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Application of Mathematical Models in Population Predication

机译:数学模型在人口预测中的应用

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The population is considered as an important controlling index of urban planning and the land use planning. The rational population predication is the foundation of developing a feasible national economic plan or a regional development planning. The paper introduces three mathematical models—Malthus model, Logistic model and GM (1.1) model, with their applications in population predication, which include the establishment, the solution of parameters, the precision testing and the service condition of these models. Basing on the time series of the population of “Gansu Yearbook”, the paper respectively uses three models to predict population from 2006 to 2020 in Gansu province. The results show that all the three models have high levels on the fitting precision testing and similar values on prediction. So, the paper takes an average of three models predicting value as the population prediction result of Gansu province. The population will be 27506200 persons in 2010, 28473900 persons in 2015, 29418200 persons in 2020.
机译:人口被认为是城市规划和土地利用规划的重要控制指标。合理的人口预测是制定可行的国民经济计划或区域发展计划的基础。本文介绍了三种数学模型:Malthus模型,Logistic模型和GM(1.1)模型,及其在人口预测中的应用,包括这些模型的建立,参数解,精度测试和使用条件。基于《甘肃省年鉴》人口的时间序列,分别采用三种模型对甘肃省2006-2020年的人口进行了预测。结果表明,这三个模型在拟合精度测试上均具有较高水平,在预测上具有相似的值。因此,本文采用三种预测值的平均值作为甘肃省的人口预测结果。人口将在2010年为27506200人,在2015年为28473900人,在2020年为29418200人。

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