While the debate should not be about personalities, the monarch's identity clearly makes a difference. Former prime minister and republican Malcolm Turnbull once famously said many Australians were "Elizabethans" rather than monarchists.

However, as we mark the transition from one monarch to another, republic supporters still need to be patient, for a number of reasons.

Speaking on talk radio on Friday, Prime Minister Anthony Albanese declined to address the republic question, but what can we expect in the longer term?

With the death of Queen Elizabeth II, Prince Charles has become King Charles III, not just of the United Kingdom, but of Australia and other dominions too. Camilla has become Queen Consort with Elizabeth's blessing.

Opinion surveys have regularly shown the idea of Charles becoming king raises support for a republic. I believed in 1999, at the time of the constitutional referendum, the figure was about 5 per cent. It was widely recognised Charles was not as popular among Australians as his mother. That is still the case.

After the first, failed referendum, influential republicans, like Turnbull, believed Australia should not consider a second referendum until the queen had passed away. The Australian Republic Movement disagreed - but that view became widespread.

This has prevented any official preparatory initiatives prior to the end of her time on the throne.

Much has changed over the past 23 years since we last seriously considered a republic. This means the public discussion must begin again almost from scratch and under new circumstances. For one thing, any Australian currently under 40 did not vote in 1999.

Some lessons have also been learned from 1999, including problems with divisions between republicans about what model to adopt, but many issues remain unresolved. The central arguments for a republic have not changed markedly, but the situation is different.

One important development has been the increased urgency for constitution recognition of Indigenous rights. The republic movement and most republicans recognise the latter now has precedence over a second republic referendum.

Experience and common sense dictate the move towards a republican constitution should not be rushed anyway. There needs to be time put aside for considered community discussion. While the initial discussion can be led by civil society groups, ultimately the discussion must be led by the federal parliament and government if we are going to make genuine progress.

The republic movement has recently launched its preferred model for a republic, which is a starting point for public discussion. This follows years of stating the model should be decided by the community at a plebiscite prior to a referendum.

The new model proposes Australian parliaments nominate candidates for president before a popular vote to decide between them.

The method of constitutional reform remains unchanged from 1999 (there has not been a referendum question put since then). This recent history of our failure weighs heavily on any new referendum proposal.

Such proposals must effectively first win the support of the both houses of federal parliament. Then the specific proposal must be put to a yes/no referendum.

There is no other legitimate constitutional way, even though some people would prefer an "in principle" referendum to test the waters first. Realistically, the support of the federal government and opposition is also a necessary condition for a successful referendum.

At any rate, any radical transformation of the republic/monarchy debate will not happen straight away. There needs to be time for the public to mourn the loss of Elizabeth.

That means a timetable for a second republican referendum, given King Charles has come to the throne in 2022, is at best five to 10 years away (after the 2025 federal election at the earliest). By that stage Charles himself will be close to 80 years of age or even older.