Hydrologic Model Structural Identifiability Index via Differential Algebra Input-Output Equivalence Calculator

Quick Answer

Calculate Hydrologic Model Structural Identifiability Index via Differential Algebra Input-Output Equivalence

Calculator

Result Interpretation

Hydrologic Model Structural Identifiability Index via Differential Algebra Input-Output Equivalence Calculator computes Structural Identifiability Index in dimensionless using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

Number of State Variables = 3
Number of Parameters = 5
Jacobian Rank Deficiency = 0

Expected Result:

Structural Identifiability Index = 1

Engineering Interpretation:

Under the given input conditions, the calculated result is: Structural Identifiability Index = 1 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

structural identifiability index = 1.0 - (jacobian rank deficiency / (number of state variables * number of parameters))

Formula family: formula_hydrology_hydrologic_model_structural_identifiability_checker

Variables

Symbol	Label	Role	Description
rank_deficiency	Jacobian Rank Deficiency	INPUT	Jacobian Rank Deficiency
n_states	Number of State Variables	INPUT	Number of State Variables
n_parameters	Number of Parameters	INPUT	Number of Parameters
structural_identifiability	Structural Identifiability Index	OUTPUT	Structural Identifiability Index

Calculation Steps

Enter the jacobian rank deficiency in dimensionless.
Enter the number of state variables in dimensionless.
Enter the number of parameters in dimensionless.
Step 1: Compute structural identifiability index.
Read the structural identifiability index (dimensionless) from the results.

Engineering Summary

Calculate Hydrologic Model Structural Identifiability Index via Differential Algebra Input-Output Equivalence

Frequently Asked Questions

What does this calculator calculate?

The Hydrologic Model Structural Identifiability Index via Differential Algebra Input-Output Equivalence Calculator estimates Structural Identifiability Index based on the input parameters you provide

Why is jacobian rank deficiency important in this calculation?

jacobian rank deficiency is directly proportional to structural identifiability index. When you enter jacobian rank deficiency in dimensionless, the calculator uses it in the engineering formula to compute the output

How should I interpret the result structural identifiability index?

The calculator outputs structural identifiability 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: Jacobian Rank Deficiency (dimensionless), Number of State Variables (dimensionless), Number of Parameters (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