The evolution of scaling laws in the sea ice floe size distribution
The evolution of scaling laws in the sea ice floe size distribution
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DOI:
10.1002/2016jc012573
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发表时间:
2017-09-01
影响因子:
3.6
通讯作者:
Tziperman, Eli
中科院分区:
文献类型:
--
作者:
Horvat, Christopher;Tziperman, Eli
The sub-gridscale floe size and thickness distribution (FSTD) is an emerging climate variable, playing a leading-order role in the coupling between sea ice, the ocean, and the atmosphere. The FSTD, however, is difficult to measure given the vast range of horizontal scales of individual floes, leading to the common use of power-law scaling to describe it. The evolution of a coupled mixed-layer-FSTD model of a typical marginal ice zone is explicitly simulated here, to develop a deeper understanding of how processes active at the floe scale may or may not lead to scaling laws in the floe size distribution. The time evolution of mean quantities obtained from the FSTD (sea ice concentration, mean thickness, volume) is complex even in simple scenarios, suggesting that these quantities, which affect climate feedbacks, should be carefully calculated in climate models. The emergence of FSTDs with multiple separate power-law regimes, as seen in observations, is found to be due to the combination of multiple scale-selective processes. Limitations in assuming a power-law FSTD are carefully analyzed, applying methods used in observations to FSTD model output. Two important sources of error are identified that may lead to model biases: one when observing an insufficiently small range of floe sizes, and one from the fact that floe-scale processes often do not produce power-law behavior. These two sources of error may easily lead to biases in mean quantities derived from the FSTD of greater than 100%, and therefore biases in modeled sea ice evolution.Plain Language Summary Sea ice is an incredibly complex mosaic of individual pieces, known as floes, with sizes that range from centimeters to tens of kilometers. The precise distribution of these floes is an important factor in climate simulation, as it affects how the ice, ocean, and the atmosphere evolve together. Observing the full range of floe sizes is a serious technical challenge, and sea ice has long been assumed to have a fractal distribution of floe sizes, one that can be described by a power law. We address whether this assumption is sensible by explicitly simulating how floes respond to climate forcing, leading to floes that melt, collide, and fracture. We find that the distribution of floe sizes is often not a power law, and errors caused by assuming this sort of power law behavior can lead to significant errors in how sea ice is simulated. In some cases, power-law behavior is observed, like in long simulations when waves break ice floes that are colliding with one another. We highlight the need to observe and understand this incredibly rich and complex system in greater detail before making assumptions that will be incorporated into new climate models.