The Triassic explosion(?): A statistical model for extrapolating biodiversity based on the terrestrial Molteno formation

Paleobiology

Volumn 22, Issue 3, 1996, Pages 318-328

  Anderson, John ^a   Anderson, Heidi ^a   Fatti, Paul ^b   Sichel, Herbert ^b  

^a SOUTH AFRICAN NATIONAL BIODIVERSITY INSTITUTE   (South Africa)

^b UNIVERSITY OF THE WITWATERSRAND   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

BIODIVERSITY; EXPLOSIVE EVOLUTION; MOLTENO FORMATION; STATISTICAL ANALYSIS; TRIASSIC;

SOUTH AFRICA;

EID: 0030430524     PISSN: 00948373     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0094837300016304     Document Type: Article

References (44)

1. Anderson, J. M., and H. M. Anderson. 1983. The palaeoflora of southern Africa: Molteno Formation (Triassic), Vol. 1, Part 1, Introduction; Part 2, Dicroidium. A. A. Balkema, Rotterdam.
2. _. 1989. The palaeoflora of southern Africa: Molteno Formation (Triassic), Vol. 2, The gymnosperms (excluding Dicroidium). A. A. Balkema, Rotterdam.
3. _. 1993a. Terrestrial flora and fauna of the Gondwana Triassic, Part 1, Occurrences. In S. G. Lucas and M. Morales, eds. The nonmarine Triassic. New Mexico Museum of Natural History and Science Bulletin 3:3-12.
4. _. 1993b. Terrestrial flora and fauna of the Gondwana Triassic, Part 2, Co-evolution. In S. G. Lucas and M. Morales, eds. The nonmarine Triassic. New Mexico Museum of Natural History and Science Bulletin 3:13-25.
5. _. In press. The Molteno Fm.:window onto late Triassic floral diversity, In Professor Birbal Sahni Centenary 1991, International Conference, Allahabad, India.
6. Bunge, J., and M. Fitzpatrick. 1993. Estimating the number of species: a review. Journal of the American Statistical Association 88:364-373.
7. Cairncross, B., J. M. Anderson, and H. M. Anderson. 1995. Palaeoecology of the Triassic Molteno Formation, Karoo Basin, South Africa - sedimentological and palaeological evidence. South African Journal of Geology 98:452-478.
8. Chao, A., and S.-M. Lee. 1992. Estimating the number of classes via sample coverage. Journal of the American Statistical Association 87:210-217.
9. Char, B. W., K. O. Geddes, G. H. Gonnet, B. Leong, M. B. Monagan, and S. M. Watt. 1991. Maple V library reference manual. Springer, New York.
10. Chatterjee, S. 1991. Cranial anatomy and relationships of a new Triassic bird from Texas. Philosophical Transactions of the Royal Society of London B 332:277-346.
11. Chiappe, L. M. 1995. The first 85 million years of avian evolution. Nature 378:349-355.
12. Cornet, B. 1986. The leaf venation and reproductive structures of a late Triassic angiosperm, Sanmiguelia lewisii. Evolutionary Theory 7:231-309.
13. Crane, P. R., E. M. Friis, and K. Raunsgaard Pedersen. 1995. The origin and early diversification of angiosperms. Nature 374: 27-33.
14. Efron, B., and R. Thisted. 1975. Estimating the number of unseen species: how many words did Shakespeare know? Biometrika 6:435-447.
15. Fisher, R. A., A. S. Corbet, and C. B. Williams. 1943. The relation between the number of species and the number of individuals in a random sample of an animal population. Journal of Animal Ecology 12:42-48.
16. Good, I. J. 1953. The population frequencies of species and the estimation of population parameters. Biometrika 40:237-264.
17. Good, I. J. and G. H. Toulmin. 1956. The number of new species, and the increase in population coverage, when a sample is increased. Biometrika 43:45-63.
18. Gould, S. J. 1995. Of it, not above it. Nature 377:681-682.
19. Grotzinger, J. P., S. A. Bowring, B. Z. Saylor, and A. K. Kaufman. 1995. Biostratigraphic and geochronologic constraints on early animal evolution. Science 270:598-604.
20. Heywood, V. H., D. M. Moore, I. B. K. Richardson, and W. T. Stearn. 1993. Flowering plants of the world. Oxford University Press, New York.
21. Heltshe, J. F., and N. E. Forrester. 1983. Estimating species richness using the Jackknife Procedure. Biometrics 39:1-11.
22. Johnson, N. L., S. Kotz, and A. W. Kemp. 1993. Univariate discrete distributions, 2d ed. Wiley, New York.
23. Jolly, G. M. 1965. Explicit estimates from capture-recapture data with both death and immigration - stochastic models. Biometrika 52:225-247.
24. Kempton, R. A., and L. R. Taylor. 1974. Log-series and log-normal parameters as diversity discriminants for the Lepidoptera. Journal of Animal Ecology 12:42-48.
25. Knoll, A. H., and K. J. Niklas. 1987. Adaptation, plant evolution, and the fossil record. Review of Palaeobotany and Palynology 50:127-149.
26. Nichols, J. D., and K. H. Pollock. 1983. Estimating taxonomic diversity, extinction rates, and speciation rates from fossil data using capture-recapture models. Paleobiology 9:150-163.
27. Niklas, K. J., and B. H. Tiffney. 1994. The quantification of plant biodiversity through time. Philosophical Transactions of the Royal Society of London B 345:35-44.
28. Niklas, K. J., B. H. Tiffney, and A. H. Knoll. 1980. Apparent changes in the diversity of floral plants, a preliminary assessment. In M. K. Hecht, W. C. Steere, and B.Wallace, eds. Evolutionary Biology 12:1-89, Plenum, New York.
29. _. 1983. Patterns in vascular land plant diversification. Nature 303:614-616.
30. _. 1985. Patterns in vascular land plant diversification: an analysis at the species level. Pp. 97-128 in J. W. Valentine, ed. Phanerozoic diversity patterns: profiles in macroevolution. Princeton University Press, Princeton, N.J.
31. Ord, J. K., and G. A. Whitmore. 1986. The Poisson-inverse Gaussian distribution as a model for species abundance. Communications in Statistics - Theory and Methods 15:853-871.
32. Rutherford, M. C., and R. H. Westfall. 1994. Biomes of southern Africa: an objective categorization. Memoirs of the Botanical Survey of South Africa 63:1-94.
33. Seber, G. A. F. 1965. A note on the multiple-recapture census. Biometrika 52:249-259.
34. _. 1973. The estimation of animal abundance and related parameters. Griffin, London.
35. Sichel, H. S. 1971. On a family of discrete distributions particularly suited to represent long-tailed frequency data. Pp. 51-97 in N. F. Laubscher, ed. Proceedings of the Third Symposium on Mathematical Statistics, CSIR, Pretoria.
36. _. 1974. On a distribution representing sentence-length in written prose. Journal of the Royal Statistical Society A 137: 25-34.
37. _. 1975. On a distribution law for word frequencies. Journal of the American Statistical Association 70:542-547.
38. _. 1986a. Parameter estimation for a word frequency distribution based on occupancy theory. Communications in Statistics - Theory and Methods 15:935-949.
39. _. 1986b. Word frequency distributions and type-token characteristics. The Mathematical Scientist 11:45-72.
40. _. 1991. Modelling species-abundance frequencies and species-individual functions with the generalized inverse Gaussian-Poisson distribution law. Unpublished manuscript. Department of Statistics and Actuarial Science, University of the Witwatersrand, South Africa.
41. _. 1992. Anatomy of the generalized inverse Gaussian-Poisson distribution with special applications to bibliometric studies. Information Processing and Management 28:5-17.
42. Stace, C. A. 1989. Plant taxonomy and biosystematics. Edward Arnold, London.
43. Taylor, L. R., R. A. Kempton, and I. P. Woiwod. 1976. Diversity statistics and the log-series model. Journal of Animal Ecology 45:255-272.
44. Wing, S. L., J. Alroy, and L. J. Hickey. 1995. Plant and mammal diversity in the Paleocene to early Eocene of the Bighorn Basin. Palaeogeography, Palaeoclimatology, Palaeoecology 115: 117-155.