Empirical prediction intervals for county population forecasts

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Publication Date: 
2009
Pages: 
39 pages
Author(s): 
Rayer, Stefan; Smith, Stanley K.; Tayman, Jeff

Population forecasts entail a significant amount of uncertainty, especially for long-range horizons and for places with small or rapidly changing populations. This uncertainty can be dealt with by presenting a range of projections or by developing statistical prediction intervals. The latter can be based on models that incorporate the stochastic nature of the forecasting process, on empirical analyses of past forecast errors, or on a combination of the two.

Population forecast accuracy: Does the choice of summary measure of error matter?

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Publication Date: 
2007
Pages: 
22 pages
Author(s): 
Rayer, Stefan

Population projections are judged primarily by their accuracy. The most commonly used measure for the precision component of accuracy is the mean absolute percent error (MAPE). Recently, the MAPE has been criticized for overstating forecast error and other error measures have been proposed. This study compares the MAPE with two alternative measures of forecast error, the Median APE and an M-estimator. In addition, the paper also investigates forecast bias.

An evaluation of subcounty population forecasts in Florida

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Publication Date: 
2008
Pages: 
88 pages
Author(s): 
Smith, Stanley K.; Rayer, Stefan

Population forecasts for subcounty areas are used for a wide variety of planning and budgeting purposes. Given the importance of many of these uses, it is essential to investigate which techniques and procedures produce the most accurate forecasts. In this report, we describe several simple trend extrapolation techniques and several averages and composite methods based on those techniques. We evaluate the precision and bias of forecasts derived from these techniques using data from 1970–2005 for subcounty areas in Florida.

An evaluation of population projection errors for census tracts

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Publication Date: 
1995
Pages: 
8 pages
Author(s): 
Smith, Stanley K.; Shahidullah, Mohammed

Population projections are widely used in both the public and private sectors for planning, budgeting, and analysis. For these purposes, projections are often needed for small areas such as census tracts, zip code areas or traffic analysis zones. Population size, growth constraints, shifting boundaries, and data availability create special problems for small-area projections, however, and very little is known about their forecasting performance.

The relationship between the length of the base period and population forecast errors

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Publication Date: 
1990
Pages: 
9 pages
Author(s): 
Smith, Stanley K.; Sincich, Terry

The base period of a population forecast is the time period from which historical data are collected for the purpose of forecasting future population values. The length of the base period is one of the fundamental decisions made in preparing population forecasts, yet very few studies have investigated the effects of this decision on population forecast errors. In this article the relationship between the length of the base period and population forecast errors is analyzed, using three simple forecasting techniques and data from 1900 to 1980 for states in the United States.

Tests of forecast accuracy and bias for county population projections

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Publication Date: 
1987
Pages: 
13 pages
Author(s): 
Smith, Stanley K.

This article deals with the forecast accuracy and bias of population projections for 2,971 counties in the United States. It uses three different population projection techniques and data from 1950, 1960,1970, and 1980 to make two sets of 10-year projections and one set of 20-year projections. These projections are compared with census counts to determine forecast errors. The size, direction, and distribution of forecast errors are analyzed by size of place, rate of growth, and length of projection horizon.

Population projections

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Publication Date: 
2004
Pages: 
129 pages
Author(s): 
George, M. V.; Smith, Stanley K.; Swanson, David A.; Tayman, Jeff

This book chapter starts by discussing the major producers of international, national, and subnational projections. Next, it provide a description of the methods and materials used in preparing three basic types of population projections: (1) trend extrapolation; (2) the cohort-component method; and (3) structural modeling. The authors briefly discuss methods for preparing related projections on such topics as school enrollment, employment, and households.

Further thoughts on simplicity and complexity in population projection models

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Publication Date: 
1997
Pages: 
9 pages
Author(s): 
Smith, Stanley K.

This article is a review of--and response to--a special issue of Mathematical Population Studies that focused on the relative performance of simpler vs. more complex population projection models. I do not attempt to summarize or comment on each of the articles in the special issue, but rather present an additional perspective on several points: definitions of simplicity and complexity, empirical evidence regarding population forecast accuracy, the costs and benefits of disaggregation.

An empirical analysis of the effect of length of forecast horizon on population forecast errors

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Publication Date: 
1991
Pages: 
14 pages
Author(s): 
Smith, Stanley K.; Sincich, Terry

Many studies have found that population forecast errors generally increase with the length of the forecast horizon, but none have examined this relationship in detail. Do errors grow linearly, exponentially, or in some other manner as the forecast horizon becomes longer? Does the error-horizon relationship differ by forecasting technique, launch year, size of place, or rate of growth? Do alternative measures of error make a difference? In this article we address these questions using two simple forecasting techniques and population data from 1900 to 1980 for states in the United States.

Stability over time in the distribution of population forecast errors

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Publication Date: 
1988
Pages: 
14 pages
Author(s): 
Smith, Stanley K.; Sincich, Terry

A number of studies in recent years have investigated elnpirical approaches to the production of confidence intervals for population projections. The critical assumption underlying these approaches is that the distribution of forecast errors remains stable over time. In this article, we evaluate this assumption by making population projections for states for a number of tilne periods during the 20th century, comparing these projections with census enumerations to deter~nine forecast errors, and analyzing the stability of the resulting error distributions over time.

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