The speaker is weeping at the end of “the tropics in New York” because he is homesick. In this poem, even we appreciate the exact description of the natural resources of the narrator's home, we can see too how the memory of the situations lived in his natal city, gives a sadness to his tale and finally begins to cry because he fells "hungry for the old, familiar ways".
The inference shows that the speaker is weeping because he is homesick.
It should be noted that an inference simply means the conclusion that can be deduced based on the information given.
In this case, the inference shows that the speaker is weeping because he is homesick.
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