Hydrology Engineering

Sobol First-Order Sensitivity Index for Hydrologic Model Parameters Calculator

Sobol First-Order Sensitivity Index for Hydrologic Model Parameters engineering calculator.

Quick Answer

Calculate Sobol First-Order Sensitivity Index for Hydrologic Model Parameters

Calculator

Sobol First-Order Sensitivity Index (dimensionless)
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Result Interpretation

Sobol First-Order Sensitivity Index for Hydrologic Model Parameters Calculator computes Sobol First-Order Sensitivity Index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Total Output Variance = 2
  • Unit Conversion Factor = 1
  • Conditional Output Variance Given Parameter i = 0.5

Expected Result:

  • Sobol First-Order Sensitivity Index = 0.75

Engineering Interpretation:

Under the given input conditions, the calculated result is: Sobol First-Order Sensitivity Index = 0.75 dimensionless.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

sobol first-order sensitivity index = (total output variance - conditional output variance given parameter i) / total output variance

Formula family: formula_hydrology_hydrologic_model_parameter_sensitivity_ranker_sobol_global_sensitivity_analysis

Variables

SymbolLabelRoleDescription
variance_y Total Output Variance INPUT Total Output Variance
variance_y_conditional_i Conditional Output Variance Given Parameter i INPUT Conditional Output Variance Given Parameter i
unit_conversion_factor Unit Conversion Factor INPUT Unit Conversion Factor
parameter_sensitivity_index Sobol First-Order Sensitivity Index OUTPUT Sobol First-Order Sensitivity Index

Calculation Steps

  1. Enter the total output variance in m6.s-2.
  2. Enter the conditional output variance given parameter i in m6.s-2.
  3. Enter the unit conversion factor in dimensionless.
  4. Step 1: Compute sobol first-order sensitivity index.
  5. Read the sobol first-order sensitivity index (dimensionless) from the results.

Engineering Summary

Calculate Sobol First-Order Sensitivity Index for Hydrologic Model Parameters

Frequently Asked Questions

What does this calculator calculate?

The Sobol First-Order Sensitivity Index for Hydrologic Model Parameters Calculator estimates Sobol First-Order Sensitivity Index based on the input parameters you provide

Why is total output variance important in this calculation?

total output variance is inversely proportional to sobol first-order sensitivity index. When you enter total output variance in m6.s-2, the calculator uses it in the engineering formula to compute the output

How should I interpret the result sobol first-order sensitivity index?

The calculator outputs sobol first-order sensitivity index in dimensionless. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Total Output Variance (m6.s-2), Conditional Output Variance Given Parameter i (m6.s-2), Unit Conversion Factor (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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