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Census Bureau’s Interim and Final State Projections. Population Projections Branch Population Division U.S. Census Bureau. Interim State Population Projections 2004 - 2030. Introduction. Rationale for interim population projections Section outline Methodology Assumptions
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Census Bureau’s Interim and Final State Projections Population Projections Branch Population Division U.S. Census Bureau
Introduction • Rationale for interim population projections • Section outline • Methodology • Assumptions • Proposed products
Methodology • Cohort Component Method • Project Births, Deaths, Internal Migration, and International Migration separately • Basic Formula: • P1 = P0 + B - D + IIM - IOM + NIM • Where, • P0 = Base year population • B = Projected births • D = Projected deaths • IIM = Projected internal in-migration • IOM = Projected internal out-migration • NIM = Projected net international migration
Assumptions • Fertility: • Fertility rates held constant, with adjustment to fit estimated births from 2001 to 2003 • Mortality: • Mortality rates held constant, with adjustment to fit estimated deaths from 2001 to 2003 • Internal migration: • Follow the IRS migration trends in region-to-state and state-to-region migration flows. • Hold the composition of 1995-2000 census migration flows constant. • International migration: • Follow the current international trends in states • Hold constant the composition of 1995-2000 immigrant population in the state
Proposed Products • Highlights (Press release) • Summary tables with statistics such as median age, sex ratio, dependency ratio and graphs such as pyramids • Detailed age, and sex for all states, year by year (2004-2030)
Introduction • Challenges to new projections • Data consistency issues between Census 2000 and previous censuses • Data consistency issues between census data and other data sources such as NCHS • Section outline • Methodology • Input data • Assumptions • Proposed products
Methodology • Cohort Component Method • Project Births, Deaths, Internal Migration, and International Migration separately • Basic Formula: • P1 = P0 + B - D + IIM - IOM + NIM • Where, • P0 = Base year population • B = Projected births • D = Projected deaths • IIM = Projected internal in-migration • IOM = Projected internal out-migration • NIM = Projected net international migration
Methodology • To project the demographic details, the formula should be expanded as follows: • 1 Pi,j,k = 0 P(i-1),j,k + Bj,k - Di,j,k + IIMi,j,k - IOMi,j,k + NIMi,j,k • Where, • i = age ( 0 - 85 and over) • j = sex (male, female) • k = race/Hispanic origin (White, Black, American Indian, Asian, Hawaiian, and multi-race by Hispanic origin, a total of 12 groups)
Input Data • Starting point: • Census 2000 for base year and denominator of rates • Births 1999, 2000, 2001 for fertility rates • Deaths 1999, 2000, 2001 for mortality rates • Internal migration: • IRS annual migration flows data: 1975 -2003 • Census migration flows data: 1995-2000 • Foreign born population entering U.S. : 1995 - 2000 • Population estimates and component of change: 2001 to 2004 Age, sex, race, and Hispanic origin for all data items except IRS
Input Data • Projection years: • Projected national fertility rates • Projected national survival rates • Projected IRS region-to-state and state-to-region migration rates • Projected national population • Projected national births • Projected national deaths • Projected national international migration • Change in state fertility rates: 1990-2000 • Change in state survival rates: 1990-2000
Base Population • Use modified Census 2000 race data (31 race combinations) • The “some other race group” was eliminated • http://eire.census.gov/popest/data/national/tables/files/MR(31)-CO.txt • Tabulate “Minimum and Maximum” race groups • Convert Census 2000 race groups to 1990 race groups, using equal fraction assignment procedure • State population estimates 2004
Fertility Input Data • Births by age and race of mother from NCHS: • 1989, 1990, 1991, 1999, 2000, and 2001 • Bridged census 2000 female 15-49 by race • Age-specific fertility rates based on 1990 race only for 6 race groups • (1) Non-Hispanic total • (2) Non-Hispanic white • (3) Non-Hispanic black • (4) Non-Hispanic American Indian • (5) Non-Hispanic Asian and Pacific Islander • (6) Hispanic origin total
Mortality Input Data • Deaths by age, sex, race and Hispanic origin • 1989, 1990, 1991, 1999, 2000, and 2001 • Census 2000 by single years of age (0 ~ 100+), sex, race, and Hispanic origin (Bridged race groups) • Mortality rates by race and Hispanic origin • Same as fertility rates by race, only prepare 6 race / Hispanic groups and apply the mortality rates to appropriate race groups • Prepare complete life tables and survival rates • Development of mortality changes by state (1990-2000)
Internal Migration Input Data • IRS region-to-state and state-to-region annual migration flows (1975 – 2003 time series): • For projecting total internal migration into the future • Census 2000 region-to-state and state-to-region migration flows between 1995 and 2000 by age, sex, race, and Hispanic origin • For projecting the composition of internal migration by age, sex, race, and Hispanic demographic detail, controlled to projected IRS migration flows • Data issues about 2,550 state-to-state migration flows • Many small flows • Empty data cells by demographic detail
International Migration Input Data • Estimates of net international migration rates by state 2001-2004 • Foreign-born population entering the U.S. by age, sex, race, and Hispanic origin, 1995-2000 • Projected national net international migration by age, sex, race and Hispanic origin
Assumptions • Fertility: • Follow national trends, adjusted by state-specific change in fertility rates (1990-2000) • Mortality: • Follow national trends, adjusted by state-specific change in mortality rates (1990-2000) • Internal migration: • Follow the IRS migration trends in region-to-state and state-to-region migration flows. • Hold the composition of 1995-2000 census migration flows constant. • International migration: • Follow current international migration trends in the states and determined by projected net international migration for the U.S. • Hold constant the composition of 1995-2000 immigrant population in the state
Fertility Rate Projection • Population base • Female 14-48+ base year population • Female 15-49+ expected survived population • Project fertility rates • Starting age-specific fertility rates… (f(t-1)) • Projected national total fertility rates…(F(t)) • Ratio of state total fertility rate change to national total fertility change… [f(2000)/f(1990)]/[F(2000 /F(1990)] • Projection formula: • f(t) = f(t-1) + (F(t) - F(t-1)) * [(f(2000)/f(1990)) / (F(2000)/F(1990))]
Survival Rate Projection • Project survival rates • Starting age-specific survival rates… (s(t-1)) • Projected national survival rates…(Sn(t)) • Adjustment factor – Ratio of state-specific survival rate change to national survival rate change, using one minus probability of dying (1-Qx) by 5-year age… [s(2000)/s(1990)] / [Sn(2000)/Sn(1990)] • Projection formula: • s(t) = s(t-1) + (Sn(t) – Sn(t-1)) * [(s(2000)/s(1990)) / (Sn(2000)/Sn(1990))]
Projection of IRS Migration Flows • Input time series (28 data points): • 204 region-to-state migration rates (1975-1976 to 2002-2003) • 204 state-to-region migration rates (1975-1976 to 2001-2003) • ARIMA time series projections of first difference in natural log of migration rates for the first 5 years (Using SAS program) • Interpolation from 5th year projected migration rates toward mean in the next 20 years • Hold the mean constant for remaining projection years
International Migration Projection • Project total net international migration by state based on the estimates of net international migration, 2000-2004 • Project composition of net international migration • Population base • Proportion of foreign-born population • Control to projected total net international migration • Control to projected national international migration for the U.S.
Proposed Products • Detailed age, sex, race, and Hispanic origin for all states, year by year (2005-2030) • Detailed age, sex, race, and Hispanic origin with components annually for individual states • Summary tables with statistics such as median age, dependency ratio, sex ratio, etc. and graphs such as population pyramids.