I tend to believe that women initiate encounters with men with unconscious non-verbal signals. A man who is able to read these signals will have a good success rate in meeting new women. A man who cannot will be pegged as a "creeper".

I think it's not only true in real life, but on dating sites as well. Women receive so many messages from men that you are probably just going to get buried in all the noise if you send one. The best approach would be to make a good profile, and wait for them to message you. I'm not saying males initiating contact on these sites won't have any success, but I'd say it's statistically unlikely, comparatively.

It is also a strange coincidence that even on a biological level millions of sperm must compete to fertilize one egg. In lieu of absolute scientific proof (which may or may not exist) I'm fairly confident women are the ones who do the choosing, not us.

For the best results in approaching women, please consider the following flowcharts:

Pre-Approach Flowchart:

    <eye contact?> --no--> STOP
           |
          yes 
           |
    <did it seem adverse?> --yes--> STOP
           |
           no
           |
    <is boyfriend present?> --yes--> STOP
           |
           no
           |
        APPROACH          
     

Approach Flowchart:

    <Did you open by sexually assaulting
     this woman, such as by unwanted
     touching?> -------------YES---> GO TO JAIL
                    |
    <Did you open with a pick-up line?> --YES--> FAIL
                    |
    <Did you open with a cowardly question
     such as: do you have the time?>    --YES--> FAIL
                    |
    <Did you confidently introduce yourself
     or say something very interesting?> --NO--> FAIL
                    |
                   yes
                    |
    <Was it reciprocated?> --NO--> Nice try anyway
                    |
                   yes
                    |
   +-- <Are you and her still exchanging mutual -- NO
   |    conversation?>                              |
   |                |                               |
   |               YES                              |
   |                |                               |
  NO---<Do you think it is time to end it?>         |
                    |    +--------------------------+
                   YES   |
                    |    |
                    |    |
              <Did you end it?>--NO---[Your odds worsened]
                      |                      |
                     YES                     |
                      |                      |
              <Did you agree to meet --------+
               again or go somewhere
               else together immediately?>--NO--+
                      |                         |
    WIN  ------------YES                        |
                                                |
                      +--------------------------
                      |
               <Did you get her number?>--NO-- Maybe you 
                      |                  will see her again.
                     YES
                      |
                Call soon or she will forget who
                you are. Don't leave a message the
                first time. Don't call more than 
                two times in the first week. If
                very desperate and no luck after two
                you may try calling once more in a week,
                but seriously, move on...