sondenso already pointed out the subject/verb agreement issue with A and B, but I wanted to point out the (hilarious) implications of the placement of the phrase "on earth." In A, B, and C the meaning is slightly different from what we want-- these choices imply that "here on earth" we believe something (...as opposed to the Martians who believe something else?). Often if you see an entire phrase lifted and placed somewhere different in the other answer choices, it's a red flag to check for modifier issues.
The intended meaning is that "out of all of the indications on Earth, this particular indication is the surest." Both D and E correctly place the phrase "on Earth" after "indications," where it belongs.
As several others pointed out above, the non-underlined pronoun "their" means that we must have the plural antecedent "trees." Additionally, D is missing a verb! The past participle "believed," while it looks exactly like the simple past tense "believed" CANNOT function as a verb in this situation. We use the idiom "believed to be" in the following situation:
She is believed to be the best runner in the class.
(OTHER PEOPLE--who are unspecified in this sentence-- believe that SHE is the best runner)
...or...
Stella, believed to be the best runner in her class, won the competition.
(Here "believed" functions as it does in choice D--as a modifier describing Stella)
If we use "believed" as a simple past-tense verb, the function of that verb and the required structure changes:
She believed Carl.
(SHE is the one doing the believing, and CARL is the one being believed)
Choice E (while to my ear horribly wordy) correctly matches the subject/verb, uses the correct pronoun antecedent, and places modifiers correctly. This is another great case for "get rid of the wrong ones" instead of "find the one that sounds good."