The provisions of this article in relation to private parks and lakes, the licensing thereof for the keeping and propagation of game and game fish therein, and permitting the same thereof, shall apply to every park or lake or such part thereof, as is on land held by private ownership, and to every lake, the water of which, or the right to use of such water, in whole or in part, has been or may hereafter be acquired under the laws of this state or of the United States, for irrigation purposes, and the owner of such land or water right shall be deemed the proprietor of such park or lake, and of the game or fish therein to the extent of his ownership of such land or water right.