  Raw moments are used as a way to estimate species abundance distribution. The
almost linear pattern of the log transformation of raw moments across scales
allow us to extrapolate species abundance distribution for larger areas.
However, results may produce errors. Some of these errors are due to
computational complexity, fittings of patterns, binning methods, and so on. We
provide some methods to reduce some of the errors. The main result is
introducing new techniques for evaluating a more accurate species abundance
distributions across scales through moments across scales.
