There are two parts of the text which demonstrate the use of emotional appeal as a persuasive technique. Let's explain them separately:
The first part in which the speaker uses emotional appeal is: "Without sea ice, arctic plants and animals must either adapt or migrate. If they can’t, they will go extinct". Up until that point, the speaker was only explaining the facts and the consequences of these facts. Then, when he/she started talking about what those facts could do to living beings, creating awareness about the possibility of their extinction, the speaker made the reader also responsible for their lives. Therefore, the speaker created proximity and made the reader emotionally moved by his speech.
The second part in which the speaker uses emotional appeal is: "These communities must relocate inland or their homes and land could be washed out to sea". Here, he/she shows the reader what could happen not only to animals but also to people as a consequence of the facts he/she described. Using the expression "If that isn't enough", the speaker leads the reader from a bad scenario to an even worse one, where the changes described would affect negatively people like the reader himself, creating empathy and, through it, making the reader feel connected to the issue and responsible for his equals.