We all know from thousands of pokemon experiences how catching wild pokemon works. This is as close a replication as I can think of at the moment.

There are five areas in which you catch wild pokemon.

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The pokemon who inhabit these areas will be numbered in their respective forums.
There will be a randomized roll(click the drop-down bar "Post Action," then click "randomized roll") to see which pokemon the trainer will come to meet.
It is up to the trainer whether to fight it, flee from it, or capture it.

Note: You can fight pokemon in the second evolutionary stage if you have three badges.
You can fight the third evolutionary stage when you have five badges.
If you come across a pokemon that is too powerful for you, evade it.