Cultural diffusion dynamics depend on behavioural production rules
Culture is an outcome of the acquisition of knowledge about behaviour through social transmission, and its subsequent production. Transmission and production are often discussed interchangeably or modeled separately, yet to date, no study has accounted for both processes and explored their interaction. We present a generative model that integrates the two in order to explore how variation in either might shape cultural diffusion dynamics. Agents make behavioural choices that change as they learn from their behavioural productions. Their repertoires also change over time, and the social transmission of behaviours depends on their frequency. We diffuse a novel behaviour through social networks across a large parameter space to demonstrate how accounting for both transmission and production reveals dependencies between individual-level behavioural production rules and population-level diffusion dynamics. We then investigate how such dependencies might affect the performance of two commonly used inferential models for social learning; Network-based Diffusion Analysis (NBDA), and Experienced Weighted Attraction models (EWA). By clarifying the distinction between acquisition and usage, we illuminate often-overlooked theoretical differences between social learning and social influence. These distinctions yield consequences and new considerations for how inferential methods are applied to empirical studies of culture.