Step 1 :This problem can be solved using the formula for the sum of a geometric series, which is \(S = a \frac{1 - r^n}{1 - r}\), where \(a\) is the first term, \(r\) is the common ratio, and \(n\) is the number of terms.
Step 2 :In this case, the first term \(a\) is the initial amount of carbon dioxide emissions, which is 70,000 kilotons.
Step 3 :The common ratio \(r\) is 0.98, because the emissions decrease by 2% each year.
Step 4 :The number of terms \(n\) is 14, because the agreement lasts for 14 years.
Step 5 :Substituting these values into the formula, we get \(S = 70000 \frac{1 - (0.98)^{14}}{1 - 0.98}\).
Step 6 :Solving this equation gives us the total amount of carbon dioxide emissions over the 14 year period.
Step 7 :The final answer is approximately \(\boxed{862253}\) kilotons of carbon dioxide.