Table 1 Best supported PGLS models from AIC analysis, with adjusted R2 and Pagel’s λ, a measure of phylogenetic signal.

From: Aquatic birds have middle ears adapted to amphibious lifestyles

Species included in analysis

Anatomical category

Dependent variable

Model

Adjusted R2

λ

All species

Impedance-matching

log(tympanic membrane area)

log(head mass) + ecology

0.7

0.56

log(footplate area)

log(head mass) + ecology

0.67

0.75

log(tympanic membrane area/footplate area)

log(head mass) × ecology

0.27

0.16

log(columella offset)

log(head mass) + ecology

0.53

0.4

log(umbo height)

log(head mass) + ecology

0.34

0.43

log(tympanic membrane angle)

log(head mass) + ecology

0.27

0.011

log(extrastapedius length)

log(head mass) + ecology

0.59

0.65

log(round window area)

log(head mass) + ecology

0.67

0.61

Cochlear aqueduct

log(cochlear aqueduct area)

log(head mass)

0.31

0.85

Air volume

log(cranial air volume)

log(head mass) + ecology

0.82

0.011

Columella

log(columella length)

log(head mass) × ecology

0.85

0.65

log(columella volume)

log(head mass)

0.78

0.46

Aquatic only

Impedance-matching

log(tympanic membrane area)

log(head mass) + dive score

0.78

0.0011

log(footplate area)

log(head mass) + dive score

0.79

0.7

log(tympanic membrane area/footplate area)

log(head mass) + dive score

0.22

0.045

log(columella offset)

log(head mass) + dive score

0.4

0.63

log(umbo height)

log(head mass) + dive score

0.13

0.0011

log(tympanic membrane angle)

log(head mass)

0.024

0.0011

log(extrastap-edius length)

log(head mass) + aquatic foraging lifestyle

0.5

0.75

log(round window area)

log(head mass)

0.62

0.51

Cochlear aqueduct

log(cochlear aqueduct area)

log(head mass) + dive score

0.55

0.92

Air volume

log(cranial air volume)

log(head mass) + aquatic foraging lifestyle

0.78

0.2

Columella

log(columella length)

log(head mass) × aquatic foraging lifestyle

0.87

0.8

log(columella volume)

log(head mass) + aquatic foraging lifestyle

0.85

0.0011