Visual Demography

Interactive instruments for exploring formal demography: life tables, stable population theory, projection, kinship, and multistate models — with the mathematics made visible.
vis·u·al AmE /ˈvɪʒ.u.əl/ · BrE /ˈvɪʒ.u.əl/ adjective Relating to seeing or sight; perceived or presented in a form the eye can read.
for·mal de·mog·ra·phy AmE /ˈfɔːr.məl dɪˈmɑː.ɡrə.fi/ · BrE /ˈfɔː.məl dɪˈmɒɡ.rə.fi/ noun The study of demographic quantities — fertility, mortality, migration, age structure, and population growth — as a self-contained system, through the internal relationships among them and apart from their social, economic, or biological causes.

The mathematics of population, made to explore.

Visual Demography works in that formal tradition to build interactive pieces for learning. Each piece exposes the parameters of a single model (a life table, a stable population, a projection, a kinship network) so that changing an assumption changes the result on screen. Inputs may be observed, stylized, or reconstructed, and each companion names which.

These are explanatory instruments, not research findings. They apply standard demographic methods to show how rates and structures propagate through formal models. Stylized or reconstructed inputs are flagged on each companion page.

Demographic Flux

Demographic Flux — Lexis surface showing cohort age structure to 2100, with warm–cool gradient encoding the shift from young to aging populations

Cohort-component Lexis simulation from observed HMD/HFD country profiles — stylized forward scenario, not recorded national history after the base year.

Choose a country profile, then explore how the observed base-year age structure and vital rates evolve under Lee–Carter mortality and a parametric fertility path; strip panels trace birth and death rates together, crude growth rate, and the first demographic dividend.

Explaining the differences in life expectancies

Two both-sex survivorship curves for Sweden in 1751 and 2019 with the area between them shaded, above a profile of the years each age contributes to the 44.6-year difference

Arriaga's decomposition of a difference in life expectancy into the contribution of each single year of age, drawn as mortality replaced age by age from both ends of the age axis.

Choose any two of 394 observed HMD both-sex life tables — the same year in two countries for a geographic difference, or the same country in two years for a temporal one — and watch the gap resolve age by age. Contributions sum to the whole difference exactly, and the closure error printed under the panel is floating-point noise.

Which causes account for a difference in life expectancy

Cause-total bars beside a sixteen-by-nineteen age heatmap for the United States in 2023 and France in 2023, a 4.364-year difference in both-sex period life expectancy constructed from the Human Cause-of-death Database reconstructed short list. Heart diseases, external causes and nervous system disease lead, while neoplasms runs the other way. Rust marks where the United States is ahead; blue marks where France is ahead.

Arriaga's decomposition of a difference in both-sex period life expectancy, constructed here from the Human Cause-of-death Database (HCD) reconstructed short list, into sixteen cause groups: each bar is that row's total on a nineteen-band heatmap.

Either country-year can be anything in the list of 795. Choose the same year in two countries and the differential is geographic; choose the same country in two years and it is temporal. Life expectancy is built here from the sixteen cause rates and HCD exposures. The Human Mortality Database (HMD) table is a check. The sixteen cause totals add to that constructed difference exactly.

WPP total fertility, edition by edition

Brazil's period total fertility rate as the 2024 edition of World Population Prospects (WPP 2024) estimated and projected it: the estimates fall from 6.1 children per woman in 1950 to 1.6 in 2023 and the crimson projection stays near 1.6 to 2100, with the previous edition's estimates dashed, the sixteen earlier editions' projections in grey, and a dotted line at 2.1.

The period total fertility rate of each country or area as the editions of the UN's World Population Prospects, 1990 to 2024, estimated it and, in the medium variant, projected it.

Choose any of 243 countries or areas. Played edition by edition, the piece shows how each edition revised the estimates and the projection of the one before. A change in the estimates is the UN revising what fertility was; a change in the projection is the UN revising what it expects fertility to do.