Gaussian decay and systematic variance in Iran’s 2026 retaliation: A comparative modeling of “Operation True Promise 4” across six theaters

This research addresses the need for nonlinear attrition modeling in high-intensity missile and drone warfare. Using real-time data from the 2026 Iranian strategic campaign against Israel and the Gulf states, we propose a novel Gaussian decay framework to differentiate between tactical suppression of mobile assets and the strategic resilience of hardened launch infrastructure. For this purpose, we utilize a three-parameter Gaussian decay model, f ( t ) = a 1 exp [ t 2 a 2 ] + a 3 implemented via nonlinear least-squares regression in MATLAB. Data were captured at a daily 16:00 Tehran baseline across six distinct geographical theaters. This methodology allows for the isolation of the “Hunter’s constant” ( a 2 ), representing the efficiency of integrated sensor-to-shooter defense grids, from the “strategic floor” ( a 3 ), representing subterranean silo capacity. The study identifies theater-wide convergent decay rate constants of a 2 = 27 ± 4 and 28 ± 4 days 2 for missiles and drones, respectively. This suggests a synchronized efficiency in coalition counter-battery operations. Significant findings include no significant divergence between missile and drone “floors.” Furthermore, the Gaussian model provides a superior predictive fit ( R 2 > 95 % ) compared with traditional linear Lanchester laws for modern asymmetric attrition. These findings suggest that strategic victory in modern missile warfare is determined by the physical depletion of the a 3 parameter rather than daily interception rates.