Anagenetic evolution, stratophenetic patterns, and random walk models

Paleobiology

Volumn 25, Issue 1, 1999, Pages 41-57

  Roopnarine, Peter D ^a,d   Byars, Gabe ^b   Fitzgerald, Paul ^c  

^a University of Arizona   (United States)

^b DUKE UNIVERSITY   (United States)

^c California Academy of Sciences ^*  (United States)

^d CALIFORNIA ACADEMY OF SCIENCES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EVOLUTION; RANDOM WALK METHOD;

EID: 0033025578     PISSN: 00948373     EISSN: None     Source Type: Journal    
DOI: 10.1666/0094-8373-25.1.41     Document Type: Article

References (55)

1. Bak, P., and K. Sneppen. 1993. Punctuated equilibrium and criticality in a simple model of evolution. Physical Review Letters 71:4083-4086.
2. Bak, P., and M. Paczuski. 1995. Complexity, contingency, and criticality. Proceedings of the National Academy of Sciences USA 92:6689-6696.
3. Bak, P., C. Tang, and K. Weisenfeld. 1987. Self-organized criticality: an explanation of 1/f noise. Physical Review Letters 59: 381-384.
4. -. 1988. Self-organized criticality. Physical Review A 38: 364374.
5. Berg, H. C. 1993. Random walks in biology. Princeton University Press, Princeton, N.J.
6. Bookstein, F. L. 1987. Random walk and the existence of evolutionary rates. Paleobiology 13:446-464.
7. -. 1988. Random walk and the biometrics ofmorphological characters. Evolutionary Biology 9:369-398.
8. Chiba, S. 1996. A 40,000-year record of discontinuous evolution in island snails. Paleobiology 22:177-187.
9. Clyde, W. C., and P. D. Gingerich. 1994. Rates of evolution in the dentition of early Eocene Cantius: comparison of size and shape. Paleobiology 20:506-522.
10. Feder, J. 1988. Fractals. Plenum, New York.
11. Felsenstein, J. 1988. Phylogenies and quantitative methods. Annual Review of Ecology and Systematics 19:445-471.
12. Feynman, R. P., R. B. Leighton, and M. Sands. 1963. The Feynman lectures on physics, Vol. 1. Addison-Wesley, Redwood City, Calif.
13. Foote, M. 1997. Estimating taxonomic durations and preservation probability. Paleobiology 23:278-300.
14. Foote, M., and D. M. Raup. 1996. Fossil preservation and stratigraphic ranges of taxa. Paleobiology 22:121-140.
15. Fortey, R. A. 1988. Seeing is believing: gradualism and punctuated equilibria in the fossil record. Science Progress 72:1-19.
16. Geary, D. H. 1990. Patterns of evolutionary tempo and mode in the radiation of Melanopsis (Gastropoda: Melanopsidae). Paleobiology 16:492-511.
17. Gingerich, P. D. 1983. Rates of evolution: effects of time and temporal scaling. Science:222:159-161.
18. -. 1993. Quantification and comparison of evolutionary rates. American Journal of Science 293-A:453-478.
19. Gould, S. J. 1984. A smooth curve of evolutionary rate: a psychological and mathematical artifact. Science 226:994-996.
20. Harvey, P. H., and M. D. Pagel. 1991. The comparative method in evolutionary biology. Oxford series in ecology and evolution. Oxford University Press, Oxford.
21. Hastings, H. M., and G. Sugihara. 1993. Fractals: a user's guide for the natural sciences. Oxford University Press, Oxford.
22. Hurst, H. E. 1951. Long-term storage capacity of reservoirs. Transactions of the American Society of Civil Engineering 116:770-808.
23. Kauffman, S. A. 1993. The origins of order: self-organization and selection in evolution. Oxford University Press, Oxford.
24. Kirkpatrick, M. 1982. Quantum evolution and punctuated equilibria in continuous genetic characters. American Naturalist 199:833-848.
25. Kucera, M., and B. A. Malmgren. 1998. Differences between evolution of mean form and evolution of new morphotypes: an example from Late Cretaceous planktonic foraminifera. Paleobiology 24:49-63.
26. Kurtén, B. 1959. Rates of evolution in fossil mammals. Cold Spring Harbor Symposia on Quantitative Biology 24:205-215.
27. Lande, R. 1986. The dynamics of peak shifts and the pattern of morphological evolution. Paleobiology 12:343-354.
28. Lazarus, D., H. Hilbrecht, C. Spencer-Cervato, and H. Thiersten. 1995. Sympatric speciation and phyletic change in Globorotalia truncatulinoides. Paleobiology 21:28-51.
29. Lieberman, B. S., C. E. Brett, and N. Eldredge. 1995. A study of stasis and change in two species lineages from the Middle Devonian of New York State. Paleobiology 21:15-27.
30. MacLeod, N. 1991. Punctuated anagenesis and the importance of stratigraphy to paleobiology. Paleobiology 17:167-188.
31. Maddox, J. 1994. Punctuated equilibrium by computer. Nature 371:197.
32. Malmgren, B. A., W. Berggren, and G. P. Lohmann. 1983. Evidence for punctuated gradualism in the late Neogene Globorotalia tumida lineage of planktonic foraminifera. Paleobiology 9:377-389.
33. Mandelbrot, B. 1982. The fractal geometry of nature.W. H. Freeman, New York.
34. Mandelbrot, B., and J. W. Van Ness. 1968. Fractional Brownian motions, fractional noises and applications. SIAM Reviews 10:422-437.
35. Mandelbrot, B., and J. R. Wallis. 1969. Some long-run properties of geophysical records. Water Resources Research 5:321-340.
36. McKinney, M. L. 1990. Classifying and analysing evolutionary trends. Pp. 28-58 in K. J. McNamara, ed. Evolutionary trends. University of Arizona Press, Tucson.
37. Middleton, G. V., R. E. Plotnick, and D. M. Rubin. 1995. Nonlinear dynamics and fractals: new numerical techniques for sedimentary data. SEPM Short Course No. 36.
38. Murphy, M. A., and M. K. Cebecioglu. 1984. The Icriodus steinsachensis and I. claudiae lineages (Devonian conodonts). Journal of Paleontology 58:1399-1411.
39. Plotnick, R. E. 1995. Introduction to fractals. Pp. 1-28 in G. V.
40. Middleton, R. E. Plotnick, and D. M. Rubin, eds. Nonlinear dynamics and fractals: new numerical techniques for sedimentary data. SEPM Short Course 36.
41. Plotnick, R. E., and K. L. Prestegaard. 1995. Time series analysis I. Pp. 47-67 in G. V. Middleton, R. E. Plotnick, and D. M. Rubin, eds. Nonlinear dynamics and fractals: new numerical techniques for sedimentary data. SEPM Short Course 36.
42. Raup, D. M. 1966. Geometric analysis of shell coiling: general problems. Journal of Paleontology 40:1178-1190.
43. -. 1977. Stochastic models in evolutionary paleontology. Pp. 59-78 in A. Hallam, ed. Patterns of evolution as illustrated by the fossil record. Elsevier, Amsterdam.
44. Raup, D.M., and R. E. Crick. 1981. Evolution of single characters in the Jurassic ammonite Kosmoceras. Paleobiology 7:200-215.
45. Reyment, R. A. 1991. Multidimensional palaeobiology. Pergamon, New York.
46. Roopnarine, P. D. 1996. The fractal geometry of stratophenetic series: a model for long-term evolution. Geological Society of America Abstracts with Programs 28(7):A106.
47. Roopnarine, P. D., and P. Fitzgerald. 1995. Models of long-term evolution based on random walk hypotheses. Geological Society of America Abstracts with Programs 27(6):A53.
48. Schroeder, M. 1991. Fractals, chaos, power laws.W. H. Freeman, New York.
49. Shabalova. M., and G. P. Können. 1995. Scale invariance in longterm time series. Pp. 309-319 in M. M. Novak, ed. Fractal reviews in the natural and applied sciences. Chapman and Hall, London.
50. Sheldon, P. R. 1993. Making sense of microevolutionary patterns. Pp. 19-31 in D. R. Lees and D. Edwards, eds. Evolutionary patterns and processes. Linnean Society Symposium, Vol. 14.
51. Slade, G. 1996. Random walks. American Scientist 84:146-153.
52. Solow, A. R., and W. Smith. 1997. On fossil preservation and the stratigraphic ranges of taxa. Paleobiology 23:271-277.
53. Springer, K. B., and M. A. Murphy. 1994. Punctuated stasis and collateral evolution in the Devonian lineage of Monograptus hercynicus. Lethaia 27:119-128.
54. Tshudy, D., T. K. Baumiller, and U. Sorhannus. 1998. Morphologic changes in the clawed lobster Hoploparia (Nephropidae) from the Cretaceous of Antarctica. Paleobiology 24:64-73.
55. Wei, K., and J. P. Kennett. 1988. Phyletic gradualism and punctuated equilibrium in the late Neogene planktonic foraminiferal clade Globoconella. Paleobiology 14:345-363.