Gross full-quarter worker flows are measured using the Full-Quarter Worker Reallocation Rate:

`FW\R\R_{agkst} =\ (FA_{agkst} + FS_{agkst})*(2/(F_{agkst} + F_{agkst-1}))`

where

• `FA_{agkst} \equiv` full-quarter accessions (new hires plus recalls)
• `FS_{agkst} \equiv` full-quarter separations (quits, layoffs, other)
• `F_{agkst} \equiv` full-quarter employment in period `t`
• `F_{agkst-1} \equiv` full-quarter employment in period `t-1`

`FW\R\R` measures total accession and separation flows as a proportion of average full-quarter employment in the age, gender, industry and state. The `FW\R\R` is a symmetric growth rate designed to approximate the logarithmic change over the time period (one quarter). In addition, the `FW\R\R`, can be expressed as the sum of its inflow and outflow components, the distinct accession and separation rates are defined, respectively, as:

• `FAR_{agkst} = \ FA_{agkst}*(2/(F_{agkst} + F_{agkst-1}))`
• `FSR_{agkst} = \ FS_{agkst}*(2/(F_{agkst} + F_{agkst-1}))`

Accessions and separations satisfy the net full-quarter job flow (`FJF_{agkst}`) identity:

`FJF_{agkst} \equiv \ FA_{agkst} - FS_{agkst}`

where the net change in full-quarter is defined as `FJF_{agkst} = F_{agkst} -\ F_{agkst-1}`