On the implications of the classical ergodic theorems: Analysis of developmental processes has to focus on intra-individual variation

Developmental Psychobiology

Volumn 50, Issue 1, 2008, Pages 60-69

  Molenaar, Peter C M ^a  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

Author keywords

Intra individual variation; Nonergodicity; Nonlinear epigenetics; Simulation studies

Indexed keywords

CONFERENCE PAPER; DEVELOPMENTAL BIOLOGY; EPIGENETICS; GENE STRUCTURE; GENETIC ANALYSIS; GENETIC HETEROGENEITY; GENETIC VARIABILITY; HUMAN; NERVE CELL GROWTH; STATISTICAL ANALYSIS;

BRAIN; GENETIC HETEROGENEITY; GROWTH AND DEVELOPMENT; HUMANS; MODELS, THEORETICAL; SOCIAL BEHAVIOR; VARIATION (GENETICS);

EID: 38049025768     PISSN: 00121630     EISSN: 10982302     Source Type: Journal    
DOI: 10.1002/dev.20262     Document Type: Conference Paper

References (48)

1. Borkenau, P., & Ostendorf, F. (1998). The Big Five as states: How useful is the five factor model to describe intraindividual variations over time? Journal of Research in Personality, 32, 202-221.
2. Burgess, R. L. (2005). Evolutionary theory and human development. In R. L. Burgess & K. MacDonald (Eds.), Evolutionary perspectives on human development (2nd ed., pp. 1-19). Thousand Oaks, CA: Sage.
3. Browne, M. W., & Nesselroade, J. R. (2005). Representing psychological processes with dynamic factor models: Some promising uses and extensions of autoregressive moving average time series models. In A. Maydeu-Olivares & J. J. McArdle (Eds.), Contemporary psychometrics: A festschrift for Roderick P. McDonald (pp. 415-452). Mahwah, NJ: Lawrence Erlbaum.
4. Chaplain M. A. J., Singh G. D., McLachlan J. C. (Eds.). (1999). On growth and form: Spatio-temporal pattern formation in biology. Chichester: Wiley.
5. Crampin, E. J., Hackborn, W. W., & Maini, P. K. (2002). Pattern formation in reaction-diffusion models with nonuniform domain growth. Bulletin of Mathematical Biology, 64, 747-769.
6. Danziger, K. (1990). Constructing the subject: Historical origins of psychological research. Cambridge: Cambridge University Press.
7. Dogaru, R. (2003). Universality and emergent computation in cellular neural networks. River Edge, NJ: World Scientific.
8. Edelman, G. M. (1987). Neural Darwinism: The theory of neuronal group selection. New York: Basic Books.
9. Forni, M., & Lippi, M. (1997). Aggregation and the microfoundations of dynamic macroeconomics. Oxford: Clarendon Press.
10. Gierer, A., & Meinhardt, H. (1972). A theory of biological pattern formation. Kybernetik, 12, 30-39.
11. Gottlieb, G. (1992). Individual development and evolution: The genesis of novel behavior. New York: Oxford University Press.
12. Gottlieb, G. (2003). On making behavioral genetics truly developmental. Human Development, 46, 337-355.
13. Gottlieb, G. (in press). Developmental neurobehavioral genetics: Development as explanation. In B. C. Jones & P. Mormède (Eds.), Neurobehavioral genetics (2nd ed.). Boca Raton, FL: CRC Press.
14. Graham, J. H., Emlen, J. M., & Freeman, D. C. (2003). Nonlinear dynamics and developmental instability. In M. Polak (Ed.), Developmental instability: Causes and consequences (pp. 35-50). Oxford: Oxford University Press.
15. Grasman, R. P. P. P., Huizenga, H. M., Waldorp, L. J., Böcker, K. B. E., & Molenaar, P. C. M. (2005). Stochastic maximum likelihood mean and cross-spectrum structure modeling in neuro-magnetic source estimation. Digital Signal Processing, 15, 56-72.
16. Grindrod, P. (1991). Patterns and waves: The theory and applications of reaction-diffusion equations. Oxford: Clarendon Press.
17. Hamaker, E. L., Dolan, C. V., & Molenaar, P. C. M. (2005). Statistical modeling of the individual: Rationale and application of multivariate stationary time series analysis. Multivariate Behavioral Research, 40, 207-233.
18. Hannan, E. J. (1970). Multiple time series. New York: Wiley.
19. Hannan, M. T. (1991). Aggregation and disaggregation in the social sciences. Lexington, MA: Lexington Books.
20. Hunding, A. (1999). Turing structures of the second kind. In M. A. J. Chaplain, G. D. Singh, & J. C. McLachlan (Eds.), On growth an form: Spatio-temporal pattern formation in biology (pp. 75-88). Chichester: Wiley.
21. Jablonka, E., & Lamb, M. J. (1995). Epigenetic inheritance and evolution: The Lamarckian dimension. Oxford: Oxford University Press.
22. Jablonka, E., & Lamb, M. J. (2005). Evolution in four dimensions: Genetic, epigenetic, behavioral and symbolic variation in the history of life. Cambridge, MA: MIT Press.
23. Jones, C. R., & Nesselroade, J. R. (1990). Multivariate, replicated, single-subject designs and P-technique factor analysis: A selective review of the literature. Experimental Aging Research, 16, 171-183.
24. Keller, G. (1998). Equilibrium states in ergodic theory. New York: Cambridge University Press.
25. King, G. (1997). A solution to the ecological inference problem. Princeton, NJ: Princeton University Press.
26. Kücken, M., & Newell, A. C. (2005). Fingerprint formation. Journal of Theoretical Biology, 235, 71-83.
27. Lamiell, J. T. (2003). Beyond individual and group differences: Human individuality, scientific psychology, and William Stern's critical personalism. Thousand Oaks, CA: Sage Publications.
28. Lipniacki, T., Paszek, P., Marciniak-Czochra, A., Brasier, A. R., & Kimmel, M. (2006). Transcriptional stochasticity in gene expression. Journal of Theoretical Biology, 238, 348-367.
29. Lövdén, M., & Lindenberger, U. (2005). Development of intellectual abilities in old age - From age gradients to individuals. In O. Wilhelm & R. W. Engle (Eds.), Handbook of understanding and measuring intelligence (pp. 203-221). Thousand Oaks, CA: Sage.
30. Luce, D. R. (2000). Utility of gains and losses: Measurement-theoretical and experimental approaches. Mahwah, NJ: Lawrence Erlbaum.
31. Martin, N. G., & Eaves, L. J. (1977). The genetical analysis of covariance structures. Heredity, 38, 79-93.
32. McLachlan, J. C. (1999). Developmental morphologies not directly specified by the genome of the individual. In M. A. J. Chaplain, G. D. Singh. & J. C. McLachlan (Eds.), On growth an form: Spatio-temporal pattern formation in biology (pp. 157-172). Chichester: Wiley.
33. Meinhardt, H. (1982). Models of biological pattern formation. London: Academic Press.
34. Molenaar, P. C. M., Boomsma, D. I., & Dolan, C. V. (1993). A third source of developmental differences. Behavior Genetics, 23, 519-524.
35. Molenaar, P. C. M. (1997). Time series analysis and its relationship with longitudinal analysis. International Journal of Sports Medicine, 18, 232-237.
36. Molenaar, P. C. M. (1999). Longitudinal analysis. In H. J. Ader & G. J. Mellenbergh (Eds.), Research methodology in the social, behavioral and life sciences (pp. 143-167). London: Sage.
37. Molenaar, P. C. M., & Raijmakers, M. E. J. (1999). Additional aspects of third source variation for the genetic analysis of human development and behavior: A commentary on Eaves et al. Twin Research, 2, 49-52.
38. Molenaar, P. C. M., & Newell, K. M. (2003). Direct fit of a theoretical model of phase transition in oscillatory finger motions. British Journal of Mathematical and Statistical Psychology, 56, 199-214.
39. Molenaar, P. C. M., Huizenga, H. M., & Nesselroade, J. R. (2003). The relationship between the structure of interindividual and intraindividual variability: A theoretical and empirical vindication of Developmental Systems Theory. In U. M. Staudinger & U. Lindenberger (Eds.), Understanding human development: Dialogues with lifespan psychology (pp. 339-360). Dordrecht: Kluwer Academic Publishers.
40. Molenaar, P. C. M. (2004). A manifesto on psychology as idiographic science: Bringing the person back into scientific psychology, this time forever. Measurement, 2, 201-218.
41. Murray, J. D. (2002). Mathematical biology II (3rd ed.). New York: Springer Verlag.
42. Petersen, K. E. (1983). Ergodic theory. New York: Cambridge University Press.
43. Robert, J. S. (2004). Embryology, epigenesist, and evolution: Taking development seriously. Cambridge: Cambridge University Press.
44. Stanley H. E., & Ostrowsky N. (Eds.). (1986). On growth and form: Fractal and non-fractal patterns in physics. Boston: Martinus Nijhoff Publishers.
45. Thompson, D. W. (1917). On growth and form. Cambridge: Cambridge University Press.
46. Tinbergen, N. (1963). On the aims and methods of ethology. Zeitschrift für Tierpsychologie, 20, 410-433.
47. Turing, A. M. (1952). The chemical basis of morphogenesis. Philosophical Transactions of the Royal Society London, B237, 37-72.
48. Wohlwill, J. F. (1973). The study of behavioral development. New York: Academic Press.