The population of whirligig beetles in a lake grows or declines exponentially, i.e., \( N(t) = N(0)e^{rt} \), where \( N(t) \) is the population size at time \( t \), \( N(0) \) is the initial population size, and \( r \) is the per capita rate of population change, occurring only due to birth and death.
A researcher tracks population sizes for a year and finds the following:

Assuming that the individual birth rates remain constant throughout the year and only death rates are affected, which one or more of the following statements is/are true?