Behavioral Traits as Dynamical Systems: Utilizing Entropy to Analyze Longitudinal Psychometric Data in Coupled Ordinary Differential Equations

Abstract: Traits such as neuroticism persist across species despite exhibiting characteristics typically regarded as maladaptive. This project presents an alternative model for understanding the stability of such traits by integrating findings from the Swedish Adoption/Twin Study on Aging (Pedersen, 2015) (SATSA) with a system of recursive, biologically inspired ordinary differential equations (ODEs). To utilize the ODEs analytically, Shannon entropy is extracted from longitudinal Likert-scale psychometric data, enabling the translation of high-dimensional behavioral responses into continuous-time dynamical systems. The model incorporates principles from evolutionary biology, including mutation-selection balance, genetic pleiotropy and metabolic constraints, and embeds environmental feedback as a recursive driver of phenotypic expression. The argument is presented that traits such as neuroticism exist not stochastically, but as emergent multistable attractors within a biologically-constrained system. This paper shows that entropy extracted from longitudinal psychometric data can be meaningfully modeled using recursive ordinary differential equations, revealing stable dynamical attractors and biologically and environmentally grounded constraints in traits often deemed maladaptive. This framework offers a scalable, mathematically grounded foundation for analyzing phenotypic expression, with the ultimate goal of biological extension for eventual multi-omic modeling of behavioral traits.