Table 8.

Migration measures used for validation. In this table, y_ij 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.

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	$\frac{y_{ij}}{{\sum }_j{y}_{ij}}\mathrm{o}\mathrm{r}\frac{y_{ij}}{{\sum }_i{y}_{ij}}$	32,698	International migration flows to and from selected countries: The 2015 revision. United Nations Population Division
Emigration Rate	$\frac{{\mathrm{\Sigma }}_i{y}_{ij}}{p_i}$	155	International migration flows to and from selected countries: The 2015 revision. United Nations Population Division
Immigration Rate	$\frac{{\mathrm{\Sigma }}_i{y}_{ij}}{p_j}$	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