Statistical Models Validate Environmental Stability, Body Size and Life History Strategies as Predictors of Maximum Lifespan
Simple Summary
Abstract
1. Introduction
2. Materials and Methods
3. Results
3.1. Response of Longevity to Individual Species Traits
3.2. Relationships Among Predictors and Among Species
3.3. Responses of Longevity to Categories of Predictors
3.4. Model Robustness
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| GLM | Generalised linear model |
| GLMM | Generalised linear mixed model |
| GAM | Generalised additive model |
| RF | Random forest |
| RT | Regression tree |
| PCA | Principal components analysis |
| %IncMSE | Percent Increase in Mean Squared Error |
Appendix A


| Variable | Deviance | AIC | Scaled Deviance | Coefficient | p |
|---|---|---|---|---|---|
| none | 68.8 | 911.1 | - | - | - |
| Amphib | 65.5 | 908.4 | 4.64 | −1.282 | 0.031 |
| Marine | 63.7 | 906.0 | 7.11 | 0.403 | 0.008 |
| TidalZ | 68.8 | 913.0 | 0.04 | 0.021 | 0.835 |
| AbTidZ | 68.8 | 913.1 | 0.00 | 0.000 | 0.974 |
| BrackW | 67.9 | 911.9 | 1.20 | −0.212 | 0.273 |
| FreshW | 63.6 | 905.8 | 7.22 | −0.661 | 0.007 |
| MaxSize | 57.0 | 896.6 | 16.51 | 0.003 | <0.001 |
| MinDep | 68.6 | 912.8 | 0.27 | 0.002 | 0.603 |
| UpTZ | 68.0 | 911.9 | 1.16 | 0.162 | 0.281 |
| LowTZ | 65.1 | 907.9 | 5.12 | 0.344 | 0.024 |
| MaxDep | 64.6 | 907.2 | 5.83 | 0.001 | 0.016 |
| Herb | 68.7 | 912.9 | 0.12 | −0.043 | 0.731 |
| Detr | 63.9 | 906.2 | 6.87 | −0.453 | 0.009 |
| Filt | 65.1 | 907.9 | 5.17 | −0.786 | 0.023 |
| Pred | 68.7 | 913.0 | 0.10 | 0.041 | 0.754 |
| Scav | 68.4 | 912.5 | 0.60 | 0.161 | 0.437 |
| Omni | 68.8 | 913.0 | 0.05 | 0.060 | 0.832 |
| ShellTh | 68.2 | 912.2 | 0.84 | 0.097 | 0.360 |
| BIWP | 64.8 | 907.4 | 5.66 | −0.360 | 0.017 |
| BEPC | 65.2 | 908.0 | 5.03 | 0.492 | 0.025 |
| BWAT | 68.6 | 912.8 | 0.27 | 0.091 | 0.606 |
| BEAT | 68.1 | 912.1 | 0.91 | 0.294 | 0.339 |
| BSOC | 65.9 | 908.9 | 4.11 | 1.017 | 0.043 |
| BART | 68.5 | 912.6 | 0.45 | −0.114 | 0.504 |
| CPOL | 64.9 | 907.6 | 5.48 | 0.531 | 0.019 |
| CTEM | 68.8 | 913.0 | 0.04 | 0.040 | 0.845 |
| CTRO | 68.8 | 913.0 | 0.02 | −0.012 | 0.883 |
| Aggreg | 67.4 | 911.2 | 1.91 | −0.211 | 0.167 |
| BioRich | 66.9 | 910.4 | 2.70 | 0.248 | 0.100 |
| BioPoor | 67.7 | 911.6 | 1.50 | −0.196 | 0.220 |
| FoodRich | 68.5 | 912.7 | 0.39 | −0.105 | 0.532 |
| FoodPoor | 68.4 | 912.5 | 0.55 | 0.110 | 0.458 |
| HabStab | 66.8 | 910.3 | 2.77 | 0.259 | 0.096 |
| HabUnst | 68.6 | 912.8 | 0.21 | −0.083 | 0.643 |
| Repr | 57.8 | 897.7 | 15.38 | 1.380 | 0.000 |
| RangVR | 68.7 | 912.9 | 0.12 | 0.060 | 0.725 |
| RangR | 68.5 | 912.6 | 0.43 | 0.096 | 0.513 |
| RangW | 68.4 | 912.5 | 0.60 | −0.174 | 0.440 |
| RangVW | 67.1 | 910.7 | 2.32 | −0.544 | 0.128 |
| End | 66.6 | 910.0 | 3.10 | −0.691 | 0.078 |
| Inv | 68.4 | 912.6 | 0.49 | 0.194 | 0.482 |
| ContRange | 65.4 | 908.3 | 4.80 | 0.398 | 0.028 |
| HRock | 68.8 | 913.0 | 0.03 | −0.021 | 0.857 |
| Hcora | 68.1 | 912.0 | 1.02 | −0.240 | 0.312 |
| HMang | 66.2 | 909.5 | 3.57 | −0.604 | 0.059 |
| Hsand | 68.3 | 912.4 | 0.70 | 0.125 | 0.401 |
| Hmud | 67.3 | 911.0 | 2.07 | 0.269 | 0.150 |
| HGrave | 68.8 | 913.0 | 0.02 | −0.031 | 0.884 |
| HMacr | 68.2 | 912.2 | 0.87 | 0.235 | 0.350 |
| HClay | 67.9 | 911.8 | 1.30 | −0.224 | 0.254 |
| HSalt | 68.6 | 912.8 | 0.24 | 0.152 | 0.624 |
| IntPred | 68.6 | 912.9 | 0.20 | −0.068 | 0.652 |
| JuvPred | 68.7 | 913.0 | 0.10 | 0.037 | 0.751 |
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| Category | Code | Definition | Type |
|---|---|---|---|
| Response variable | MaxAge | maximum age (longevity in years) | numerical |
| Explanatory variables (predictors) | |||
| Phylogeny | Subcl | subclass: PG—Patellogastropoda, V—Vetigastropoda, N—Neritimorpha, C—Caenogastropoda, H—Heterobranchia | factor |
| Ord | order or superfamily: LO—Lottioidea, PA—Patelloidea, LE—Lepetellida, PL—Pleurotomariida, T—Trochida, NR—Neritoidea, AT—Architaenioglossa, LI—Littorinimorpha, NE—Neogastropoda, CE—Cerithimorpha (incertae sedis), SI—Siphonariida, EL—Ellobiida | factor | |
| Morphology | MaxSize | maximum size (mm) | numerical |
| ShellTh | shell thickness: 0—thin, 1—thick, 2—massive | ordinal | |
| Reproductive strategy | Repr | reproduction: 0—semelparous; 1—iteroparous | binary |
| Trophic regime | Herb | herbivorous | binary |
| Detr | detritophagous | binary | |
| Filt | filter-feeder | binary | |
| Pred | predator | binary | |
| Scav | scavenger | binary | |
| Omni | omnivore | binary | |
| Predation pressure | IntPred | overall intensity of predation: 0–weak, 1–medium, 2–strong | ordinal |
| JuvPred | predation is more intense on young specimens | binary | |
| Aggregation | Aggreg | aggregation | binary |
| Habitat | Amphib | amphibiotic | binary |
| Marine | marine (below tide zone) | binary | |
| TidalZ | tidal zone | binary | |
| AbTidZ | above high tide level | binary | |
| BrackW | brackish water | binary | |
| FreshW | freshwater | binary | |
| Habitat characteristics | BioRich | biotope rich in species | binary |
| BioPoor | biotope poor in species | binary | |
| FoodRich | food resources rich | binary | |
| FoodPoor | food resources limited | binary | |
| HabStab | stable habitat | binary | |
| HabUnst | unstable habitat | binary | |
| Depth | MinDep | minimum depth (m) | numerical |
| MaxDep | maximum depth below low water level (m) | numerical | |
| UpTZ | in upper tide zone | binary | |
| LowTZ | in lower tide zone | binary | |
| Biogeography | BIWP | Indo-West Pacific (Indian Ocean and the western Pacific) | binary |
| BEPC | Eastern Pacific (western coasts of North and South America) | binary | |
| BWAT | Western Atlantic (including Caribbean Sea and Gulf of Mexico) | binary | |
| BEAT | Eastern Atlantic | binary | |
| BSOC | Southern Ocean (with unique cold-adapted species) | binary | |
| BART | Arctic-temperate (N Pacific, N Atlantic, Mediterranean) | binary | |
| Climate | CPOL | polar | binary |
| CTEM | temperate | binary | |
| CTRO | tropical | binary | |
| Range | RangVR | range very restricted | binary |
| RangR | restricted range | binary | |
| RangW | wide range | binary | |
| RangVW | very wide range | binary | |
| ContRange | continuous range | binary | |
| End | endemic | binary | |
| Inv | invasive | binary | |
| Substratum | HRock | rocks | binary |
| HCora | corals | binary | |
| HMang | mangroves | binary | |
| HSand | sand | binary | |
| HMud | mud | binary | |
| HGrave | gravel | binary | |
| HMacr | macrophytes | binary | |
| HClay | clay | binary | |
| HSalt | salt marshlands | binary | |
| Predictor | M1 | M2 | M3 | M4 | M5 | M6 | M7 | M8 | Averaged Coefficient |
|---|---|---|---|---|---|---|---|---|---|
| Life history | Averaged Expl.dev = 34.8% | ||||||||
| s(MaxSize) | + | + | + | + | + | + | + | + | |
| Repr | + | + | + | + | + | + | + | + | 1.08 (0.72, 1.45) |
| Detr | + | −0.11 (−0.34, 0.11) | |||||||
| Environment | Averaged Expl.dev = 15.2% | ||||||||
| Amphib | + | + | + | + | + | + | + | + | −1.62 (−2.28, −0.96) |
| TidalZ | + | + | + | + | + | + | + | + | 0.38 (0.18, 0.59) |
| s(MaxDep) | + | ||||||||
| HSalt | + | + | + | + | + | + | + | + | 0.83 (0.37, 1.28) |
| HGrave | + | + | + | + | + | + | + | −0.22 (−0.44, −0.01) | |
| HMang | + | + | + | + | + | + | + | −0.44 (−0.82, 0.06) | |
| Biogeography | Averaged Expl.dev = 6.8% | ||||||||
| BSOC | + | + | + | + | + | + | + | 1.1 (0.36, 1.84) | |
| BIWP | + | + | + | + | + | −0.17 (−0.37, 0.02) | |||
| BEPC | + | + | + | 0.22 (−0.08, 0.52) | |||||
| Model performance | |||||||||
| AICc | 819.3 | 820.1 | 820.2 | 820.8 | 820.8 | 821.0 | 821.0 | 821.2 | |
| Delta AICc | 0 | 0.79 | 0.95 | 1.47 | 1.48 | 1.68 | 1.74 | 1.94 | |
| Model weight | 0.223 | 0.150 | 0.138 | 0.107 | 0.106 | 0.096 | 0.093 | 0.084 | |
| Explained deviance (%) | 57.3 | 56.4 | 56 | 57.8 | 57.2 | 58.2 | 55.7 | 54.9 | 56.8 |
| Predictor | GLM | PGLS | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| p-Value | Coefficient | ||||||||||
| M3 | M4 | M5 | M6 | M3 | M4 | M5 | M6 | Lambda | p-Value | Coeff | |
| Subcls | 0.001 | 0.000 | 0.023 | 0.011 | - | - | - | - | - | - | - |
| Ord | 0.000 | 0.000 | 0.006 | 0.010 | - | - | - | - | - | - | - |
| Amphib | 0.008 | 0.021 | - | - | −1.278 | −1.253 | - | - | 0.41 | 0.200 | −0.616 |
| Marine | 0.001 | 0.005 | 0.016 | 0.026 | 0.398 | 0.327 | 0.281 | 0.256 | 0.32 | 0.061 | 0.278 |
| FreshW | 0.001 | 0.010 | 0.011 | 0.013 | −0.657 | −0.529 | −0.524 | −0.515 | 0.40 | 0.158 | −0.319 |
| MaxSize | 0.000 | 0.000 | 0.000 | 0.000 | 0.003 | 0.003 | 0.002 | 0.002 | 0.18 | 0.000 | 0.003 |
| LowTZ | 0.005 | 0.008 | 0.022 | 0.018 | 0.339 | 0.314 | 0.267 | 0.270 | 0.36 | 0.214 | 0.185 |
| MaxDep | 0.003 | 0.005 | 0.009 | 0.009 | 0.001 | 0.001 | 0.001 | 0.001 | 0.34 | 0.012 | 0.001 |
| Detr | 0.001 | 0.008 | 0.031 | 0.143 | −0.448 | −0.365 | −0.299 | −0.209 | 0.42 | 0.727 | −0.056 |
| Filt | 0.005 | 0.073 | 0.144 | 0.215 | −0.781 | −0.566 | −0.487 | −0.433 | 0.39 | 0.140 | −0.431 |
| BIWP | 0.003 | 0.004 | 0.001 | 0.001 | −0.355 | −0.334 | −0.366 | −0.364 | 0.43 | 0.016 | −0.302 |
| BEPC | 0.006 | 0.013 | 0.023 | 0.035 | 0.488 | 0.413 | 0.365 | 0.325 | 0.44 | 0.016 | 0.457 |
| BSOC | 0.013 | 0.013 | 0.014 | 0.017 | 1.022 | 0.954 | 0.911 | 0.822 | 0.44 | 0.089 | 0.844 |
| CPOL | 0.004 | 0.008 | 0.014 | 0.017 | 0.537 | 0.463 | 0.416 | 0.388 | 0.39 | 0.186 | 0.289 |
| BioRich | 0.044 | 0.067 | 0.118 | 0.059 | 0.241 | 0.212 | 0.178 | 0.210 | 0.42 | 0.605 | 0.076 |
| HabStab | 0.041 | 0.045 | 0.075 | 0.026 | 0.253 | 0.240 | 0.211 | 0.256 | 0.40 | 0.138 | 0.216 |
| Repr | 0.000 | 0.050 | 0.034 | - | 1.376 | 1.029 | 1.073 | - | 0.32 | 0.000 | 1.073 |
| End | 0.031 | 0.043 | 0.088 | 0.033 | −0.686 | −0.646 | −0.576 | −0.668 | 0.43 | 0.607 | −0.155 |
| ContRange | 0.007 | 0.006 | 0.006 | 0.003 | 0.394 | 0.388 | 0.384 | 0.410 | 0.44 | 0.109 | 0.246 |
| HMang | 0.020 | 0.005 | 0.007 | 0.014 | −0.599 | −0.672 | −0.657 | −0.627 | 0.44 | 0.689 | −0.096 |
| Hmud | 0.078 | 0.056 | 0.054 | 0.022 | 0.275 | 0.288 | 0.285 | 0.333 | 0.44 | 0.258 | 0.196 |
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Sîrbu, I.; Benedek, A.M.; Falniowski, A. Statistical Models Validate Environmental Stability, Body Size and Life History Strategies as Predictors of Maximum Lifespan. Animals 2026, 16, 2323. https://doi.org/10.3390/ani16152323
Sîrbu I, Benedek AM, Falniowski A. Statistical Models Validate Environmental Stability, Body Size and Life History Strategies as Predictors of Maximum Lifespan. Animals. 2026; 16(15):2323. https://doi.org/10.3390/ani16152323
Chicago/Turabian StyleSîrbu, Ioan, Ana Maria Benedek, and Andrzej Falniowski. 2026. "Statistical Models Validate Environmental Stability, Body Size and Life History Strategies as Predictors of Maximum Lifespan" Animals 16, no. 15: 2323. https://doi.org/10.3390/ani16152323
APA StyleSîrbu, I., Benedek, A. M., & Falniowski, A. (2026). Statistical Models Validate Environmental Stability, Body Size and Life History Strategies as Predictors of Maximum Lifespan. Animals, 16(15), 2323. https://doi.org/10.3390/ani16152323

