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1 March 2016 Wave Height Distributions in the Surf Zone on Natural Beaches
Hannah E. Power, Peter Nielsen, Michael G. Hughes, Troels Aagaard, Tom E. Baldock
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Abstract

Power, H.E.; Nielsen, P.; Hughes, M.G.; Aagaard, T., and Baldock, T.E., 2016. Wave height distributions in the surf zone on natural beaches. In: Vila-Concejo, A.; Bruce, E.; Kennedy, D.M., and McCarroll, R.J. (eds.), Proceedings of the 14th International Coastal Symposium (Sydney, Australia). Journal of Coastal Research, Special Issue, No. 75, pp. 917–921. Coconut Creek (Florida), ISSN 0749-0208.

Wave height distributions in the surf zone are examined using a large existing field dataset. Observed distributions are compared to the Rayleigh distribution, the Weibull distribution, and the normal distribution. In more than half the 15-minute data runs (57%), wave height distributions were statistically significantly different to a Rayleigh distribution, of which the majority were more narrowly distributed, with fewer extrema. In contrast, only 6% of distributions were statistically significantly different to a normal distribution. The distributions were observed to become narrower with decreasing depth. Data were subsequently fitted to a Weibull distribution with a varying exponent to allow for a change in the shape of the distribution with changing depth. The data show distributions with a wide range of exponents, but a mean of 2.4 indicating that, on average, data are more narrowly distributed than a Rayleigh distribution (exponent of 2). The value of the exponent was observed to increase in shallower water, with a strong inverse correlation between depth and the exponent.

©Coastal Education and Research Foundation, Inc. 2016
Hannah E. Power, Peter Nielsen, Michael G. Hughes, Troels Aagaard, and Tom E. Baldock "Wave Height Distributions in the Surf Zone on Natural Beaches," Journal of Coastal Research 75(sp1), 917-921, (1 March 2016). https://doi.org/10.2112/SI75-184.1
Received: 15 October 2015; Accepted: 15 January 2016; Published: 1 March 2016
KEYWORDS
field data
Rayleigh distribution
surf zone
wave breaking
wave height distribution
Weibull distribution
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