does anyone know where I can find a calorie burn calculator that takes into consideration ambient temperature?

I regularly ride my bicycle in temperatures ranging from the single digits F to the mid 20s. I know from previous medical training that exercise in cold temperatures results in increased calorie burn. I am hoping to find a formula that will allow me to accurately track my calorie expenditure on those days. I am 56, 5' 10', 200 lbs, ride at 12 to fourteen miles per hour over uneven ground for 65 to 90 minutes daily.