You probably would have to use a script which would have to be referenced in your crontab. The problem is to calculate the final value of the popularity for each post, but if you apply the funcion the right way in the PHP script, the UPDATE operation on your MySQL database should work nicely.
Here you’ve got a discussion on how to apply that kind of operation (though the final values are easier to get) and there was a good discussion on this subject on StackOverflow sometime ago.
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