Dynamic energy budget theory restores coherence in biology

Philosophical Transactions of the Royal Society B: Biological Sciences

Volumn 365, Issue 1557, 2010, Pages 3413-3428

  Sousa, Tânia ^a   Domingos, Tiago ^a   Poggiale, J C ^b   Kooijman, S A L M ^c  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

^b STATION MARINE D ENDOUME   (France)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Biology; Dynamic energy budget theory; Ecology; Energetics; Evolution; Metabolism

Indexed keywords

BIOLOGY; ECOLOGICAL APPROACH; ENERGY BUDGET; EVOLUTION; METABOLISM; PHYSIOLOGY; THEORETICAL STUDY; THERMODYNAMICS;

EID: 78149248758     PISSN: 09628436     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rstb.2010.0166     Document Type: Review

References (114)

1. Beer, W. N. & Anderson, J. J. 1997 Modelling the growth of salmonid embryos. J. Theor. Biol. 189, 297-306. (doi:10. 1006/jtbi.1997.0515)
2. Best, J. 1995 The influence on intracellular enzymatic properties for kinetics data obtained from living cells. Cell. Comp. Physiol. 46, 1-27. (doi:10.1002/jcp.1030460102)
3. Blackman, F. F. 1905 Optima and limiting factors. Ann. Bot. 19, 281-295.
4. Bucher, T. L. 1983 Parrot eggs, embryos, and nestlings- patterns and energetics of growth and development. Physiol. Zool. 56, 465-483.
5. Chappell, M. A., Bachman, G. C. & Hammond, K. A. 1997 The heat increment of feeding in house wren chicks: Magnitude, duration, and substitution for thermostatic costs. J. Comp. Physiol. B 167, 313-318. (doi:10.1007/ s003600050079) (Pubitemid 27243071)
6. Chen, Y., Jackson, D. A. & Harvey, H. H. 1992 A comparison of von Bertalanffy and polynomial functions in modeling fish growth data. Can. J. Fish. Aquat. Sci. 49, 1228-1235. (doi:10.1139/f92-138)
7. Chen, Y., Ke, C. H., Zhou, S. Q. & Li, F. X. 2005 Effects of food availability on feeding and growth of cultivated juvenile Babylonia formosae habei (Altena and Gittenberger 1981). Aquaculture Res. 36, 94-99. (doi:10.1111/j.1365-2109.2004.01189.x) (Pubitemid 40141453)
8. Chilliard, Y., Delavaud, C. & Bonnet, M. 2005 Leptin expression in ruminants: Nutritional and physiological regulations in relation with energy metabolism. Domest. Anim. Endocrinol. 29, 3-22. (doi:10.1016/j.domaniend. 2005.02.026)
9. Clarke, A. & Johnston, N. M. 1999 Scaling of metabolic rate with body mass and temperature in teleost fish. J. Anim. Ecol. 68, 893-905. (doi:10.1046/j.1365-2656.1999. 00337.x)
10. Diekmann, O. & Metz, J. A. J. 2010 How to lift a model for individual behaviour to the population level? Phil. Trans. R. Soc. B 365, 3523-3530. (doi:10.1098/rstb.2010.0100)
11. Dou, S., Masuda, R., Tanaka, M. & Tsukamoto, K. 2002 Feeding resumption, morphological changes and mortality during starvation in Japanese flounder larvae. J. Fish Biol. 60, 1363-1380. (doi:10.1111/j.1095-8649. 2002.tb02432.x)
12. Droop, M. R. 1973 Some thoughts on nutrient limitation in algae. J. Phycol. 9, 264-272.
13. Droop, M. R. 1974 The nutrient status of algal cells in continuous culture. J. Mar. Biol. Assoc. UK 54, 825-855. (doi:10.1017/S002531540005760X)
14. Droop, M. R. 1983 25 years of algal growth kinetics. Bot. Mar. 26, 99-112. (doi:10.1515/botm.1983.26.3.99)
15. Du, S. B. & Mai, K. S. 2004 Effects of starvation on energy reserves in young juveniles of abalone Haliotis discus hannai Ino. J. Shellfish Res. 23, 1037-1039.
16. Ducrot, V., Péry, A. R. R. & Lagadic, L. 2010 Modelling effects of diquat under realistic exposure patterns in genetically differentiated populations of the gastropod Lymnaea stagnalis. Phil. Trans. R. Soc. B 365, 3485-3494. (doi:10.1098/rstb.2010.0047)
17. Emerson, S. 1950 The growth phase in neurospora corresponding to the logarithmic phase in unicellular organisms. J. Bacteriol. 60, 221-223.
18. Ferreira, B. P. & Russ, G. R. 1994 Age validation and estimation of growth-rate of the coral trout, Plectropomus leopardus, (Lacepede 1802) from Lizard Island, Northern Great Barrier Reef. Fish. Bull. 92, 46-57.
19. Finch, C. E. 1990 Longevity, senescence, and the genome. Chicago, IL: University of Chicago Press.
20. Fink, P., Peters, L. & Von Elert, E. 2006 Stoichiometric mismatch between littoral invertebrates and their periphyton food. Arch. Hydrobiol.165, 145-165. (doi:10.1127/ 0003-9136/2006/0165-0145)
21. Fisher, R. A. & Tippitt, L. H. C. 1928 Limiting forms of the frequency distribution of the largest or the smallest member of a sample. Proc. Camb. Phil. Soc. 24, 180-190. (doi:10.1017/S0305004100015681)
22. Frazer, N. B., Gibbons, J. W. & Greener, J. L. 1990 Exploring Fabens growth interval model with data on a long-lived vertebrate, Trachemys scripta (Reptilia: Testudinata). Copeia 1, 112-118. (doi:10.2307/1445827)
23. Freitas, V., Cardoso, J. F. M. F., Lika, K., Peck, M. A., Campos, J., Kooijman, S. A. L. M & van der Veer, H. W. 2010 Temperature tolerance and energetics: A dynamic energy budget-based comparison of North Atlantic marine species. Phil. Trans. R. Soc. B 365, 3553-3565. (doi:10.1098/rstb.2010.0049)
24. Gallardo, C. S., Manque, C. & Filun, M. 2004 Comparative resistance to starvation among early juveniles of some marine muricoidean snails. Nautilus 118, 121-126.
25. Galluci, V. F. & Quinn, T. J. 1979 Reparameterizing, fitting, and testing a simple growth-model. Trans. Am. Fish. Soc. 108, 14-25. (doi:10.1577/1548- 8659(1979)108<14:RFATAS>2.0.CO;2)
26. Genoud, M. 1988 Energetic strategies of shrews: Ecological constraints and evolutionary implications. Mammal. Rev. 4, 173-193. (doi:10.1111/j.1365- 2907.1988. tb00083.x)
27. Gompertz, B. 1825 On the nature of the function expressive of the law of mortality, and on a new method of determining the value of life contingencies. Phil. Trans. R. Soc. 27, 513-585. (doi:10.1098/rstl.1825.0026)
28. Hanegraaf, P. P. F., Stouthamer, A. H. & Kooijman, S. A. L. M. 2000 A mathematical model for yeast respiro-fermentative physiology. Yeast 16, 423-437. (doi:10.1002/(SICI)1097-0061(20000330)16:5,423: :AID-YEA541.3.0.CO;2-I)
29. Hawkins, P. A. J., Butler, P. J., Woakes, A. J. & Gabrielsen, G. W. 1997 Heat increment of feeding in Brunnich's guillemot Uria lomvia. J. Exp. Biol. 200, 1757-1763.
30. Heino, M. & Kaitala, V. 1999 Evolution of resource allocation between growth and reproduction in animals with indeterminate growth. J. Evol. Biol. 12, 423-429. (doi:10.1046/j.1420-9101.1999.00044.x) (Pubitemid 29291737)
31. Hill, H. V. 1910 The possible effects of aggregation on the molecules of haemoglobin on its dissociation curves. J. Physiol. 40, pIV-VII.
32. Hirche, H. J. & Kattner, G. 1993 Egg production and lipid content of Calanus glacialis in spring: Indication of a food-dependent and food-independent reproductive mode. Mar. Biol. 117, 615-622. (doi:10.1007/ BF00349773)
33. Holling, C. S. 1959 Some characteristics of simple types of predation and parasitism. Can. Entomol. 91, 385-398. (doi:10.4039/Ent91385-7)
34. Hubert, M. F., Laroque, P., Gillet, J. P. & Keenan, K. P. 2000 The effects of diet, ad libitum feeding, and moderate and severe dietary restriction on body weight, survival, clinical pathology parameters, and cause of death in control Sprague Dawley rats. Toxicol. Sci. 58, 195-207. (doi:10.1093/toxsci/58. 1.195)
35. Huggett, A. S. & Widdas, W. F. 1951 The relationship between mammalian foetal weight and conception age. J. Physiol. 114, 306-317.
36. Hungate, R. E. 1975 The rumen microbial ecosystem. Ann. Rev. Ecol. Syst. 6, 39-66. (doi:10.1146/annurev.es.06. 110175.000351)
37. Huxley, J. S. 1932 Problems of relative growth. London, UK: Methuen Co.
38. Ingenbleek, Y. 2006 The nutritional relationship linking sulfur to nitrogen in living organisms. J. Nutr. 136, 1641-1651.
39. Jager, T. & Klok, C. 2010 Extrapolating toxic effects on individuals to the population level: The role of dynamic energy budgets. Phil. Trans. R. Soc. B 365, 3531-3540. (doi:10.1098/rstb.2010.0137)
40. Jager, T., Crommentuijn, T., van Gestel, C. A. M. & Kooijman, S. A. L. M. 2004 Simultaneous modelling of multiple endpoints in life-cycle toxicity tests. Environ. Sci. Technol. 38, 2894-2900. (doi:10.1021/es0352348)
41. Janes, D. N. & Chappell, M. A. 1995 The effect of ration size and body-size on specific dynamic action in adelie penguin chicks, Pygoscelis-adeliae. Physiol. Zool. 68, 1029-1044.
42. Jorgensen, C. & Fiksen, O. 2006 State-dependent energy allocation in cod (Gadus morhua). Can. J. Fish. Aquat. Sci. 63, 186-199. (doi:10.1139/f05-209)
43. Kearney, M., Simpson, S. J., Raubenheimer, D. & Helmuth, B. 2010 Modelling the ecological niche from functional traits. Phil. Trans. R. Soc. B 365, 3469-3483. (doi:10. 1098/rstb.2010.0034)
44. Kirk, K. L. 1997 Life-history responses to variable environments: Starvation and reproduction in planktonic rotifers. Ecology 78, 434-441. (doi:10.1890/0012- 9658(1997)078[0434:LHRTVE]2.0.CO;2)
45. Kjesbu, O. S., Klungsoyr, J., Kryvi, H., Witthames, P. R. & Walker, M. G. 1991 Fecundity, atresia, and egg size of captive atlantic cod (Gadus morhua) in relation to proximate body-composition. Can. J. Fish. Aquat. Sci. 48, 2333-2343. (doi:10.1139/f91-274)
46. Kleiber, M. 1932 Body size and metabolism. Hilgardia 6, 315-353.
47. Kooi, B. W. & van derMeer, J. 2010 Bifurcation theory, adaptive dynamics and dynamic energy budget-structured populations of iteroparous species. Phil. Trans. R. Soc. B 365, 3579-3590. (doi:10.1098/rstb.2010.0173)
48. Kooijman, S. A. L. M. 1998 The synthesizing unit as model for the stoichiometric fusion and branching of metabolic fluxes. Biophys. Chem. 73, 179-188. (doi:10.1016/ S0301-4622(98)00162-8)
49. Kooijman, S. A. L. M. 2000 Dynamic energy and mass budgets in biological systems. Cambridge, UK: Cambridge University Press.
50. Kooijman, S. A. L. M. 2001 Quantitative aspects of metabolic organization: A discussion of concepts. Phil. Trans. R. Soc. Lond. B 356, 331-349. (doi:10.1098/rstb. 2000.0771) (Pubitemid 32305008)
51. Kooijman, S. A. L. M. 2004 On the coevolution of life and its environment. In Scientists debate Gaia: The next century(eds S. H. Schneider, J. R. Miller, E. Crist & P. J. Boston), ch. 30, pp. 343-351. Cambridge, MA: MIT Press.
52. Kooijman, S. A. L. M. 2009 What the egg can tell about its hen: Embryo development on the basis of dynamic energy budgets. J. Math. Biol. 58, 377-394. (doi:10.1007/ s00285-008-0195-x)
53. Kooijman, S. A. L. M. 2010 Dynamic energy budget theory for metabolic organization. Cambridge, UK: Cambridge University Press.
54. Kooijman, S.A. L. M.&Bedaux, J. J. M. 1996 Analysis of toxicity tests on daphnia survival and reproduction. Water Res. 30, 1711-1723. (doi:10.1016/0043-1354(96)00054-1) (Pubitemid 26229429)
55. Kooijman, S. A. L.M. & Hengeveld, R. 2005 The symbiontic nature of metabolic evolution. In Current themes in theoretical biology: A Dutch perspective (eds T. A. C. Reydon & L. Hemerik), pp. 159-202. Dordrecht, The Netherlands: Springer.
56. Kooijman, S. A. L. M. & Metz, J. A. J. 1984 On the dynamics of chemically stressed populations: The deduction of population consequences from effects on individuals. Ecotoxicol. Environ. Saf. 8, 254-274. (doi:10.1016/0147-6513(84)90029-0)
57. Kooijman, S. A. L. M. & Segel, L. A. 2005 How growth affects the fate of cellular substrates. Bull. Math. Biol. 67, 57-77. (doi:10.1016/j.bulm.2004. 06.003) (Pubitemid 40191440)
58. Kooijman, S. A. L. M. & Troost, T. A. 2007 Quantitative steps in the evolution of metabolic organisation as specified by the dynamic energy budget theory. Biol. Rev. 82, 1-30. (doi:10.1111/j.1469-185X.2006.00006.x)
59. Kooijman, S. A. L. M., Auger, P., Poggiale, J. C. & Kooi, B. W. 2003 Quantitative steps in symbiogenesis and the evolution of homeostasis. Biol. Rev. 78, 435-463. (doi:10. 1017/S1464793102006127)
60. Kooijman, S. A. L. M., Sousa, T., Pecquerie, L., van der Meer, J. & Jager, T. 2008 From food-dependent statistics to metabolic parameters, a practical guide to the use of dynamic energy budget theory. Biol. Rev. 83, 533-552.
61. Kozlowski, J. 1996 Optimal allocation of resources explains interspecific life-history patterns in animals with indeterminate growth. Proc. R. Soc. Lond. B 263, 559-566. (doi:10.1098/rspb.1996.0084) (Pubitemid 26169437)
62. Krol, E., Redman, P., Thomson, P. J., Williams, R., Mayer, C., Mercer, J. G. & Speakman, J. R. 2005 Effect of photoperiod on body mass, food intake and body composition in the field vole, Microtus agrestis. J. Exp. Biol. 208, 571-584. (doi:10.1242/jeb.01429) (Pubitemid 40307439)
63. Kunji, E. R. S., Ubbink, T., Matin, A., Poolman, B. & Konings, W. N. 1993 Physiological responses of Lactococcus lactis ML3 to alternating conditions of growth and starvation. Arch. Microbiol. 159, 372-379. (doi:10.1007/ BF00290920)
64. Letcher, B. H., Rice, J. A., Crowder, L. B. & Binkowski, F. P. 1996 Size-dependent effects of continuous and intermittent feeding on starvation time and mass loss in starving yellow perch larvae and juveniles. Trans. Am. Fish. Soc. 125, 14-26. (doi:10.1577/1548-8659(1996)125, 0014:SDEOCA.2.3.CO;2)
65. Leudeking, R. & Piret, E. L. 1959 A kinetic study of the lactic acid fermentation. J. Biochem. Microbiol. Technol. Eng. 1, 393. (doi:10.1002/jbmte. 390010406)
66. Lorena, A., Marques, G. M., Kooijman, S. A. L. M. & Sousa, T. 2010 Stylized facts in microalgal growth: Interpretation in a dynamic energy budget context. Phil. Trans. R. Soc. B 365, 3509-3521. (doi:10.1098/rstb.2010.0101)
67. Marr, A. G., Nilson, E. H. & Clark, D. J. 1963 Themaintenance requirement of Escherichia coli. Ann. NY Acad. Sci. 102, 536-548. (doi:10.1111/j.1749-6632.1963.tb13659.x)
68. Mayneord, W. V. 1932 On a law of growth of jensen's rat sarcoma. Am. J. Cancer 16, 841-846.
69. Molnar, T., Szabo, A., Szabo, G., Szabo, C. & Hancz, C. 2006 Effect of different dietary fat content and fat type on the growth and body composition of intensively reared pikeperch Sander lucioperca (L.). Aquaculture Nutr. 12, 173-182. (doi:10.1111/j.1365-2095.2006.00398.x) (Pubitemid 43926980)
70. Monod, J. 1942 Recherches sur la croissance des cultures bacteriennes, 2nd edn. Paris, France: Hermann.
71. Morowitz, H. J. 1968 Energy flow in biology. New York, NY: Academic Press.
72. Nespolo, R. F., Castaneda, L. E. & Roff, D. A. 2005 The effect of fasting on activity and resting metabolism in the sand cricket, Gryllus firmus: A multivariate approach. J. Insect Physiol. 51, 61-66. (doi:10.1016/j.jinsphys. 2004.11.005)
73. Nisbet, R. M., McCauley, E. & Johnson, L. R. 2010 Dynamic energy budget theory and population ecology: Lessons from Daphnia. Phil. Trans. R. Soc. B 365, 3541-3552. (doi:10.1098/rstb.2010.0167)
74. Nisbet, R., Muller, E., Lika, K. & Kooijman, S. A. L. M. 2000 From molecules to ecosystems through dynamic energy budget models. J. Anim. Ecol. 69, 913-926. (doi:10.1046/j.1365-2656.2000.00448.x) (Pubitemid 32111260)
75. Pearl, R. 1927 The growth of populations. Q. Rev. Biol. 2, 532-548. (doi:10.1086/394288)
76. Pecquerie, L., Nisbet, R. M., Fablet, R., Lorrain, A. & Kooijman, S. A. L. M. 2010 The impact of metabolism on stable isotope dynamics: A theoretical framework. Phil. Trans. R. Soc. B 365, 3455-3468. (doi:10.1098/rstb.2010. 0097)
77. Peters, R. H. 1983 The ecological implications of body size. Cambridge, UK: Cambridge University Press.
78. Pettit, T. N. 1982 Embryonic oxygen-consumption and growth of Laysan and black-footed albatross. Am. J. Physiol. Regul. Integr. Comp. Physiol. 242, 121-128.
79. Pirt, S. J. 1965 The maintenance energy of bacteria in growing cultures. Proc. R. Soc. Lond. B 163, 224-231. (doi:10.1098/rspb.1965.0069)
80. Poggiale, J.-C., Baklouti, M., Queguiner, B. & Kooijman, S. A. L. M. 2010 How far details are important in ecosystem modelling: The case of multi-limiting nutrients in phytoplankton-zooplankton interactions. Phil. Trans. R. Soc. B 365, 3495-3507. (doi:10.1098/rstb.2010.0165)
81. Putter, A. 1920 Studies on the physiological similarity. VI. Similarities in growth. Pflugers Archiv für die Gesamte Physiologie des Menschen und der Tiere 180, 280.
82. Rahn, H. & Ar, A. 1974 The avian egg: Incubation time and water loss. Condor 76, 147-152. (doi:10.2307/1366724)
83. Richman, S. 1958 The transformation of energy by Daphnia pulex. Ecol. Monogr. 76, 273. (doi:10.2307/1942243)
84. Ricklefs, R. E. & Finch, C. E. 1995 Aging: A natural history. New York, NY: Scientific American Library.
85. Roberts, R. D., Lapworth, C. & Barker, R. J. 2001 Effect of starvation on the growth and survival of post-larval abalone (Haliotis iris). Aquaculture 200, 323-338. (doi:10.1016/S0044-8486(01)00531-2) (Pubitemid 32792528)
86. Romijn, C. & Lokhorst, W. 1951 Foetal respiration in the hen-the respiratory metabolism of the embryo. Physiol. Comp. Oecolog. 2, 187-197.
87. Rosen, D. A. S. & Trites, A. W. 1997 Heat increment of feeding in Steller sea lions, Eumetopias jubatus. Comp. Biochem. Physiol. A-Mol. Integr. Physiol. 118, 877-881. (doi:10.1016/S0300-9629(97)00039-X) (Pubitemid 28009931)
88. Ross, J. L., Stevens, T. M. & Vaughan, D. S. 1995 Age, growth, mortality, and reproductive biology of red drums in North Carolina waters. Trans. Am. Fish. Soc. 124, 37-54. (doi:10.1577/1548-8659(1995)124, 0037:AGMARB.2.3.CO;2)
89. Russell, N. R. & Wootton, R. J. 1992 Appetite and growth compensation in the European minnow, Phoxinus phoxinus (Cyprinidae), following short periods of foodrestriction. Environ. Biol. Fishes 34, 277-285. (doi:10. 1007/BF00004774)
90. Savage, V. M., Gillooly, J. F., Woodruff, W. H., West, G. B., Allen, A. P., Enquist, B. J. & Brown, J. H. 2004 The predominance of quarter-power scaling in biology. Funct. Ecol. 57, 257-282. (doi:10.1111/j.0269-8463. 2004.00856.x)
91. Schwartz, C. C. & Hundertmark, K. J. 1993 Reproductive characteristics of Alaskan moose. J. Wildl. Manage. 57, 454-468. (doi:10.2307/3809270)
92. Seale, J. L., Rumpler, W. V. & Moe, P. W. 1991 Description of a direct-indirect room-sized calorimeter. Am. J. Physiol. Endocrinol. Metab. 57, E306-E320.
93. Shine, R. & Iverson, J. B. 1995 Patterns of survival, growth and maturation in turtles. Oikos 72, 343-348. (doi:10. 2307/3546119)
94. Smith, S. 1957 Early development and hatching. In The physiology of fishes, vol.1 (ed. M. E. Brown), pp. 323- 359. San Diego, CA: Academic Press.
95. Sousa, T., Mota, R., Domingos, T. & Kooijman, S. A. L. M. 2006 Thermodynamics of organisms in the context of dynamic energy budget theory. Phys. Rev. E 74, 051901. (doi:10.1103/PhysRevE.74.051901) (Pubitemid 44711858)
96. Sousa, T., Domingos, T. & Kooijman, S. A. L. M. 2008 From empirical patterns to theory: A formal metabolic theory of life. Phil. Trans. R. Soc. B 363, 2453-2464. (doi:10.1098/rstb.2007.2230) (Pubitemid 351839871)
97. Steenbergen, R., Nanowski, T. S., Nelson, R., Young, S. G. & Vance, J. E. 2006 Phospholipid homeostasis in phosphatidylserine synthase-2-deficient mice. Biochim. Biophys. Acta Mol. Cell Biol. Lipids 1761, 313-323.
98. Stockhoff, B. A. 1991 Starvation resistance of gipsy moth, Lymantria dispar (L.) (Lepidoptera: Lymantriidae): Tradeoffs among growth, body size and survival. Oecologia 82, 422-429. (doi:10.1007/BF00317588)
99. Stromgren, T. & Cary, C. 1984 Growth in length of Mytilus edulis L. fed on different algal diets. J. Exp. Mar. Biol. Ecol. 76, 23-34. (doi:10.1016/0022-0981(84) 90014-5)
100. Strum, S. C. 1991 Weight and age in wild olive baboons. Am. J. Primatol. 25, 219-237. (doi:10.1002/ajp. 1350250403)
101. Summers, W. C. 1971 Age and growth of Loligo pealei, a population study of the common Atlantic coast squid. Biol. Bull. (Woods Hole) 141, 189-201. (doi:10.2307/ 1540003)
102. Thomas, P. G. & Ikeda, T. 1987 Sexual regression, shrinkage, re-maturation and growth of spent female Euphausia superba in the laboratory. Mar. Biol. 95, 357-363. (doi:10.1007/BF00409565)
103. Thornton, W. M. 1917 The relation of oxygen to the heat of combustion of organic compounds. Phil. Mag. 33, 196-203.
104. Troost, T. A., Kooi, B. W. & Kooijman, S. A. L. M. 2005 When do mixotrophs specialize? Adaptive dynamics theory applied to a dynamic energy budget model. Math. Biosci. 193, 159-182. (doi:10.1016/j.mbs.2004. 06.010) (Pubitemid 40312899)
105. Troost, T. A., Kooi, B. W. & Kooijman, S. A. L. M. 2007 Bifurcation analysis can unify ecological and evolutionary aspects of ecosystems. Ecol. Mod. 204, 253-268. (doi:10. 1016/j.ecolmodel.2007.01.007)
106. Troost, T. A., Wijsman, J. W. M., Saraiva, S. & Freitas, V. 2010 Modelling shellfish growth with dynamic energy budget models: An application for cockles and mussels in the Oosterschelde (southwest Netherlands). Phil. Trans. R. Soc. B 365, 3567-3577. (doi:10.1098/rstb.2010.0074)
107. van Leeuwen, I. M. M., Vera, J. & Wolkenhauer, O. 2010 Dynamic energy budget approaches for modelling organismal ageing. Phil. Trans. R. Soc. B 365, 3443-3454. (doi:10.1098/rstb.2010.0071)
108. Vinga, S., Neves, A. R., Santos, H., Brandt, B. W. & Kooijman, S. A. L. M. 2010 Subcellular metabolic organization in the context of dynamic energy budget and biochemical systems theories. Phil. Trans. R. Soc. B 365, 3429-3442. (doi:10.1098/rstb.2010.0156)
109. von Bertalanffy, L. 1938 A quantitative theory of organic growth (Inquiries on growth laws. II.). Hum. Biol. 10, 181-213.
110. Weibull, W. 1951 A statistical distribution of wide applicability. J. Appl. Mech. 18, 293-297.
111. Weindruch, R., Walford, R. L., Fligiel, S. & Guthrie, D. 1986 The retardation of aging in mice by dietary restriction: Longevity, cancer, immunity and lifetime energy intake. J. Nutr. 116, 641-654.
112. Whitehead, P. J. P. 1987 Respiration of Crocodylus johnstoni embryos. In Wildlife management: Crocodiles and alligators (eds G. J. W. Webb, S. C. Manolis & P. J. P. Whitehead). Sydney, Australia: University of Minnesota Press.
113. Zheng, H. P., Ke, C. H., Zhou, S. Q. & Li, F. X. 2005 Effects of starvation on larval growth, survival and metamorphosis of ivory shell Babylonia formosae habei Altena et al., 1981 (Neogastropoda: Buccinidae). Aquaculture 243, 357-366. (doi:10.1016/j.aquaculture. 2004.10.010)
114. Zonneveld, C. & Kooijman, S. A. L. M. 1993 Comparative kinetics of embryo development. Bull. Math. Biol. 55, 609-635.