A dynamical systems analysis of adolescent substance abuse

Steven M. Boker, John Graham

Research output: Contribution to journalArticle

63 Citations (Scopus)

Abstract

Models from dynamical systems theory were fit to the intraindividual variability in adolescent self-reported cigarette and alcohol use. A dampened linear oscillator model (potentially like a pendulum with friction) and a nonlinear oscillator model with two attractors were compared. The nonlinear oscillator model and two coupled oscillators for cigarette and alcohol use were rejected Independent dampened linear oscillators for smoking and drinking provided high internal R2 but were unable to account for a substantial correlation between the acceleration in cigarette usage and alcohol usage; thus evidence was found for an intrinsic self-regulation mechanism in both smoking and drinking behavior, but the hypothesis was rejected that the intrinsic mechanism leading to increases in use in one substance directly predicted increased use in the other substance. Given the hypothesis of independent linear oscillators, the sign of the dampening parameter was found to be positive, indicating a system with dynamic instability; a self-regulation mechanism in which small changes in substance use lead to amplified changes after a short period of time.

Original languageEnglish (US)
Pages (from-to)479-507
Number of pages29
JournalMultivariate Behavioral Research
Volume33
Issue number4
DOIs
StatePublished - Jan 1 1998

Fingerprint

Systems Analysis
Tobacco Products
Substance-Related Disorders
Nonlinear Dynamics
Alcohol
Dynamical system
Alcohols
Smoking
Nonlinear Oscillator
Systems Theory
Drinking Behavior
Friction
Drinking
Linear Models
Coupled Oscillators
Pendulum
Period of time
Model
Attractor
Internal

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Experimental and Cognitive Psychology
  • Arts and Humanities (miscellaneous)

Cite this

Boker, Steven M. ; Graham, John. / A dynamical systems analysis of adolescent substance abuse. In: Multivariate Behavioral Research. 1998 ; Vol. 33, No. 4. pp. 479-507.
@article{1839fe55c5da4566b9f4f63579401c39,
title = "A dynamical systems analysis of adolescent substance abuse",
abstract = "Models from dynamical systems theory were fit to the intraindividual variability in adolescent self-reported cigarette and alcohol use. A dampened linear oscillator model (potentially like a pendulum with friction) and a nonlinear oscillator model with two attractors were compared. The nonlinear oscillator model and two coupled oscillators for cigarette and alcohol use were rejected Independent dampened linear oscillators for smoking and drinking provided high internal R2 but were unable to account for a substantial correlation between the acceleration in cigarette usage and alcohol usage; thus evidence was found for an intrinsic self-regulation mechanism in both smoking and drinking behavior, but the hypothesis was rejected that the intrinsic mechanism leading to increases in use in one substance directly predicted increased use in the other substance. Given the hypothesis of independent linear oscillators, the sign of the dampening parameter was found to be positive, indicating a system with dynamic instability; a self-regulation mechanism in which small changes in substance use lead to amplified changes after a short period of time.",
author = "Boker, {Steven M.} and John Graham",
year = "1998",
month = "1",
day = "1",
doi = "10.1207/s15327906mbr3304_3",
language = "English (US)",
volume = "33",
pages = "479--507",
journal = "Multivariate Behavioral Research",
issn = "0027-3171",
publisher = "Psychology Press Ltd",
number = "4",

}

A dynamical systems analysis of adolescent substance abuse. / Boker, Steven M.; Graham, John.

In: Multivariate Behavioral Research, Vol. 33, No. 4, 01.01.1998, p. 479-507.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A dynamical systems analysis of adolescent substance abuse

AU - Boker, Steven M.

AU - Graham, John

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Models from dynamical systems theory were fit to the intraindividual variability in adolescent self-reported cigarette and alcohol use. A dampened linear oscillator model (potentially like a pendulum with friction) and a nonlinear oscillator model with two attractors were compared. The nonlinear oscillator model and two coupled oscillators for cigarette and alcohol use were rejected Independent dampened linear oscillators for smoking and drinking provided high internal R2 but were unable to account for a substantial correlation between the acceleration in cigarette usage and alcohol usage; thus evidence was found for an intrinsic self-regulation mechanism in both smoking and drinking behavior, but the hypothesis was rejected that the intrinsic mechanism leading to increases in use in one substance directly predicted increased use in the other substance. Given the hypothesis of independent linear oscillators, the sign of the dampening parameter was found to be positive, indicating a system with dynamic instability; a self-regulation mechanism in which small changes in substance use lead to amplified changes after a short period of time.

AB - Models from dynamical systems theory were fit to the intraindividual variability in adolescent self-reported cigarette and alcohol use. A dampened linear oscillator model (potentially like a pendulum with friction) and a nonlinear oscillator model with two attractors were compared. The nonlinear oscillator model and two coupled oscillators for cigarette and alcohol use were rejected Independent dampened linear oscillators for smoking and drinking provided high internal R2 but were unable to account for a substantial correlation between the acceleration in cigarette usage and alcohol usage; thus evidence was found for an intrinsic self-regulation mechanism in both smoking and drinking behavior, but the hypothesis was rejected that the intrinsic mechanism leading to increases in use in one substance directly predicted increased use in the other substance. Given the hypothesis of independent linear oscillators, the sign of the dampening parameter was found to be positive, indicating a system with dynamic instability; a self-regulation mechanism in which small changes in substance use lead to amplified changes after a short period of time.

UR - http://www.scopus.com/inward/record.url?scp=0032219073&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032219073&partnerID=8YFLogxK

U2 - 10.1207/s15327906mbr3304_3

DO - 10.1207/s15327906mbr3304_3

M3 - Article

AN - SCOPUS:0032219073

VL - 33

SP - 479

EP - 507

JO - Multivariate Behavioral Research

JF - Multivariate Behavioral Research

SN - 0027-3171

IS - 4

ER -