I want to use the word demography but that is human specific (demography: the scientific study of human populations, esp with reference to their size, structure, and distribution). Is there an alternative which is not human specific, particularly it's for a biological question about the distribution of trees.
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What you describe sounds to be a specific example of population ecology.
If you are looking for an accurate corresponding synonym it will have to be a neologism - DENDRODEMOGRAPHY; and I see nothing wrong with that term.
Otherwise plant demography as suggested is perfectly acceptable.