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Table 2 List of the five landmarks with the greatest variation across the cranium for all cetaceans, archaeocetes, odontocetes, mysticetes, and terrestrial artiodactyls

From: Wonky whales: the evolution of cranial asymmetry in cetaceans

Suborder

Average asymmetry in the skull

(x̄ρ)

1st highest landmark of variation

2nd highest landmark of variation

3rd highest landmark of variation

4th highest landmark of variation

5th highest landmark of variation

Specimen showing top 5 landmarks (red)

Landmark description

ρland

Landmark description

ρland

Landmark description

ρland

Landmark description

ρland

Landmark description

ρland

All cetaceans

0.268

L74: Dorsal medial maxilla (suture with nasal and premaxilla)

0.010

L68: Posterior lateral corner of nasal

0.009

L71: Posterior dorsal premaxilla

0.009

L121: Posterior point of nasal

0.008

L67: Left anterior lateral nasal

0.007

 

Archaeocetes

0.251

L72:

Anterior lateral ventral premaxilla

0.007

L69: Tip of rostrum, anterior dorsal side, anterior midline of tooth row

0.007

L70: Anterior dorsal premaxilla

0.007

L82: Jugal posterior ventral

0.006

L73: Anterior lateral ventral maxilla

0.006

Odontocetes

0.290

L74: Dorsal medial maxilla (suture with nasal and premaxilla)

0.013

L68: Posterior lateral corner of nasal

0.011

L71: Posterior dorsal premaxilla

0.010

L121: Posterior point of nasal

0.009

L67: Left anterior lateral nasal

0.009

Mysticetes

0.191

L78: Posterior ventral lateral most point of maxilla (near orbit)

0.005

L79: Posterior tooth row lateral maxilla

0.005

L72: Anterior lateral ventral premaxilla

0.005

L71: Posterior dorsal premaxilla

0.005

L122: Anterior medial frontal

0.005

Terrestrial artiodactyls

0.171

L83: Lateral posterior frontal (posterior lateral parietal suture)

0.006

L87: Anterior medial parietal

0.005

L97: Posterior lateral most point of the mandibular articular process

0.005

L80: Jugal anterior dorsal

0.005

L98: Lateral posterior squamosal (occipital suture)

0.004

  1. ρ is the radius value calculated as the Euclidean distance between the computer-mirrored landmark and the manually placed landmark. The larger the value for ρ, the more it is displaced, indicating asymmetry between the two sides of the cranium. x̄ρ is the average of the total radii (∑ρ) values across the skull for all the specimens in that group. x̄ρland is the average radii across all specimens in that group for that landmark. Each image shows the position of the five landmarks of greatest variation for each respective group. Skulls not to scale