The British monarch and Australia in the cold light of day

Following the Diamond Jubilee events in London and yet another Queen’s Birthday holiday weekend here, it seems as good a time as any to review the role of the British monarch in Australia. Firstly, does she advise, warn or counsel? (Bagehot).  Secondly, does she “perform the ceremonial and official duties of Head of State, including representing Britain to the world; provide a focus for national identity and unity; provide stability and continuity in times of change; recognise achievement and excellence; encourage public and voluntary service” in addition to holding a large number of garden parties and walkabouts (The role of the sovereign www.royal.gov.uk).  For Australia, it is clear that she does not do these things although she may do some of them if she is in the country, 16 visits in 60 years.