It is stated in several sources that he is a descendant of the Maharam of Rotenberg, Rabbi Jonah from girondi,rabbi yona ben tahlifa,
up to The Prophet Jonah.
Obviously it is impossible to know child after child how he is a descendant of Jonah the Prophet, but does anyone have any information how he is a descendant of a rabbi Jonah from girondi and rabbi yona ben tahlifa?