... Inflow from the Pacific has been low this year but inflow from the Atlantic has been way above normal ...
I can't find real-time data out there and I'd love to. I am not so concerned with the overall flow budget in the Arctic, but with short-term effects (weeks to couple of months) on the Pacific side.
I read this from the latest ASI News and Analysis. It doesn't say more, less, or high or low, but it finds this year's warming of waters way north unusual and maybe linked with ocean currents (not necessarily from Bering directly though).
http://nsidc.org/arcticseaicenews/"Early ice retreat has allowed the ocean to warm, both from absorption of the sun’s energy and from
northward-flowing warm water in the Chukchi Sea to the west of Alaska and in the Barents Sea to the north of Norway. "
...
"What is quite unusual this year is the early ice retreat and resulting ocean warming in the western Beaufort Sea and in the western East Siberian Sea.
The extent of warming to the north of these two seas is also unusual, as well as the extent of this warming to the north. These two areas typically melt out later in the season, when atmospheric heating rates have declined from their mid-summer peak. Thus the exposed ocean warms, but not all that much. This pattern was true during the record-setting year of 2012, when by the end of summer, these areas were substantially cooler than surrounding seas that had melted out earlier."
"This year, however, the melt out was early and extensive enough that the ocean has already warmed substantially in these two areas. More sea ice retreat is probable in the western Beaufort and East Siberian seas as well as areas in the coming weeks.
But what about the ocean’s response? Some warm water might move northward via ocean currents and contribute to ice melt. However, further dramatic ocean surface warming is unlikely, given that the atmosphere is already cooling, especially in far northern latitudes."