I think your study would have been much more interesting (but not that algorithmically challenging...) if you only included the large train stations in Paris.
I think your study would have been much more interesting (but not that algorithmically challenging...) if you only included the large train stations in Paris.
On the other hand, metro station are pretty much anywhere, and they tend to have the opposite effect. Having a metro station close by is very practical and doesn't generate as much nuisance since it is underground and pretty well hidden.
I am almost sure the data will look very different if you only look for train station.
And it is not for lack of trying. City planners since at least the 1850ies have been trying to improve the areas surrounding large train stations.
I'd say mostly Montparnasse, Gare de Lyon, Gare de l'Est, Gare du Nord, and Austerlitz.
RER, Transilien, Metro and Tramway stations would not count as "train stations" in the eyes of a Parisian/French person, and places outside of the Périphérique (the ring road that follows the old defensive "Thier walls" of the city) would not count as "Paris" for this kind of conversation.
I checked the link in the sibling comment[0] and just found out that "Gare Paris Bercy Bourgogne - Pays d'Auvergne" is a thing that exists. Never heard of it before.
So all in all, from a Frenchperson's perspective there are 7 "gares" (train stations) in Paris.
I'm not saying which modes of thinking are more rational or superior or anything of that sort, just that the seemingly instinctive distinction you have described is not necessarily so to everybody.
That is what matters here.
Do you know the difference between "train" and "subway", because "the metro" is just a subway, just like in NYC or commonly found elsewhere in almost any large city.
I can hop onto Tokaido Main southbound at Tokyo with $1 ticket and get off at same Tokaido Main platform at Kyoto, or vice versa, or same for Ueno to snowy Aomori through Tohoku Main, if I didn't mind paying $60 outstanding fee and a 12-hour 5 train change long "metro" experience and "oh come on" look at the gate. By all definitions the Tokaido or Tohoku line are a "metro" rail, and uses some of same models of rolling stocks(cars) as literal subway services. I can technically do that because there's no hard distinctions between metro and train in the system I'm familiar with but the rails are rails and rails go everywhere.
European cities tend not to have that, and instead have often Y shaped branches off international long-distance rail networks that comes in and backs out of a "City Central" station, where it connects to local train services like trams and subways. This is due to Europe long having concept of city boundaries where city-ness of cities roll off sharp and somewhat abruptly ends, and many cities have not expanded enough to fuse together like late-game Civ maps.
Yes, I am aware, what I'm saying is that not everyone knows and you have to say it. You can't say, like, the author's stupid to not be aware of obvious distinction.
I'm starting work on a follow-up which will sample more cities, though I still plan to use walking distances w network analysis for now.
And people would probably often forget Paris Bercy ^^.