ESD (Emergent Structure Dynamics): A Dynamic State-Space Framework for Trade Structure Analysis

ESD (Emergent Structure Dynamics) is a framework for transforming trade systems into dynamic state-space representations. Traditional trade analysis often focuses on magnitude-based indicators such as export value, growth rate, or market share. While useful, these metrics may overlook how structural relationships evolve over time. ESD describes trade systems using a state vector composed of: L1: total export scale EffN_country: effective number of export destinations EffN_HS: effective number of export products This formulation separates: economic scale market diversity product diversity and allows yearly observations to be represented as trajectories in a dynamic state space. Rather than treating trade systems as static tables, ESD interprets them as evolving structures with movement, transitions, and structural dynamics. This release applies the framework to Korea export data (UN Comtrade, 2010–2024) as a case study and demonstrates how state trajectories reveal structural concentration, diversification patterns, and hidden transitions in export systems. Future extensions include: trajectory distance (Wasserstein) density fields (KDE) energy interpretation state transition dynamics latent structural evolution