Yes it is by 40-50m a year, It used to be growing very slowly at a few centimetres a year and now it's receding drastically

There's a good book by Ben Rawlence called The Treeline that talks about climate change and the Arctic Treeline

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Yes its called Artic Greening and is happening quickly.

Other factors such as permafrost thawing, changes in fire regimes, and land use changes are also affecting the treeline. Additionally, this process is not uniform and varies in different regions, some areas may even experience a shrinkage of treeline.

It's important to note that this process is not only affecting the treeline but also the entire ecosystem in the Arctic, as the trees support many other species and changes in the treeline can have cascading effects on the entire ecosystem.

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do you have a source for the 40 to 50m?

In Catherine kleier’s (botanist) great courses botany lectures, she discusses how alpine regions are actually experiencing more drastic temperature change than non alpine regions She says the leading theory is the disappearance of year round ice deposits

>book by Ben Rawlence called The Treeline that talks about climate change and the Arctic Treeline

It was from him, I trust the source as he's quite dedicated to the topic of climate change and environmental preservation

But there's no widely acceptable study for this other than Ben Rawlence

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And all the facts on The Arctic heating up and the effects of climate change in the are a seems to match up with the claim.

Is that 40-50 m north per year? That would be just a few kilometers per century which sounds very slow. 40-50 m in height on the other hand would be extremely fast. Is there some conversion factor I'm missing? This study cited by your reference talks about "29 and 27 altitudinal metres (0.6 and 0.5 m·yr^(−1))".

One example: In Alaska, There is a reduction in permafrost, leading to a boom in trees, and a huge boom in beavers. The ponds they create warm the soil further and create more readily available water, which attracts other animals like muskrats and waterfowl. An entirely new ecosystem is being created. https://www.nationalobserver.com/2022/02/23/news/alaska-warming-tundra-beaver-boom

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The concern is acceleration: if it's 40-50m horizontally per year now then it could be 400-500m per year in 20 years.