Which method should I use to analyze the effect of temperature and rainfall on birds?

I need to analyze the effects of rainfall and temperature on Frugivorous birds in a wildlife reserve. We don't actually have to run the numbers but still explain what method we'd use and how to carry it out. I was thinking of using ANOVA or Shannon-Wiener Index but don't know if they're correct

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    $\begingroup$ Can you describe your measurements? What effects on the birds do you measure? $\endgroup$ – kjetil b halvorsen Aug 20 at 3:19
  • $\begingroup$ Over what time frame? Are you measuring population? Some behavior? $\endgroup$ – user255758 Aug 21 at 4:10

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