I think Seahorse is talking about something other than the "high scores" link from the LDW website.

If you check your game statistics, you get a list of how many times you fed your fish, how many you cured, trashed, sold, how many species you found, etc.

There's an option to "refresh" the internet statistics, and it looks like that shows your rankings with other players who also submitted their stats.

It's that list that will jump around goes up and won) without any real reason...

Personally, I don't look at the web "high scores" lists since those numbers are obviously suspect.