Posts in Green
Ms Lucas steps down in September and Cranie is now 1/5 on Paddy Power, with his nearest rival being Natalie Bennett at 7/2.
Cranie, a social worker and lecturer, is campaigning on a strong anti-austerity ticket.
Spencer Fitz-Gibbon, formerly Caroline Lucas MP's head of media relations who is running Cranie's campaign said: "The betting may indicate that Green Party members want to escape the old single-issue image and appeal to a much wider audience on the basis of a strong economic and social message."
For the past three years I've been working with colleagues at Democratic Audit on a major research project which aims to track how UK democracy is changing, how well it measures up against international standards, and how it compares to the best democratic performance found globally.
The results of our democratic audit have now been published and feature in today's Guardian.
It probably won't surprise anyone to learn that we find many causes for concern. In fact, we identify more than 150 concerns, ranging from the concentration of media ownership to the reliance of the political parties on large donations.
Most of you probably remember Cranie from his excruciatingly close bid to become a Euro MP in 2009, when he was narrowly beaten by the BNP by 5,000 votes.
The social care lecturer (from West Lancs College in Skelmersdale) also coordinated John Coyne's mayoral campaign and is one of the most influential Greens in the North West.
The 40-year-old said he will combine a "commitment to making the party more efficient and effective, with more members and a more strategic approach to fundraising, and more support to local parties that are working hard to win more council seats" if he is successful in becoming Caroline Lucas' successor.
Liverpool born Alexandra Phillips is in the running to be deputy leader of the Green Party.
Ms Phillips, who is the daughter of BBC Radio Merseyside DJ Roger Phillips, attended the city's King David High School.
The Green Party said that as a socialist, she campaigned in the city for the Labour Party alongside her mother, but quit the party in 2003 over the invasion of Iraq.
The 26-year-old is now a councillor in Brighton and Hove and has thrown her hand in to be deputy leader of the Green Party.