How to fit dynamics models to remote-sensed Arctic sea-ice fields

Lead in the Arctic sea-ice is a discontinuity, along which the Arctic sea-ice slips. The lead does not remain stationery but appears at a certain frequency and disappears after the slip. The iteration of this process is called "shuffle". We have derived a conclusion from our two dimensional ice-field model that the variance of sea-ice location grows exponentially with the magnitude and frequency in ice-field slip. In the continuum model more widely used in climatic variability research, the macroscopic velocity in ice field deformation is correlated with internal stress by "the constitution law". This paper proposes two methods to correlate phenomena observed in the ice field with continuum model. One considers only the ice displacement rate on numerical grids regardless of any discontinuity in each cell of the model. Another considers a lowpass-filterlike process, e.g. averaging in a numerical cell. The former model is suitable for eternal sea-ice zone, while the latter for seasonal sea-ice zone, i.e. marginal sea-ice zone.