Surviving France Antarctique & France Équinoxiale: Implications?

France Antarctique was a French colony South of the Equator, established in 1555 in and around the modern state of Rio de Janeiro in modern Brazil, which came to an end in 1567 by the Portuguese.

France Équinoxiale was a French colony around the Equator, established in 1612, around the Brazillian State of Maranhão. It too fell to Portuguese arms in 1620, with São Luís, originally a French city, being repurposed as a Portuguese city.

But what if both France Antartcique and France Équinoxiale were more successful, could it have led to a larger presence in French colonialization in the Americas? What could it mean to places such as Louisiana and Quebec?

And what would the name of these countries be if they were to go independent?
 
I do not see much of an effort being made in North America at all if France Equinoxale succeeds-the most likely way this colony would survive would be to import African slaves for sugarcane plantations. With all the money being made in sugar, by the time 1600 rolls around the French government and settlers may not want to waste time on the less lucrative fur trade, and the St. Lawrence valley would not be settled by the French. The Dutch or English would be likely settlers, and so would the Portuguese if they've been kicked out of Brazil by French military or political machinations.
 
I think that France Antarctique is less likely to survive. It suffered from infighting between the settlers (who were divided on religious matters), was founded in a period that France would face serious internal troubles and was located right in between already stablished Portuguese colonies (Bahia and São Paulo/São Vicente). I
France Equinoxiale could have more luck. There was no stablished Portuguese settlements or fortresses to the North of Natal until then, the French had already made trade agreements with indigenous tribes in the region before (the factory of Ibiapaba, in nowadays Northern Ceará) and, instead of only hanging to their island in Maranhão (as they have done in Rio de Janeiro) they actually managed to explore the country, going as far as the confluence of the Tocantins and Araguaia rivers). Give the Portuguese something else to worry about (maybe an earlier Dutch attack against Bahia or Pernambuco) and they might be able to survive.
Regarding French Guiana, it was only stablished after the French were expelled from Maranhão, so there is no point of "linking" them. They might expand North towards the Guiana, but it also might not be the case, as they would have more valuable lands in Maranhão, along the Amazon basin and maybe even in Ceará to explore.
 
I think that France Antarctique is less likely to survive. It suffered from infighting between the settlers (who were divided on religious matters), was founded in a period that France would face serious internal troubles and was located right in between already stablished Portuguese colonies (Bahia and São Paulo/São Vicente). I
France Equinoxiale could have more luck. There was no stablished Portuguese settlements or fortresses to the North of Natal until then, the French had already made trade agreements with indigenous tribes in the region before (the factory of Ibiapaba, in nowadays Northern Ceará) and, instead of only hanging to their island in Maranhão (as they have done in Rio de Janeiro) they actually managed to explore the country, going as far as the confluence of the Tocantins and Araguaia rivers). Give the Portuguese something else to worry about (maybe an earlier Dutch attack against Bahia or Pernambuco) and they might be able to survive.
Regarding French Guiana, it was only stablished after the French were expelled from Maranhão, so there is no point of "linking" them. They might expand North towards the Guiana, but it also might not be the case, as they would have more valuable lands in Maranhão, along the Amazon basin and maybe even in Ceará to explore.

So basically you think France would limit itself to the northeast of modern Brazil? Okay. That'd leave the Amazon delta and the Guyanas open for other nations, probably the Dutch or English. That'd have the potential to become interesting... Maybe have London trying to get (most of) Venezuela to safely link up Amazonas with their Caribbean islands/Trinidad and Tobago (and from there the remainder of the Lesser Antilles run by them)?

Also, as people before me said, it'd result in a quite limited presence in North America. Maybe just Newfoundland and the Hudson Bay (it was originally included in New France until they sold it to the HBC for much needed cash), to get in on the riches of cod and fur?
 
So basically you think France would limit itself to the northeast of modern Brazil? Okay. That'd leave the Amazon delta and the Guyanas open for other nations, probably the Dutch or English. That'd have the potential to become interesting... Maybe have London trying to get (most of) Venezuela to safely link up Amazonas with their Caribbean islands/Trinidad and Tobago (and from there the remainder of the Lesser Antilles run by them)?

No, I said they might go North, but they also might not. They were exploring the region around the Bay of Guajará (they probably even founded a factory on the banks of the Tocantins River), so they would explore the Amazon too. But the richests lands, with soil more adequate to plantations, were in Maranhão, and they would have to secure lands to the South in order to defend it from conquest.
 
So assuming that France Equinoxiale is successful (well more successful than OTL), how far could it expand theoretically. I was thinking it would expand in addition to southward, it could expand westward to the Atlantic Coast (around the OTL Brazillian State of Rio Grande do Norte & Paraiba)
 
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