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            "abstractNote": "Abstract Breaking waves play an important role in air–sea interaction, enhancing momentum flux from the atmosphere to the ocean, dissipating wave energy that is then available for turbulent mixing, injecting aerosols and sea spray into the atmosphere, and affecting air–sea gas transfer due to air entrainment. In this paper observations are presented of the occurrence of breaking waves under conditions of strong winds (10–25 m s−1) and fetch-limited seas (0–500 km) in the Gulf of Tehuantepec Experiment (GOTEX) in 2004. An airborne nadir-looking video camera, along with a global positioning system (GPS) and inertial motion unit (IMU), provided digital videos of the breaking sea surface and position in an earth frame. In particular, the authors present observations of Λ(c), which is the distribution of breaking wave crest lengths per unit sea surface area, per unit increment in velocity c or scalar speed c, first introduced by O. M. Phillips. In another paper, the authors discuss the effect of processing methodology on the resulting shape of the Λ(c) distribution. In this paper, the elemental method of measuring breaking crests is used to investigate the Λ(c) distributions under a variety of wind and wave conditions. The integral and the first two moments of the Λ(c) distributions are highly correlated with the active breaking rate and the active whitecap coverage. The computation of whitecap coverage yields a larger observational dataset from which the variability of whitecap coverage with wind speed, friction velocity, wave age, and wave slope is presented and compared to previous observations. The dependence of the active breaking rate on the spectral peak steepness is in agreement with previous studies. Dimensional analysis of Λ(c) indicates that scaling with friction velocity and gravity, as in the classical fetch relations, collapses the breaking distributions more effectively than scaling with dominant wave parameters. Significant wave breaking is observed at speeds near the spectral peak in young seas only, consistent with previous studies. The fourth and fifth moments of Λ(c) are related to the flux of momentum transferred by breaking waves to the underlying water and the rate of wave energy dissipation, respectively. The maximum in the fourth moment occurs at breaking speeds of 5–5.5 m s−1, and the maximum in the fifth moment occurs at 5.8–6.8 m s−1, apparently independent of wave age. However, when nondimensionalized by the phase speed at the peak of the local wave spectrum cp, the maxima in the nondimensionalized fourth and fifth moments show a decreasing trend with wave age, obtaining the maxima at dimensionless speeds c/cp near unity at smaller wave ages and moving to lower dimensionless speeds c/cp ≪ 1 at larger wave ages. The angular dependence of Λ(c) is predominantly unimodal and better aligned with the wind direction than the dominant wave direction. However, the directional distribution of Λ(c) is broadest for small c and often exhibits a bimodal structure for slow breaking speeds under developing seas. An asymmetry in the directional distribution is also observed for moderately developed seas. Observations are compared to the Phillips model for Λ(c) in the equilibrium range of the wave spectrum. Although the ensemble of Λ(c) distributions appears consistent with a c−6 function, the distributions are not described by a constant power-law exponent. However, the Λ(c) observations are described well by the Rayleigh distribution for slow and intermediate speeds, yet fall above the Rayleigh distribution for the fastest breaking speeds. From the Rayleigh description, it is found that the dimensionless width of the Λ(c) distribution increases weakly with dimensionless fetch, s/u*e = 1.69χ0.06, where s is the Rayleigh parameter, u*e is the effective friction velocity, and the dimensionless fetch  is a function of the fetch X and gravitational acceleration g. The nondimensionalized total length of breaking per unit sea surface area is found to decrease with dimensionless fetch for intermediate to fully developed seas, , where A is the total length of breaking crests per unit sea surface area.",
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            "note": "<p>Issues that I have with the Schwendeman manuscript:</p>\n<p>What do you think of their discussion in section 5b, where they plug your results into their results?</p>\n<p>1) Equation (1). Integrating radially should be with respect to c dc dtheta, rather than simply dc dtheta.</p>\n<p>2) Equation (7). I'm assuming that you obtain I(x,y,t), the number of breaking pixels, from your difference image.&nbsp; I'm concerned that this is dependent upon the delta-t of your difference images.&nbsp; If you double the delta-t, do you get roughly double the number of breaking pixels?</p>\n<p>This is addressed around eq. 12.</p>\n<p>3) It would be nice to supply a reference for equation 16.</p>\n<p>4) Figure 7, and text around it:&nbsp; You say that the spectrum follow \"an expected\" f^{-4} tail in the equilibrium range.&nbsp; Yet your saturation (of one-dimensional spectra) multiplies the spectra by f^5, but still shows a decrease with frequency, for fp &lt; f &lt; 5fp. Something seems inconsistent.</p>\n<p>5) Around page 14, line 311.&nbsp; You wonder where to end the integration of c^5*Lambda(c).&nbsp; Doesn't it make sense to end it at the spectral peak phase speed?&nbsp; Choosing a threshold of 5% of the peak of Lambda(c) seems needlessly arbitrary. Do you have a physical reason for including breaking waves that appear to be moving faster than the spectral peak phase speed? (You address this somewhat around line 486, consistent with my comment above.)</p>\n<p>6) Line 331.&nbsp; You assume that dE/dt = 0.&nbsp; This would not be the case if your wind speed is increasing, for example, as you state in line 273. \"ramping up of the wind over the course of that day.\"</p>\n<p>7) Lines 339-340.&nbsp; I'm concerned about your method for smoothing the spatial gradient of the wave energy spectrum: \"the gradient is calculated by regressing a line through the 340&nbsp;&nbsp;&nbsp; origin (assuming no wave energy at zero fetch) and each 500-meter bin.\"&nbsp; We would not expect the wave energy to grow linearly with fetch.</p>\n<p>8) Line 355. If you are going to use \"RTE\" as an abbreviation for \"Radiative Transfer Equation,\" then you should define this acronym on line 324.</p>\n<p>9) Figure 11. I would really love to see his plots for b-values compare to something / anything else that has been published (on the same axis).</p>\n<p>10) the argument in section 5a., paragraph 1, seems crazy (Breaking Strength and Wave Slope).&nbsp; If the mean slope, or the saturation is larger, then your larger, steeper waves will also be larger. It's silly to say that less steep waves will be breaking in a wave field.</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>",
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