OOP PHP：在子静态元素的声明中使用parent的static元素？

I'm trying to write a class that uses its parent's static declared array to add a new value to. Below is kind of a feel of how I'm trying to run it...

class SuperClass
{

protected static $array_name = array('value1');

}

class SubClass extends SuperClass 
{

protected static $array_name = array_push(parent::$array_name, 'value2');

}

Is there any way to properly implement this without a __construct() function?

I'm trying to implement a static working model for the SuperClass and its parents...

I'm not entirely sure if you want static classes completely, but this does what you want give or take :

<?php
class SuperClass
{
    static $array_name = array('value1');
}

class SubClass extends SuperClass
{

    static $array_name = 'foo';
    function __construct(){

        self::$array_name = array_push(parent::$array_name, 'value2');
    }
}
$foo = new SubClass();
var_dump($foo::$array_name);  // prints INT 2 - as push returns number of elements in array.
?>