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(1) The alphabetical system only benefits the supervisor. The supervisor no longer has to have any troublesome discussions about who did what.
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(2) The contribution system also benefits the people that actually did the work. In many academic institutions and companies they look for first authorship's on papers. This is the only way they can determine if people did any meaningful science. From third author and down they could have ended up on the paper for close to nothing.
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And then there are the supervisors that mix things up:
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(1) Many supervisors will always put themselves last and everyone else by alphabet?
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(2) Others will always put themselves first and everyone else alphabetical (or by contribution). I suspect they do this so that the paper will be referred to as "supervisors name" et al. rather than "students name" et al.
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I have been through two alphabetical places and four by contribution places and I have reached the conclusion that if you want your name at pole position (at the alphabetical places) you just have to do all the work yourself. And finally just in case anyone thinks that I'm moaning and I'm unhappy about how things have panned out for me - I'm not - I just thought the topic was interesting. D!