Modeling of wave heights in Balkhash Lake using the SMB parameter method

Abstract

In the fields of oceanography, meteorology and coastal engineering, wave height analysis and prediction play a key role. Understanding the statistical distributions underlying these wave heights is necessary to characterize their behavior, especially with respect to maximum and significant wave heights. This paper compares two commonly used functions, the Weibull and Rayleigh distribution functions, to fit the measured probability distribution of wave height at a given location over a specified period. Average wave height data obtained from the RADS altimetry database for the period from 2002 to 2021 was statistically analyzed for Lake Balkhash. Weibull and Rayleigh probability distribution functions are determined and their parameters are identified. The mean and maximum wave heights were estimated using both distribution functions and compared with each other.