Theory of Significant Wave Period Based on Spectral Integrals

On the distribution of significant wave height and associated peak periods

“…(26) to (30) show that there exist significant linear relationships (R 2 N 0.92) between the two peak wave period statistics. During winter, the deviations between T pðH 1 3 Þ and T p are significant as observed by Kitano et al (2002) as the spectral asymmetry will be remarkable. The highest and least disagreements between the computed T pðH 1 3 Þ and T p are respectively 3.0 s in winter and 1.2 s in summer.…”

“…Empirical relationship between mean period of one-third the highest wave heights T pðH 1 3 Þ and T pð 1 3 Þ is well established. The empirical ratio Ts T of 1.2 (Kitano et al, 2002) or 0.9-1.4 (Goda and Nagai, 1974;Goda, 2010) is fairly captured by both computed and estimated Landwehr et al (1979), and McMahon and Srikanthan (1982) explored the influence of serial dependence on at-site frequency analysis and observed that they caused irrelevant bias in quantile appraisals. Hosking and Wallis (1997) reasoned that a small amount of serial dependence in annual data series has little impact on the quality of quantile estimates.…”

“…Kitano et al (2002) derived a formula for significant wave period based on complex value integral of energy spectrum and depends on the spectral shape asymmetry. This work also provides a new general statistical formula for estimation of significant wave period (T s ) from time series data.…”