| Literature DB >> 22823456 |
Bruno A Buzatto1, Joseph L Tomkins, Leigh W Simmons.
Abstract
BACKGROUND: Maternal effects are environmental influences on the phenotype of one individual that are due to the expression of genes in its mother, and are expected to evolve whenever females are better capable of assessing the environmental conditions that their offspring will experience than the offspring themselves. In the dung beetle Onthophagus taurus, conditional male dimorphism is associated with alternative reproductive tactics: majors fight and guard females whereas minors sneak copulations. Furthermore, variation in dung beetle population density has different fitness consequences for each male morph, and theory predicts that higher population density might select for a higher frequency of minors and/or greater expenditure on weaponry in majors. Because adult dung beetles provide offspring with all the nutritional resources for their development, maternal effects strongly influence male phenotype.Entities:
Mesh:
Year: 2012 PMID: 22823456 PMCID: PMC3506554 DOI: 10.1186/1471-2148-12-118
Source DB: PubMed Journal: BMC Evol Biol ISSN: 1471-2148 Impact factor: 3.260
Figure 1The relationships between female weight, brood mass weight, and pronotum width of their male offspring. A. The body weight of female Onthophagus taurus positively affected the weight of the brood masses they produced (the shaded area represent predicted values based on the 95% confidence intervals of the parameters of the model used). B. The weight of these brood masses positively affected the pronotum width of the male offspring that emerged from them (the shaded area represent predicted values based on the 95% confidence intervals of the parameters of the model used).
Model selection statistics for the weight of brood masses produced by females of
| Null | 4 | - 1153.7 | | |
| Female weight | 5 | - 1133.3 | 40.81 | |
| Female weight + M group | 6 | - 1132.3 | 2.14 | 0.14 |
| Female weight + PM group + M group | 7 | - 1132.1 | 0.27 | 0.60 |
| Female weight + PM group + M group + | 8 | - 1131.6 | 1.07 | 0.30 |
| Female weight : PM group | ||||
| Female weight + PM group + M group + | 9 | - 1131.5 | 0.10 | 0.75 |
| Female weight : PM group + | ||||
| Female weight : M group | ||||
| Female weight + PM group + M group + | 10 | - 1131.5 | 0.01 | 0.91 |
| Female weight : PM group + | ||||
| Female weight : M group + | ||||
| PM group : M group | ||||
| Female weight + PM group + M group + | 11 | - 1131.3 | 0.47 | 0.50 |
| Female weight : PM group + | ||||
| Female weight : M group + | ||||
| PM group : M group + | ||||
| Female weight : PM group : M group | ||||
Females were assigned to experimental groups that differed in population density during the pre-mating period (PM), and in the number of possible mates during the mating period (M). The effect of female weight was added as a covariate, female identity was added as a random effect in all models (estimated as 0.323 standard deviation in the full model), and the variance was modeled as a power function of the fitted vales with an estimated parameter value of 1.260 in the full model. Likelihood ratios were calculated as the absolute difference between the - 2 x log Likelihood of the two models being compared, and each model is being compared to the model that is one row above. Comparing these models in terms of their AIC values returns qualitatively similar results.
Model selection statistics for the pronotum width of male offspring from females of
| Null | 5 | - 114.19 | | |
| Brood mass weight | 6 | - 57.72 | 112.93 | |
| Brood mass weight + M group | 7 | - 56.10 | 3.24 | 0.07 |
| Brood mass weight + M group + PM group | 8 | - 56.18 | 0.16 | 0.69 |
| Brood mass weight + M group + PM group + Brood mass weight : PM group | 9 | - 54.36 | 3.65 | 0.06 |
| Brood mass weight + M group + PM group + | 10 | - 53.14 | 2.43 | 0.12 |
| Brood mass weight : PM group + | | | | |
| Brood mass weight : M group | | | | |
| Brood mass weight + M group + PM group + Brood mass weight : PM group + | 11 | - 53.13 | 0.03 | 0.87 |
| Brood mass weight : M group + | | | | |
| PM group : M group | | | | |
| Brood mass weight + M group + PM group + | 12 | - 53.08 | 0.09 | 0.76 |
| Brood mass weight : PM group + | ||||
| Brood mass weight : M group + | | | | |
| PM group : M group + | | | | |
| Brood mass weight : PM group : M group | ||||
Females were assigned to experimental groups that differed in population density during the pre-mating period (PM), and in the number of possible mates during the mating period (M). The effect of brood mass weight was added as a covariate, the replicate mating chamber was added as a random effect, and female identity (nested within the replicate mating chamber) was also added as a random effect in all models. The random effects in the full model were 0.069 standard deviation for the replicate mating chamber and 0.115 standard deviation for female identity. The variance was modeled as a power function of the fitted values with an estimated parameter value of - 4.480 in the full model. Likelihood ratios were calculated as the absolute difference between the - 2 x log Likelihood of the two models being compared, and each model is being compared to the model that is one row above. Comparing these models in terms of their AIC values returns qualitatively similar results.
Models fitted to the allometry between horn length and pronotum width of male
| Δ | |||
|---|---|---|---|
| Sigmoidal Weibull growth function | - 981.318 | 2.571 | |
| A (asymptote) = 0. 700975 | |||
| Drop (asymptote minus y intercept) = 0. 684813 | |||
| lrc (ln rate constant) = 13. 622203 | |||
| pwr (power x is raised to) = 55. 655926 | |||
| Four-parameter logistic | - 981.127 | 2.762 | |
| lA (lower asymptote) = 0. 0447065 | |||
| uA (upper asymptote) = 0. 7220289 | |||
| xmid (x value for inflection point) = 0. 7787523 | |||
| scal (scale parameter) = 0. 0091249 | |||
| Three-parameter logistic | - 977.034 | 6.855 | |
| A (asymptote) = 0.7306256 | |||
| xmid (x value for inflection point) = 0.7774247 | |||
| scal (scale parameter) = 0.0102605 | |||
| Linear | - 721.143 | 262.746 | |
| a (intercept) = −6.3043 | |||
| b (slope) = 8.6193 |
Male offspring were pooled across females from all experimental treatments. The best model is in bold and the remaining models are sorted below by increasing values of AIC.
Figure 2The allometry of horn length on pronotum width of males in Males in the sample were the pooled offspring produced by females from all our experimental groups (see Methods). Both axes were transformed using natural logarithms, the curve was fitted with a Richards’ growth function (parameters in Table 3), and the shaded area represents predicted values based on the 95% confidence intervals of the parameters of the model used.
Model selection statistics for the allometry between horn length and pronotum width in
| | |||||
|---|---|---|---|---|---|
| | | ||||
| | Pre-mating group (PM) | | | | |
| 2 | All parameters ~ PM | 10 | 533.39 | 17.47 | |
| 3 | A ~ PM; μ, | 7 | 524.68 | 0.06 | 0.81 |
| 4 | μ ~ PM; A, | 7 | 533.20 | 17.11 | |
| 5 | 7 | 533.04 | 16.78 | ||
| 6 | 7 | 525.49 | 1.68 | 0.20 | |
| | Mating group (M) | | | | |
| 7 | All parameters ~ M | 10 | 525.10 | 0.90 | 0.92 |
| 8 | A ~ M; μ, | 7 | 524.75 | 0.21 | 0.65 |
| 9 | μ ~ M; A, | 7 | 525.05 | 0.81 | 0.37 |
| 10 | λ~ M; A, μ, and | 7 | 524.95 | 0.60 | 0.44 |
| 11 | 7 | 524.79 | 0.29 | 0.59 | |
All models were fitted using the Richards’ growth function (see Table 3). Individuals in the sample are the male offspring produced by females from experimental groups that differed in population density during the pre-mating period (PM), and in the number of possible mates during the mating period (M). The set of models being compared is composed of a full model with common parameters across experimental groups (Model 1), and models in which one (or all) of the parameters were allowed to have different values for each pre-mating or mating experimental groups (indicated by ~ PM or ~ M). The variance was modeled as an exponential function of the fitted values with an estimated parameter value of - 1.853 in the full model with common parameters across experimental groups (Model 1). Likelihood ratios were calculated as the absolute difference between the - 2 x log Likelihood of the two models being compared, and every model is being compared to the model in italic (Model 1). Comparing these models in terms of their AIC values returns qualitatively similar results.
Figure 3The horn length allometry of the male offspring produced by females from different experimental groups. These groups differed in the population density experienced by females during their pre-mating (PM) period. Offspring produced by females from the low-density experimental group are indicated by open circles and a continuous curve, whereas offspring produced by females from the high-density experimental group are indicated by crosses, and a broken curve. Again, both axes were transformed using natural logarithms, and the curves were fitted with a Richards’ growth function, but this time (A) only parameter μ (Model 4), (B) or parameter λ (Model 5) were allowed to vary between the experimental groups, whereas parameters A and v were always common across experimental groups (see Table 4). A. According to the model that allows only parameter μ to vary between experimental groups (Model 4, Table 4), the vertical dotted line depicts a value of body size for which the model predicts a horn length 8.4% greater for offspring of females that experienced high population density in their pre-mating period (upper dotted horizontal line) than for offspring of females that experienced low population density during their pre-mating period (lower dotted horizontal line). This line was chosen to depict the biggest possible difference in the horns of offspring produced by females of the two experimental groups described above.