| Literature DB >> 34765119 |
Chris Duncan1,2, Marta B Manser2,3, Tim Clutton-Brock1,2,4.
Abstract
In many social vertebrates, variation in group persistence exerts an important effect on individual fitness and population demography. However, few studies have been able to investigate the failure of groups or the causes of the variation in their longevity. We use data from a long-term study of cooperatively breeding meerkats, Suricata suricatta, to investigate the different causes of group failure and the factors that drive these processes. Many newly formed groups failed within a year of formation, and smaller groups were more likely to fail. Groups that bred successfully and increased their size could persist for several years, even decades. Long-lived groups principally failed in association with the development of clinical tuberculosis, Mycobacterium suricattae, a disease that can spread throughout the group and be fatal for group members. Clinical tuberculosis was more likely to occur in groups that had smaller group sizes and that had experienced immigration.Entities:
Keywords: cooperative breeding; group failure; group persistence; group size; sociality; tuberculosis
Year: 2021 PMID: 34765119 PMCID: PMC8571573 DOI: 10.1002/ece3.7655
Source DB: PubMed Journal: Ecol Evol ISSN: 2045-7758 Impact factor: 3.167
Model comparisons for competing risk survival analyses characterizing the failure of groups accounting for two distinct fates (TB vs. No TB) in addition to censoring. The models with the lowest ΔAIC value were considered the model of best fit and are highlighted in bold
| No TB | TB | |||||
|---|---|---|---|---|---|---|
| AIC | LogLik | ΔAIC | AIC | LogLik | ΔAIC | |
| Exponential | 114.13 | −56.06 | 14.94 |
|
|
|
| Weibull | 102.47 | −49.23 | 3.28 | 164.73 | −80.36 | 1.39 |
| Gamma | 103.46 | −49.73 | 4.28 | 164.97 | −80.49 | 1.63 |
| Log normal | 99.25 | −47.62 | 0.06 | 163.36 | −79.68 | 0.02 |
| Gompertz |
|
|
| 164.21 | −80.1 | 0.87 |
| Log logistic | 101.25 | −48.63 | 2.06 | 163.86 | −79.93 | 0.52 |
Model comparisons for parametric time homogeneous survival models for each transition in the multistate illness‐death model
| Stable → TB | Stable → Failure | |||||
|---|---|---|---|---|---|---|
| AIC | LogLik | ΔAIC | AIC | LogLik | ΔAIC | |
| Exponential | 810.89 | −404.45 | 4.82 | 281.13 | −141.57 | 9.85 |
| Weibull | 806.53 | −401.3 | 0.46 | 274.8 | −135.4 | 3.52 |
| Gamma |
|
|
| 275.91 | −135.95 | 4.63 |
| Log Normal | 817.59 | −406.8 | 11.52 |
|
|
|
| Gompertz | NA | NA | NA | NA | NA | NA |
| Log Logistic | 817.95 | −407 | 11.88 | 273.34 | −134.67 | 2.06 |
For some transitions, models fitted with a Gompertz distribution could not be fitted due to convergence issues; these are represented by NAs. The models with the lowest ΔAIC value were considered the model of best fit and are highlighted in bold.
FIGURE 1Visual representations of multistate models where boxes represent states a group can occupy and arrows the possible transitions a group can make from one state to another. (a) A competing risk multistate model where groups can transition from being in a stable state to one of either two absorbing states, failure with clinical TB or failure without TB. (b) A multistate illness–death model with recovery, groups can transition from a stable state to having clinical TB and recover again, with failure being the sole absorbing state
Univariate model outputs for semi‐parametric Cox proportional hazard models fitted within the multi‐state illness‐death model
| Alive → Dead | Alive → TB | TB → Dead | ||||
|---|---|---|---|---|---|---|
| Est ± |
| Est ± |
| Est ± |
| |
| Group size | −7.215 ± 1.889 | <.001 | −1.109 ± 0.484 | .022 | −1.32 ± 0.768 | .086 |
| Pop density | 0.175 ± 0.515 | .734* | −0.558 ± 0.080 | .136 | −0.106 ± 0.128 | .409 |
| Immigrants | NA | NA | 1.489 ± 0.395 | <.001 | NA | NA |
| Excursions | NA | NA | 0.195 ± 0.350 | .578* | NA | NA |
| Recruit rate | NA | NA | NA | NA | −1690 ± 0.873 | .053 |
| SPI1a | 0.417 ± 0.297 | .166 | −0.002 ± 0.198 | .992 | −0.261 ± 0.309 | .397 |
| SPI3a | 0.056 ± 0.287 | .845 | −0.190 ± 0.168 | .26 | −0.533 ± 0.325 | .101 |
| SPI6a | −0.081 ± 0.278 | .772 | −0.228 ± 0.173 | .186 | −1.214 ± 0.518 | .019b |
| SPI12a | −0.218 ± 0.347 | .53 | −0.074 ± 0.189 | .697 | −1.029 ± 0.512 | .044 |
| Season | 0.350 ± 0.551 | .525 | −0.313 ± 0.326 | .338 | −0.397 ± 0.547 | .468 |
aSPI refers to the Standardised Precipitation Index.
bWhen modeled with a larger dataset including all transitions from TB to death, the significance of this effect no longer held (Haz [CI 95%] = 0.78 [0.50–0.23], Est ± SE = −0.24 ± 0.23, p = .29).
*These terms were not significant when modeled with a univariate approach; however, when the terms were refitted with the significant terms, it became apparent that these terms had an effect once the effect of group size had been accounted for. Models fitted better with these terms included according to AIC values.
Model comparison table for the effect of excursions and immigration on the likelihood of clinical TB developing calculated over different timeframes
| Months | Excursions | Immigration | ||
|---|---|---|---|---|
| AIC | ΔAIC | AIC | ΔAIC | |
| 1 | 201.31 | 2.90 | 207.41 | 6.16 |
| 2 | 201.69 | 3.29 | 206.88 | 5.63 |
| 3 | 201.51 | 3.10 | 210.08 | 8.83 |
| 4 | 200.23 | 1.83 | 208.13 | 6.87 |
| 5 | 199.12 | 0.71 | 206.21 | 4.96 |
| 6 |
|
| 207.99 | 6.74 |
| 7 | 198.99 | 0.59 |
|
|
| 8 | 199.96 | 1.56 | 203.59 | 2.33 |
| 9 | 200.22 | 1.81 | 204.11 | 2.86 |
| 10 | 200.24 | 1.83 | 206.60 | 5.35 |
| 11 | 200.48 | 2.08 | 205.33 | 4.07 |
| 12 | 200.12 | 1.72 | 205.63 | 4.38 |
| 13 | 200.33 | 1.93 | 206.70 | 5.45 |
| 14 | 200.36 | 1.96 | 206.92 | 5.66 |
| 15 | 200.09 | 1.69 | 207.97 | 6.71 |
| 16 | 199.95 | 1.55 | 209.34 | 8.09 |
The time period producing the model of best fit are highlighted in bold.
Model outputs for GLMMs investigating the factors influencing the number of pups produced in the population during 3 month periods over the course of the study
| Estimate ± |
|
| |
|---|---|---|---|
| Group model | |||
| Group number | 0.057 ± 0.018 | 3.243 | .001 |
| Quarter (Set to 1st) | |||
| 2nd Quarter | −1.115 ± 0.163 | 6.861 | <.001 |
| 3rd Quarter | −0.304 ± 0.154 | 1.975 | .048 |
| 4th Quarter | −0.154 ± 0.150 | 1.029 | .303 |
| Zero‐inflation term | −2.870 ± 0.474 | 6.160 | <.001 |
| Females model | |||
| Adult female count | −0.000 ± 0.003 | 0.244 | .807 |
| Quarter (Set to 1st) | |||
| 2nd Quarter | −1.137 ± 0.173 | 6.562 | <.001 |
| 3rd Quarter | −0.295 ± 0.166 | 1.774 | .076 |
| 4th Quarter | −0.170 ± 0.160 | 1.059 | .290 |
| Zero‐inflation term | −2.888 ± 0.474 | 6.090 | <.001 |
FIGURE 2The relationship between the number of pups produced that emerged in our population during 3‐month periods and the number of (a) groups and (b) adult females in the population. Raw data plotted as gray points and the model predictions plotted as solid blue lines with accompanying confidence intervals shaded in blue. All predictions derived at the population level with the time of year set to the third quarter (July–September), from GLMMs with a negative binomial error distribution and a zero‐inflation term. The dataset included 92 periods from October 1996 to October 2019
FIGURE 3The variation in group characteristics across existence in relation to the group's cause of failure, with failures relating to TB (purple) and failures of groups with no TB (green) represented. (a) Stacked frequency plot of age at failure with groups still alive included with their age at study end (gray). (b) Survival probability across a group's existence with 95% confidence intervals (shaded area) predicted from parametric competing fate survival models overlaid on raw Kaplan–Meier plots with 95% confidence intervals (dashed lines). (c) The annual probability of a group failing across their existance derived from parametric survival models. (d) The mean monthly group size across the first 2 years of persistence with raw data (gray points), population‐level predictions (thick lines), and group‐level predictions (lighter thin lines) plotted
LMM model outputs for the effect of covariates on group size variation in the first 2 years of a group's longevity
| Estimate ± |
|
| |
|---|---|---|---|
| Age | 0.238 ± 1.102 | 0.296 | .768 |
| Failure cause | 4.234 ± 1.333 | 3.176 | .002 |
| Age:Failure cause | 1.691 ± 0.945 | 1.790 |
|
The Age of a group is the time in months since the formation of the group.
FIGURE 4Model predictions from the parametric multistate illness–death model. (a) Predicted occupancy probabilities for a group having clinical TB (purple) and a group having failed (orange) across their lifespan. (b) The survival probability across a group's lifespan depending on whether they have clinical TB (purple) or not (blue)
Model outputs and forest plot for semi‐parametric multistate illness–death model of meerkat group survival (black points and lines). In addition the model outputs for the remodeled transition from clinical TB to failure on a larger dataset (Table A7), including groups of unknown formation are also reported (italics) and included in the forest plot (blue points and lines)
Outputs for Cox proportional hazard model fitted on the time to failure following the development of clinical TB
| Hazard Ratio (95% CI) | Linear estimate ± |
| |
|---|---|---|---|
| TB → Failed | |||
| Group sizea | 0.20 (0.07–0.59) | −1.584 ± 0.538 | .003 |
| Recruit ratea | 0.10 (0.03–0.38) | −2.299 ± 0.684 | <.001 |
| SPI12 | 0.60 (0.37–1.00) | −0.506 ± 0.257 | .048 |
aAre time‐fixed covariates, these were calculated at the development of clinical TB.
Multistate nonparametric survival model outputs for the transition from stable state to clinical TB, modeled with distinct periods of clinical TB that occurred within a set number of months of a previous clinical TB period merged and treated as a continuous clinical TB infection
| Model | Events | EST |
| Haz [95% CI] |
|
|---|---|---|---|---|---|
| Immigration | |||||
| 13 months | 41 | 1.369 | 0.404 | 3.93 [1.78–8.68] | <.001 |
| 24 months | 38 | 1.405 | 0.425 | 4.07 [1.77–9.38] | <.001 |
| 36 months | 38 | 1.405 | 0.425 | 4.07 [1.77–9.38] | <.001 |
| 48 months | 35 | 1.485 | 0.44 | 4.41 [1.86–10.45] | <.001 |
| 60 months | 34 | 1.441 | 0.445 | 4.22 [1.76–10.12] | .001 |
| Full Merge | 32 | 1.626 | 0.489 | 5.08 [1.95–13.28] | <.001 |
| Group Size | |||||
| 13 months | 41 | −1.346 | 0.563 | 0.26 [0.08–0.78] | .018 |
| 24 months | 38 | −1.251 | 0.584 | 0.28 [0.09–0.90] | .032 |
| 36 months | 38 | −1.251 | 0.584 | 0.28 [0.09–0.90] | .032 |
| 48 months | 35 | −1.163 | 0.616 | 0.31 [0.09–1.04] | .059 |
| 60 months | 34 | −1.107 | 0.627 | 0.33 [0.10–1.13] | .077 |
| Full Merge | 32 | −0.904 | 0.637 | 0.41 [0.12–1.41] | .156 |
| Excursions | |||||
| 13 months | 41 | 0.824 | 0.436 | 2.28 [0.97–5.36] | .059 |
| 24 months | 38 | 0.941 | 0.47 | 2.56 [1.02–6.44] | .046 |
| 36 months | 38 | 0.941 | 0.47 | 2.56 [1.02–6.44] | .046 |
| 48 months | 35 | 0.89 | 0.526 | 2.41 [0.86–6.74] | .095 |
| 60 months | 34 | 0.901 | 0.571 | 2.46 [0.80–7.55] | .11 |
| Full Merge | 32 | 0.512 | 0.541 | 1.67 [0.58–4.83] | .344 |
Different timeframes for merging TB periods were modeled, ranging from 13 to 60 months in yearly intervals, with the results present here. 13 months is the timeframe over which clinical TB periods were merged in the main paper. Full merge refers to a model where only the first occurrence of clinical TB was modeled, and all subsequent periods of clinical TB were treated as the same infection period.