@article{Carlson_14_11, author = {Carlson, Elwood}, title={{Ages of origin and destination for a difference in life expectancy}}, journal = {Demographic Research}, volume = {14}, number = {11}, pages = {217--236}, doi = {10.4054/DemRes.2006.14.11}, year = {2006}, abstract = {Decomposition of a difference in life expectancies may identify ages at which the difference originates in mortality differences, or may identify age at which the difference results in different values of person-years lived (life table population). This study shows that the two approaches are orthogonally related to each other, and derives an origin-destination decomposition matrix in which summing in one direction produces Andreev's origin-decomposition results, while summing in the other direction produces destination-decomposition corresponding to directly-observed differences in nLx values.}, URL = {https://www.demographic-research.org/volumes/vol14/11/}, eprint = {https://www.demographic-research.org/volumes/vol14/11/14-11.pdf} }