Results from a comparative study of the joint distribution of surf parameter and wave period are provided. First, two transformed joint distributions of wave height and wave period are compared. One of the distributions is a parametric model originating from a best fit to relatively broad-band field data covering a wide range of wave conditions, whilst the other distribution is theoretically based. It appears that the theoretically based distribution does not represent the features of the parametric model especially well, suggesting that parametric models should be used to describe relatively broad-banded data. Then, the theoretically based joint distribution of wave height and wave period is transformed to the joint distributions of surf parameter with wave height and wave period and it is demonstrated how these distributions are affected by the spectral bandwidth. Finally, the theoretically based distribution of wave height and wave period is also transformed to the joint distribution of wave runup time and wave period due to its relation to the stability of rubble-mound breakwaters. Comparisons are made with a limited set of data representing results from small-scale laboratory experiments related to stability of rubble-mound breakwaters. The agreement between measurements and predictions of the distribution of the surf parameter is fair, whilst the agreement is poorer for the probability of resonance.

提供了对冲浪参数和波浪周期联合分布的比较研究结果。首先，比较了波高和波周期的两种变换联合分布。其中一个分布是参数模型，该模型源自对覆盖广泛波浪条件的相对宽带现场数据的最佳拟合，而另一个分布是基于理论的。似乎基于理论的分布并不能特别好地代表参数模型的特征，这表明应该使用参数模型来描述相对宽带的数据。然后，将理论基础上的波高和波周期的联合分布转换为冲浪参数与波高和波周期的联合分布，并演示了这些分布如何受光谱带宽的影响。最后，由于波高和波周期的理论分布与碎石堤防波堤的稳定性有关，也转化为波的爬升时间和波周期的联合分布。与一组有限的数据进行了比较，这些数据代表了与碎石堆防波堤稳定性相关的小规模实验室实验的结果。冲浪参数分布的测量和预测之间的一致性是公平的，而共振概率的一致性较差。由于波高和波浪周期的理论分布与碎石堤防波堤的稳定性有关，因此也转化为波浪爬升时间和波浪周期的联合分布。与一组有限的数据进行了比较，这些数据代表了与碎石堆防波堤稳定性相关的小规模实验室实验的结果。冲浪参数分布的测量和预测之间的一致性是公平的，而共振概率的一致性较差。由于波高和波浪周期的理论分布与碎石堤防波堤的稳定性有关，因此也转化为波浪爬升时间和波浪周期的联合分布。与一组有限的数据进行了比较，这些数据代表了与碎石堆防波堤稳定性相关的小规模实验室实验的结果。冲浪参数分布的测量和预测之间的一致性是公平的，而共振概率的一致性较差。与一组有限的数据进行了比较，这些数据代表了与碎石堆防波堤稳定性相关的小规模实验室实验的结果。冲浪参数分布的测量和预测之间的一致性是公平的，而共振概率的一致性较差。与一组有限的数据进行了比较，这些数据代表了与碎石堆防波堤稳定性相关的小规模实验室实验的结果。冲浪参数分布的测量和预测之间的一致性是公平的，而共振概率的一致性较差。