## Abstract We show (under some hypothesis in small dimensions) that the analytic degree of the divisor of a modular form on the orthogonal group O(2, __p__) is determined by its weight. Moreover, we prove that certain integrals, occurring in Arakelov intersection theory, associated with modular fo
The application of depletion curves for parameterization of subgrid variability of snow
โ Scribed by Charles H. Luce; David G. Tarboton
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 361 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0885-6087
- DOI
- 10.1002/hyp.1420
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โฆ Synopsis
Abstract
Parameterization of subgridโscale variability in snow accumulation and melt is important for improvements in distributed snowmelt modelling. We have taken the approach of using depletion curves that relate fractional snowโcovered area to elementโaverage snow water equivalent to parameterize the effect of snowpack heterogeneity within a physically based mass and energy balance snowpack model. Comparisons of parameterization outputs with distributed model outputs and observations show performance comparable to the distributed model and reasonable performance relative to observations for time series modelling of snow water equivalent and snowโcovered area. Examination of the relationship between the shapes of the depletion curves and parametric distributions shows that the shapes of dimensionless depletion curves depend primarily on the coefficient of variation and to a lesser extent on the shape of the snow distribution function. The methods presented here are a generalization of several previously used methods to estimate depletion curve shapes. Comparison of several years of observed depletion curves from the study basin show that the shapes of the depletion curves change little from year to year. Copyright ยฉ 2004 John Wiley & Sons, Ltd.
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