Problems with the shoreline development index - a widely used metric of
lake shape
Abstract
The shoreline development index – the ratio of a lake’s shore length to
the circumference of a circle with the lake’s area – is a core metric
of lake morphometry used in Earth and planetary sciences. In this paper,
we demonstrate that the shoreline development index is scale-dependent
and cannot be used to compare lakes with different areas. We show that
large lakes will have higher shoreline development index measurements
than smaller lakes of the same characteristic shape, even when mapped at
the same scale. Specifically, the shoreline development index increases
by about 14% for each doubling of lake area. These results call into
question previously reported patterns of lake shape. We provide several
suggestions to improve the application of this index, including a
bias-corrected formulation for comparing lakes with different surface
areas.