Final answer:
12-year cicadas would face their predators every 12 years, likely coinciding with a cycle of their predators due to the 2-year cycle of the predators. Life might be better for 13-year cicadas as their prime number life cycle would lead to less frequent encounters with predators. Predator-prey dynamics significantly influence the evolution and survival strategies of species.
Step-by-step explanation:
Predator-Prey Cycles and Cicada Life Spans:
12-year cicadas would face their predators every 12 years, as the cicadas emerge in sync with their own life cycle. However, if the predators have a 2-year cycle, there will be predator populations every 2 years. This means that every 12 years, when the cicadas emerge, they will coincide with a cycle of their predators.
Life might indeed be better for 13-year cicadas compared to 12-year cicadas. The reason is related to predator-prey dynamics and the cycles in which they interact. The number 13 is a prime number, which does not divide evenly by 2 (or any other number except 1 and itself), making the intersection of cicadas and predator cycles less frequent and thus reducing the predation pressure on the 13-year cicadas. On the other hand, the 12-year cycle is divisible by several numbers, including 2, which means that the 12-year cicadas would emerge more often in conjunction with their predator's cycle.
Predator-prey dynamics are a critical aspect of evolutionary biology and ecological studies. These dynamics can influence the evolution of both the predator and prey species. As the 12-year cicadas and their predators go through generations, the timing of their cycles can have profound effects on their populations and survival strategies.