352
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Adaptive Equilibrium Regulation: Modeling Individual Dynamics on Multiple Timescales

References

  • Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19(6), 716–723. doi:10.1109/TAC.1974.1100705
  • Barton, S. (1994). Chaos, self-organization, and psychology. American Psychologist, 49(1), 5–14. doi:10.1037/0003-066X.49.1.5
  • Boker, S., Deboeck, P. R., Schiller, C. E., & Keel, P. K. (2010). Generalized local linear approximation of derivatives from time series. In Statistical methods for modeling human dynamics: An interdisciplinary dialogue. New York: Routledge.
  • Boker, S., Neale, M., & Klump, K. (2014). A differential equations model for the ovarian hormone cycle. In Handbook of developmental systems theory and methodology. New York: Guilford Publications.
  • Boker, S., Neale, M., & Rausch, J. (2004). Latent differential equation modeling with multivariate multi-occasion indicators. In K. van Montfort, J. Oud, & A. Satorra (Eds.), Recent developments on structural equation models: Theory and applications (pp. 151–174). Dordrecht: Springer.
  • Boker, S. M. (2002). Consequences of continuity: The hunt for intrinsic properties within parameters of dynamics in psychological processes. Multivariate Behavioral Research, 37(3), 405–422. doi:10.1207/S15327906MBR3703_5
  • Boker, S. M. (2015). Adaptive equilibrium regulation: A balancing act in two timescales. Journal for Person-Oriented Research, 1(1–2), 99–109. doi:10.17505/jpor.2015.10
  • Boker, S. M., & Graham, J. (1998). A dynamical systems analysis of adolescent substance abuse. Multivariate Behavioral Research, 33(4), 479–507. doi:10.1207/s15327906mbr3304_3
  • Boker, S. M. (2012). Dynamical systems and differential equation models of change. In H. Cooper, A. Panter, P. Camic, R. Gonzalez, D. Long, & K. Sher (Eds.), APA Handbook of Research Methods in Psychology (pp. 323–333). Washington, DC: American Psychological Association.
  • Bollen, K. (1989). Structural equations with latent variables. New York, Ny: Wiley. doi:10.9781118619179.
  • Chow, S.-M., Ram, N., Boker, S. M., Fujita, F., & Clore, G. (2005). Emotion as a thermostat: Representing emotion regulation using a damped oscillator model. Emotion, 5(2), 208–225. doi:10.1037/1528-3542.5.2.208
  • Deboeck, P. R., & Boker, S. M. (2010). Modeling noisy data with differential equations using observed and expected matrices. Psychometrika, 75(3), 420–437. doi:10.1007/s11336-010-9168-2
  • Deboeck, P. R., & Boker, S. M. (2010). Statistical methods for modeling human dynamics: An interdisciplinary dialogue. New York: Routledge.
  • Diener, E., Larsen, R. J., Levine, S., & Emmons, R. A. (1985). Intensity and frequency: Dimensions underlying positive and negative affect. Journal of Personality and Social Psychology, 48(5), 1253–1265. doi:10.1037/0022-3514.48.5.1253
  • Ebner-Priemer, U. W., Houben, M., Santangelo, P., Kleindienst, N., Tuerlinckx, F., Oravecz, Z., … Kuppens, P. (2015). Unraveling affective dysregulation in borderline personality disorder: A theoretical model and empirical evidence. Journal of Abnormal Psychology, 124(1), 186–198. doi:10.1037/abn0000021
  • Hindmarsh, J. L., & Rose, R. (1984). A model of neuronal bursting using three coupled first order differential equations. Proceedings of the Royal Society of London B: Biological Sciences, 221(1222), 87–102. doi:10.1098/rspb.1984.0024
  • Hu, Y., Boker, S., Neale, M., & Klump, K. L. (2014). Coupled latent differential equation with moderators: Simulation and application. Psychological Methods, 19(1), 56–71. doi:10.1037/a0032476
  • Ih, C., Tiao, G. C., & Chen, C. (1988). Estimation of time series parameters in the presence of outliers. Technometrics, 30(2), 193–204. doi:10.1080/00401706.1988.10488367
  • McArdle, J. J., & McDonald, R. P. (1984). Some algebraic properties of the reticular action model for moment structures. British Journal of Mathematical and Statistical Psychology, 37(2), 234–251. doi:10.1111/bmsp.1984.37.issue-2
  • Moskowitz, D., & Zuroff, D. C. (2004). Flux, pulse, and spin: Dynamic additions to the personality lexicon. Journal of Personality and Social Psychology, 86(6), 880–893. doi:10.1037/0022-3514.86.6.880
  • Neale, M. C., Hunter, M. D., Pritikin, J. N., Zahery, M., Brick, T. R., Kirkpatrick, R. M., … Boker, S. M. (2016). OpenMx 2.0: Extended structural equation and statistical modeling. Psychometrika, 81(2), 535–549. doi:10.1007/s11336-014-9435-8
  • Oie, K. S., Kiemel, T., & Jeka, J. J. (2002). Multisensory fusion: Simultaneous re-weighting of vision and touch for the control of human posture. Cognitive Brain Research, 14(1), 164–176. doi:10.1016/S0926-6410(02)00071-X
  • Oravecz, Z., Tuerlinckx, F., & Vandekerckhove, J. (2011). A hierarchical latent stochastic differential equation model for affective dynamics. Psychological Methods, 16(4), 468–490. doi:10.1037/a0024375
  • Philip, E., Murray, W., Saunders, M. A., & Wright, M. H. (2001). User’s guide for NPSOL 5.0: A Fortran package for nonlinear programming. Technical report, Technical report SOL 866.
  • R Core Team. (2017). R: A language and environment for statistical computing. In R Foundation for Statistical Computing. Vienna, Austria.
  • Rosenthal, N. E., Sack, D. A., Gillin, J. C., Lewy, A. J., Goodwin, F. K., Davenport, Y., … Wehr, T. A. (1984). Seasonal affective disorder: A description of the syndrome and preliminary findings with light therapy. Archives of General Psychiatry, 41(1), 72–80. doi:10.1001/archpsyc.1984.01790120076010
  • Smith, P. L. (2000). Stochastic dynamic models of response time and accuracy: A foundational primer. Journal of Mathematical Psychology, 44(3), 408–463. doi:10.1006/jmps.1999.1260
  • Soetaert, K., Petzoldt, T., & Setzer, R. W. (2010). Solving differential equations in R: Package deSolve. Journal of Statistical Software, 33(9), 1–25.
  • Storace, M., & De Feo, O. (2004). Piecewise-linear approximation of nonlinear dynamical systems. IEEE Transactions on Circuits and Systems I: Regular Papers, 51(4), 830–842. doi:10.1109/TCSI.2004.823664
  • Tiberio, S. S. (2008). The effects of misspecified measurement intervals in Multivariate Latent Differential Equation models. University of Notre Dame.
  • Tuma, N. B., & Hannan, M. T. (1984). Social dynamics: Models and methods. Orlando, FL: Academic Press.
  • Von Oertzen, T., & Boker, S. M. (2010). Time delay embedding increases estimation precision of models of intraindividual variability. Psychometrika, 75(1), 158–175. doi:10.1007/s11336-009-9137-9
  • Wei, W. W. (2006). Time series analysis: Univariate and multivariate methods. Boston, MA: Pearson Addison Wesley.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.