How do lead climbing falls add up over time based on their fall ratings?
For example, the rope I have is rated to 8 UIAA falls. A UIAA fall is a fall factor of 1.77. Lets say over the course of a year I take 28 falls of a factor or 0.5, that adds up to about 8 UIAA falls. Does this mean the rope is close to breaking? (28Falls * 0.5Factor = 8Falls * 1.77Factor)
Basically is this a linear relationship. Will the ropes always break around the same number of accumulated fall factors? (Num_FallsFall_Factor = Num_FallsFall_Factor)
My gut says that it probably isn't linear, but I would also be interested to know if any research has been done on this.