There are three different ways to move the camera around the island; click and drag, the overview map, and having the camera centered on a tribesperson.
1. Click and Drag Edit
Simply click the cursor somewhere where there is empty grass (or grass with flowers) and drag the mouse in the direction you want to scroll the camera in.
2. The Overview Map Edit
Open the overview map with the map button on the bottom left of the screen, hover the cursor over the part of the island that you want to look at, and click the mouse to jump the camera there.
3. Centering the Camera on a Tribesperson Edit
Click on a tribesperson; a white circle should appear under their feet. As the tribesperson moves around the island, the camera will follow them, keeping them onscreen, until you click on something else.