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More on sauropod necks 2



Continuing from
 
Andreas Christian & Wolf-Dieter Heinrich wolf-dieter.heinrich@rz.hu-berlin.de: The neck posture of Brachiosaurus brancai, Mitteilungen aus dem Museum für Naturkunde zu Berlin, Geowissenschaftenliche Reihe 1, 73 -- 80 (19 November 1998)
 
There's an impressive table of "Estimates of the cross-sectional areas A and calculations of the compressive forces F acting on the intervertebral discs at different colations along the neck of B[...] for three different hypothetical postures. x: distance from the occipital condyle." At x = 82 cm F is highest for the vertical and lowest for the mounted posture, at x = 1.42 m it's highest for the horizontal and lowest for the mounted posture, and at all other x the vertical posture is best and the horizontal one worst. This effect increases strongly with x. "The accuracy of these data depends on the precision of the estimates of segment masses provided by Gunga et al. (1995). A systematic error in these data would not affect our conclusions [...]. The pattern of compressive forces is very different from the pattern of [...] [A] in both horizontal and mounted neck posture. [...] Hoewever, even in this posture considerable deviations between the curves of cross-sectional areas and compressive forces, respectively, occur at the base of the neck. This might indicate that the middle fraction of the neck was slightly inclined backwards [!] giving the neck a [very slightly] S-like shape [...] as suggested by Paul (1988). Such a change of the neck posture would barely affect the pattern of compressive forces in the cranial two thirds of the neck but with the neck's center of mass being clocated more or less directly above its base, bending moments and compressive forces would be considerably reduced in this region." This fits the short, thin tail that was probably unable to counterbalance the neck.
    "The neural spines of the cervical vertebrae 9 to 13 are not preserved (see above) and might have been somewhat higher than reconstructed. Furthermore, it cannot be excluded that some ligaments were located above the spinal processes at the base of the neck where it was curved backwards. Therefore, the lever arms of the epaxial muscles might be underestimated at the base of the neck, starting at a[n x] [...] of about 6 m [...]. Longer lever arms would lead to lower compressive forces in this region making fit better the curves.
 
Discussion
 
[...] conclusively proves[...] that the neck of B[...] was habitually kept in a nearly vertical posture [...] The reconstructions of Bakker (1987) and Paul (1988) fit well to this result [...]. The conspicious [sic] cervical ribs are not strong enough for transmitting high forces onto the vertebral centra. Due to the short distance between the cervical ribs and the intervertebral joints, the resulting torques about the intervertebral joints cannot have been sufficiently high for supporting a more horizontal neck posture as suggested by Frey & Martin (1997) [and the Oryctos paper]. However, tensile forces transmitted by the cervical ribs might have been effective in stabilizing the neck when it was occasionally slightly bent backward or in braking backward movements of the neck."
 
This ironically fits the fact that the Oryctos paper says that "engineering masts [...] must have at least three, symmetrically disposed, members of similar sense (all tensile or all compressional" -- the dorsal muscles, ligaments etc. plus the 2 sets of cervical ribs makes 3 tensile members rather than 1 tensile and 2 compressional ones. BTW, wouldn't 1 medially placed ventral compressional brace be more effective than 2 ventrolateral ones?
 
"It should be pointed out[...] that the method used in this study does not rely on absolute data on the mass distribution in the neck. Only marked relative differences between the masses of different neck segments would considerably change the calculated pattern of forces along the neck. Therefore, the same results would have been obtained with an overall heavier or lighter neck."
    "It is very unlikely that the middle part of the neck of B[...] frequently formed angles of more than about 15° to 20° with the vertical in any direction. B[...] might have been able to hold the neck in a very inclined or even in a fully horizontal posture [assuming the animal ever drunk], but regardless of how flexible the neck was (see e.g. Paul (1988) vs. Martin (1987)) this could have been done only occasionally" or "would be reflected the distribution of" A.
    "The neck posture must have been nearly vertical during most of the feeding time, [... t]herefore, B[...] could not exploit a large volume of feeding space as it was suggested for the use of a long neck by Martin (1987)"
 
Then they calculate said volume at about 31 m³, and think 20 -- 30 m³ or less are more probable for regular feeding. "The usual variation in feeding height probably was just about 2 m." Intraspecific (as well as interspecific) competition must have been very low.
 
"The results presented here cannot be applied to other sauropods without specific examination. Body proportions differ considerably among sauropods (McIntosh 1990, 1997), important morophological features of B[...], like the relative forelimb length, are not typical of sauropods (Dodson 1990), and the neck posture might have been very different in other forms (see e.g. Borsuk-Bialynicka 1977) [don't ask me why they cite Opisthocoelicaudia for neck affairs...]."