Table 3.

Coefficient of determination ( $R^2$) values and uncertainty estimates for the estimated inflow profiles and corresponding area and pressure predictions computed using either a linear Kelvin or nonlinear sigmoid wall model on synthetic data generated using the different wall models (Kelvin or sigmoid). $R^2$ values are computed using formula (B1) between the mean estimated and true inflow profiles, as well as between the corresponding model output predictions and synthetic data for area and pressure. Uncertainty is represented as the area between the $\pm 2$ standard deviation uncertainty bounds on the mean estimated inflow and corresponding model predictions for area and pressure. $R^2$ values and uncertainty estimates are reported up to four decimal places.

		Kelvin data		Sigmoid data
Wall model		Kelvin	Sigmoid	Kelvin	Sigmoid
${\mathit{R}}^2$ Value	Inflow	0.9875	0.9724	0.9350	0.9886
	Area	0.9970	0.8879	0.8842	0.9940
Pressure	0.9976	0.9459	0.9412	0.9945
Uncertainty	Inflow	8.7968	11.3713	9.1448	11.0369
	Area	0.1111	0.2243	0.1083	0.2375
Pressure	6.1033	13.3458	6.3483	11.9964