How long would a Martian colony take to gain independence?

Assuming only plausible advancements in science, a Martian colony is established before the end of the century. (Sooner if possible). What materials would be needed in regular shipments from Earth? How often would those shipments have to come? (Based on plausibly-sized transport space craft)

What sort of time frame would be possible before the Martian colony was truly self-sufficient enough to declare independence from their Earthling overlords?

No FTL. Ships use an energy - > thrust drive such that matter is not expended in generating thrust. Solar or nuclear power is enough to move ships around. Earth has a moon base and orbital stations and shipyards. Most ships belong to the Earth Space Navy, but there are a few rogue ships that may prey an an undefended transport.

Mars has a valuable resource that Earth wants and therefor it funds the colonization effort. Mars wants trade as equals rather than being a colony that must pay tribute to the motherland.

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How long would a Martian colony take to gain independence?

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