Table 8 Migration measures used for validation. In this table, yij is a general term for a bilateral migration flow from either an estimation method or the equivalent reported data. All numbers except the Proportion are in units of individuals per five years.

From: Bilateral international migration flow estimates for 200 countries

Measure

Measure Calculation (Single Period)

Reported Flow Observations (All Periods)

Reported Flow Data Source

Count

y ij

32,698

International migration flows to and from selected countries: The 2015 revision. United Nations Population Division

Natural Logarithm of Count

logyij

32,698

International migration flows to and from selected countries: The 2015 revision. United Nations Population Division

Proportion

\(\frac{{y}_{ij}}{{\sum }_{j}{y}_{ij}}\,{\rm{o}}{\rm{r}}\,\frac{{y}_{ij}}{{\sum }_{i}{y}_{ij}}\)

32,698

International migration flows to and from selected countries: The 2015 revision. United Nations Population Division

Emigration Rate

\(\frac{{{\rm{\Sigma }}}_{i}{y}_{ij}}{{p}_{i}}\)

         155

International migration flows to and from selected countries: The 2015 revision. United Nations Population Division

Immigration Rate

\(\frac{{{\rm{\Sigma }}}_{i}{y}_{ij}}{{p}_{j}}\)

         172

International migration flows to and from selected countries: The 2015 revision. United Nations Population Division

Net Migration Count

\(\sum _{i}\,{y}_{ij}\,-\,\sum _{j}{y}_{ij}\)

     1000

World Population Prospects: The 2017 Revision. United Nations Population Division