Population Projection is essential to policy planning, especially to social welfare. The cohort component method is the most popular method for population projection. The future trends of fertility, mortality, and immigration are often determined by the experts' opinions, which are also known as scenario forecasts, and then plugged into the cohort component method. However, the projections derived via the experts' opinions are deterministic and do not have implications in probability. To let the population projections possess the meaning of probability by renovating the scenario forecasts, researchers have developed three types of probabilistic forecasting methods, including the stochastic forecast method, random scenario method, and ex post method. In this paper, we study the block bootstrap method, a computer simulation method and also a stochastic forecast method, and evaluate the possibility of applying this method in population projection. Specifically, employing data from Taiwan, the U.S., Japan, and France, we use cross-validation and computer simulation to explore the limitations of the block bootstrap, and check if this method can produce reasonable projections. Based on the empirical results, we found that the block bootstrap is a feasible method and can produce stable population projections. In addition, we also study the ex post method proposed by Stoto (1983) and give the probability implications to projections from the Council for Economic Planning and Development (a scenario forecast). [ABSTRACT FROM AUTHOR]