1. A scale-dependent model to represent changing aerodynamic roughness of ablating glacier ice based on repeat topographic surveys
- Author
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Jonathan L. Carrivick, Jordan Mertes, Duncan J. Quincey, Lindsey Nicholson, Mark W. Smith, Thomas W. Smith, Rudolf Sailer, Ivana Stiperski, and Joshua R. Chambers
- Subjects
geography ,geography.geographical_feature_category ,010504 meteorology & atmospheric sciences ,Scale (ratio) ,Glacier ,010502 geochemistry & geophysics ,Atmospheric sciences ,01 natural sciences ,Photogrammetry ,Snowmelt ,Surface roughness ,Structure from motion ,Spatial variability ,Geology ,Order of magnitude ,0105 earth and related environmental sciences ,Earth-Surface Processes - Abstract
Turbulent fluxes make a substantial and growing contribution to the energy balance of ice surfaces globally, but are poorly constrained owing to challenges in estimating the aerodynamic roughness length (z0). Here, we used structure from motion (SfM) photogrammetry and terrestrial laser scanning (TLS) surveys to make plot-scale 2-D and 3-D microtopographic estimations ofz0and upscale these to mapz0across an ablating mountain glacier. At plot scales, we found spatial variability inz0estimates of over two orders of magnitude with unpredictablez0trajectories, even when classified into ice surface types. TLS-derived surface roughness exhibited strong relationships with plot-scale SfMz0estimates. At the glacier scale, a consistent increase inz0of ~0.1 mm d−1was observed. Space-for-time substitution based on time since surface ice was exposed by snow melt confirmed this gradual increase inz0over 60 d. These measurements permit us to propose a scale-dependent temporalz0evolution model where unpredictable variability at the plot scale gives way to more predictable changes ofz0at the glacier scale. This model provides a critical step towards deriving spatially and temporally distributed representations ofz0that are currently lacking in the parameterisation of distributed glacier surface energy balance models.
- Published
- 2020