1. What is Order Number of Discharge?

The Order Number of Discharge (m) represents the class value or position in a ranked series of flow magnitudes, calculated based on the percentage probability of a flow magnitude being equaled or exceeded.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( m \) — Order Number of Discharge or Class Value
• \( P_p \) — Percentage Probability of the flow magnitude being equaled or exceeded
• \( N \) — Number of Data Points used in the listing

Explanation: This formula calculates the position in a ranked series where a flow magnitude with a given percentage probability would occur.

3. Importance of Order Number Calculation

Details: Calculating the order number of discharge is crucial for hydrological analysis, flood frequency studies, and water resource management to understand flow magnitude probabilities in river systems.

4. Using the Calculator

Tips: Enter the percentage probability (0-100%) and the number of data points (must be a positive integer). The calculator will compute the order number of discharge.

5. Frequently Asked Questions (FAQ)

Q1: What does the order number represent?
A: The order number represents the position in a ranked series of flow magnitudes from highest to lowest.

Q2: How is percentage probability defined?
A: Percentage probability indicates the likelihood that a given flow magnitude will be equaled or exceeded in any given year.

Q3: What is the significance of (N+1) in the formula?
A: The (N+1) term is used to provide better statistical properties and avoid boundary issues in probability estimation.

Q4: Can this formula be used for other hydrological parameters?
A: While primarily used for flow magnitudes, the formula can be adapted for other hydrological variables that follow similar probability distributions.

Q5: What are typical applications of this calculation?
A: This calculation is used in flood frequency analysis, reservoir design, irrigation planning, and environmental flow assessments.