Close interactions between two pairs of vertically stacked counterrotating
eddies under sea ice were investigated in numerical experiments. The numeri
cal model contains a stratified ocean capped by an ice layer. Under the ice
layer a shallow brine source produces a top cyclone and a submerged anticy
clone, while a shallow freshening source generates a top anticyclone and a
submerged cyclone. Ice-exerted friction dissipates the top eddies in time,
leaving submerged ones in lone existence. In this work, winning vortices ar
e sought from a brine-brine pair, a freshening-brine pair, and a freshening
-freshening pair. Brine and freshening sources are made equal in strength t
o level the playing field. When closely paired, fission, an increase in the
number of subsurface vortices, occurs from a brine-brine pair and a freshe
ning-brine pair but not from a freshening-freshening pair. Consequences of
fission invariably increase the number of submerged anticyclones. A heurist
ic argument is given to explain this polarity. The strong interaction among
closely packed eddies operates in timescales of tens of days, helping to e
xplain the predominance of submerged anticyclones under the Arctic sea ice.