Census Bureau

Population Analysis Spreadsheets (PAS)


PAS consists of 45 spreadsheets for population analysis.

The PAS documentation is contained in the second volume of the manual Population Analysis with Microcomputers.

Instructions for downloading the original Lotus 1-2-3 PAS program files.

Instructions for downloading the Excel PAS program files. New

A brief explanation of the calculation performed by each of the spreadsheets is presented here, grouped by main demographic topics.

Age Structure. There are 11 spreadsheets for the analysis of the age structure of the population.

They are, in alphabetical order:

ADJAGE       Adjusts any population total by sex to a given age structure.

AGEINT       Interpolates between two population age structures.  The user
             can specify if the interpolation is to be linear or
             exponential.  

AGESEX       Analyzes the age reporting in a population age and sex 
             distribution.  Calculates age and sex ratio indices and the
             United Nations age/sex accuracy index.

AGESMTH      Smooths a population age distribution using several methods.

BASEPOP and BPSTRNG  Both spreadsheets prepare the age and sex distribution
             of a population for making a projection.  The difference
             between the two spreadsheets is the smoothing process.  

GRPOP-YB     Makes a graph using population age structures for two or
             three dates, by year of birth of each cohort.

MOVEPOP      Moves the population age distribution pertaining to a 
             specific date to another date.  

OPAG         Distributes open-ended age groups (younger than 80+) into
             5-year age groups up to 80 years and over.  

PYRAMID      Makes an age pyramid by sex, with absolute numbers and
             percentages of the population data.

SINGAGE      Calculates the Whipple, Myers, and Bachi indices of age
             heaping based on enumerated population by single years of age.

Mortality. There are 15 spreadsheets for analyzing the mortality of a population. Some of them were prepared for populations with acceptable data, while others assume that only limited data are available. Although the set of mortality spreadsheets is the largest, we did not include those techniques developed and published by the United Nations in the MORTPAK package. As we mention in the text of the manual, the analysis of mortality may require the use of both, the U.S. Bureau of the Census spreadsheets (PAS) and the MORTPAK package. The PAS spreadsheets related to mortality are:

ADJMX        Adjusts a pattern of mortality rates by age for both sexes 
             combined or for each sex (age-specific death rates or central
             death rates from an empirical or existing life table) for
             obtaining a desired number of deaths in a population.  

BTHSRV       Estimates infant mortality rates based on information on the 
             number of children born during a year prior to the census and 
             the number still alive at the census date. 

E0LGST       Fits a logistic function to values of life expectancies at
             birth for each sex simultaneously, given two or more observed
             values of life expectancies and the two asymptotes of the
             logistic. 

GRBAL        Uses the technique developed by Brass for estimating the
             completeness of reporting of deaths over 5 years of age in 
             relation to a population (Brass, 1975). 

INTPLTM and INTPLTF  Interpolate male and female life tables, respectively,
             between the values of two given sets of "pivotal" life tables.  

LOGITQX and LOGITLX  These two spreadsheets are used for smoothing
             functions of a life table, using logits of the q(x) and l(x) 
             functions of a life table.  
  
LTMXQXAD     Constructs a life table from age-specific death rates or from
             the probabilities of dying between two specific ages.  

LTNTH        Selects a Coale-Demeny model life table, region North, that
             will reproduce a given crude death rate pertaining to a given
             population age structure.  

LTPOPDTH     Constructs and smooths a life table for both sexes or one sex
             at a time, using population and death data.

LTSTH        Same as LTNTH, but using region South of the Coale-Demeny
             model life tables.

LTWST        Same as LTNTH, but using region West of the Coale-Demeny
             model life tables.

PREBEN       Estimates the level of mortality for ages 5 years and above
             during an intercensal period (Preston-Bennett, 1983).  

PRECOA       Uses the technique developed by Preston and Coale for
             evaluating an available age distribution of deaths in
             relation to the population.  

Fertility. There are 13 spreadsheets for analyzing the fertility of a population. Most of them are for populations whose registration of births is not complete.

ADJASFR      Adjusts a given pattern of age-specific fertility rates to 
             reproduce a desired total number of births.

ARFE-2 and ARFE-3  Uses a technique developed by Arriaga for estimating
             fertility rates based on information on the average number
             of children ever born and a pattern of fertility.

ASFRPATT     Provides age-specific fertility rates pertaining to a given
             total fertility rate.  

CBR-GFR      Calculates the crude birth rate and the general fertility
             rate based on a desired total fertility rate. 

CBR-TFR      Estimates the crude birth rate and the total fertility rate,
             based on the general fertility rate.

PFRATIO      Uses the P/F ratio technique, originally developed by Brass, 
             for adjusting reported age-specific fertility rates to the
             "actual" level of fertility.  

RELEFERT     Uses Rele's technique for estimating the gross reproduction 
             rate of a population for one or two 5-year periods prior to
             the census date.

REL-GMPZ     Uses the technique developed by Brass and associates "for the
             evaluation and adjustment of fertility estimates obtained
             from retrospective reports of birth histories or features of
             birth histories."  

REVCBR       Calculates crude birth rates during two or three 5-year
             periods prior to the census date, based on the age structure
             of the population.
 
TFR-GFR      Estimates the total fertility rate and the general fertility 
             rate based on a crude birth rate.

TFRLGST      Fits a logistic function to two or more values of total 
             fertility rates, and interpolates and extrapolates.  It
             requires asymptotic values.

TFRSINE      Fits a sine function to two values of total fertility rates, 
             and interpolates and extrapolates.

Internal migration. There is one spreadsheet that estimates intercensal migration between two areas.

CSRMIG       Provides intercensal net migration estimates between two areas.  

Urbanization and distribution of the population. There is one spreadsheet providing several indices for analyzing the urbanization process in a population.

URBINDEX     Calculates several urbanization and population distribution
             indices.

Other spreadsheets. There are four additional spreadsheets that can be used for several purposes; they are:

CTBL32       Uses a technique for adjusting information in a table to a 
             set of desired marginal totals (totals of rows and/or 
             columns).  

FITLGSTC     Fits a logistic function to three (or a multiple of three)
             observed equidistant values of any index.  It does not need
             asymptotic values.

LOGISTIC     Fits a logistic function to values of any index given two or 
             more observed values of the index and the two asymptotes of
             the logistic.  

SP           Constructs a stable population based on life tables by sex
             and age-specific fertility rates (or the intrinsic growth 
             rate).

INQUIRIES:
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Bureau of the Census
Washington, D.C. 20233-8860
U.S.A.
FAX: (301) 457-3034


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