“…respectively, where
is the root‐mean‐squared amplitude of the bed profile, λ is the wavelength (defined as the mean distance between crests), t is time and a z , b z , a λ , and b λ are fitted constants. This empirical model has since been applied to both subaqueous (Baas,
1999; Bradley & Venditti,
2019; Naqshband et al.,
2021; Venditti et al.,
2005b) and aeolian (Swanson et al.,
2017) dunes, although the precise measures of amplitude and wavelength vary (amplitude: peak‐to‐peak, root‐mean‐squared; wavelength: crest‐to‐crest, mean, or mode from spectral analysis). Recent work has further found that, for larger shear stresses, the time of applicability of this exponentially saturated model can be preceded by a transient linear stage (Bradley & Venditti,
2019).…”