“…The features of extreme waves in a varying water region are in principle complex as they are altered by a number of physical parameters such as the non-dimensional wave depth kh; the "mildness" of the depth variation relative to the change of wavelength; Ursell number, which measures the degree of the wave nonlinearity relative to a local water depth; directional spreading; the profile shape of a varying bathymetry; and the difference and ratio of water depths (Sergeeva et al, 2011;Zeng and Trulsen, 2012;Viotti and Dias, 2014;Ducrozet and Gouin, 2017;Kashima and Mori, 2019;Zheng et al, 2020;Kimmoun et al, 2021;Li et al, 2021a,b,c;Lawrence et al, 2022). The location where the largest probability of extreme waves atop a varying bathymetry may occur has also been found to coincide with the one where the monochromatic surface waves start to break as the waves steepen (Draycott et al, 2022). Different from the aforementioned findings, the local peak of kurtosis and skewness near the top of a mildly shoaling slope was not reported in Zeng and Trulsen (2012) using numerical simulations, confirmed by Lawrence et al (2021).…”