Journal of Oceanology and Limnology

, Volume 37, Issue 2, pp 448–460 | Cite as

Wave height statistical characteristic analysis

  • Guilin Liu
  • Baiyu ChenEmail author
  • Liping Wang
  • Shuaifang Zhang
  • Kuangyuan Zhang
  • Xi Lei


When exploring the temporal and spatial change law of ocean environment, the most common method used is using smaller-scale observed data to derive the change law for a larger-scale system. For instance, using 30-year observation data to derive 100-year return period design wave height. Therefore, the study of inherent self-similarity in ocean hydrological elements becomes increasingly important to the study of multi-year return period design wave height derivation. In this paper, we introduced multifractal to analyze the statistical characteristics of wave height series data observed from oceanic hydrological station. An improvement is made to address the existing problems of the multifractal detrended fluctuation analysis (MF-DFA) method, where trend function showed a discontinuity between intervals. The improved MF-DFA method is based on signal mode decomposition, replacing piecewise polynomial fitting used in the original method. We applied the proposed method to the wave height data collected at Chaolian Island, Shandong, China, from 1963 to 1989 and was able to conclude the wave height sequence presented weak multi-fractality. This result provided strong support to the past research on the derivation of multi-year return period design wave height with observed data. Moreover, the new method proposed in this paper also provides a new perspective to explore the intrinsic characteristic of data.


wave height partition function multifractal spectrum multifractal detrended fluctuation analysis (MF-DFA) signal mode decomposition 


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Copyright information

© Chinese Society for Oceanology and Limnology, Science Press and Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • Guilin Liu
    • 1
  • Baiyu Chen
    • 2
    Email author
  • Liping Wang
    • 3
  • Shuaifang Zhang
    • 4
  • Kuangyuan Zhang
    • 5
  • Xi Lei
    • 3
  1. 1.College of EngineeringOcean University of ChinaQingdaoChina
  2. 2.College of EngineeringUniversity of California BerkeleyBerkeleyUSA
  3. 3.College of Mathematical ScienceOcean University of ChinaQingdaoChina
  4. 4.Department of Mechanical EngineeringUniversity of FloridaGainesvilleUSA
  5. 5.Department of EconomicsPenn State UniversityState CollegeUSA

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