In the selected sample of 92 individuals that were retained for lifespan analysis, there was no significant relationship between lifespan and body mass (least squares linear regression analysis (LSR): F
1,90 = 0.02, P = 0.90; b = −0.4; Fig. 2a), lifespan and DEE (LSR: F
1,90 = 0.33, P = 0.57; b = 1.1; Fig. 2b) or lifespan and TAEE (LSR: F
1,90 = 2.11, P = 0.15; b = 2.9; Fig. 2c). However, there was a significant negative relationship between RMR and lifespan (LSR: F
1,90 = 4.52, P = 0.036; b = −10.7; Fig. 2d). We sorted the data set for each variable from the lowest to the highest values of BM, DEE, TAEE and RMR and divided them into two groups for each trait: high and low. We then plotted mortality curves for the divided data and analysed the data in two ways: first comparing the mean lifespan of the two groups using t tests and then analysing the mortality rates using the Kaplan–Meier analysis. These results corroborate those obtained by regression analysis on the individual values. There was no significant difference in lifespan between animals with low and high body mass (mean SE lifespan, 635 ± 21 and 630 ± 22 days, respectively; t test, P = 0.87). Mortality rate comparisons performed using Kaplan–Meier analysis of survival revealed no difference between the two groups (log-rank Mantel–Cox χ
2, P = 0.86; n = 92; Fig. 3a). There was no significant difference in lifespan between animals with low and high DEE (mean SE lifespan, 628 ± 22 and 637 ± 20 days, respectively; t test, P = 0.77) with no difference in mortality rate between the two groups of DEE (log-rank χ
2, P = 0.96; Fig. 3b; n = 92). Also, we found no difference between mean lifespan for comparison between low and high TAEE animals (mean ± SE lifespan, 632 ± 23 and 633 ± 20 days, respectively; t test P = 0.97) and no difference in mortality rate between the two groups (χ
2, P = 0.76; Fig. 3c; n = 92). The comparison between RMR longevity curves confirmed that animals with low RMR (mean ± SE lifespan, 662 ± 22 days) lived longer than mice with high RMR (603 ± 20 days; t test: P = 0.047) by about 10 %. Kaplan–Meier analysis of survival revealed a significant difference in mortality rate between the two groups (log-rank Mantel χ
2 = 4.9, P = 0.027; Fig. 3d; n = 92).
RMR is known to be affected not only by variations in body mass, an effect we also confirmed (LSR: F
1,90 = 58.0, P < .001, R
2 = 0.39, b = 0.39), but especially by differences in body composition. Fat-free mass (FFM), which accounts for the larger part of body mass, is directly related with RMR, and fat mass (FM) has a smaller but similarly positive contribution to RMR (Johnstone et al. 2005; Kaiyala et al. 2010; Tschöp et al. 2012), possibly mediated in part via an effect of leptin (Kaiyala et al. 2010). We evaluated body composition by measuring FM and FFM in a subsample of mice (n = 53). In this sample, the negative relationship between lifespan and RMR was confirmed (LSR: F
1,51 = 6.3, P = 0.015; R
2 = 0.11, b = −12.8). To discriminate the effect of FM and FFM on RMR and consequently their putative effects on lifespan, we used the residuals from two separate analyses. In the first, we performed a regression analysis of RMR on FM (LSR: F
1,51 = 23.47, R
2 = 0.32, P < .001; b = 0.51, SE
b
= 0.11; Fig. 4a) and calculated the residual, hereafter called “RMR without FM effect”. The second involved a regression of RMR on FFM (LSR: F
1,51 = 35.24, R
2 = 0.41, P < .001; b = 0.76, SE
b
= 0.13; Fig. 4b), and the calculated residual was called the “RMR without FFM effect”. The “RMR without FM effect” was not significantly related with lifespan (LSR: F
1,51 = 1.9, P = 0.17, b = −9.0; Fig. 4c), while “RMR without FFM effect” remained negatively and significantly related with lifespan (LSR: F
1,51 = 7.2, P = 0.01, R
2 = 0.12, b = −17.7; Fig. 4d). This analysis indicated that the negative relationship between RMR and lifespan was due to the association between RMR and body fat, as when the effect of FM on RMR was statistically removed, the effect on lifespan disappeared. If the effect of RMR is due to an effect of body fat, then we would anticipate that there would be an effect of fat tissue mass on longevity, but no effect of lean tissue mass. This was indeed the case (Fig. 5a: LSR: F
1,51 = 5.32, P=0.02; R
2 = 0.1, b = −10.9), but there was no effect of fat-free mass on longevity (LSR: F
1,51 = 0.46, P=0.5, b = −4.38: plot not shown). We repeated the analysis using soft lean tissue mass obtained by excluding bone from fat-free mass, and we got the same results (not shown here).
The sample size in this relationship differs from those in Fig. 2d because only a subset of the animals had their body composition measured by DXA (see “Materials and methods”).
We also measured oxidative stress and antioxidant protection in a sample of animals not included in the longevity measurements (n = 40). The relationship between body mass and markers of oxidative stress [protein carbonyl; DNA damage—by concentration of 8-hydroxy-2′-deoxyguanosine (8-OHdG); determination of reactive oxygen metabolites (d-ROMs)] was significant only for DNA damage (Table 1; n = 40). Of the antioxidant enzyme activities (SOD, catalase and GPx) there was a significant negative relationship with body mass for GPx; no significant correlation was found for the antioxidant adsorbent test (OXY) (Table 1). Due to the significant relationships with body mass, we explored the relationship between oxidative stress and antioxidant protection and RMR, DEE and FM using the residual values for both independent and dependent variables from regression analyses on body mass. The resulting residual RMR, residual DEE and residual FM (fatness) were not significantly correlated with any of the antioxidant enzyme activities. However, residual FM was significantly positively correlated with oxidative damage to DNA (F
1,38 = 5.7, P = 0.02, R
2 = 0.13, b = 0.06; Table 1; Fig. 5b).
Table 1 Pearson correlation and P values for anti-oxidant barriers and oxidative stress. Glutathione peroxidase (GPx); superoxide dismutase (SOD); protein carbonyls (p.carbonyls); determination of Reactive Oxygen Metabolites (d-ROMs); OXY Adsorbent Test (OXY)