Journal of Population Sciences
Table 2 Transition metrics during growth and senescence phases for 100% turnover of the 100 members of the 1980 U.S. Senate
From: Congressional symmetry: years remaining mirror years served in the U.S. House and Senate
Notation | Description | Formula | Value (%) |
|---|---|---|---|
Growth phase | |||
\({\text{RET}}_{\text{DD}}^{\text{G}}\) | % of 1980 D senators who held onto their party’s seat when first elected | \(\frac{\text{DD}}{(\text{DD}+\text{DR})}\) | 47.4 |
\({\text{RET}}_{\text{RR}}^{\text{G}}\) | % of 1980 R senators who held onto their party’s seat when first elected | \(\frac{\text{RR}}{(\text{RR}+\text{RD})}\) | 27.9 |
\({\text{RET}}_{\text{DD}/\text{RR}}^{\text{G}}\) | Total party seat retention rate | \(\frac{\text{DD}+\text{RR}}{(\text{DD}+\text{DR}+\text{RR}+\text{RD})}\) | 39.0 |
\({\text{FLP}}_{\text{RD}}^{\text{G}}\) | % of 1980 D senators who flipped their party’s seat when first elected | \(\frac{\text{RD}}{(\text{RD}+\text{DD})}\) | 53.4 |
\({\text{FLP}}_{\text{DR}}^{\text{G}}\) | % of 1980 R senators who flipped their party’s seat when first elected | \(\frac{\text{DR}}{(\text{DR}+\text{RR})}\) | 71.4 |
\({\text{FLP}}_{\text{DR}/\text{RD}}^{\text{G}}\) | Total party seat flip rate | \(\frac{\text{DR}+\text{RD}}{(\text{DD}+\text{DR}+\text{RR}+\text{RD})}\) | 61.0 |
Senescence phase | |||
\({\text{RET}}_{\text{DD}}^{\text{S}}\) | % of 1980 D senators whose replacement held onto their party’s seat | \(\frac{\text{DD}}{(\text{DD}+\text{DR})}\) | 50.0 |
\({\text{RET}}_{\text{RR}}^{\text{S}}\) | % of 1980 R senators whose replacement held onto their party’s seat | \(\frac{\text{RR}}{(\text{RR}+\text{RD})}\) | 69.0 |
\({\text{RET}}_{\text{DD}/\text{RR}}^{\text{S}}\) | Total party seat retention rate | \(\frac{\text{DD}+\text{RR}}{(\text{DD}+\text{DR}+\text{RR}+\text{RD})}\) | 58.0 |
\({\text{FLP}}_{\text{DR}}^{\text{S}}\) | % of 1980 D senators whose seats were flipped to R by their successor | \(\frac{\text{DR}}{(\text{DR}+\text{RR})}\) | 50.0 |
\({\text{FLP}}_{\text{RD}}^{\text{S}}\) | % of 1980 R senators whose seats were flipped to D by their successor | \(\frac{\text{RD}}{(\text{RD}+\text{DD})}\) | 31.0 |
\({\text{FLP}}_{\text{DR}/\text{RD}}^{\text{S}}\) | Total party seat flip rate | \(\frac{\text{DR}+\text{RD}}{(\text{DD}+\text{DR}+\text{RR}+\text{RD})}\) | 42.0 |
Complete two-transition cycle | |||
\({\text{CPLT}}_{\text{DDD}}^{\text{F}}\) | % of 1980 D senators who replaced and were replaced by D | \(\frac{ {\text{DDD}} }{{\text{TOT}}}\) | 12.0 |
\({\text{CPLT}}_{\text{RRR}}^{\text{F}}\) | % of 1980 R senators who replaced and were replaced by R | \(\frac{ {\text{RRR}} }{ {\text{TOT}} }\) | 8.0 |
\({\text{CPLT}}_{\text{DDD}/\text{RRR}}^{\text{F}}\) | % of 1980 senators who replaced and were replaced by member of same party | \(\frac{\text{DDD}+\text{RRR}}{\text{TOT}}\) | 20.0 |