The correct spelling of the phrase "many tree" is actually "many trees". The word "many" is spelled with an /ɛ/ vowel sound and the plural form of "tree" is spelled with an /iz/ ending, which is pronounced as /z/. Therefore, it should have been spelled as "many trees". The IPA phonetic transcription for "many trees" would be /ˈmɛni triz/, with the stress on the first syllable of "many" and the second syllable of "trees".
There doesn't appear to be a specific etymology for the term "many tree". "Many" is an English word that comes from the Old English word "menig", meaning "a large number". On the other hand, "tree" is derived from the Old English word "treow". However, the specific combination of "many" and "tree" does not have a documented historical origin or etymology. It could potentially be a nonce word or a specific term used in a certain context or dialect. If you can provide more details or context about the usage of "many tree", it might help in understanding its meaning.