Table 1. Fitted Gompertz model and maximum likelihood estimates (MLE) values for intercept and slope.
Overall mortality data of individual genotypes as obtained by maximum likelihood estimates were best described with Gompertz parameters using WinModest v1.0.2 (Pletcher, 1999) (n= sample size, a= initial mortality rate, b= rate of demographic aging). Symbols *, †, indicates genetic background. Similar superscript in column for Gompertz parameters indicates no significant difference between populations. In column for Gompertz parameter ‘a’ significant difference is at p<0.01; in column for parameter ‘b’ significant difference is at p<0.001. A sensitivity analysis by varying the start parameters for ‘a’ and ‘b’ shows that the MLE parameters for each genotype is robust. The percent errors between the fitted and the actual mean life span for each genotype are small. The differences in mean lifespan were significantly different between KG06854R and Sod2n283/+ (P<0.0001), between KG06854R and Sod2wk/wk (P<0.0001), and between KG06854R and Sod2n283/wk (P<0.0001), but not between Sod2n283/+ and Sod2wk/wk (P=0.1958).
Gompertz Parameters | Max LS (days) | Actual Mean LS (days) | Fitted Mean LS (days) | % Error between Actual & Fitted Mean LS | ||||
---|---|---|---|---|---|---|---|---|
a (intercept) | b (slope) | |||||||
MLE value | Start Range | MLE value | Start Range | |||||
KG06854R * (n=679) |
0.00259 p | 0.0001 − 0.003 | 0.05115 p | 0.01 − 0.3 | 86 | 50.37850 | 50.51922 | 0.279 |
Sod2n283/+ * (n=1038) |
0.00288 p | 0.0001 − 0.004 | 0.06522 q | 0.01 − 0.4 | 69 | 41.49615 | 41.44730 | 0.118 |
Sod2wk/wk * (n=704) |
0.00250 p | 0.0001 − 0.002 | 0.07501 r | 0.01 − 0.2 | 65 | 39.63921 | 39.40065 | 0.602 |
Sod2wk/n283 * (n=687) |
0.00239 p | 0.0001 − 0.003 | 0.10728 s | 0.01 − 0.3 | 49 | 31.12664 | 30.97952 | 0.473 |
Sod2+/+;{Sod2+/+}† (n=227) |
0.00395 q | 0.0001 − 0.002 | 0.04072 u | 0.01 − 0.2 | 91 | 50.44934 | 50.06139 | 0.769 |