Do you always win with higher JP?
Solution 1:
Based on my own tests, JP has a direct relationship to meters jumped; there is no random factor. So a higher JP, even by 1, will always yield a higher meter value.
The relationship is nonlinear; it approximately is described by a relationship between the square root of meters jumped and the logarithm of Jump Points. Further research is ongoing to determine if this is the best relationship, and exactly what the coefficients would be for this relationship.