The development of Grey Verhulst toolbox and the analysis of population saturation state in Taiwan-Fukien

The principle of population prediction is one of the most important policies for developing countries, and population numbers are a basis for the formula used by the government with very limited resources. If the population increases significantly, or growth is reversed, then the entire balance of the ecology is seriously affected. The article initially focuses on the use of the Grey Verhulst method trying to construct saturation numbers for the population. A toolbox is also developed to provide a very convenient way of generating a great numerical analysis of a real case. Finally, an example is given to predict saturation numbers of the population numbers in Taiwan-Fukien, and the results tell us it will not exceed 23 million. Based on the above methods, the full results not only provide the saturation numbers, but also can become the reference making policy for the best layout of the population source.