The type of a logical fallacy found in the given passage is called the appeal to authority (or argumentum ad verecundiam). It occurs when a person claims that something is true (or untrue) simply because a valid authority or expert on the issue said so.
Here, the authority in question is a highly respected local doctor. According to the speaker, we should agree with him only because he is one of the smartest and most prominent citizens. There are no legitimate arguments in favor of the mentioned candidate for mayor.
Well if you think about it photosynthesis shows how the plants evolves so if you were to use a diagram that would support the fact that leaves take in nutrients and energy.