When it comes to characterization, we can say the following about the personality of Mr. Eckels in "Sound of Thunder":
The author characterizes Mr. Eckels as someone who demands to be admired by others, who is bossy, arrogant, and even foolish at times. We know that because of Mr. Eckels actions and speeches, that is, through indirect characterization.
Characterization takes place when the author reveals a character's personality traits or even physical appearance to readers. It is direct if the narrator of the story tells us those things with adjectives such as "tall," "beautiful," "arrogant," etc.
Characterization is indirect when we infer the character's traits by observing his actions and words. That is how we know Mr. Eckels's traits. The way he behaves and the tings he says reveal he is bossy and foolish personality.
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