The purpose of this research paper is to develop a mathematical model to predict population figures. Population projections are simply mathematical formulas that use current populations and rates of growth to estimate future populations. Under the high fertility rate projection, which assumes that high fertility countries will stabilize at 2. Among the possible alternative curve fitting methods like linear, geometric, exponential, and logistic, the most widely used mathematical model for. Calculation or prediction of some future events as a result of study and analysis of available records or data is the population forecasting 3. Researchers, planners, and policymakers use population projections for planning, research, and development applications. Population forecasting american planning association. Demographers project the population of an entire country or a specific region, province, or state using the component method. We cannot produce a set of standard recommendations for every circumstance, as the estimation and projection process will need to be adapted to accommodate individual requirements. Forecasting population methods of forecasting population. Whilst the census is crucial for resource allocation and planning, because it is carried out only every ten years, other methods are required for planning in the intervening years.
Introduce basic concepts related to population projections including fertility, mortality, and migration explain how population projections can be. Mathematical modeling for population projection and. If the population of a town is plotted with respect to time, the curve so obtained under normal conditions shall be as shown in fig. It requires calculation of ratio of locals to required population in a series of census years. Therefore, any survey of the field in the confines of a chapter must be selective. Define and distinguish between a population projection and a population forecast. Population projection methods and techniques pen2print. Apply simple mathematical models of growth to extrapolate total population. Under the medium fertility rate projection, which assumes that the. Methodology and assumptions for the population projections.
Many equations are used to project future populations. We now outline the uns current deterministic population projection method. This projection tool allows planners to examine the future needs of different segments of the population including the needs of children, women in their reproductive years, persons in the labor force, and the. This helps in verifying the population numbers and thus providing a more. Mathematical techniques of projection fit a line to past population values and extend that line into the future. Meeting the future demand and upgrading the infrastructure requires insight about the population growth. Geometrical progression method incremental increase method changing rate of increase method annual rate of increase method graphical method example population prediction is a very important aspect in environmental engineering that helps in determination of certain factors that. A slightly improved method is the compound rate of growth method, which can be computed with the help of the following formula. Projection methods projections are an extrapolation of historical data population versus time into the future. The models also use projections of economic variables from ihs global inc. This working paper discusses the methodology and assumptions used to develop the recently released projections of the population of the united states from 1999 to 2100. In this paper we describe the statistical methods used by statistics iceland for annual, short term and.
The early growth of the city is shown by curve jk at an increasing rate of dpdt. There are three methods of population projection mathematical method, growth component method, and economic method. This technique, involves the graphical projection of the past population growth curve, continuing whatever trends the historical data indicate. I a computer program for population projections using the component method, population division working paper esalpiwp. Forecasting of population can be accomplished with different mathematical methods by using present and past population records that can be. In mathematics, a projection is a mapping of a set or other mathematical structure into a subset or substructure, which is equal to its square for mapping composition or, in other words, which is idempotent. Views or opinions expressed herein do not necessarily repre.
The methodology involves dealing with different key. Population projection and adjustment methodologies for household sample surveys. Demographic research a free, expedited, online journal. Incremental increase, decreasing growth rate and logistic curve method. This method creates projections for each cohort, or range of years by individually calculating each component of population change, birth, death, and net migration.
Yahaya, ahmad abubakar1, philip moses audu2 and hassan sheikh aisha3 department of mathematic, federal polytechnic, bida. Population projection forms an integral part of any study or activity dealing with providing services to people. Population projection and adjustment methodologies for. Part 1 is an introduction to population projections. Science report methods of estimating population and household projections 5 important as the results themselves. Some methods provide estimates only for the total population, whereas. Mathematical models in demography and actuarial mathematics robert schoen hoffman professor of family sociology and demography, pennsylvania state university, usa keywords. The accuracy of population projections is generally considered directly proportional to the size of the existing population and the historical rate of growth, and inversely proportional to the length of the time projection. Handout for part 1 introduction to population projections. At times, to get better and more accurate figures combination of 2 or more methods may also be adopted. Population projection methods san jose state university. The objectives of part 1 of the course are as follows. Life table, marriage squeeze, multistate population, population momentum, population projection, stable population, twosex population model contents 1.
Advances in mathematical models for population projections. And this conclusion should be quite obvious from a common sense. A population projection is a mathematical equation that calculates the estimated growth rate or change of future populations based on current populations. Advances in mathematical models for population projections michael a. The first part of the course is an introduction to population projections.
Planning for existing population can be done by obtaining population data from various sources. If the logistics curve is expressed in terms of reciprocal population. Nt represents the number of people at a future time. Governments use population projections for planning for public health, preparedness, housing, assistance, and school and hospital costruction. Its main objective is to facilitate the making of future population estimates by sex and age for as many countries. This method assumes that the growth, as a function of time, follows some logical mathematical relationship. Methods the projectio ns were produced using a cohort component method beginning with an estimated base population for july 1, 2016. Methods of population estimation and projection health. Manual iii methods for population projections by sex and age.
The curve of past population of the city under consideration is plotted on the same graph. There are number of methods used for projecting the population figures. Methods of estimating population and household projections. Very elaborate methods have been invented for specific purposes. Although the two types are somewhat interchangeable because mathematical methods can be plotted and graphical data can be described mathematically. A guide to global population projections demographic research. Since notesteins 1945 projection, the cohortcomponent method has become.
Mathematical demography is a specialization in demography concerned with t he articulation, analysis, and empirical application of theoretical models or representations of. According to this, method it is assumed that the rate of increase of population growth in a community is proportional to the present population. Ratio method of fore casting is based on the assumption that the population of a certain area or a city will increase in the same manner to a larger entity like a province, or a country. The mathematical methods, used in the early attempts to project population, involve the charting of past and present population. Contents definition of population projection arithmetic progression method. Use the cohort component method when population projections by age and sex are needed for 5 years, 10 years or longer periods of time.
For the first time, projection results include a break on nativity, defined dichotomously by the presence or. Informationwpp2010 special20aggregates2020list20of20groupings. Projection of the trend line using any of the technique and. Both methods are generally based on an idealized model of exponential. In this method, the components of population change are projected separately for each birth co hort persons born in a given year based on.
Population projection, in the field of demography, is an estimate of a future population in contrast with intercensal estimates and censuses, which usually involve some sort of field data gathering, projections usually involve mathematical models based only on preexisting data may be made by a governmental organization, or by those unaffiliated with a government. This method is based on the hypothesis that the rate of population growth is constant. An everyday example of a projection is the casting of shadows. The new series includes projections of the population by single year of age, sex, race, hispanic origin, and nativity. This method includes comparison of the projected growth to the recorded growth of other cities of larger size. This method of forecasting population is used in those cities where population is more or less established. At a result of the regional growth forecast process, the regioncounty level population projections are made available by major demographic characteristics e. Methodology, assumptions, and inputs for the 2017 national. To introduce the most important concepts and methods used for making population projections. However, if we consider the population growth only during the last 100 years or so see the.
This chapter focuses on describing the elements of mathematical demography that are key foci in this field of study. For the first time, projection results include a break on nativity, defined dichotomously. The projections presented in this report are based on assumptions for the fertility rate, internal migration, net immigration, and mortality rate from the census bureau. The topics covered in a survey of mathematical demography can be numerous and diverse. Page 2 of 4 b births that occurred during the time interval d deaths that occurred during the time interval bd natural increase. The basic model for geometric change in population size is. Application of the cohort component model to development. The restriction to a subspace of a projection is also called a projection, even if the idempotence property is lost.
The mathematical method is the earliest one to be used for population projection. Method of population forcast and population projection. A survey of census bureau population projection methods. Different methods are used depending on the need and nature of area for which projection is made.
The low total population projection variant is thus obtained from. The population tends to grow according to a logistic or sshaped curve, starting with a low rate, followed by a high rate and then at a progressively lower rate to a saturation population. These are simple or direct methods since they operate with past population records and take no account of the components of change. This historic pas report offers a primer on population forecasting for planners. Mathematical modeling for population projection and management. Therefore, malthus interpretation of his mathematical model 1. There are two mathematical methods to forecast population.