Using Fishery Models to Examine Self- and Co-Regulation Processes Across Multiple Timescales

Lizbeth Benson, Nilam Ram, Cynthia A. Stifter

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


Differential equation models have intuitively meaningful parameters that can be mapped to developmental theories emphasizing nonlinear multiple timescale processes. Following this tradition, we map theoretical propositions of infant-parent self-/co-regulation to intrinsic and extrinsic dynamics captured by fishery models wherein fish’s reproduction and farmers’ harvesting contribute to population size. Integrated and estimated within a multilevel growth modeling framework, the model captures distinct components of self-/co-regulation and changes with age. We use simulations to examine viability of the model’s application to real-world data and illustrate the model’s utility using exemplar data drawn from a multiple timescale study of infant distress and mother soothing behaviors (N = 144 dyads) as the infant received routine immunizations at ages 2 and 6 months. Results highlight the benefits of articulating theoretical propositions within a differential equations framework, and using multiple timescale study designs with natural or experimentally induced perturbations in the study of self-/co-regulation and its development.

Original languageEnglish (US)
Pages (from-to)906-923
Number of pages18
JournalStructural Equation Modeling
Issue number6
StatePublished - Nov 2 2018

All Science Journal Classification (ASJC) codes

  • General Decision Sciences
  • General Economics, Econometrics and Finance
  • Sociology and Political Science
  • Modeling and Simulation


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