Detecting Thermohaline Layers with a Clustering Algorithm

Thermohaline staircases are a widespread stratification feature that impacts the vertical transport of heat and nutrients and are consistently observed throughout the Canada Basin of the Arctic Ocean. Observations of staircases from the same time period and geographic region form clusters in temperature-salinity (T–S) space. Here, for the first time, we use an automated clustering algorithm called the hierarchical density-based spatial clustering of applications with noise to detect and connect individual well-mixed staircase layers across profiles from ice-tethered profilers. Our application only requires an estimate of the typical layer thickness and expected salinity range of staircases. We compare this method to two previous studies that used different approaches to detect layers and reproduce several results, including the mean lateral density ratio RL and that the difference in salinity between neighboring layers is a magnitude larger than the salinity variance within a layer. We find that we can accurately and automatically track individual layers in coherent staircases across time and space between different profiles. In evaluating the algorithm’s performance, we find evidence of different physical features, namely splitting or merging layers and remnant intrusions. Further, we find a dependence of RL on pressure, whereas previous studies have reported constant RL. Our results demonstrate that clustering algorithms are an effective and parsimonious method of identifying staircases in ocean profile data.

 

Modeling internal wave propagation through stratified fluids

The warm layer below the pycnocline of the Arctic Ocean could dramatically increase the rate of sea ice loss if it were somehow able to rise to the surface. Internal waves, which can be generated by wind and ice floes on the surface, can propagate downwards, providing a possible energy source for heat to mix upward. As ice cover in the Arctic declines, it will be important to predict how internal waves’ interactions with stratification profiles will change. In this project, I developed numerical experiments to solve the Boussinesq equations of motion using spectral methods. The results match predictions from theory that, for stratification structures with more than one mixed layer, there are particular values of the ratio between layer thickness and wavelength where the wave transmission is much higher than for just one layer. These experiments give insight into whether the propagation of internal waves through density staircases could reasonably become significant to vertical heat transport as the Arctic climate continues to change.