Did the markets in Europe influence the development of botany and agriculture in the New World? How so?

Yes, European markets did influence botany and agriculture in the New World.

This is because European markets were, as the word implies, potential markets for agricultural products from the Americas. For example, European demand for American products such as tomatoes, tobacco, and sugar was very high, and these led to the development of regions and economic systems, as we can see in the Southern United States, and the development of a plantation economic system that was based on slave labor.

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