Plot of link distances (red and blue circles), power-law fit for the range 100 km–2,500 km (dashed black line) and KDE of the distribution of all possible great-circle distances (solid black line) for EREs above the 95th percentile, derived from the GPCP instead of the TRMM dataset. The vertical line at d = 2,500 km marks the regime shift from regional weather systems to large-scale teleconnections. We note that in contrast to the TRMM data, the GPCP data extend to latitudes λ beyond 50°. The spatial distance that corresponds to a resolution of 1° scales with (111 km) × cos(λ), and therefore the distance distribution includes distances below 100 km. The part of the distribution that is relevant for comparison with that obtained from the TRMM data (Fig. 2) is for distances above 100 km. For smaller distances, a bias exists owing to the very small distances between grid cells near the poles.