That's dogs (for hunting and food), sweet potatoes, yams, and paper mulberry, used to make tapa cloth in the Pacific.
(We're not sure if they didn't bring the pigs and chickens widespread in Polynesia, or if they didn't survive the voyage or the initial landings, or their bones didn't end up in excavated middens. Maybe a flu virus got in there?).
The aute didn't really flourish in Aotearoa, and the cloth derived from it wasn't that warm, so clothing as well as fish hook styles, canoe styles etc. from Polynesia were rapidly adapted, but it's clear that the Polynesian settlers who became the Māori, they came prepared.
Polynesians also seem to have taken birds on their voyages - when a bird is released and comes back there's no land nearby, if it flies off in one direction follow it to find land.
Which means for exploration, you can go 1/3 to 1/2 the distance of your food "out" as long as you wear the risk of the sums going wrong "back"
The oceans have strong prevailing wind and wave patterns. I think this played to the compass-less navigation (stars and planets help) model: you did know "which way was up" for a single frame of reference view.
So it was awesome, but also awesome engineering of cost-optimisation.
I think it came down to successive waves of exploration. You do the limit of the craft, then you do a flotilla of craft with more stores, then you do portage of stores to intermediate places or send on a sub-team and eventually you "arrive" somewhere you know the cost of getting to, within acceptable water-limited margins of error.
Kon Tiki gets a bad rap, but some things they found workable like extracting drinkable non-salty water from fish (swim bladders? lymph system?) and the sustainability of sweet water in coconuts, go to how long you can go "out" for that magical 1/3 to 1/2 of your stores.
The El Nino Southern Oscillation (ENSO) was identified in 1924 (but not really researched until the 80s, to be fair), and its effects on currents and more importantly prevailing winds well known to Chilean fishermen at the very least, nevermind the knowledge still retained in Polynesia.
There is still vigorous debate concerning it, but IMO, the fastest tack is the close haul -- sailing into the wind (not directly into it, but the closer you get to it without pointing directly into it, the faster you go). I have a sailing buddy that swears the broad reach is the fastest tack (sailing at an angle away from the wind). Some say running is fastest... but of course they're mistaken. Seems to me this is a controversy that only Mythbusters could have designed an experiment for and revealed once and for all which sailing tack is fastest.
The truth of the matter is not remotely as clear as you claim, and the debate continues in earnest, and right here right now before your very eyes. I haven't sailed everything, but I have sailed enough to form a strong opinion, and my opinion is close hauls are notably faster than a broad reach or any other tack.
We'd be racing in different directions. ;) The answer of which tack is fastest could be closed in on using 2 identical sailboats with GPS starting in roughly the same position and heading off on their different tacks, but to account for wind being different in different places, the two boats would need to race over and over again... I think at least a thousand times.
Occurs to me the water itself at times has speed, and will also be different in different places and times. So it's harder than I imagined to figure it out.
fwiw I've sailed craft that will make 20 knots sailing almost directly into a 10 knot wind, and 30 knots in a 15 knot wind. Gotta love multihulls.
And yep, every speck that was habitable, and quite a few that weren't in the long term - e.g., Raoul Island in the Kermadecs, Norfolk Island, Campbell Island in NZ's Sub-Antarctic Islands, Pitcairn Island, Henderson Island, etc. etc.
Plenty of places Polynesians settled, or tried to settle.
Polynesian migrations tended to happen after a decrease in carrying capacity of settled islands that led to civil war over limited resources.
I can, if really needed to dredge up papers to back this, but I'm not making any promises for when.
Remote islands became a casual study of mine during the pandemic... for some reason. Happy to learn more about French Polynesia.
[1] https://en.wikipedia.org/wiki/Extremes_on_Earth#Remoteness
They were the ultimate example of NIMBYism; zero people per square mile: no density at all. 3000 miles of swimming or paddling to get the nearest store or library. Shitloads of fossil fuels required to deliver supplies. Totally unlivable. All the resident animals cared about were their property values, ocean views, and their god forsaken current way of life and character of their neighborhood.
I've come to the conclusion this beach does not exist; beaches are only ever free of pollution when they are regularly cleaned by humans, regardless of how remote it is.
They are much bigger than cities. Farms fade and start to blend together and their perfect geometric shapes are harder to see.
But clearcuts are more haphazard but spread over hundreds of kilometers, so even when you zoom out really far, it just looks like someone spilled a bunch of salt on the map.
Some parts of Bastimentos aren't bad eiher.
And even that only bt an extremely broad reading of “major city”.