Insights on Calving Processes from Fragmentation Theory Applied to
Iceberg Size Distributions
Abstract
Changes in glacier terminus position have been implicated as one of the
primary drivers of the rapid changes in glacier dynamics observed across
the globe in the last two decades. Iceberg calving exerts a critical
control on the terminus position of the vast majority of
marine-terminating glaciers, yet calving is relatively poorly understood
due to the inherent difficulties in collecting observations of a
stochastic process in a dangerous setting. Time-lapse camera and
satellite observations suggest that the style of iceberg calving can
vary tremendously in both space and time depending on the physical
properties of the terminus, ranging from the detachment of giant tabular
icebergs every few decades from Antarctic’s floating ice shelves to the
growlers produced nearly daily from serac topples along Alaska’s coast.
Here we extract quantitative metrics on the relative importance of
calving driven by branching and uncorrelated fractures through
application of fragmentation theory to iceberg size distributions
extracted from high-resolution digital elevation models for 17 fjords
around Greenland. We find that iceberg size distributions typically
deviate from the widely-assumed power-law form for icebergs with surface
areas >0.05 km^2, with fewer icebergs than predicted by
the power-law for larger sizes. Icebergs larger than
~0.1 km^2 primarily calve as the result of
full-thickness penetration of uncorrelated fractures (i.e., as tabular
icebergs). Although the dataset is temporally sparse for the majority of
the study sites, the data suggest that iceberg formation via branching
fractures reaches a seasonal peak in summer, when icebergs up to
~0.1 km^2 follow power-law distributions. These data
provide a novel means to assess the accuracy of iceberg calving models
and potentially to constrain the physical characteristics of termini
susceptible to the marine ice cliff instability mechanism.