Flood Alert System Using High-Resolution Radar Rainfall Data: Estimation of Parameters 1 2

This methodology was applied to estimate four unknown parameters (δ1, δ2, δ3, and Φ) so as to:

Find the optimum values with a bounded constraint: first linearized the main equation;

Identify the initial point trough a nonlinear regression model where the phi Φ is temporarily ignored, and the deltas values initial are obtained by solving the linear regression; and

278Find the optimum values using a constrained nonlinear optimization technique to estimate the final parameter set for each zone (9 × 9) and every window where the phi Φ parameter is a bias correction factor introduced in the optimization.