Use initialize() instead of construct($id) if you want to store your UserAdmin model in session (like Auth module does). Serialized ORM objects will not call construct() so part of your rules will lost. Initialize() method sets default values for model properties like table_name, relationships etc.
In the child's constructor you can probably overwrite or add array elements to $this->_rules, as it will already exist as soon as you create a Model_UserAdmin instance.
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