Abstract

Sea ice is composed of discrete units called floes. The size of these floes can determine the nature and magnitude of interactions between the sea ice, ocean, and atmosphere including lateral melt rate, momentum and heat exchange, and surface moisture flux. Large-scale geophysical sea ice models employ a continuum approach and traditionally either assume floes adopt a constant size or do not include an explicit treatment of floe size. Observations show that floes can adopt a range of sizes spanning orders of magnitude, from metres to tens of kilometres. In this study we apply novel observations to analyse two alternative approaches to modelling a floe size distribution (FSD) within the state-of-the-art CICE sea ice model. The first model considered, the WIPoFSD (Waves-in-Ice module and Power law Floe Size Distribution) model, assumes floe size follows a power law with a constant exponent. The second is a prognostic floe size-thickness distribution where the shape of the distribution is an emergent feature of the model and is not assumed a priori. We demonstrate that a parameterisation of in-plane brittle fracture processes should be included in the prognostic model. While neither FSD model results in a significant improvement in the ability of CICE to simulate pan-Arctic metrics in a stand-alone sea ice configuration, larger impacts can be seen over regional scales in sea ice concentration and thickness. We find that the prognostic model particularly enhances sea ice melt in the early melt season, whereas for the WIPoFSD model this melt increase occurs primarily during the late melt season. We then show that these differences between the two FSD models can be explained by considering the effective floe size, a metric used to characterise a given FSD. Finally, we discuss the advantages and disadvantages to these different approaches to modelling the FSD. We note that the WIPoFSD model is less computationally expensive than the prognostic model and produces a better fit to novel FSD observations derived from 2-m resolution MEDEA imagery but is unable to represent potentially important features of annual FSD evolution seen with the prognostic model.

Highlights

  • In this study we will consider the WIPoFSD model (Waves-in-Ice module and Power law Floe Size Distribution model) of Bateson et al (2020) and the prognostic floe size-thickness probability distribution (FSTD) (Floe-Size-Thickness distribution model) of Roach et al (2018, 2019)

  • This behaviour is not possible with the WIPoFSD model since it has a fixed exponent and minimum floe size. These results show the value of leff in being able to characterise and understand how the inclusion of either floe size distribution (FSD) model impacts the sea ice cover and in understanding how differences in these impacts emerge. These results show the potential limitations of using a simplified FSD model such as the WIPoFSD model; even though 40 a power law might in general be a good fit to the FSD over the melt season, there could still be important mechanisms and features of FSD impacts that it fails to properly capture

  • 20 We have compared two alternative methods to model the sea ice floe size distribution: a prognostic model where the shape of the FSD emerges from the model physics (Roach et al, 2018, 2019), and the WIPoFSD model where the shape of the FSD is constrained to a power law with a fixed exponent (Bateson et al, 2020)

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Summary

Introduction

In this study we will consider the WIPoFSD model (Waves-in-Ice module and Power law Floe Size Distribution model) of Bateson et al (2020) and the prognostic FSTD (Floe-Size-Thickness distribution model) of Roach et al (2018, 2019). 5 the shape of the distribution emerges primarily from parameterisations at the process level, though with some dependency on model structure such as how the FSD is discretised over floe size categories. These models present useful case studies to examine the advantages and disadvantages of different approaches to modelling the FSD and its impacts on sea ice. We introduce a new quasi-restoring brittle fracture scheme into the prognostic model, which crudely accounts for in-plane fracture processes in winter and melting of sea ice along existing cracks and other linear features over the subsequent melt season. We explore how differences in the 15 impacts of the two models emerge and consider the implications of the results presented here for different strategies in modelling the FSD

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