Modeling Outcomes of Partner Violence Using Cusp Catastrophe Modeling

Area of Science:

• Psychology
• Sociology
• Complex Systems Science

Background:

• Intimate partner violence (IPV) is recognized as a complex, nonlinear phenomenon.
• Processes such as decision-making, help-seeking, and leaving abusive relationships also exhibit nonlinear dynamics.
• Previous research has not fully explored the application of catastrophe theory to model IPV outcomes.

Purpose of the Study:

• To investigate whether cusp catastrophe modeling could effectively represent outcomes in intimate partner violence.
• To determine if measures of violence nonlinearity and wife-perpetrated violence could serve as bifurcation variables in these models.
• To analyze the relationship between nonlinear violence dynamics and various psychological and functional outcomes for women in abusive relationships.

Main Methods:

• A 12-week time series study involving 200 adult women in violent relationships.
• Daily assessments of the household environment and marital relationship using Interactive Verbal Response.
• Nonlinearity measures (LZ complexity, approximate entropy, largest Lyapunov exponents) and asymmetry variables (violence frequency, severity, onset, duration) were employed. Missing data was imputed using TISEAN software.

Main Results:

• Cusp catastrophe modeling successfully explained positive and negative coping, as well as readiness-for-change, when wife's violence severity and husband's violence nonlinearity were used as bifurcation variables.
• Measures of husband's violence nonlinearity and wife's violence contributed significantly to the variance of three key outcomes within the cusp catastrophe model.
• The study identified sudden changes in coping and readiness-for-change as expected phenomena in IPV.

Conclusions:

• Nonlinearity in intimate partner violence dynamics is a critical factor influencing psychological and behavioral outcomes.
• The findings suggest that sudden, unpredictable shifts in coping and readiness-for-change are characteristic of IPV.
• Understanding violence nonlinearity offers potential applications for therapeutic interventions and working with couples experiencing IPV.