Earth`s Cryosphere, 2018, Vol. XXII, № 4, p. 26-36

PARAMETERIZATION OF DAILY AMPLITUDES OF SURFACE AIR TEMPERATURE IN GREENLAND FOR APPLICATION IN MASS BALANCE CALCULATIONS

А.P. Nevecherja1,2, О.О. Rybak1,3

1 Institute of Numerical Mathematics, RAS, 8, Gubkina str., Moscow, 119333, Russia
2 Kuban State University, 149, Stavropolskaya str., Krasnodar, 350040, Russia; artiom1989@mail.ru
3 Sochi Research Centre, RAS, 8a, Theatralnaya str., Sochi, 354000, Russia; orybak@vub.ac.be

Mathematical modeling of melting (ablation) on the surface of the Greenland ice sheet is one of the challenging tasks of the modern glaciology. Normally, the ablation rate is evaluated by using one of the two me­thods – either by the temperature index method or by the energy balance method (or by combination of both). The pitfall of either method is realistic approximation of the daily amplitudes of surface air temperatures and of the mean square errors of surface air temperatures. In the paper, an approach is proposed for approximating the equations of both characteristics. Final approximating models allowed us to establish the dependence of surface air temperature daily amplitudes on time and on the absolute height above the sea level.

Greenland, climate, statistical methods, ice sheet, surface air temperature, ablation, mass balance

DOI: 10.21782/EC2541-9994-2018-4(26-36)