Table 2 A 5-interval projection in a hypothetical three-state (path) membership model with states unaffiliated (U), joined (J), and active (A)
From: Rates, intrinsic linkages, and multistate population dynamics
| Fraction in state (f) | z2t | Rates of transfer (Eqs. (20)–(21)) | ||||||
|---|---|---|---|---|---|---|---|---|
| Time | U | J | A | m UJ | m JU | m JA | m AJ | |
| A. Interval by interval calculations (Eq. (1)) | ||||||||
| 0 | .85 | .10 | .05 | – | – | – | – | – |
| 1 | .82925 | .10985 | .06090 | .70 | .01317 | .06586 | .08474 | .12106 |
| 2 | .81243 | .11769 | .06988 | .71 | .01335 | .06674 | .08291 | .11678 |
| 3 | .79876 | .12391 | .07733 | .72 | .01357 | .06785 | .08026 | .11147 |
| 4 | .78759 | .12885 | .08356 | .73 | .01384 | .06921 | .07698 | .10545 |
| 5 | .77844 | .13275 | .08881 | .74 | .01419 | .07093 | .07318 | .09890 |
| B. Stable population values (τj5) implied by time 5 rates | ||||||||
| 5 | .74184 | .14837 | .10979 | |||||
| C. Time 5 values calculated directly from time 0 populations and z values (Eq. (2)) | ||||||||
| 5 | .77844 | .13275 | .08881 | |||||