Strategy board games that schematize competitive, yet non-competitive, ecological processes, including preferred embodiments comprising multi-generation games of strategy and'territory occupation played on a grid (100). During a first generation, players alternate placing game pieces, generally one grid unit in size, into unoccupied spaces on the grid, until substantially all teritory is occupied. During successive generations, progressively larger game pieces are used and players alternate three-part moves consisting of: a) removing a smaller piece of one own's color; b) placing as many larger pieces as possible of one own's color; and c) removing a smaller piece of one own's color; until no more smaller pieces are on the board. After the final generation, the player with the most pieces/territory wins.