Crusade for the North: No King Olav Tryggvason

Without King Olav I heavy handed christianization of Norway and Iceland, how would Christian Europe respond to a continued pagan populace in scandinavia.

Is a solution similar to the teutonic knights likely at all?
 
It's unlikely that Norway would remain unchristianized long : there was a really important stress on adopting Christianity in the region, both from outer and inner dynamics to Scandinavian polities.

These dynamics generally involved the promise of an opening to a wider, more prosperous world that grew more powerful from the ahses of Carolingia (it's particularily obvious with the imperial pressure on conversion of Danmark) but also as the promise of a stronger institutional drive among Scandinavian polities both justifying and strengthening regional unification.
Indeed, medieval Christianity wasn't just proposing an alternative religiosity, but an unified, coherent social-institutional model, that could adapt itself to local realities and folk practices which in Scandinavia was translated by a stress on the role of fate and natural forces from one hand, and conception of a "saint king" fighting in battle for Christ without diluting itself.

The relatively disparate ensemble of faiths, beliefs and practives of traditional paganism had to fight there a whole system.
It's why Christianity appeared in waves in Scandinavia, and in this case Norway (on which the relation with Christian England was particularily important) : Haakon Haraldson "the Good" already made a bid for an unified christianized Norse kingship and his failure meant the victory of petty-kings and important nobles of Norway for a while, but it also meant that stronger kings as Harald Bluetooth that did managed to pull an unified enough kingship were able to settle in.

The religious policies of Olav have to be taken in account along these lines : if Norses had to have a strong kingship, in face of Danes and against the jarl fierce regionalism, there weren't a lot of choice in the early XIth century, something that was acknowledged even by his political ennemies.

Let's say that Olav dies shortly after won his crown leaving a noticable enough Christian influence into Norway, while not dominant or even present in most of petty-kingdoms.
In another hand, you wouldn't have much reason for a jarl half-regency/half-hegemony as Eric Haakonsson's to either adopt Christianity as an evident outcome, either to really undergo a pagan reaction.

If the appearence of a Norse Christian king is delayed too long, I think we'd be talking of a slower Christianisation, maybe along what happened to Sweden in the same time, on which succession wars between Danish and Norse for the attribution of the kingship would be as much steps into rooting down an unified Christian kingship in Norway.
I think it would butterfly Norse dominance on Scandinavia in the XIIth century, being engulfed into these wars with Danemark, and maybe (in a worst case scenario) making northern Norse polities more apart Jamtland-style
 
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