The carbon-14 dating method is based on the assumption that the rate of production of $^{14} \mathrm{C}$ by cosmic ray bombardment has remained constant for thousands of years and that the ratio of $^{14} \mathrm{C}$ to $^{12} \mathrm{C}$ has also remained constant. Can you think of any effects of human activities that could invalidate this assumption in the future?