Demographic stochasticity refers to the random variation in population growth due to the discrete nature of births and deaths. In small populations, this randomness becomes more pronounced because the effect of each individual birth or death can significantly affect the overall population size.
Option (A), while true that changing weather conditions can affect reproduction, refers to environmental stochasticity, not demographic stochasticity.
Option (C) describes the effect of density dependence, where the birth rate decreases as population density increases, but it does not directly refer to random variation in population growth.
Option (D) refers to time lags in response to environmental changes but is unrelated to random variation in population dynamics.
Thus, (B) is the correct answer, as it directly addresses the random fluctuations in population size due to the discrete events of births and deaths.