WPF non visual dcependancy property inheritance for non-visual objects

Sorry if this is the wrong place to post ths question - feel free to point
me to the proper group if it isn't.

I am trying to implement WPF dependancy property inheritance in a non-visual
object hierarchy.
Below is the complete code for a simple console app test - it just requires
references to PresentationCore, PresentationFramework & WindowsBase to
compile.
I am stuck on how to implement the object relations.
How does WPF programatically implement containership to enable property
inheritance ?
It would be a shame if this is only possible with visual elements.

Gerry

using System;
using System.Windows;
namespace CTest
{

  class Program
  {

    static Selectable a = new Selectable();
      static Selectable aa = new Selectable();
         static Selectable aaa = new Selectable();
        static Selectable aab = new Selectable();
      static Selectable ab = new Selectable();
        static Selectable aba = new Selectable();
        static Selectable abb = new Selectable();

    static void Main( string[] args )
    {
      /*
      *
      * can we mimic xaml containment structure
      * to enable dependancy property value inheritance
      *
      * a.AddChild(aa); ???????
      * aa.AddChild(aaa);
      * aa.AddChild(aab);
      * a.AddChild(ab);
      * ab.AddChild(aba);
      * ab.AddChild(abb);
      *
      */
      dump( null , "All false");
      dump( a , "All true ");
      dump( aa , "aa branch true" );
      dump( aaa , "aaa true" );
      Console.Write( "Any key to continue ...." );
      Console.ReadKey( true );
    }

    static void dump( Selectable s ,string msg)
    {
      if ( s != null )
        s.Selected = true;
      Console.WriteLine( "--- {0} ---" , msg );
      Console.WriteLine( "a = {0}" , a.Selected );
      Console.WriteLine( " aa = {0}" , aa.Selected );
      Console.WriteLine( " aaa = {0}" , aaa.Selected );
      Console.WriteLine( " aab = {0}" , aab.Selected );
      Console.WriteLine( " ab = {0}" , ab.Selected );
      Console.WriteLine( " aba = {0}" , aba.Selected );
      Console.WriteLine( " abb = {0}" , abb.Selected );
      Console.WriteLine();
      if ( s != null )
        s.ClearValue( Selectable.SelectedProperty );
    }

    public class Selectable: DependencyObject
    {
      public static readonly DependencyProperty SelectedProperty;
      public bool Selected
      {
        get { return (bool) GetValue( SelectedProperty ); }
        set { SetValue( SelectedProperty , value ); }
      }
      static Selectable()
      {
        SelectedProperty = DependencyProperty.Register(
                  "Selected" ,
                  typeof( bool ) ,
                  typeof( Selectable ) ,
                  new FrameworkPropertyMetadata(
                        false ,
                        FrameworkPropertyMetadataOptions.Inherits
                  )
               );
    }

  }
}