Research Idea: the comparison of two long-term variables

Following the idea of upscaling study, how do we know if the long-term estimates is good enough in the case that we do not have long-term data to compare with?

The idea of the comparison is for both of them, to create a t-distribution and compare these two t-distribution by using t-test to see if the null hypothesis will be rejected.

For the t-test, we should estimate the long-term mean along with their standard deviations, and the number of valid values. However, one difference between the regular t-test and our t-test, because the long-term estimates also accompany with their estimation variances. One possible approach is to add estimation variances on the regular variances to be the new long-term estimation variances for the t-test.

Another proposed task for the upscaling test is the evaluation of the spatial pattern of the accuracy. The presentation of the estimation errors over the space is drawn on the map.