Table 2.

Box-Jenkins equations for female cohort mortality rates at ages 0, 1–4, 10–14, 45–49, and 55–59 for Sweden, (1751 through 1919), France (1816 through 1919) and England and Wales (1841 through 1919).

	Sweden	France	England and Wales
Age 0	$Z_t=-0.0011+(1+0.4609B^2)(1+0.2905B^3) a_t$	$\nabla Z_t=\frac{(1+0.3720B)(1+0.2352B^4)}{(1+0.2540B^5)}{a}_t$	$Z_t=0.1318+ \frac{1}{(1+0.9097B)(1+0.3390B^6)}{a}_t$
Ages 1–4	$\nabla Z_t=-0.0002+(1-0.2414B^{ })(1+0.2761B^4) a_t$	$\nabla Z_t=\frac{(1-0.2516B)(1+0.3206B^4)}{(1+0.3987B^5)}{a}_t$	$\nabla Z_t=-0.0003+ \frac{1}{(1-0.3088B^3)}{a}_t$
Ages 10–14	$\nabla Z_t=-0.3832+ \frac{1}{(1-0.1693B^5)(1-0.2991B^6)}{a}_t$	$\nabla Z_t=\frac{(1+0.3506B^6)}{(1+0.2596B)}{a}_t$	$\nabla Z_t=-0.00005+ a_t$
Ages 45–49	$\nabla Z_t= \frac{1}{(1-0.1548B^5)(1-0.2943B^6)}{a}_t$	$\nabla Z_t=-0.0001+\frac{(1+0.2859B^9)}{(1+0.2214B^{10})}{a}_t$	$\nabla Z_t=-0.0001+ \frac{1}{(1-0.2828B)}{a}_t$
Ages 55–59	$\nabla Z_t=-0.0001+ \frac{1}{(1-0.2131B^6)}{a}_t$	$\nabla Z_t=-0.0001+\frac{(1+0.4230B)}{(1-0.3730B^5)}{a}_t$	$\nabla Z_t=-0.0002+ \frac{1}{(1-0.0730B^2)(1+0.1615B^{20})}{a}_t$