The proprietor of every private park and lake licensed under the preceding sections shall, whenever required by the warden [director of the department of game and fish], make and send to the warden [director of the department of game and fish] at Santa Fe a report showing as near as practicable the kind, number, age and sex of the game, and the kind and number or weight of the game fish, added and disposed of during the year preceding and on hand at the date of the report.