to the prediction of craniofacial growth." American Journal of Orthodontics 79:442-448.
7. -. 1991. Morphometric tools for landmark data: geometry and biology. Cambridge University Press, Cambridge.
8. -. 1997. Landmark methods for forms without landmarks: morphometrics of group difference in outline shape. Medical Image Analysis 1:225-243.
9. -. 2009. Was there information in my data? Really? (Review of Anderson 2008.) Biological Theory 4:302-308.
10. -. 2011. "Biology and mathematical imagination." http://www.youtube.com/watch?v=LvwF3fYv7Ys. Rohlf Medal lecture, Stony Brook University, 24 October 2011.
11. -. 2013. Random walk as a null model for high-dimensional morphometrics of fossil series: geometrical considerations. Paleobiology 39:52-74.
12. Bookstein, F. L., B. Chernoff, R. Elder, J. Humphries, G. Smith, and R. Strauss. 1982. A comment on the uses of Fourier analysis in systematics. Systematic Zoology 31:85-92.
13. Bookstein, F. L., K. Schäfer, H. Prossinger, H. Seidler, M. Fieder, C. Stringer, G. Weber, J. Arsuaga, D. Slice, F. J. Rohlf, W. Recheis, A. Mariam, and L. Marcus. 1999. Comparing frontal cranial profiles in archaic and modern Homo by morphometric analysis. Anatomical Record Part B: The New Anatomist 257:217-224.
14. Clark, M. W. 1981. Quantitative shape analysis: a review. Mathematical Geology 13:303-320.
15. Cobban, W. A. 1958. Two new species of Baculites from the Western Interior region. Journal of Paleontology 32:660-665.
16. Cobban, W. A., I. Walaszczyk, J. D. Obradovich, and K. C. McKinney. 2006. A USGS Zonal table for the Upper Cretaceous middle Cenomanian-Maastrichtian of theWestern Interior of the United States based on ammonites, inoceramids, and radiometric ages. U.S. Geological Survey Open-File Report-2004-1093.
17. Crampton, J. S., and A. S. Gale. 2005. A plastic boomerang: speciation and intraspecific evolution in the Cretaceous bivalve Actinoceramus. Paleobiology 31:559-577.
18. Daniel, T. L., B. S. Helmuth, W. B. Saunders, and P. D. Ward. 1997. Septal complexity in ammonoid cephalopods increased mechanical risk and limited depth. Paleobiology 23:470-481.
19. Dryden, I. V., and K. V. Mardia. 1998. Statistical shape analysis. Wiley, Chichester, UK.
20. Elsasser, W. M. 1975. The chief abstractions of biology. North-Holland, Amsterdam.
21. Ferson, S., F. J. Rohlf, and R. K. Koehn. 1985. Measuring shape variation of two-dimensional outlines. Systematic Zoology 34:59-68.
22. Filmer, P. E., and J. L. Kirschvink. 1989. A paleomagnetic constraint on the Late Cretaceous paleoposition of northwestern Baja California, Mexico. Journal of Geophysical Research B94:7332-7342.
23. Full, W. E., and R. Ehrlich. 1982. Some approaches for location of centroids of quartz grain outlines to increase homology between Fourier amplitude spectra. Mathematical Geology 14:43-55.
24. Gould, S. J., and N. Eldredge. 1977. Punctuated equilibria: the tempo and mode of evolution reconsidered. Paleobiology 3:115-151.
25. Haines, A. J., and J. S. Crampton. 2000. Improvements to the method of Fourier shape analysis as applied in biometric studies. Palaeontology 43:765-783.
26. Hannisdal, B. 2007. Inferring phenotypic evolution in the fossil record by Bayesian inversion. Paleobiology 33:98-115.
27. Jacobs, D. 1990. Sutural patterns and shell stresses in Baculites with implications for other cephalopod shell morphologies. Paleobiology 16:336-348.
28. Koenderink, J. 1990. Solid shape. MIT Press, Cambridge.
29. Kruta, I., N. Landman, I. Rouget, F. Cecca, and P. Tafforeau. 2011. The role of ammonites in the mesozoic marine food web revealed by jaw preservation. Science 331:70-72.
30. Lohmann, G. P. 1983. Eigenshape analysis of microfossils: a general morphometric procedure for describing changes in shape. Mathematical Geology 15:659-672.
31. MacLeod, N. 1999. Generalizing and extending the eigenshape method of shape space visualization and analysis. Paleobiology 25:107-138.
32. Manship, L. L. 2004. Pattern matching: classification of ammonitic sutures using GIS. Palaeontologia Electronica 7:6A, http://palaeo-electronica. org/paleo/2004-2/suture/issue2-04.htm.
33. Mardia, K.V., F. L. Bookstein, and I. J. Moreton. 2000. Statistical assessment of bilateral symmetry of shapes. Biometrika 87:285-300.
34. Mardia, K. V., J. Kirkbride, and F. L. Bookstein. 2004. Statistics of shape, direction, and cylindrical variables. Journal of Applied Statistics 31:465-479.
35. Martin, R. 1928. Lehrbuch der Anthropologie, Vol. 2. Craniologie und Osteologie. Gustav Fischer, Jena.
36. Matsumoto, T. 1959. Upper Cretaceous ammonites of California, Part I. Memoirs of the Faculty of Science, Kyushu University, series D (Geology), 8:91-171, plates 30-45.
37. Mitteroecker, P. M., and P. Gunz. 2009. Advances in geometric morphometrics. Evolutionary Biology 36:235-247.
38. Mónus, F., and Z. Barta. 2005. Repeatability analysis of egg shape in a wild tree sparrow (Passer montanus) population: a sensitive method for egg shape description. Acta Zoologica Academiae Scientiarum Hungaricae 51:151-162.
39. Petersen, M. R. 1992. Intraspecific variation in egg shape among individual Emperor Geese. Journal of Field Ornithology 63:344-354.
40. Preston, F. W. 1953. The shapes of birds' eggs. Auk 70:160-182.
41. -. 1968. The shapes of birds' eggs: mathematical aspects. Auk 85:454-463.
42. Raup, D. M. 1966. Geometric analysis of shell coiling: general problems. Journal of Paleontology 40:1178-1190.
43. Rohlf, F.J. 1986. Relationships among eigenshape analysis, Fourier analysis, and analysis of coordinates. Mathematical Geology 18:845-854.
44. Rohlf, F. J., and F. L. Bookstein, eds. 1990. Proceedings of the Michigan morphometrics workshop. University of Michigan Museum of Zoology Special Publication 2.
45. Schaefer, K., T. Lauc, P. Mitteroecker, P. Gunz, and F. L. Bookstein. 2006. Dental arch asymmetry in an isolated Adriatic community. American Journal of Physical Anthropology 129:132-142.
46. Scott, G. H. 1980. The value of outline processing in the biometry and systematics of fossils. Palaeontology 23:757-768.
47. Stoermer, E. F., and T. B. Ladewski. 1982. Quantitative analysis of shape variation in type and modern populations of Gomphoneis herculeana. Beiheft zur Nova Hedwigia 73:347-386.
48. Todd, P. H., and I. H. M. Smart. 1984. The shapes of birds' eggs. Journal of Theoretical Biology 106:239-243.
49. Ward, P. 1976. Upper Cretaceous Ammonites (Santonian-Campanian) from Orcas Island, Washington. Journal of Paleontology 50:454-462.
50. -. 1978. Baculitids from the Nanaimo Group, Vancouver Island and Washington State. Journal of Paleontology 52:1143-1154.
51. Ward, P. D., R. N. Mitchell, and J. Haggart. 2008. Co-occurring Campanian/Maastrichtian index fossils in the Western Interior and North Pacific biotic provinces require fundamental changes in zonal biostratigraphy for both provinces. Geological Society of America Abstracts with Programs 40:237.
52. Ward, P. D., J. W. Haggart, R. Mitchell, J. Kirschvink, and T. Tobin. 2012. Integration of macrofossil biostratigraphy and magnetostratigraphy for the Pacific coast Upper Cretaceous (Santonian-Maastrichtian) and implications for correlation with the Western Interior and Tethys. Geological Society of America Bulletin 124:957-974.
53. Weber, G. W., and F. L. Bookstein. 2011. Virtual anthropology: a guide to a new interdisciplinary field. Springer, Vienna.
54. Westermann, G. E. G. 1971. Form, structure, and function of shell and siphuncle in coiled Mesozoic ammonoids. Life Science Contributions of the Royal Ontario Museum 78:1-39.