For each of ten glaciers in Norway and two in Sweden, vertical profiles of net balance bn(z), which are typically published as values at about a dozen altitudes, are strongly linear and nearly parallel from year to year. Separate linear functions fit the bn(z) from year to year with r2 ≥ 0.89 over the 12 glaciers. A family of parallel lines for each glacier that differ from year to year only by an amount Δbn constant with altitude has r2 ≥ 0.85. There is an altitude z' on each glacier where the measured balance bn(z') correlates well with the glacier-total bn with r ≥ 0.97 over the 12 glaciers. A remarkable consequence of this and of the high correlation of bn between many of the glaciers in the region is that measurements on one glacier (1775 meters on Hardangerj¿kulen) provide a good estimate of bn at several other glaciers.