Abstract:To address the challenges of identifying the center of gravity, determining distribution directions, and assessing control areas in wargaming simulations caused by the surge in battlefield entities, this study proposes a spatial analysis method based on weighted standard deviational ellipses (SDE), which quantifies dynamic troop characteristics through covariance matrix eigenvalue decomposition. Research findings demonstrate that: The SDE center precisely characterizes the situational center of gravity of troops and their movement patterns, with changes in inter-center distance between opposing forces showing significant correlations with engagement intensity; the semi-major/minor axes and ellipticity of the ellipse reveal troop distribution patterns, where lower ellipticity indicates stronger directional troop distribution, while near-circular ellipticity reflects uniform spatial dispersion; the orientation of the ellipse’s major axis is positively correlated with troop movement directions, effectively indicating tactical deployment trends; dynamic changes in ellipse area exclude interference from outlier entities such as forward reconnaissance units or rear guards, objectively characterizing the evolution of core control areas. By integrating multi-dimensional information encompassing spatial distribution, directional features, and control scope through geometric parameters, this method establishes an interference-resistant and interpretable situational assessment framework for wargaming simulations, offering practical value for enhancing the scientific rigor and timeliness of battlefield decision-making.