Aging and Evolution



Similar empirical patterns of behavior are found in seemingly very different fields which once put together account for a « big history » approach of aging and evolution. It is shown that known curves for the creep of metals, the reliability of industrial systems, the mortality and survival of biological entities, learning, the general adaptation syndrome, (neo-)Darwinian evolution and the expansion of the universe can be compared and allow to conceive a general adaptation framework of complex adaptive systems. Equations are proposed for four shapes of curves found in laboratory and/or observational practice which can then be transformed into each other in function of the properties to be put into evidence. An entropy production can be linked to the phenomena under scope. The « big history » approach allows to go from global to peculiar. It thus shows the importance of using the correct orders of magnitude for the involved parameters (time, stress, temperature, energy …) when analysing a specific phenomenon.




David Christian, Maps of Time: An Introduction to Big History, Berkeley, CA: University of California Press, 2nd ed., 2011

Fred Spier, Big History and the Future of Humanity, 2nd ed., Malden, MA: Wiley/Blackwell, 2015

Cynthia Stokes Brown, Big History: From the Big Bang to the Present, 2nd ed., New York: New Press, 2012

Andrea Wulf, The Invention of Nature: The Adventures of Alexander von Humboldt, the Lost Hero of Science, (London: John Murray, 2015)

H.G. Wells, Outline of History: Being a Plain History of Life and Mankind, 3rd ed., (New York: Macmillan,1921)

G. U. Crevecoeur, Quantitative General Adaptation. JePublie, Paris, 2008

G.U. Crevecoeur. An Integrated Method for Remanent Life Assessment under Creep. In Design and Analysis Methods for Plant Life Assessment, volume 112 of PVP, pages 45–56, New York, (Ed. American Society of Mechanical Engineers ASME. Pressure Vessel and Piping Conference, 1986)

G.U. Crevecoeur. Über den Einsatz zerstörungsfreier und zerstörender Prüfverfahren zur Abschätzung der Restlebensdauer von Bauteilen unter dem Einfluss von Kriechen. Der Maschinenschaden, 60 (Heft1):31–40, 1987.

G.U. Crevecoeur. Translation into Japanese of : Über den Einsatz zerstörungsfreier und zerstörender Prüfverfahren zur Abschätzung der Restlebensdauer von Bauteilen unter dem Einfluss von Kriechen. Kikai no songai, 33(93):15–24, 1991

G.U. Crevecoeur. Four parameters databank for full creep curve characterization. In Life Extension and Assessment: Nuclear and Fossil Power-Plant Components, volume 138 of PVP, pages 203–210, New York, (Ed. American Society of Mechanical Engineers ASME. Pressure Vessel and Piping Conference and also reference NDE 4, 1988)

E.N. da C. Andrade. On the viscous flow in metals and allied phenomena. Proc. R. Soc. A, 84:1–12, 1910 [DOI 10.1098/rspa.1910.0050]

G. Smith. Properties of metals at elevated temperatures. Mc Graw Hill Book Co, Inc., New York, 3 edition, 1950

F.H. Norton. The Creep of Steel at High Temperatures. Ed. Mc Graw-Hill, 1929

Creep data sheet. N3B. National Research Institute for Metals (NRIM), Tokyo, 1986

J.T. Duane. Learning curve approach to reliability monitoring. IEEE Trans. Aerospace, 2(2):563–566, 1964 [DOI 10.1109/TA.1964.4319640]

W.M. Bassin. Increasing hazard functions and overhaul policy. In Proc.1969 Ann. Symp. Reliability, 173–178, 1969

R. Bell and R. Miodusky. Extension of life of US army trucks. In Proc.1976 Ann. Reliability & Maintainability Symp., pages 200–205, 1976

G.U. Crevecoeur. A Model for the Integrity Assessment of Ageing Repairable Systems. IEEE Trans. Reliability, 42(1):148–155, 1993 [DOI 10.1109/24.210287]

G.U. Crevecoeur. Reliability assessment of ageing operating systems. Eur. J. Mech. Eng., 39(4):219–228, 1994

Junfeng Liu, Yi Wang. On Crevecoeur’s bathtub-shaped failure rate model. Computational Statistics and Data Analysis 57:645–660, 2013 [DOI 10.1016/j.csda.2012.08.002]

L. Lee. Testing adequacy of the Weibull and Log linear rate models for a Poisson process. Technometrics 22 (2) : 195–199, 1980

C.D. Lai, M. Xie, D.N.P. Murthy. A modified Weibull distribution. IEEE Trans. Reliab. 52 (1) : 33–37, 2003 [DOI 10.1109/TR.2002.805788]

C.D. Lai, T. Moore, M. Xie. The beta integrated model. In : Proc. Int. Workshop on Reliability Modeling and Analysis—From Theory to Practice, pp. 153–159, 1998

H. Selye. A syndrome produced by diverse nocuous agents. Nature, 138:32, 1936

H. Selye. Studies on adaptation. Endocrinology,21(2):169–188, 1937

H. Selye. Stress and the General Adaptation Syndrome. British Med. J., 1383-1392, 1950

H. Selye. Stress and aging. J. Am. Geriatr. Soc., 18:669–680, 1970 [DOI 10.1111/j.1532-5415.1970.tb02813.x]

H. Selye. Stress Without Distress. Ed. J.B. Lippincott Co., New York, 1974

Counselling Connection (the Official Blog of the Australian Institute of Professional Counsellors).

Z. Shao, W. Gao, Y. Yao, Y. Zhuo, and J.E. Riggs. The dynamics of aging and mortality in the People’s Republic of China, 1957-1990. Mech. Ageing and Dev. 67:239–246, 1993 [DOI 10.1016/0047-6374(93)90002-9]

A. Comfort. Ageing : The Biology of Senescence. Ed. Elsevier, New York, 1979

T. Fotsis, Y. Zhang, M.S. Pepper, H. Adlercreutz, R. Montesano, P.P. Nawroth, and L. Schweigerer. The endogenous, oestrogen metabolite 2-methoxyoestradiol inhibits angiogenesis and suppresses tumour growth. Nature, 368:237–239, 1994 [DOI 10.1038/368237a0]

J.E. Compston. Osteoporosis, corticosteroids and inflammatory bowel disease. Aliment. Pharmacol. Ther., 9:237–250, 1995 [DOI 10.1111/j.1365-2036.1995.tb00378.x]

F. Verzar and H. Thoenen. Die Wirkung von Elektrolyten auf die thermische Kontraktion von Collagenfaden. Gerontologia, 4:112–119, 1960

R.C. Young, D.L. Borden, and R.E. Rachal. Aging of the lung : pulmonary disease in the elderly. Age, 10:138–145, 1987 [DOI 10.1007/BF02432161]

R.R. Willoughby. Incidental learning. J. Educ. Psychol., 20:671–682, 1929

T. Matsumura, Z. Zerrudo and L. Hayflick. Senescent human diploid cells in culture : survival, DNA synthesis and morphology. J. Gerontol., 34:328–334, 1979 [DOI 10.1093/geronj/34.3.328]

E.E. Baulieu. Studies of conjugated 17-ketosteroids in a case of adrenal tumor. J. Clin. Endocrinol. Metab., 22:501, 1962 [DOI 10.1210/jcem-22-5-501]

N. Orentreich, J.L. Brind, R.L. Rizer and J.H. Vogelman. Age changes and sex differences in serum dehydroepiandrosterone sulfate concentrations throughout adulthood. J. Clin. Endocrinol. Metab., 59(3):551–554, 1984 [DOI 10.1210/jcem-59-3-551]

M.R. Smith, B.T. Rudd, A. Shirley, P.H.W. Rayner, J.W. Williams, N.M. Duignan and P.V. Bertrand. A radioimmunoassay for the estimation of serum dehydroepiandrosterone sulphate in normal and pathological sera. Clin. Chim. Acta, 65:5–13, 1975

Y. Hori, E.H. Perkins and M.K. Halsall. Decline in phytohemagglutinin responsiveness of spleen cells from aged mice. Proc. Soc. Exp. Biol. Med., 144:48, 1973 [DOI 10.3181/00379727-144-37524]

M. Nei. Molecular Population Genetics and Evolution, volume 40 of Research Monographs, Frontiers of Biology. Ed. North-Holland Publishing Company, Amsterdam, 1975

C. de Duve. Vital Dust. Life as a Cosmic Imperative. Ed. Basic Books, a division of HarperCollins Publishers Inc, 1995

Wikipedia article, ref. :

N.Eldredge and S.J. Gould. Punctuated equilibria : an alternative to phyletic gradualism. In T.J.M. Schopf, ed., Models in Paleobiology. San Francisco: Freeman Cooper, pp. 82-115, 1972. Reprinted in N. Eldredge. Time frames. Princeton: Princeton Univ. Press, pp. 193-223, 1985

D.E. Kellogg. The role of phyletic change in the evolution of Pseudocubus vema (Radiolaria). Paleobiology, 1:359–370, 1975 [DOI10.1017/S0094837300002669]

R.E. Lenski and M. Travisano. Dynamics of adaptation and diversification : a 10,000-generation experiment with bacterial populations. Proc. Natl. Acad. Sci. USA, 91:6808–6814, 1994 [DOI 10.1073/pnas.91.15.6808]

S.F. Elena, V.S. Cooper and R.E. Lenski Punctuated Evolution caused by Selection of Rare Beneficial Mutations. Science, 272:1802–1804, 1996 [DOI 10.1126/science.272.5269.1802]

Richard Lenski, E. coli Long-term Experimental Evolution Project Site,, last accessed February 26, 2018.

Richard Lenski, Publications List,, last accessed February 26, 2018.

G.U. Crevecoeur. A mechanical system interpretation of the nonlinear kinetics observed in biological ageing. Bull. Soc. Roy. Sci. Liège, 69(6):311–338, 2000

G.U. Crevecoeur. A system approach modelling of the three-stage nonlinear kinetics in biological ageing. Mech. Ageing Dev., 122(3):271–290, February 2001 [DOI 10.1016/S0047-6374(00)00233-5]

Max-Planck-Institut für extraterrestrische Physik – Garching (MPE-Garching). Report 2007 – 2012. Editors and Layout: W. Collmar, B. Niebisch and J. Zanker-Smith, June 2013

G. Lemaître. The Beginning of the World from the Point of View of Quantum Theory. Nature, 127:706, 1931

A. Einstein. Kosmologische Betrachtungen zur Allgemeinen Relativitätstheorie. Sitz. der Königlichen Preussischen Akademie der Wissenschaften zu Berlin, VI:142, 1917

G.U. Crevecoeur. A system approach to the Einstein-de Sitter model of expansion of the universe. Bull. Soc. Roy. Sci. Liège, 66(6):417–433, 1997

G.U. Crevecoeur. A Simple Procedure to Assess the Time Dependence of Cosmological Parameters. Phys. Essays, 12(1):115–124, March 1999 [DOI 10.4006/1.3025354]

B. Schwarzschild. Very Distant Supernovae suggest that the Cosmic Expansion is speeding up. Physics Today, pages 17–19, June 1998 [DOI 10.1063/1.882267]

A.G. Riess, A.V. Filippenko, P. Challis, A. Clocchiatti, A. Diercks, P.M. Garnavich, R.L. Gilliland, C.J. Hogan, S. Jha, R.P. Kirschner, B. Leibundgut, M.M. Phillips, D. Reiss, B.P. Schmidt, R.A. Schommer, R. Chris Smith, J. Spyromilio, Ch. Stubbs, N.B. Suntzeff, and J. Tonry. Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. Astron. J., 116:1009–1038, September 1998 [DOI 10.1086/300499]

S. Perlmutter, G. Aldering, G. Goldhaber, R.A. Knop, P. Nugent, P.G. Castro, S. Deustua, S. Fabbro, A. Goobar, D.E. Groom, I.M. Hook, A.G. Kim, M.Y. Kim, J.C. Lee, N.J. Nunes, R. Pain, C.R. Pennypacker, R. Quimby, C. Lidman, R.S. Ellis, M. Irwin, R.G. McMahon, P. Ruiz-Lapuente, N. Walton, B. Schaefer, B.J. Boyle, A.V. Filippenko, T. Matheson, A.S. Fruchter, N. Panagia, H.J.M. Newberg, and W.J. Couch. Measurements of Omega and Lambda from 42 High-Redshift Supernovae. Astrophys. J., 517:565–586, June 1999 [DOI 10.1086/307221]

C.L. Bennett, L. Larson, J.L. Weiland, N. Jarosk et al. Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Final Maps and Results. The Astrophysical Journal Supplement 208 (2): 20,[arXiv:1212:5225], 2013 [DOI 10.1088/0067-0049/208/2/20]

Planck collaboration. Planck 2015 results. I. Overview of products and scientific results. Astronomy & Astrophysics manuscript, [arXiv :1502.01582v2 astro-ph.CO], 10 Aug 2015

G. U. Crevecoeur. Evolution of the distance scale factor and the Hubble parameter in the light of Planck’s results, [arXiv:1603.06834v2 physics.gen-ph], 15 Feb 2017

G.U. Crevecoeur. Time evolution of dark energy and other cosmological parameters. Phys. Essays, 30(3):255–263, September 2017 [DOI 10.4006/0836-1398-30.3.255]

Phelan, S.E. A Note on the Correspondence Between Complexity and Systems Theory. Systemic Practice and Action Research, Vol. 12, No. 3, 237-246, 1999 [DOI 10.1023/A:1022495500485]

J.W. Forrester. Principles of Systems. Ed. Wright-Allen Press, 1968

P. Bak, C. Tang, and K. Wiesenfeld. Self-organized criticality : an explanation of 1/f noise. Phys. Rev. Lett., 59:381–384, 1987 [DOI 10.1103/PhysRevLett.59.381]

P. Bak, C. Tang, and K. Wiesenfeld. Self-organized criticality. Phys. Rev. A, 38(1):364–374, 1988 [DOI 10.1103/PhysRevA.38.364]

E. Schrödinger. What is Life ? Cambridge University Press, 1967

J. Cairns, J. Overbaugh and S. Miller. The origin of mutants. Nature, 335:142–145, 1988 [DOI 10.1038/335142a0]

B.G. Hall. Spontaneous point mutations that occur more often when advantageous than when neutral. Genetics, 126:5–16, 1990

L. Boltzmann. Entgegnung auf die wärmetheoretischen Betrachtungen des Hrn. E. Zermelo. Wiedermann Ann., 57:773–784, 1895

I. Prigogine. Introduction to Thermodynamics of Irreversible Processes. Ed. Interscience Publishers, New York, 2 edition, 1961

E. Chaisson, Cosmic Evolution: The Rise of Complexity in Nature, Cambridge, MA: Harvard University Press, 2001

D. Layzer. The arrow of time. Scientific American, 12:56–69, 1975