Wave Height Threshold Selection Using GPD Stability Analysis
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Solution Overview
Problem
Conventional methods for selecting wave height thresholds in design wave height estimation for ocean and coastal engineering are subjective, require professional knowledge, and are influenced by human factors, leading to instability and regional limitations.
Innovation Solution
A method that objectively determines wave height thresholds by analyzing wave height samples using a Generalized Pareto Distribution and Peak Over Threshold method, calculating wave height differences to identify stable threshold intervals, and selecting reasonable thresholds for design wave height estimation across different return periods.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the conventional GPD parameter graphical method is used for threshold selection, then design wave height estimation can be performed, but the selection process is subjective and influenced by human factors
Solution Approach 1:
The patent implements an automated threshold selection method where the system itself performs the threshold determination through objective mathematical criteria (GPD parameter stability analysis, coefficient of variation calculations, and automated interval identification) rather than requiring human subjective judgment. The method automatically identifies stable threshold intervals and selects optimal thresholds based on predefined objective criteria, eliminating human influence from the decision-making process.
2Reliability
If the conventional GPD parameter graphical method is used for threshold selection, then design wave height estimation can be performed, but professional knowledge and subjective judgment are required
Solution Approach 1:
The patent replaces the manual, expertise-based graphical analysis method with an automated computational system that uses mathematical algorithms to perform threshold selection. The system automatically calculates GPD parameters, analyzes their stability through coefficient of variation, identifies stable intervals, and selects thresholds based on objective mathematical criteria, substituting human expert judgment with algorithmic processing.
3Measurement precision
If the conventional GPD parameter graphical method is used for threshold selection, then design wave height estimation can be performed, but the GPD parameters show large fluctuation and stable threshold value is not obvious
Solution Approach 1:
The patent implements a feedback mechanism where the stability of GPD parameters (shape parameter ξ and scale parameter σ) is continuously evaluated across different threshold values using coefficient of variation analysis. The system provides feedback on parameter stability to automatically identify stable threshold intervals, allowing the selection process to adapt to the actual data characteristics and select thresholds where parameters are most stable.
4Adaptability or versatility
If the conventional GPD parameter graphical method is used for threshold selection, then design wave height estimation can be performed, but the method cannot be applied regionally
Solution Approach 1:
The patent develops a universal threshold selection method based on objective mathematical criteria (GPD parameter stability analysis and coefficient of variation) that can be applied consistently across different regions and locations. The method does not rely on region-specific subjective judgment but uses standardized computational procedures that adapt to local data characteristics, making it universally applicable while maintaining reliability through objective mathematical foundations.
Data Source
AI summary
The present application relates to a method for selecting a wave height threshold, based on a target location, original wave height samples are acquired, and a wave height threshold interval are obtained; combined with wave height threshold and based on GPD and specified return period, a design wave height Hsi,j corresponding to each threshold within the wave height threshold interval is calculated according to the sample wave height values which are greater that the threshold; a difference is calculated to obtain a stable threshold interval, and a threshold within the stable threshold interval is selected as a reasonable threshold for design wave height estimation. In this method, the stability of estimated values can be determined directly and objectively to realize wave height threshold selection.