Which island? Unless you are in a region of landslides, volcanic activity, hurricanes or coastal erosion, anyplace on an island is as safe as anywhere else.
Whidbey Island, (Washington) is a lot safer than Montserrat (lesser Antilles) or Heimaey (Iceland), for example. The latter two have been nearly destroyed by recent volcanic eruptions. Coastal barrier islands of Texas and the middle Atlantic are also at great risk of flooding.
where is the safe place to live in a island and why
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The entire island nation of Maldives, which is barely above sea level, is also at great risk, especially with the onset of glabal warming.