Trajectories and models of individual growth

Demographic Research

Volumn 15, Issue , 2006, Pages

  Karkach, Arseniy S ^a  

^a NONE

Author keywords

[No Author keywords available]

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EID: 33751046380     PISSN: 14359871     EISSN: 14359871     Source Type: Journal    
DOI: 10.4054/demres.2006.15.12     Document Type: Article

References (187)

1. Akaike, H. (1972). Information theory and an extension of the Maximum Likelihood Principle. In Petrov, B. and Csaki, F., editors, Second International Symposium of the Information Theory. Akademiai Kiado, Budapest.
2. Amaya, I., Ratcliffe, O. J., and Bradleya, D. J. (1999). Expression of CENTRORADIALIS (CEN) and CEN-like genes in tobacco reveals a conserved mechanism controlling phase change in diverse species. Plant Cell, 11:1405-1418.
3. Amir, S. and Cohen, D. (1990). Optimal reproductive efforts and the timing of reproduction of annual plants in randomly varying environments. Journal of Theoretical Biology, 147:17-42.
4. Arango, J. A. and Van Vleck, L. D. (2002). Size of beef cows: early ideas, new developments. Genet. Mol. Res., l(l):51-63.
5. Banavar, J. R., Damuth, J., Maritan, A., and Rinaldo, A. (2002). Modelling universality and scaling. Nature, 420:626.
6. Banavar, J. R., Maritan, A., and Rinaldo, A. (1999). Size and form in efficient transportation networks. Nature, 399:130-132.
7. Basolo, A. L. (2004). Variation between and within the sexes in body size preferences. Animal Behaviour, 68:75-82.
8. Bely, A. E. and Wray, G. A. (2001). Evolution of regeneration and fission in annelids: insights from engrailed- and orthodenticle-class gene expression. Development, 128:2781-2791.
9. Berg, T. G. O. and Ljunggren, B. (1982). The rate of growth of a single yeast cell. Biotechnol. Bioeng., 24:2739-2741.
10. Bertalanffy, L. (1957). Quantitative laws in metabolism and growth. The Quarterly review of, 32:217-231.
11. Bertalanffy, L. V. (1941). Untersuchungen über die Gesetzmässigkeit des Wachstums. VII. Stoffwechseltypen und Wachstumstypen., volume 61. Biol. Zbl.
12. Bertalanffy, L. v. (1942). Theoretische Biologie. vol. II: Stoffwechsel, Wachstum. Berlin: Gebrüder Borntraeger.
13. Bertalanffy, L. v. (1951). Metabolic types and growth types. Am Nat, 85(821):111-117.
14. Bertalanffy, L. v. and Pirozynski, W. J. (1951). Tissue respiration and body size. Science, New Series, 113(2943):599-600.
15. Bertalanffy, L. v. and Pirozynski, W. J. (1952). Ontogenic and evolutionary allometry. Evolution, 6(4):387-392.
16. Bock, R. D. and Thissen, D. (1976). Fitting multicomponent models for growth in stature. In Proceedings of the 9th International Biometrics Conference, Boston. Biometrics Society.
17. Brody, S. (1945). Bioenergetics and growth. New York: Hafner.
18. Brown, J. E., Fitzhugh Jr., H., and Cartwright, T. (1976). A comparison of nonlinear models for describing weight-age relationships in cattle. J. Anim. Sci., 42:810-818.
19. Brown, J. H. (1995). Macroecology. Univ. Chicago Press.
20. Brown, J. H., Marquet, P. A., and Taper, M. L. (1993). Evolution of body size: consequences of an energetic definition of fitness. The American Naturalist, 142(4):573-584.
21. Brown, J. H. and West, G. B., editors (2000). Scaling in biology. Santa Fe Institute, Oxford University Press.
22. Calder III, W. (1984). Size, function and life history. Harvard Univ. Press, Cambridge, Massachusetts.
23. Carey, J. and Guenfelder, C. (1997). Between Zeus and the Salmon. The Biodemography of Longevity, chapter Postreproductive survival, pages 127-160. Washington, National Academy Press.
24. Case, T. J. (1978). On the evolution and adaptive significance of postnatal growth rates in the terrestrial vertebrates. Q. Rev. Biol., 53:243-282.
25. Charnov, E. L. (1993). Life History Invariants: Some Explorations of Symmetry in Evolutionary Ecology. Oxford Univ. Press, Oxford.
26. Charnov, E. L., Turner, T. F., and Winemiller, K. O. (2001). Reproductive constraints and the evolution of life histories with indeterminate growth. Proc Natl Acad Sci USA., 98(16):9460-9464.
27. Cohen, D. (1971). Maximizing final yield when growth is limited by time of by limiting resources. J. Theor. Biol., 33:299-307.
28. Cohen, D. (1976). The optimal timing of reproduction. A. Nat., 110:801-807.
29. Congdon, J. D., Nagle, R. D., Kinney, O. M., and van Loben Sels, R. C. (2001). Hypotheses of aging in a long-lived vertebrate, blanding's turtle (Emydoidea blandingii). Experimental Gerontology, 36(lssues 4-6):813-827.
30. Congdon, J. D., Nagle, R. D., Kinney, O. M., van Loben Sels, R. C., Quinter, T., and Tinkle, D. W. (2003). Testing hypotheses of aging in long-lived painted turtles (Chrysemys picta). Exp Gerontol, 38(7):765-772.
31. Count, E. W. (1943). Growth patterns of the human physique: an approach to kinetic anthropometry. Hum Biol, 15:1-32.
32. Czarnoleśki, M. and Kozlowski, J. (1998). Do bertalanffy's growth curves result from optimal resource allocation? Ecology Letters, 1 issue 1:5.
33. Damuth, J. (1981). Population density and body size in mammals. Nature, 290:699-700.
34. Damuth, J. (2001). Scaling of growth: Plants and animals are not so different. PNAS, 98(5):2113-2114.
35. Damuth, J. D. (1998). Common rules for animals and plants. Nature, 395:115-116.
36. Dawson, T. (1994). Kangaroos: The Biology of the Large Kangaroos. New South Wales Univ Pr Ltd.
37. de Lara, M. (2003). Mummy evergreen, why do you keep on growing? Stochastic dynamic programming in theoretical ecology. In AICHE II (2nd international conference on mathematical ecology). Control and optimization in ecological problems. Abstracts.
38. Dodds, P. S. and Rothman, D.H.and Weitz, J. S. (2001). Re-examination of the "3/4-law" of metabolism. J. theor Biol., 209:9-27.
39. Dorresteijn, A. W. and Westheide, W., editors (November 1, 1999). Reproductive Strategies and Developmental Patterns in Annelids, volume 142 of Developments in Hydrobiology. Springer, 1 edition.
40. Draper, N. and Smith, H. (1981). Applied Regression Analysis. John Wiley & Sons, New York, 2nd edition. edition.
41. Elephant Encyclopedia (2004). Elephant Encyclopedia. http://www.upali.ch (last acessed Jan 20, 2006).
42. Enquist, B., Brown, J., and West, G. (1998). Allometric scaling of plant energetics and population density [Letter]. Nature, 395:163-165.
43. Factor, J., editor (1995). The Biology of the Lobster Homarus americanus. Academic Press, NY.
44. Ferrière, R. and Gatto, M. (1995). Lyapunov exponents and the mathematics of invasion in oscillatory and chaotic populations. Theor Popul. Biol., 48:126-171.
45. Fitzhugh Jr., H. (1976). Analysis of growth curves and strategies for altering their shape. J. Anim. Sci., 42:1036-1051.
46. France, J. and Thornley, J. (1984). Mathematical Models in Agriculture. Butterworths, London.
47. Frith, H. and Calaby, J. (1969). Kangaroos. Cheshire Publishing, Canberra.
48. Gage, J. D. and Tyler, P. A. (1985). Growth and recruitment of the deep-sea urchin Echinus affinis. Marine Biology (Berlin), 90:41-53.
49. Gillooly, J. F., Charnov, E. L., West, G. B., Savage, V. M., and Brown, J. H. (2002). Effects of size and temperature on developmental time. Nature, 417:70-73.
50. Glass, D. V. (1967). The third Royal Society Nuffield lecture: Demographic prediction. Proc. R. Soc., B168:119.
51. Goldstein, H. (1979). The design and analysis of longitudinal studies: Their role in the measurements of change. Academic press, London.
52. Gompertz, B. (1825). On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. Philosophical Transactions of the Royal Society of London, 115:513-583.
53. Grant, J., Steingrímsson, S., Keeley, E., and Cunjak, R. (1998). Implications of territory size for the measurement and prediction of salmonid abundance in streams. Can. J. Fish. Aquat. Sci, 55 (Suppl. 1):181-190.
54. Gross, M. (1984). Sunfish, salmon, and the evolution of alternative reproductive strategies and tactics in fishes. In Potts, G. and Wootton, R, editors, Fish Reproduction: Strategies and Tactics, pages 55-75. London: Academic Press.
55. Guégan, J.-F., Teriokhin, A., and Thomas, F. (2000). Human fertility variation, size-related obstetrical performance and the evolution of sexual stature dimorphism. Proc. R. Soc. Lond. B, 267:2529-2535.
56. Hanson, J. M., MacKay, W. C., and Prepas., E. E. (1989). Effect of size-selective predation by muskrats (ondatra zebithicus) on a population of unionid clams (Anodonta grandis simpsonianus). Journal of Animal Ecology, 58:5-28.
57. Hasani, H., Zokaei, M., and Amidi, A. (2003). A new approach to polynomial regression and its application to physical growth of human height (Hawaii International Conference on Statistics and Related Fields). http://www.hicstatistics.org/2003StatsProceedings/ Hosein%20Hasani.pdf (last accessed Jan 20, 2006).
58. Haynes, G. (1991). Mammoths, mastodons, and elephants. Cambridge: Cambridge University Press.
59. Heino, M. and Kaitala, V. (1999). Evolution of resource allocation between growth and reproduction in animals with indeterminate growth. Journal of Evolutionary Biology, 12 Issue 3:423-429.
60. Hemmingsen, A. M. (1960). Energy metabolism as related to body size and respiratory surfaces, and its evolution. Technical report, Reports of the Steno Memorial Hospital and the Nordisk Insulin laboratorium.
61. Heppell, S. S., Caswell, H., and Crowder, L. B. (2000). Life histories and elasticity patterns: perturbation analysis for species with minimal demographic data. Ecology, 81:654-665.
62. Heymsfield, S. B., Lohman, T. G., Wang, Z., and Going, S. B., editors (2005). Human Body Composition. Human Kinetics Publishers, 2nd edition.
63. Hoch, T. and Agabriel, J. (2004a). A mechanistic dynamic model to estimate beef cattle growth and body composition: 1. Model description. Agricultural Systems, 81:1-15.
64. Hoch, T. and Agabriel, J. (2004b). A mechanistic dynamic model to estimate beef cattle growth and body composition: 2. Model evaluation. Agricultural Systems, 81:17-35.
65. Huh, H. T. (1975). Bioenergetics of food conversion and growth of yellow perch (Perca flavescens) and walleye (Stizostedion vitreum vitreum) using formulated diets. Doctoral dissertation. PhD thesis, University of Wisconsin, Madison.
66. Huyghe, C. (1997). White lupin (Lupinus albus L.). Field Crops Research, 53(Issues 1-3):147-160.
67. Jenss, R. and Bayley, B. (1937). A mathematical method for studying the growth of child. Human Biology, 9:556-563.
68. Johnson, Z., Brown, C., and Brown Jr., A. (1990). Evaluation of growth patterns of beef cows. Arkansas Agric. Exp. Sta. Bull., (923):41.
69. Jokela, J. (1997). Optimal allocation tactics and indeterminate growth: Life-history evolution of long-lived bivalves. In B. Streit, T. S. and Lively, C., editors, Evolutionary ecology of freshwater animals. Concepts and case studies, pages 179-196. Birkhäuser.
70. Jolicoeur, P. (1963). The multivariate generalization of the allometry equation. Biometrics, 19:497-499.
71. Jolicoeur, P., Abidi, H., and Pontier, J. (1991). Human stature: which growth model? Growth Dev Aging., 55(2):129-132.
72. Jolicoeur, P. and Pontier, J. (1989). Population growth and decline: a four-Parameter generalization of the logistic curve. J Theor Biol, 141(4):563.
73. Jolicoeur, P., Pontier, J., and Abidi, H. (1992). Asymptomatic models for the longitudinal growth of human stature. Am. J. Hum. Biol., 4:461-468.
74. Jolicoeur, P., Pontier, J., Pernin, M.-O., and Sempe, M. (1988). A lifetime asymptotic growth curve for human height. Biometrics, 44(4):995-1003.
75. Kanefuji, K. and Shohoji, T. (1990). On a growth model of human height. Growth Dev Aging, 54(4):155-165.
76. Katsukawa, Y., Katsukawa, T., and Matsuda, H. (2002). Indeterminate growth is selected by a trade-off between high fecundity and risk avoidance in stochastic environments. Population Ecology, 44, Number 3:265-272.
77. Kishi, S., Uchiyama, J., Baughman, A. M., Goto, T., Lin, M. C., and Tsai, S. B. (2003). The zebrafish as a vertebrate model of functional aging and very gradual senescence. Experimental Gerontology, 38(Issue 7):777-786.
78. Kleiber, M. (1947). Body size and metabolic rate. Physiol. Rev., 27:511.
79. Kleiber, M. (1975). The Fire of Life. Krieger, New York, 2nd edition.
80. Koch, G. W., Sillett, S. C., and Jennings, G. M. (2004). The limits to tree height. Nature, 428:851-854.
81. Kooijman, S. A. L. M. (1986a). Energy budgets can explain body size relations. Journal of Theoretical Biology, 121:269-282.
82. Kooijman, S. A. L. M. (1986b). Population dynamics on the basis of budgets. In Metz, J. A. J. and Diekmann, O., editors, The Dynamics of Physiologically Structured Populations, pages 266-297. Springer Lecture notes on Biomathematics, Springer-Verlag, Berlin-Heidelberg.
83. Kooijman, S. A. L. M. (1993). Dynamic energy budgets in biological systems. Theory and applications in ecotoxicology. Cambridge University Press.
84. Kooijman, S. A. L. M. (2000). Dynamic Energy and Mass Budgets in Biological Systems. Cambridge University Press.
85. Kooijman, S. A. L. M. (2001). Quantitative aspects of metabolic organization; a discussion of concepts., Phil. Trans. R. Soc. B, 356:331-349.
86. Kooijman, S. A. L. M., Kooi, B. W., and Hallam, T. G. (1999). The application of mass and energy conservation laws in physiologically structured population models of heterotrophic organisms. J. theor. Biol., 197:371-392.
87. Koops, W. J. (1986). Multiphasic growth curve analysis. Growth, 50(2):169-177.
88. Kozłowski, J. (1993). Measuring fitness in life-history studies. Trends Ecol. Evol., 8:84-85.
89. Kozłowski, J. (1996). Energetic definition of fitness? yes, but not that one. The American Naturalist, 147(6):1087-1091.
90. Kozłowski, J. (January 1992). Optimal allocation of resources to growth and reproduction: Implications for age and size at maturity. Trends in Ecology & Evolution, 7, Issue 1: 15-19.
91. Kozłowski, J. and Uchmañski, J. (1987). Optimal individual growth and reproduction in perennial species with indeterminate growth. Evol. Ecol., 1:214-230.
92. Krebs, H. (1950). Body size and tissue respiration. Biochem. et Biophys. Acta, 4:249.
93. Krüger, F. (1965). Zur Mathematik der tierischen Wachstums. I. Grundlagen einer neuen Wachstumsfunktion. Helgoländen wiss. Meeresunters, 12:78-136.
94. Kuczmarski, R., Ogden, C., and Guo, S. e. a. (2000). 2000 CDC Growth Charts for the United States: Methods and Development. Series Report. National Center for Health Statistics, vital health stat 11 (246) edition.
95. Labouriau, R., Schulin-Zeuthen, M., and Danfær, A. (2000). Statistical analysis of pigs development: An application of richards regression models. Technical report, Internal Report 14, Biometry Research Unit, Danish Institute of Agrucultural Sciences.
96. Laws, R. M. (1966). Age criteria for the African elephant Loxodonta A. Africana. East African Wildlife Journal, 4:1-37.
97. Lee, D. L., editor (June 21,.2002). The Biology of Nematodes. CRC Press, 1st edition edition.
98. Lee, P. C. and Moss, C. J. (1995). Statural growth in known-age African elephants (Loxodonta africana). J., Zool., Lond., 236:29-41.
99. Lika, K. and Kooijman, S. A. (2003). Life history implications of allocation to growth versus reproduction in dynamic energy budgets. Bulletin of Mathematical Biology, 65(Issue 5):809-834.
100. Lika, K. and Nisbet, R. M. (2000). A dynamic energy budget model based on partitioning of net production. J. Math. Biol., 41:361-386.
101. Lindenfors, P. and Tullberg, B. S. (1998). Phylogenetic analyses of primate size evolution: the consequences of sexual selection. Biological Journal of the Linnean Society, 64:413-447.
102. Lotka, A. (1956). Elements of mathematical biology. Dover, New York.
103. Makarieva, A. M., Gorshkov, V. G., and Li, B.-L. (2004). Ontogenetic growth: models and theory. Ecological Modelling, 176:15-26.
104. Malison, J. A., Best, C. D., Kayes, T. B., Amundson, C. H., and Wentworth, B. C. (1985). Hormonal growth promotion and evidence for a size-related difference in response to estradiol- 17β in yellow perch (Perca flavescens). Canad. J. Fish. Aquat. Sci., 42:1627-1633.
105. Martínez, D. E. (1998). Mortality patterns suggest lack of senescence in Hydra. Experimental Gerontology, 33, No. 3:217-225.
106. Maynard Smith, J. and Price, G. R. (1973). The logic of animal conflict. Nature, 246:15-18.
107. Maynes, G. M. (1976). Growth of the Parma Wallaby, Macropus parma Waterhouse. Aust. J. Zool., 24:217-236.
108. McCullagh, P. and Nelder, J. A. (1989). Generalized Linear Models. London: Chapman & Hall, second edition.
109. McMahon, T. A. and Bonner, J. T. (1983). On Size and Life. Scientific American Library, New York.
110. Mead, R., Curnow, R., and Hasted, A. (1993). Statistical Methods in Agriculture and Experimental Biology. Chapman,& Hall, London, 2nd edition.
111. Medawar, P. (1940). The growth, growth energy, and ageing of the chicken's heart. Proc. R. Soc., B129:332.
112. MedlinePlus Medical Encyclopedia (2006). Fetal development. http://www.nlm.nih.gov/medlineplus/ency/article/002398.htm (last accessed Jan 23, 2006).
113. Metcalf, J. C., Rose, K. E., and Rees, M. (2003). Evolutionary demography of monocarpic perennials. TRENDS in Ecology and Evolution, 18 No.9:471-480.
114. Metz, J. A. J., Geritz, S. A. H., Meszéna, G., Jacobs, F. J. A., and van Heerwaarden, J. S. (1996). Adaptive dynamics: a geometrical study of the consequences of nearly faithful reproduction. In van Strien, S. J. and Verduyn Lunel, S. M., editors, Stochastic and spatial structures of dynamical systems. Congress: Proceedings of the Colloquium (Amsterdam, The Netherlands), pages 183-231. Amsterdam: Royal Netherlands Academy of Arts and Sciences; KNAW Verhandelingen.
115. Metz, J. A. J., Nisbet, R. M., and Geritz, S. A.H. (1992). How should we define 'fitness' for general ecological scenarios? Trends in Ecology and Evolution, 7:198-202.
116. Mommsen, T. P. (2001). Paradigms of growth in fish. Comparative Biochemistry and Physiology Part B: Biochemistry and Molecular Biology, 129(Issues 2-3):207-219.
117. Moore, K. L. and Persaud, T. (1998). The Developing Human: Clinically Oriented Embryology. W.B. Saunders Company, Philadelphia PA, 6 edition.
118. Mueller, U. and Mazur, A. (2001). Evidence of unconstrained directional selection for male tallness. Behav. Ecol. Sociobiol., 50:302-311.
119. Mylius, S. D. and Diekmann, O. (1995). On evolutionarily stable life histories, optimization and the need to be specific about density dependence. Oikos, 74:218-224.
120. Nelder, J. (1961). The fitting of a generalization of the logistic curve. Biometrics, 17:89.
121. Nettle, D. (2002a). Height and reproductive success in a cohort of british men.. Human Nature, 13:473-491.
122. Nettle, D. (2002b). WomenŠs height, reproductive success and the evolution of sexual dimorphism in modern humans. Proc. R. Soc. Lond. B, 269:1919-1923.
123. Niklas, K. J. (1994). Plant allometry: the scaling of form and process. Univ. of Chicago Press, Chicago.
124. Niklas, K. J. and Enquist, B. J. (2001). Invariant scaling relationships for interspecific plant biomass production rates and body size. PNAS, 98:2922-2927.
125. Nisbet., R. M., Muller, E. B., Lika, K., and Kooijman, S. A. L. M. (2000). From molecules to ecosystems through dynamic energy budget models. J. Anim.Ecol., 69:913-926.
126. Noonburg, E. G., Nisbet, R. M., McCauley, E., Gurney, W. S. C., Murdoch, W. W., and de Roos, A. M. (1998). Experimental testing of dynamic energy budget models. Functional Ecology, 12:211-222.
127. O'Conner, R. J. (1984). The Growth and Development of Birds. John Wiley & Sons Inc.
128. Parks, J. R. (1982). A theory of feeding and growth of animals. Berlin; New York: Springer-Verlag.
129. 0 or r: a matter of taste? J. Evol. Biol., 9:511-518.
130. Pawlowski, B., Dunbar, R. I., and Lipowicz, A. (2000). Tall men have more reproductive success. Nature, 403:156.
131. Pearl, R. and Reead, L. J. (1920). On the rate of growth of the population of the United States since 1790 and its mathematical representation. Proc. Nat. Acad. Sci. U.S.A., G:275.
132. Perrin, N. and Sibly, R. M. (1993). Dynamic models of energy allocation and investment. Ann. Rev. Ecol. Syst., 24:379-410.
133. Perrin., N., Sibly, R. M., and Nichols, N. K. (1993). Optimal growth strategies when mortality and production rates are size-dependent. Evol. Ecol., 7:576-592.
134. Peters, R. H. (1983). The ecological implications of body size. Cambridge Univ. Press, Cambridge, U.K.
135. Preece, M. and Baines, M. (1978). A new family of mathematical models describing the human growth curve. Ann Hum Biol, 5(1):24.
136. Prescott, D. M. (1957). Relations between cell growth and cell division. In Rudnick, D., editor, Rythmic and synthetic processes in growth, pages 59-74. Princeton University Press.
137. Pugliese, A. and Kozłowski, J. (1990). Optimal patterns of growth and reproduction for perrenial plants with persisting or not persisiting vegetative parts. Evol. Ecol., 4:75-89.
138. Purdom, C. E. (1993). Genetics and fish breeding. Chapman & Hall, London.
139. Pütter, A. (1920). Studien über physiologische ähnlichkeit. VI. Wachstumsähnlichkeiten. Pflüg. Arch. ges. Physiol., 180:298-340.
140. Quetelet, M. A. (1968). A treatize on man and the development of his facilities. Burt Franklin, New York.
141. Rand, D. A., Wilson, H. B., and McGlade, J. M. (1994). Dynamics and evolution: evolutionarily stable attractors, invasion exponents and phenotypic dynamics. Phils. Trans. R. Soc. Lond. B, 343:261-283.
142. Raup, D. M. and Stanley, S. M. (1978). Principles of Paleontology. W.H. Freeman and Co., New York, 2nd edition.
143. Richards, F. J. (1959). A flexible growth function for empirical use. J. Exp. Botany, 10:290-300.
144. Ricklefs, R. E. (1968). Patterns of growth in birds. Ibis, 110:419-451.
145. Robinson, S. L. and Wilcox, J. R. (1998). Comparison of determinate and indeterminate soybean near-isolines and their response to row spacing and planting date. Crop Sci., 38:1554-1557.
146. Rogers, A. R. and Mukherjee, A. (1992). Quantitative genetics of sexual dimorphism in human body size. Evolution, 46(1):226-234.
147. Sandland, R. L. and McGilchrist, C. A. (1979). Stochastic growth curve analysis. Biometrics, 35:255-271.
148. Savageau, M. (1980). Growth equations: A general equation and a survey of special cases. Math. Biosci, 48:267-278.
149. Schmidt-Nielsen, K. (1984). Scaling: Why Is Animal Size So Important? Cambridge Univ. Press, Cambridge, U.K.
150. Sebens, K. (1977). Autotrophic and heterotrophic nutrition of coral reef zoanthids. In Proc. 3rd Int. Coral Reef Symp., volume 2, pages 397-404.
151. Shohoji, T. and Sasaki, H. (1987). Individual growth of stature of Japanese. Growth, 51:432-450.
152. Sibly, R., Calow, P., and Nichols, N. (1985). Are patterns of growth adaptive? J. theor. Biol., 112:553-574.
153. Smith, D. C. (1992). Age determination and growth in fish and other aquatic animals. CSIRO Australia.
154. Smith, R. J. (1996). Biology and body size in human evolution. Current Anthropology, 37(3):451-481.
155. Starck, J. M. and Ricklefs, R. E. (1998). Avian growth and development: evolution within the altricial-precocial spectrum. Oxford University Press.
156. Stephens, R. E. (1972). Studies on the development of the sea urchin Strongylocentrotus droebachiensis. i. ecology and normal development. Biological Bulletin, 142:132-144.
157. Stone, R. P. (1999). Mass molting of Tanner Crabs Chionoecetes bairdi in a southeast Alaska Estuary. Alaska Fishery Research Bulletin, 6(1):19-28.
158. Summerfelt, R. C. and Hall, G. E. (1987). Age and Growth of Fish. Iowa State Pr, 1st edition.
159. Tanaka, E. M. (2003). If they can do it, why can't we? Cell, 113 Issue 5:559-562.
160. Tanaka, M. (1976). On a few patterns of growth curve and their expressions. Physiol. Ecol. Japan, 17:519-525.
161. Tanaka, M. (1982). A new growth curve which expresses infinitive increase. Publ. Amakusa Mar. Biol. Lab., 6(2):167-177.
162. Tanaka, M. and Kikuchi, T. (1979). Ecological studies on benthic macrofauna in tomoe cove, amakusa. III. life history and population fluctuation of major molluscs. Publ. Amakusa Mar. Biol. Lab., 5:79-115.
163. Tanaka, M. and Kikuchi, T. (1980). Growth curves in Theora lubrica (Gould) (Bivalvia, Seneridae). I. fitting of several growth curves. Publ. Amakusa Mar. Biol. Lab., 5:201-214.
164. Tanner, J. F., Ulijaszek, S. J., Johnston, F. E., and Preece, M. A., editors (1998). The Cambridge Encyclopedia of Human Growth and Development. Cambridge University Press, 1st edition.
165. Taylor, B. E. and Gabriel, W. (1992). To grow or not to grow: optimal resource allocation for Daphnia. Am. Nat., 139:248-266.
166. Thissen, D., Bock, D., Wainer, H., and Roche, A. (1976). Individual growth in stature: a comparison of four growth studies in the U.S.A. Ann Hum Biol., 3(6):529-542.
167. Turner, M., Blimenstein, B., and Sebaugh, J. (1969). A generalization of the logistic law of growth. Biometrics, 25:577.
168. Turner, M., Bradley, E., Kirk, K., and Pruitt, K. (1976). A theory of growth. Math. Biosci., 29:367-373.
169. van Leeuwen, I., Kelpin, F., and Kooijman, S. (2002). A mathematical model that accounts for the effects of caloric restriction on body weight and longevity. Biogerontology, 3:373-381.
170. van Leeuwen, I. M. M., Zonneveld, C., and Kooijman, S. A. L. M. (2003). The embedded tumour: host physiology is important for the evaluation of tumour growth. British Journal of Cancer, 89:2254-2263.
171. Vaughan, T. A., Ryan, J. M., and Czaplewski, N. J. (2000). Mammalogy. Saunders College Publishing, Philadelphia, 4 edition.
172. Vaupel, J. W., Baudisch, A., Dölling, M., Roach, D. A., and Gampe, J. (2004). The case for negative senescence. Theor. Popul. Biol, 65, Issue 4:339-351.
173. Verhulst, P.-F. (1838). Notice sur la loi que la population suit dans son accroissement. Corr. Math. Phys, 10:113.
174. Weatherley, A. and Gill, H. (1987a). The Biology of Fish Growth. Academic Pr.
175. Weatherley, A. H. and Gill, H. S. (1987b). The Biology of Fish Growth. London: Academic Press.
176. Wenner, A., editor (1985). Factors in Adult Growth. Crustacean Issues. Aa Balkema.
177. West, G. B., Brown, J. H., and Enquist, B. J. (1997). A general model for the origin of allometric scaling laws in biology. Science, 276(4):122-126.
178. West, G. B., Brown, J. H., and Enquist, B. J. (1999). The fourth dimension of life: Fractal geometry and allometric scaling of organisms. Science, 284:1677-1679.
179. West, G. B., Brown, J. H., and Enquist, B. J. (2001). A general model for ontogenetic growth [Letters to Nature]. Nature, 413:628-631.
180. West, G. B., Woodruff, W. H., and Brown, J. H. (2002). Allometric scaling of metabolic rate from molecules and mitochondria to cells and mammals. PNAS, 99 suppl. 1:2473-2478.
181. 3. PNAS, 100(7):4046-4049.
182. Williams, G. C. (1957). Pleiotropy natural selection evolution of senescence. Evolution, 11(4):398-411.
183. Wishart, J. (1938). Growth-rate determinations in nutrition studies with the bacon pig, and their analysis. Biometrika, 30(1/2):16-28.
184. Wood, A. J., Cowan, I. M., and Nordan, H. C. (1962). Periodicity of growth in ungulates as shown by deer of the genus Odocoileus. Can. J. Zool., 40:593-603.
185. Yi, S. and Li-feng, H. (1998). A new literature growth model: Variable exponential growth law of literature. Scientometrics, 42(2):259-265.
186. Zonneveld, C. and Kooijman, S. A. L. M. (1989). Application of a Dynamic Energy Budget model to Lymnaea stagnalis (L.). Func. Ecol., 3 (3):269-279.
187. Zullinger, E. M., Ricklefs, R. E., Redford, K. H., and Mace, G. M. (1984). Fitting sigmoidal equations to mammalian growth rates. J. Mamm., 65 (4):607-636.