Madonna's daughter Lourdes is thinking of moving in with her father.

The 16-year-old fashion designer is said to be keen to move in with her dad, personal trainer Carlos Leon, after a series of arguments with her pop superstar mother.

A source told Britain's Grazia magazine: ''They have been arguing like crazy. But Madonna would far rather try to sort things out than for Lourdes to leave home and move in with her father. She's not happy about it, but Lourdes seems to have her mind made up.''

Madonna - who also has son Rocco, 12, with ex-husband Guy Ritchie and adopted kids Mercy James, six, and David Banda, seven - recently cancelled a planned Australian tour, saying ''my children are my first priority'' and that she wanted to spend more time with them.

Arguments between the 54-year-old singer and her daughter have been said to range from Lourdes' choice of friends to her friendship with Madonna's 24-year-old boyfriend, Brahim Zaibat.

After Lourdes had been caught smoking earlier this year, Madonna said: ''It's hard - every day is a negotiation. But cigarettes I'm not very fond of for anyone, especially my daughter.''

Other sources have suggested Lourdes is keen to get out of the spotlight and wants to pay her own fees to attend performing arts school Bard College close to New York in a bid to escape her mother's strict rules.

A source said: ''Lourdes can't wait to leave home and get to university. She's already planned it all.

''She's also fed up being in the spotlight. That's why she didn't go on stage during Madonna's tour.''