Table 1. ANOVA on fitness measures for crop-wild hybrid sunflowers grown under competitive conditions in Kansas, USA.
Prob. Emerged1 | Prob. Surv. Reprod.1 | Seeds per Repr. Plt2 | Seeds per Emgd Sdling2 | Seeds per Seed Plted2 | ||||||||
Source | ndf3 | ddf3 | F | P-value | F | P-value | F | P-value | F | P-value | F | P-value |
Frequency of Hybrids | 1 | 55 | 0.23 | 0.6371 | 0.14 | 0.7102 | 6.19 | 0.0159 | 7.57 | 0.008 | 5.46 | 0.0231 |
Interspec Competitors | 1 | 55 | 0 | 0.9707 | 0.74 | 0.3947 | 61.06 | <.0001 | 50.19 | <.0001 | 36.72 | <.0001 |
Density of Seeding | 2 | 55 | 0.06 | 0.9456 | 33.41 | <.0001 | 292.8 | <.0001 | 315.6 | <.0001 | 215.53 | <.0001 |
Freq*Interspec | 1 | 55 | 0.04 | 0.8514 | 0.26 | 0.6138 | 0.52 | 0.4742 | 0.23 | 0.63 | 0 | 0.9872 |
Freq*Dens | 2 | 55 | 1.07 | 0.3499 | 0.08 | 0.9254 | 1.81 | 0.1736 | 1.85 | 0.167 | 2.56 | 0.0864 |
Interspec*Dens | 2 | 55 | 0.05 | 0.9498 | 0.18 | 0.8333 | 2.9 | 0.0636 | 3.14 | 0.0513 | 3.14 | 0.0511 |
Freq*Interspec*Dens | 2 | 55 | 0.47 | 0.6251 | 0.92 | 0.4063 | 0.08 | 0.9229 | 0.01 | 0.9907 | 0.36 | 0.6993 |
Cross Type | 3 | 179–186 | 65.09 | <.0001 | 1.45 | 0.2305 | 197.9 | <.0001 | 159.5 | <.0001 | 168.17 | <.0001 |
Freq*Cross | 3 | 179–186 | 0.24 | 0.8667 | 1.55 | 0.2036 | 1.66 | 0.1778 | 4.09 | 0.0078 | 2.81 | 0.0412 |
Interspec*Cross | 3 | 179–186 | 1.18 | 0.3178 | 0.75 | 0.5227 | 1.06 | 0.3679 | 1.8 | 0.1492 | 1.88 | 0.1341 |
Dens*Cross | 6 | 179–186 | 0.59 | 0.7406 | 1.48 | 0.1875 | 14.68 | <.0001 | 13.39 | <.0001 | 11.52 | <.0001 |
Freq*Interspec*Cross | 3 | 179–186 | 0.29 | 0.8338 | 0.68 | 0.5654 | 0.93 | 0.4292 | 0.39 | 0.7576 | 0.46 | 0.7125 |
Freq*Dens*Cross | 6 | 179–186 | 0.59 | 0.7414 | 0.49 | 0.8174 | 0.69 | 0.6548 | 0.48 | 0.8259 | 0.63 | 0.7057 |
Interspec*Dens*Cross | 6 | 179–186 | 0.31 | 0.9306 | 0.33 | 0.9185 | 2.35 | 0.033 | 2.19 | 0.046 | 1.4 | 0.2167 |
Freq*Interspec*Dens*Cross4 | 6 | 179–186 | 0.94 | 0.4668 | – | – | 0.12 | 0.9945 | 0.22 | 0.9687 | 0.55 | 0.7677 |
Meristem Damage | 3 | 1941 | – | – | – | – | 3.95 | 0.0485 | 0.11 | 0.7377 | 2.53 | 0.1138 |
Notes: These analyses explore the effects of experimental treatments on the probability that focal seeds emerged and survived to reproduce, the number of seeds produced by reproductive plants, the number of seeds produced by emerged seedlings, and the number of seeds produced by each seed planted the previous fall (see text for details). P-values>0.05 are bolded to emphasize significance.
Binary life cycle data (probability of emergence and survival to reproduction) analyzed using residual pseudo-likelihood and the logit link function in SAS Glimmix.
Seeds per reproductive plant, Seeds per emerged seedling, and Seeds per planted seed were all natural log transformed (ln(y+1)).
ndf and ddf, numerator and denominator degrees of freedom for each trait, respectively.
This 4-way interaction was left out of the probability of survival to reproduction analysis because the model could not otherwise converge.