Key linear measurements and ratios of modern horse trackways in different gaits (data from [25, 34]; and original data, 2022).
Abstract
The authors here apply a refined methodology to determine the gaits of fossil equids. Miocene trackways of Cremohipparion near Jumilla, Spain, contain three sets of tracks of equids trotting at around 2.9–3.4 m/s, crossed by another three sets of tracks of perhaps younger equids at play galloping at around 5.2–5.6 m/s. Other Miocene trackways include three sets of Hippotherium near Osoppo, Italy, galloping at around 6.2–6.5 m/s, and one of Scaphohippus from Barstow, California, in the United States, likely engaged in a rack (or less likely a trot) at 2.1 m/s. Pliocene trackways include one Hipparion near Elche, Spain, trotting at around 3.5 m/s, and three trackways of Eurygnathohippus from Laetoli, Tanzania, of equids racking (with one perhaps engaged in a running walk) at around 2.1–3.1 m/s, including tracks of what is likely a foal being supervised by its mare. Finally, a Pleistocene trackway of Equus near Cardston, Alberta, Canada, shows a horse in a gallop at around 6.6 m/s. Hence, Miocene to Pleistocene fossil trackways reveal that equids in the past possessed standard gaits (trot, gallop) as well as alternative lateral gaits (rack), and had similar herding behaviors found in modern horses today.
Keywords
- horse gaits
- fossil horses
- equids
- horse trackways
- mammal behavior
- mammal locomotion
1. Introduction
Quadrupedal gaits have been variously classified in terms of symmetry (i.e. symmetrical gaits wherein the motion of the limbs on one side of the animal is mirrored by the motion on the other side, versus asymmetrical gaits where it is not); temporal foot sequence (i.e. lateral sequence wherein the sequence of limbs lifting off the ground is left hind-left front-right hind-right front versus diagonal sequence wherein the sequence of limbs is left hind-right front-right hind-left front); temporal couplet pairings (i.e. lateral-couplet wherein the ipsilateral pairs of limbs land closer together in time versus diagonal couplet wherein the diagonal pairs of limbs land closer together in time); coordination of limbs (i.e. laterally coordinated gaits wherein ipsilateral limb pairs move forward together in unison or near unison, versus diagonally coordinated gaits wherein diagonal limb pairs do so, versus square gaits wherein each limb moves more or less independently); and beats (i.e. two-beat gaits with ipsilateral or diagonal limb pairs contacting the ground close together, versus three-beat gaits involving a hind limb pair contacting the ground followed by independent front limbs contacts, and four-beat gaits wherein all four limbs contact the ground independently). For more on the classification of quadrupedal gaits see [1, 2, 3, 4, 5, 6, 7].
The slower gaits are four-beat walking gaits. They are symmetrical, involve a pendulum-like action of swinging legs wherein all four limbs operate relatively independently of each other (i.e. square), lack suspended phases (i.e. have a duty factor above 0.50 as hind limbs are on the ground for more than 50% of the stride cycle), and possess alternating three- and two-limb support structures. Such walks may be lateral-sequence diagonal-couplet (as in salamanders and hedgehogs), diagonal-sequence diagonal-couplet (as in crocodilians and primates), or lateral-sequence (ipsi)lateral-couplet (as in carnivores and ungulates). Most medium-speed gaits have periods of suspension wherein all four limbs are off the ground at the same time (and so possess a duty factor of less than 0.50), and are two-beat gaits that involve coordination of ipsilateral or diagonal limbs with bouncing or spring-like mechanics. The diagonally coordinated trot, with a two-limb diagonal support structure and diagonal couplets, is the medium-speed gait of most quadrupeds. A few quadrupeds, such as camels, employ the ipsilaterally coordinated pace, with a two-limb ipsilateral support structure and ipsilateral couplets. The fastest gaits are asymmetrical and involve the coordination of contralateral legs operating in a leaping and strut-like manner, with extensive periods of four-limb suspension. If all four limbs are employed together we have the pronk or stott common to antelopes; if the contralateral hind limbs are employed in unison we have the bound (half or full) of rabbits; and finally if the contralateral hind limbs are employed sequentially then we have the gallop, either transverse as in ungulates with hind and fore legs mirroring each other, or rotary as in carnivores without such mirroring [2, 3, 4, 8, 9, 10, 11, 12, 13].
Among mammals, horses possess one of the most diverse gait-sets so-far known [5, 6, 14, 15]. Various breeds have been observed employing 14 out of around 17 major quadrupedal gaits [2, 3, 13, 14]. Not only do horses utilize the standard square four-beat lateral-sequence lateral-couplet walk, along with the diagonally coordinated two-beat diagonal-sequence diagonal-couplet trot, and the asymmetrical three-beat canter and transverse four-beat gallop (with a footfall sequence of left hind-right hind-left front-right front), but select breeds can also employ more unusual gaits. For example, the diagonally coordinated lateral-sequence diagonal-couplet walk (fox walk) and two-beat lateral-sequence diagonal-couplet trot (fox trot) are found in the Missouri Fox Trotter and Walkaloosa [16]. Also occurring are intermediate speed laterally coordinated gaits including the paso corto and paso largo of the Paso Fino Horse [17], the running walk (four-beat) and stepping pace (two-beat) of the Tennessee Walking Horse, the four-beat rack of the American Saddlebred and related tölt of the Icelandic Horse, and the two-beat pace of the Icelandic and Standardbred [18, 19]. Horses also on occasion utilize the asymmetrical rotary gallop (for quick initial bursts) with a footfall sequence of right hind-left hind-left front-right front, the asymmetrical half bound leap (for jumping over obstacles or in the ring) off the back pair of legs, as well as the even more unusual stott (in the ring or when startled) wherein a horse leaps into the air with all 4 ft employed simultaneously as in the Lipizzaner [2, 3, 13, 14].
Traditionally the square lateral-sequence lateral-couplet walk, the diagonally coordinated trot, the asymmetrical gallop, and sometimes the asymmetrical canter, were considered to be the natural gaits of the horse whereas the laterally coordinated pace, rack, fox trot, and running walk were considered to be “artificial” gaits as they did not occur in all horse breeds and were not always spontaneously expressed in those breeds in which they did occur. It was thus hypothesized that such gaits were introduced by humans, either through breeding or training. For example, Hildebrand, one of the pioneers in the study of animal gaits, wrote that the horse, on account of the training provided by humans, “has learned to be versatile in the selection of gaits and also to use gaits (termed artificial) that are unnatural to the species and unique to itself” ([14], p. 701). Such a view was perhaps influenced by the words of Muybridge [20] who claimed of the rack that “It is an unnecessary and unnatural gait of the horse, and it is scarcely probable that the ancients trained the animal to its use.” And more recently the abstract of a study on Tennessee Walking Horse gait genetics implied the running walk’s recent development, stating “Following domestication, man selected the horse primarily for the purpose of transportation rather than consumption; this selective strategy created divergent traits for locomotion” ([21], p. 1377).
Be that as it may, there is now solid evidence from fossil horse trackways that ipsilaterally coordinated four-beat running gaits including the rack and perhaps running walk occurred in extinct horse lineages [22, 23, 24, 25]. There is also literary and artistic evidence of the presence of lateral gaits in ancient horses. For example, Pliny the Elder, in his
We have previously examined contemporary horse gaits and the tracks they leave behind and have employed them to determine the gaits displayed by fossil horses [22, 23, 24, 25]. We here refine our methodology and apply it to the study of fossil horse trackways found to be gaitable, i.e. trackways of single individuals with a series of four or more prints.
2. Materials and methods
Previously published photos, diagrams, and data regarding the footprints left by fossil horses were examined in order to isolate or estimate these key linear kinematic values and footprint patterns for fossil horse trackways [22, 23, 24, 25, 28, 29, 30, 31, 32]. In particular, data from the following 15 trackways were examined: GQ-1 from the Rainbow Basin, Barstow, California of 14.5 Ma ([25], p. 162, Table 5, and p. 163, Figure 5; as well as new material presented below); HSA-9, HSA-10, HSA-11, HSA-12, HSA-13, and HSA-14 from the Hoya de la Sima site in the Jumilla-Ontur Basin near Jumilla, Murcia, Spain formed around 8.7–7.8 Ma ([33], p. 260, Figure 3, p. 263, Table 1, and pp. 264–265); OS-3, OS-4, and OS-5 from Colle di Osoppo, Osoppo, Italy of ca. 6.0–5.3 Ma ([28], p. 225, Figure 4, and pp. 229–230, Tables 1–3 and 6–8); SC-1 from the Sierra del Colmenar section of the Bajo Segura Basin, outside of Elche, Spain formed 4.9–4.2 Ma ([29], p. 12, Figure 2); LAET-A, LAET-B, and LAET-C from Site G in the Upper Laetoli beds of Tanzania from 3.7 Ma ([22], pp. 472–473, Tables 12.5–12.8, pp. 476–477, Figures 12.16 and 12.17); and WB-1 from the Wally’s Beach deposit at St. Mary’s Reservoir, Cardston, Canada formed more recently around 13,000–11,000 years ago ([30], p. 218, Figure 16).
Key linear parameters and ratios were recorded from the data, sketches, and descriptions of the fossil horse trackways, as were the footprint patterns found therein. Based upon our previous work on modern horse gaits [7, 23, 24, 25, 34], and further refined here, the key linear kinematic parameters, ratios, and footprint patterns useful for the determination of horse gaits are as follows (definitions modified from [35]; see Figure 1).
Footprint width (FW): Greatest distance in centimeters across the middle portion of the hoof impression taken perpendicular to direction of travel (akin to greatest measurement across quarters, or central portion, of hoof).
Footprint length (FL): Distance in centimeters between anterior and posterior edges of hoof impression taken parallel to direction of travel (akin to measurement between toe and heel of hoof).
Stride length or cycle length (SL): Distance in meters between the anterior portion (i.e. toe of hoof) of successive footprints of the same foot parallel to the orientation of the trackway (ideally between left hind impressions if possible). The stride length tends to increase as a gait gets faster.
Stride length/horse height ratio (SL/H): Dimensionless speed ratio found by dividing stride length by horse height at the withers. As gaits get faster this number increases. In walking gaits this value is usually less than 1.0, between 1.0 and 2.0 in intermediate speed gaits, while in very fast gaits it can be above 2.0.
Distance between diagonal steps (DSD): Measurement in centimeters between anterior (i.e. toe) and posterior (i.e. heel) edges of contralateral front and hind hoof prints parallel to the orientation of the trackway.
Distance between ipsilateral steps (ISD): Measurement in centimeters between anterior (i.e. toe) and posterior (i.e. heel) edges of ipsilateral front and hind hoof prints parallel to the orientation of the trackway.
Ipsilateral step distance [overstep; overstrike]/Stride length ratio (ISD/SL): Distance between ipsilateral steps divided by the stride length. The ipsilateral overstep [overstrike] can reach as high as 15–30% in fast ipsilaterally coordinated gaits.
Diagonal/Ipsilateral step distance ratio (DSD/ISD): Distance between diagonal steps divided by distance between ipsilateral steps. This value is above 0.5 in square gaits, but increasingly lower than 0.5 in laterally coordinated gaits, and exceeds 1.0 in diagonally coordinated gaits.
Symmetry between diagonal and ipsilateral steps ([DSD1/DSD2 + ISD1/ISD2]/2): ½ × (diagonal step distance 1/diagonal step distance 2) + (ipsilateral step distance 1/ipsilateral step distance 2).
Average interior straddle (IS) [gauge]: Average distance in centimeters between quarters of contralateral front and hind hoof prints measured perpendicular to the orientation of the trackway. In the walk and running walk this value is typically positive but in gaits with high-lateral coordination the hind limbs are free to come in or cross the centerline without interference and so this value is often negative.
Interior straddle/hind hoof width (IS/HW): Ratio of average interior straddle divided by average hind hoof width. This value is negative in fast laterally-coordinated gaits such as the rack and pace, around zero in slow walks and trots, and positive in fast walks and trots.
Average foot pair lateral offset (LO): Average distance in centimeters between quarters of closest hoof print pairs whether formed by ipsilateral, diagonal, or contralateral front or contralateral hind measured perpendicular to the orientation of the trackway. This value is low when ipsilateral pairs of feet are close together but high when diagonal pairs are close together.
Foot pair LO/FW: Ratio of average foot pair lateral offset divided by average width of hoof print at quarters. This value is high for gaits with diagonal pairs landing close together in space but low for gaits with lateral pairs landing close together in space.
Angle of hoof impression (HA): Though we did not incorporate this data here as more study is needed, we also recommend measuring the angle each hoof impression makes (line drawn between anterior (toe) center and anterior (heel) posterior margins of hoof impression) in relation to a line drawn parallel to the orientation of the trackway. If 3D image generating software is available and made use of (which would be ideal) it would also be advisable to record any angle of deviation from the horizontal the hoof makes. This may yield important data allowing discrimination of gaits in the future or showing aspects of conformation, slippage, or change of direction.
The first key step in determining the gaits displayed by fossil horses is to determine the footfall sequence found in these trackways, and for this purpose it is necessary to distinguish fore feet (manus) from hind feet (pes). This is possible for modern and fossil horses as from the Miocene onward the front hooves of horses tend to be wider, more isometric (with a length/width ratio closer to 1.00) and circular in shape, and rounder at the tip, whereas the hind hooves tend to be narrower, less isometric and more oval in shape, and possess a more pointed tip (see Figure 2 below; see [7]).
The second key step for the determination of horse gait from tracks is estimation of the height (at withers) of the horse that made the tracks. This is difficult as one does not always know the species, age, gender, genetics, or development of the trackmaker. This is why trackway data is important, especially the size of the front hoof print. Still correlation of hoof size with horse height is lower (0.41) than that of a correlation of other skeletal elements such as the skull (0.83–91), metacarpal (0.90–0.95), metatarsal (0.87–0.91), and phalanges (0.81–0.91) (see [34, 36, 37, 38, 39, 40]). Moreover, the allometric ratios of the different limb bones can vary from one species to another [41, 42, 43] and this can affect height estimations. For these reasons, we believe that height of the trackmaker is best estimated by combining data from horse trackways and associated horse species osteology, giving 50% of the weight to the tracks themselves as they are the primary known factor about the print maker, a print maker whose species is a matter of some inference and whose population height can be variable, then giving 25% weight to the skull (if available) which correlates well with the size of fossil horses, and finally giving 25% weight to the other postcranial elements that closely correlate with overall height such as the metacarpal, metatarsal, proximal phalanx, and distal phalanx. This method allows different lines of evidence to estimate printmaker height in cases when the exact size and body ratios in relation to height are unknown for the printmaker.
After determining the measurements of the front hoof track, as well as associated skeletal elements such as the skull, metacarpal, metatarsal, and phalanges, it is necessary to multiply these values height estimation multipliers appropriate to the fossil horse tribe or grouping. We have calculated such multipliers elsewhere based upon heights of fossil horse species with complete skeletons, thereby arriving at multipliers for the different fossil horse subfamilies and tries including: Eocene subfamilies Propalaeotheriinae and Hyracotheriinae; the Oligocene subfamily Anchitheriinae; the late Miocene tribe Hipparionini; the Pliocene and Pleistocene tribe Equini; as well as the paraphyletic early Miocene merychippine group consisting of the genera
where CL = maximal skull length measured from the tip of the incisive bone to the nuchal crest; MT = greatest metatarsal III length, MC = greatest metacarpal III length, 1P3 = greatest proximal phalanx III length, 3P3 = greatest distal phalanx III length; FFL = front footprint length, and CLM, MTM, MCM, 1P3M, 3P3M, and FFLM are the multipliers for the matching fossil horse groupings (s).
With the footfall pattern determined and height of trackmaker estimated one can then reconstruct the gait of the trackmaker using five key linear track ratios (see Table 1): Step symmetry calculation (SS), stride length/horse height (SL/HT), interior straddle/hind hoof width (IS/HW), ipsilateral step distance/stride length (ISD/SL), and diagonal/ipsilateral step distance (DSD/ISD). The first three taken together distinguish asymmetrical from symmetrical gaits, and the latter three distinguish symmetrical gates. This can be seen by through Principal Component Analysis (see Figure 3). Based upon dimensionless speed, gaits are separated into slow walks (SL/HT = 0.78–1.09) and fast walks (SL/HT = 1.10–1.18); slow trots (SL/HT = 1.32 = 1.51) and fast trots (SL/HT = 1.55–1.80); slow running walks (SL/HT = 1.13–1.36) and fast running walks (SL/HT = 1.59–1.60); slow racks (SL/HT = 1.18–1.24) and fast racks (SL/HT = 1.39–1.70).
Gait | Average stride length (cm) | Average dimensionless speed (stride length/ height at withers) | Average ipsilateral step distance/stride length | Average diagonal/ipsilateral step distance | Average step symmetry (for ipsilateral and diagonal Steps) | Average interior straddle/hind hoof width | Average lateral offset/hind hoof width |
---|---|---|---|---|---|---|---|
Slow walk | 145.4 | 1.02 | −0.06 | −7.96 | 0.92 (0.86, 0.97) | 0.17 | 0.15 |
Fast walk | 159.7 | 1.13 | −0.01 | 11.75 | 0.86 (0.79, 0.94) | 0.04 | 0.23 |
Slow trot | 179.0 | 1.30 | −0.11 | −5.02 | 0.94 (0.92, 0.96) | 0.15 | 0.29 |
Fast trot | 240.9 | 1.71 | −0.01 | 11.70 | 0.88 (0.80, 0.96) | 0.16 | 0.39 |
Running walk | 213.8 | 1.40 | 0.16 | 1.21 | 0.90 (0.93, 0.87) | 0.00 | — |
Slow rack | 173.00 | 1.21 | 0.10 | 2.54 | 0.83 (0.78, 0.88) | −0.12 | 0.21 |
Fast rack | 215.7 | 1.51 | 0.28 | 0.37 | 0.83 (0.95, 0.71) | −0.37 | 0.58 |
Stepping pace | 240.0 | 1.59 | 0.31 | 0.26 | 0.89 (0.88, 0.90) | −0.15 | 0.59 |
Canter/gallop | 241.7/303.6 | 1.59/1.89 | 0.28/0.25 | 0.40/0.61 | 0.42 (0.68, 0.16)/0.53 (0.69, 0.36) | 0.15/0.48 | —/— |
The asymmetry of the galloping gait is reflected in the step symmetry (SS) calculation (i.e. ½ × [DSD1/DSD2 + ISD1/ISD2]). Symmetrical gaits of the horse (walk, rack, trot, running walk) tend to have a step symmetry between 0.80 and 1.00 while asymmetrical gaits of horses (canter and gallop) tend to have a step symmetry between 0.25 and 0.70. In symmetrical horse gaits, the three ratios of ipsilateral step distance/stride length (ISD/SL), diagonal/ipsilateral step distance (DSD/ISD), and interior straddle/hoof width (IS/HW), can go a long way in distinguishing one gait form another. Ipsilateral step distance/stride length (ISD/SL) is around −0.15 to 0.50 in walking and trotting gaits, but around 0.10–0.40 in the rack or pace. The diagonal/ipsilateral step distance (DSD/ISD) tends to have high negative or positive values in the walk and trot (−20 to −3 in slower versions, 3–20 in faster versions) whereas it is usually quite low in ipsilaterally coordinated gaits such as the rack, pace, and running walk (0.20–3.00). Finally, the interior straddle/hind hoof width ratio (IS/HW) tends to be positive in the walk and trot, but negative in the ipsilaterally coordinated gaits of running walk, rack, and pace (see Figure A1 [7, 25]).
Finally, to determine gait of a fossil horse trackmaker it is useful to compare the trackway with the standard footfall patterns and sequences left by modern horses in various gaits (see Figure 4). The galloping trackway is asymmetrical, and so will have a footfall sequence with two contralateral hind limbs landing in succession, whereas the other gaits being symmetrical will contain ipsilateral and diagonal pairs of limbs landing in succession. Walking, trotting, and slow racking gaits leave trackways with ipsilateral pairs of feet landing close together with a slight understep, overstep, or capping. Fast racking and pacing gaits have diagonal pairs of feet landing close together, with hind feet often crossing over the centerline. Galloping gaits have contralateral pairs of feet landing close together, but along with the running walk, often leave trackways of isolated prints without any obvious pairings, or with the canter leave a 1-2-1 pattern with the pair consisting of an overstep of ipsilateral feet. Lastly, the stride length is least with walking gaits, increases with medium speed trotting and racking gaits, and is greatest with galloping gaits (Figure 5). Stride length/height, which tends to be 1.10 or lower in a walk, 1.10–2.00 in a medium-speed trotting or pacing gait, and 1.50–2.50 in a gallop (see Table 1 above).
The last step is to estimate the speed of the trackmaker. For this purpose the authors have come up with a modified Alexander formula based upon study of modern horses in various gaits and speeds [7, 44], which is as follows:
where
3. Results
3.1 Trackways suggestive of diagonally coordinated trotting gaits in horses
Four fossil equid trackways suggesting a slow trotting gait are found at two different sites (see Tables 1 and 2 below). Three of these occur near each other at the Hoya de la Sima site in the Jumilla-Ontur Basin near Jumilla, Murcia, Spain from ca 8.7–7.8 Ma ([31, 33]; see Figures 6A and 7A above and below). Here overlapping tridactyl prints containing a large central hoof along with two smaller lateral hooves were preserved in gypsum layers and set down on a lake shore in the upper Tortonian (European Mammal Neogene Zone 11, hereafter MN 11). The size of the central hoof impression at the Hoya de la Sima site was around 9.3 cm in length and 7.5 cm in width (HSM-2). Three of the trackways (HSA-9, HSA-10, and HSA-11) contain impressions in which ipsilateral hind feet understep and partially overlap the front feet as suggested by a hoof impression with a rounded tip and shorter length located anteriorly. Trackway HSA-9 is 9.5 m long and contains 15 impressions of overlapping hooves, each impression around 14.5 cm long and 11 cm wide consisting of a large central hoof around 8.2–10.1 cm long typically followed by lateral toe impressions. The diagonal step distance is around 56.0 cm and the stride length is 137.0 cm. Trackway HSA-10 is 5.5 m long and contains eight impressions of overlapping hooves, each impression around 12.9 cm long and 10.8 cm wide. The diagonal step distance is ca. 62.9 cm and the stride length (steps 1–5) is around 167.0 cm. Trackway HSA-11 is 4.1 m long and contains six impressions consisting of overlapping hooves measuring around 15.1 cm long and 12.3 cm wide. The diagonal step distance is around 63.6 cm and the stride length is 152.0 cm. The interior straddle is around 20 cm.
Species | Track-way | Age (Ma) | Height of horse (cm) | Front central foof print length/width (cm) | Hind central hoof print length/width (cm) | Stride length (cm) | Lateral step length (cm) | Diagonal step length (cm) | Lateral offset of hoof pairs (cm) |
---|---|---|---|---|---|---|---|---|---|
GQ-1 | 14.5 | 77.5 | 5.0/3.5 | 5.2/3.5 | ca. 97.2 | 33.3 | 5.3 | 1.3 | |
HSA-9 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | 137.0 | ca. −9.6 | 56.0 | 0.0 | |
HSA-10 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | ca. 167.0 | ca. −9.6 | ca. 62.9 | 0.0 | |
HSA-11 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | 152.0 | ca. −7.3 | 63.6 | 0.0 | |
HSA-12 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | 277.4 | 58.1, 51.6 | 51.6, 58.1 | — | |
HSA-13 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | 277.4 | 58.1, 58.1 | 51.6, 51.6 | — | |
HSA-14 | 8.7–7.8 | 100.7 | 9.3/ca. 7.5 (HSM-2) | —/— | 309.7 | 64.5, 64.5 | 64.5, 51.6 | — | |
OS-3 | 6.0–5.3 | 110.1 | 8.4/7.5 | —/— | 344.0 | 77.5, 76.5 | 75.0, 80.0 | — | |
OS-4 | 6.0–5.3 | 109.6 | 8.3/8.4 | —/— | 361.5 | 84.0, 81.0 | 80.5, 84.0 | — | |
OS-5 | 6.0–5.3 | 102.5 | 7.0/7.5 | —/— | 343.0 | 81.0, 89.0 | 68.0, 77.0 | — | |
SC-1 | 4.9–4.2 | 99.8 | ca. 6.5/4.4 | ca. 7.7/4.4 | 173.8 | ca. −13.5 | 65.7 | ca. 0.0 | |
LAET-A (adult) | 3.7 | 122.1 | 8.8/8.0 | 7.5/6.5 | 137.0 | 34.5 | 18.0 | ca. 6.5 | |
LAET-B (mare) | 3.7 | 123.9 | 9.1/8.0 | 7.6/6.7 | 138.9 | ca. 27.7 | 25.1 | — | |
LAET-C (foal) | 3.7 | 87.9 | 6.4/4.0 | 6.1/4.1 | 94.4 | 23.9 | 10.8 | ca. 4.0 | |
WB-1 | ca. 0.01 | 120.5 | 10.5/10.5 | —/— | 356.6 | 87.3, 70.9 | 56.4, 100.0 | — |
There is also a trackway consisting of 10 hoof impressions in ipsilateral pairs located in the Sierra del Colmenar section of the Bajo Segura Basin, near the town of Elche, in the Alicante Province of Spain, likely of a trotting horse from around 4.9–4.2 Ma ([29]; see Figures 6B and 7B above). The trackway (SC-1) was laid down in early Pliocene (MN 14) evaporitic coastal muddy sands. The central footprint impressions are around 6.5 cm long and 4.4 cm wide, and the interior straddle between ipsilateral pair prints averages around 13.4 cm (12.7–14.1 cm) indicating a wide gauge trackway. The ipsilateral pairs of the trackway seem to contain an understepping separation of the front foot from the hind foot of 7 cm (−13.5 cm total) linked by an odd groove that Lancis and Estevéz [29] postulate is due to hoof sliding, or in our view a toe (side?) scraping across the ground prior to full foot impact. The understep is indicated by the fact that the anterior print is rounder in front while the posterior one is more oval in front, though the hind print is wider than the front print (perhaps due to partial collapse of sediment around the front foot). Hence we postulate a trotting gait (as seen in Figure 8 above) here though further study is warranted. As such the diagonal step distance (intercouplet distance) separating the ipsilateral pairs averages around 65.7 cm (65.0 cm, ca. 66.4 cm) and the stride length is about 173.8 cm.
3.2 Trackways suggestive of laterally coordinated gaits in fossil horses
As we have previously argued there are also trackways suggestive of laterally coordinated intermediate-speed gaits in fossil horses (see Tables 1 and 2 below).
The best preserved of these trackways are those of three hipparionin horses laid down in volcanic ash at Locality 8, Site G, in the Upper Laetoli beds in Tanzania some 3.66 Ma ([22, 23, 24, 25]; see Figures 9B,C and 10E below). The trackways, 151 to 251 cm in length, contain eight to 13 prints [23, 24]. Trackway LAET-A of an adult horse had ipsilateral step distances (footprints 2–6) that averaged 34.5 cm and diagonal step distances that averaged 18.0 cm, a stride length of 137.0 cm, with the prints forming a bowed or wave-like pattern made by diagonal pairs with lateral offsets around 6.5 cm ([22], 473). Trackway LAET-B of an adult horse (and likely a mare as it parallels and overlaps the trackway of a juvenile), had ipsilateral step distances (footprints 1–5) that averaged 25.1 cm and diagonal step distances that averaged around 27.7 cm, a stride length of 138.9 cm, and consisted of four isolated foot impressions with no obvious pairings. Finally, trackway LAET-C of a juvenile horse, had ipsilateral step distances (footprints 6–10) averaging 23.9 cm and diagonal step distances that averaged 10.8 cm, a lateral offset around 4.0 cm, with a stride length of 94.4 cm, and a trackway that is bowed with distinct diagonal pairs of hoof impressions. The central hoof prints from the Laetoli horse trackways themselves yield the following approximate measurements: LAET-A (adult), front hooves (manus) 8.8 cm long by 8.0 cm wide and hind hooves (pes) 7.5 cm long and 6.5 cm wide; LAET-B (adult), front hooves (manus) 9.1 cm long by 8.0 cm wide and hind hooves (pes) 7.6 cm long by 6.7 cm wide; LAET-C (juvenile), front hooves (manus) 6.4 cm long by 4.0 cm wide and hind hooves (pes) 6.1 cm long by 4.1 cm wide. The adult Laetoli trackways ([22], pp. 476–477, Figures 12.16 and 12.17) possessed negative interior straddle (narrow gauge) measurements of ca. −0.5 cm (LAET-A), −2.0 cm (LAET-B), and 0.0 cm (LAET-C).
Another fossil horse trackway (GQ-1; ichnospecies
3.3 Trackways suggestive of asymmetrical galloping gaits in fossil horses
Seven fossil horse trackways, from three different sites, are indicative of a galloping gait (see Tables 1 and 2 below). Three trackways (HSA-12; HSA-13; HSA-14) occur at the same Hoya de la Sima site in the Jumilla-Ontur Basin near Jumilla, Murcia, Spain where the trotting trackways are found ([31]; see Figures 12A and 13A above). They too were originally made on lake shore sediments of the upper Tortonian (MN 11) around 8.7–7.8 Ma. Trackway HSA-12 is 9.6 m long and consists of 21 individual impressions. The manus (front foot) print is around 9.3 cm long and 7.5 cm wide. The step lengths of HSA-12 (steps 1–5) are ca. 58.1, 51.6, 51.6, and 58.1 cm and the stride length is around 277.4 cm. Trackway HSA-13 is 3.3 m long and contains five to seven partly overlapping hoof impressions 14.9 cm long by 13.7 cm wide. The step distances (steps 1–5) are ca. 51.6, 58.1, 51.6, and 58.1 cm and the stride length is around 277.4 cm. Finally trackway HSA-14 is 2.5 m long and contains four to six impressions 14.4 cm long by 12.6 cm wide. The steps distances (steps 1–5) are ca. 64.5, 64.5, 64.5, and 51.6 cm and the stride length is around 309.7 cm.
Three more likely galloping trackways occur near each other on the Colle di Osoppo, near Osoppo, Friuli Venezia Giulia, Italy [28]. The prints were set down in a flood plain near a river in the late Messinian between 6.0 and 5.3 Ma. The three trackways (OS-3, OS-4, and OS-5) are between 8.4 and 9.2 m long and consist of 11 individual footprints which have large central hooves measuring 7.0–10.0 cm long by 6.0–10.0 cm wide, along with two small lateral hoof impressions located posteriorly. The central hoof foot impressions are around 8.4 (OS-3), 8.3 (OS-4), and 7.0 cm (OS-5) in length (see Figures 12B and 13B below). Trackway OS-3 contained step lengths (steps 4–8) of 75.0, 77.5, 80.0, and 76.5 cm, and a stride length of 344.0 cm. Trackway OS-4 contained step lengths (steps 7–11) of ca. 80.5, 84.0, 84.0, and 81.0 cm, and a stride length of 361.5 cm. Trackway OS-5 contained step lengths (steps 3–7) of 68.0, 81.0, 77.0, and 89.0 cm, and a stride length of 343.0 cm. Trackway OS-5, however, warrants further study as orientation of impressions at odd angles and poor preservation suggests the trackway may not belong to a single individual, nor that prints numbering 6 to 11 cross back and forth over trackway OS-4 several times.
Vincelette [25] also provided footprint parameters, based upon scale drawings [30], for a late Pleistocene set of footprints likely made by
4. Discussion
Modern horses (unless possessing a rare mutation) possess only one toe per leg, which consists of the previous central metapodials (metacarpals and metatarsals III) and phalanges (first, second, and third phalanges III). They evolved from early Eocene horses which were tetradactyl in the front limbs and tridactyl in the hind limbs, and from late Miocene tridactyl horses. The earliest horses studied here, from the Miocene and Pliocene, were all tridactyl, though the second and fourth digits were reduced in size. Quite often the lateral toes do not make impressions in the substrate, suggesting the horses are “functionally monodactyl” [46], and that the lateral toes have specialized functions, though this has been much debated [47]. The Pleistocene horses studied here were monodactyl.
Comparison of the data obtained from the fossil horse trackways with key kinematic parameters (Table 3) and footprint patterns (Figures 4 and 5 above) of modern horses leads to the recognition of four different gaits in fossil horse trackways, the trot, the running walk, the rack, and the gallop.
Species | Trackway | Stride length/height | Diagonal/ipsilateral step distance | Ipsilateral step distance/stride length | Interior straddle/hind hoof width | Lateral offset/hind hoof width |
---|---|---|---|---|---|---|
GQ-1 | 1.25 | 0.16 | 0.34 | −0.29 | 0.37 | |
HSA-9 | 1.36 | −5.83 | ca. −0.07 | 0.27 | 0.00 | |
HSA-10 | 1.66 | −6.55 | ca. −0.06 | 0.27 | 0.00 | |
HSA-11 | 1.51 | −8.71 | ca. −0.05 | 0.27 | 0.00 | |
HSA-12 | 2.75 | 1.00 | 0.20 | 0.57 | — | |
HSA-13 | 2.75 | 0.89 | 0.21 | 1.10 | — | |
HSA-14 | 3.08 | 0.90 | 0.21 | 0.30 | — | |
OS-3 | 3.12 | 1.01 | 0.22 | 1.17 | — | |
OS-4 | 3.30 | 1.00 | 0.23 | 0.71 | — | |
OS-5 | 3.35 | 0.85 | 0.25 | 0.13 | — | |
SC-1 | 1.74 | −4.87 | −0.08 | ca. 3.05 | 0.00 | |
LAET-A | 1.12 | 0.52 | 0.25 | −0.31 | ca. 1.00 | |
LAET-B | 1.12 | 0.91 | 0.18 | −0.07 | — | |
LAET-C | 1.07 | 0.45 | 0.25 | 0.25 | ca. 0.98 | |
WB-1 | 2.96 | 0.99 | 0.22 | 0.67 | — |
4.1 Diagonal trotting gaits in fossil horses
As noted earlier, four fossil equid trackways best match a slow trotting gait (see Tables 2–4, and Figures 6–8 above). This is based upon the fact that they are set down in a pattern of capping or slightly overstepping ipsilateral prints (ipsilateral step distance/stride length ranging from −0.05 to −0.08), at a moderate speed (stride length 130–180 cm; stride length/height ratios of 1.36–1.66), with a large negative diagonal/ipsilateral step length ratio of −5.0 to −10.0. Though a slow rack can also set down prints in ipsilateral pairs this usually occurs at shorter stride lengths (stride length/height around 1.20) and is accompanied by an interior straddle that is close to zero or negative as hind feet can cross the center line as there is less foot interference [25, 34]. Here though the interior straddle of the tracks varies from around 0.6–1.1 cm.
Species | Trackway | Pattern | Foot pairs | Relation of foot pairs | Gait | Estimated velocity (m/s) |
---|---|---|---|---|---|---|
GQ-1 | Bowed | Diagonal | Understep | Rack | 2.09 | |
HSA-9 | Parallel | Lateral | Understep | Trot | 2.91 | |
HSA-10 | Parallel | Lateral | Understep | Trot | 3.42 | |
HSA-11 | Parallel | Lateral | Understep | Trot | 3.17 | |
HSA-12 | Isolated | None (contralateral) | — | Gallop | 5.16 | |
HSA-13 | Isolated | None (contralateral) | — | Gallop | 5.16 | |
HSA-14 | Isolated | None (contralateral) | — | Gallop | 5.64 | |
OS-3 | Isolated | None (contralateral) | — | Gallop | 6.26 | |
OS-4 | Isolated | None (contralateral) | — | Gallop | 6.51 | |
OS-5 | Isolated | None (contralateral) | — | Gallop | 6.15 | |
SC-1 | Parallel | Lateral | Understep | Trot | 3.53 | |
LAET-A | Bowed | Diagonal | Understep | Rack | 3.03 | |
LAET-B | Isolated | None (ipsilateral) | — | Running Walk or Rack | 3.08 | |
LAET-C | Bowed | Diagonal | Understep | Rack | 2.09 | |
WB-1 | Isolated | None (contralateral) | — | Gallop | 6.57 |
Three of these trackways (HSA-9, HSA-10, and HSA-11) are from the Hoya de la Sima site near Jumilla, Spain [31, 33] consisting of overlapping tridactyl prints of ipsilateral feet formed around 8.7–7.8 Ma (see Figures 6A and 7A below).
Three species of tridactyl hipparionins are found in MN 11 strata in nearby Spain, a smaller form
Using the hipparionin multipliers (Table A1) we arrive at the following estimated heights: 82.1 cm (from the skull), 97.5 cm (from the metatarsal), 94.5 cm (from the hind first phalanx), and 112.3 cm (from the footprints). Assigning 25% weight to both the skull and postcrania and 50% to the footprints gives a height estimation of 100.7 cm for the trackmaking
The other trackway (SC-1) suggesting a trotting gait was located in the Sierra del Colmenar section of the Bajo Segura Basin, near Elche, Spain and formed around 4.9–4.2 Ma ([29]; see Figures 6B and 7B above). The trackway was likely made by the tridactyl horse species
If we use the hipparionin multipliers (Table A1), we arrive at the following height estimations for the trackmaker: 97.9 (from the skull), 139.7 cm (from the third metacarpal), 136.1 cm (from the third metatarsal), 131.4 cm (from the anterior first phalanx III), 127.3 cm (from the posterior first phalanx III), and 78.5 cm (from the footprints). The footprint height estimation is here much lower than the skeletal estimations suggesting the presence of a young individual here, different bone length proportions than the norm, or perhaps incorrect species assignment. In any case, by assigning 50% weight to the footprints, 25% to the postcrania, and 25% to the skull, we arrive at a height estimate of 99.8 cm for the
4.2 Lateral gaits in fossil horses
As we have previously noted, there are also trackways suggestive of laterally coordinated intermediate-speed gaits in fossil horses (see Tables 2–4, and Figures 9–11 above). This gait identification is suggested by footprint patterns wherein diagonal feet land near each other (low diagonal/ipsilateral step distance ratio of 0.15–0.95) at an intermediate speed (stride length of 90–150 cm; 1.20–1.50 stride length/height), with much overstepping (a large ipsilateral step distance/stride length ratio of 0.25–0.59). The other key identifying feature is the possession of a negative interior straddle (narrow gauge trackway), as laterally coordinated gaits have less potential limb interference and allow the hind limbs to cross the center line of the gait (possibly for balance and/or increased speed).
The tridactyl trackways (LAET-A; LAET-B; LAET-C) of the Upper Laetoli beds in Tanzania that formed some 3.66 Ma ([22, 23, 24]; see Figures 9B
If we take the above values and multiply them by the hipparionin height estimation multipliers (Table A1), we end up with the following height estimates in centimeters: 136.7 (from the skull), 138.6 (from the third metacarpal), 139.6 (from the front proximal phalanx III), and 106.2 (A), 109.8 (B), and 77.2 (C) from the hoof impressions. If, following the method noted above, we assign the 50% weight to the footprint, 25% to the skull, and 25% to the postcranial measurements, we arrive at the following size estimations for the adult
This yields the following key ratios for the three trackways. For trackway LAET-A: diagonal/ipsilateral step distance, 0.52; ipsilateral step distance/stride length, 0.25; stride length/horse height, 1.12; lateral offset/hind hoof width, 1.00; and for trackway LAET-B: diagonal/ipsilateral step distance, 0.90; ipsilateral step distance/stride length, 0.18; stride length/horse height, 1.12; and lateral offset/hind hoof width, 0.81. And for trackway LAET-C: diagonal/ipsilateral step distance, 0.45; ipsilateral step distance/stride length, 0.25; stride length/horse height, 1.07; lateral offset/hind hoof width 0.98.
The gait displayed by the three individuals (two adults and one juvenile) in these trackways have been variously described as a running walk [23, 24, 25], a singlefoot [22], or a tölt (Islandpferde Reitbuch, 286). Part of the inspiration for this study was to be able to reexamine these trackways and see if we could distinguish exactly which lateral gait(s) were displayed in the Laetoli hipparionin horses. We now believe we can. The values and characteristics noted above suggest that
Another fossil horse trackway (GQ-1; ichnospecies
The size of the
If we take these measurements and multiply them by the protohippin multipliers (Table A1), we arrive at the following height estimations in centimeters: 91.4 (from the skull), 90.3 (from the metacarpal), 89.5 (from the metatarsals), 93.9 (from the front proximal phalanx III), 89.1 (from the rear proximal phalanx III), 76.1 (from the front distal phalanx III), 78.6 (from the hind distal phalanx III), and 66.2 (from the front hoof). The height estimation from the front hoof is here somewhat lower than that derived from the other dimensions suggesting perhaps a young individual, bone proportionality differences from those found in
This yields the following ratios for the GQ-1 trackway: stride length/height, 1.25; diagonal/ipsilateral step distance, 0.16; ipsilateral step distance/stride length, 0.34; lateral offset/hind hoof width, 0.37. The trackway also seems to display a somewhat bowed pattern of prints with diagonal pairs of feet landing close together. Due to the large lateral offsets that occur in different directions within the print pairs and form a somewhat bowed pattern, we interpret the gait in trackway GQ-1 to again be a laterally coordinated rack or tölt. However, given that there are only four impressions (one incomplete) and that the lateral offset is not large, it is possible, though less likely, for the trackway to be formed by a slow trot (in a horse with poor conformation or changing directions). A rack is more likely though, due to the bowed pattern, the fact the hind hooves both cross the centerline, and there is a lateral offset/hind hoof width ratio above 0.25 (see Table 3). The large understep, 1.06 times the hoof length, also better matches that of a rack or stepping pace, wherein the understep is 0.60–1.50 the hoof length, versus a slow trot, wherein the understep is usually 0.35–0.55 the length of the hoof, even if it can reach 0.80–0.85 the length of the hoof at times [7, 25, 34]. On the whole then, the trackway is similar to ones made by living horses in a fast rack (or tölt) or stepping pace (see Figure 11 above). The value of stride length/height of 1.25, however, somewhat puzzlingly more resembles that of a slow rack than a fast one as is also the case with the
4.3 Galloping gaits in fossil horses
Trackways evidencing a galloping gait are somewhat common in fossil horses, perhaps as such forceful hoof impressions are more likely to be preserved (see Tables 2–4, and Figures 12–14 above). As noted above, evidence for a galloping gait occurs in seven fossil horse trackways from three different sites. All of these trackways had long stride lengths (270.0–370.0 cm) and stride length/height ratios above 2.75, suggesting high speed and presented four independent hoof impressions (i.e. no obvious foot pairings). The trackways did sometimes display more symmetry than is typical for the gallop in modern horses where it averaged 0.63 (extrapolated from [25]). Here the symmetry [(DSD1/DSD2 + ISD1/ISD2)/2] varied between 0.88 to 0.90 at the Hoya de la Sima site (HSA-12 and HSA-14) to 1.00 (HSA-13), between 0.90 (OS-5) to 0.96 (OS-3 and OS-4) at the Colle di Osoppo site, and was 0.69 (WB-1) at the Wally’s Beach site. Still, assuming proper individuation of footprints in the trackway, the long stride length and lack of obvious foot pairs strongly suggests a galloping gait.
Three galloping trackways (HSA-12; HSA-13; HSA-14) occur at the same Hoya de la Sima site near Jumilla, Spain where the trotting trackways are found ([31]; see Figures 12A and 13A) and were likely made by the same tridactyl species of the horse
The three galloping trackways located near each other on the Colle di Osoppo, near Osoppo, Friuli Venezia Giulia, Italy ([28]; see Figures 12B and 13B above) were probably formed by
This gives very high values of stride length/height of 3.12, 3.30, and 3.35, respectively. The high ratio of stride length/height as well as the trackway consisting of four independent prints, plus, the fact that the distance between the prints varies, consisting of short, long, and intermediate steps, strongly suggest a galloping gait here, not the trot as suggested by Dalla Vecchia and Rustioni [28] who perhaps misinterpreted the capped trotting trackway shown in Renders [23, 24] as being isolated impressions. Two of the gallops possessed a left-lead (OS-3 and OS-4) and the other a right-lead (OS-5) as reconstructed by Dalla Vecchia and Rustioni [28] and occurred at speeds of 6.2–6.5 m/s using the Modified Alexander Formula.
The trackway WB-1 formed by the late Pleistocene monodactyl horse in fluvial sands and silts at the Wally’s Beach deposit (DhPG-8) of St. Mary’s Reservoir near Cardston in Alberta, Canada, has previously been referred to horse skeletal remains found at Wally’s Beach assigned to the species
In any case, skeletal remains are found in the same Wally’s Beach strata as the footprints, and the phalanges match the prints closely. Such horses from Wally’s Beach possessed a skull that averaged 41.3 cm in length, a metacarpal averaging 21.6 cm, a metatarsal averaging 26.1 cm, a hind proximal phalanx III (1PhIII) that averaged 8.1 cm, and a hind distal phalanx III (3PhIII) that averaged 5.7 cm in length, along with a humerus that averaged 28.4 cm in length and the radius 31.5 cm [68], and the central hoof impressions were 10.5 cm long. Using the horse height estimation multipliers for extinct
4.4 Walking gaits in fossil horses
So far very few walking equid gaits have been identified from fossil trackways, perhaps because the horse is less likely to leave a trail in the softer impact of the walk. Recently what does seem to be such a walking trackway [DR-1] was uncovered in regard the recently extinct Giant Cape Zebra (
The height of Equus capensis can be estimated on the basis of comparisons with modern zebra skeletal dimensions (see Tables A3 and A4). The hippotigrine multipliers are 2.64 for the cranium, 6.15 for the third metacarpal, 5.44 for the third metatarsal, 16.36/17.29 for anterior and posterior first phalanx, 22.95 for anterior third phalanx, and 17.32/17.11 for manus and pes hoof measurement, and 13.74 and 12.72 for manus and pes print measurement. Equus capensis has the following skeletal maximal lengths: cranium = 56.0 cm, metacarpal = 21.6 cm, metatarsal = 25.4 cm, phalanx I (manus/pes) = 8.4/8.1 cm, phalanx III manus = 7.7 cm, and the print of the fossil specimen was ca. 13.74 cm long for the manus and 15.44 cm long for the pes. These values yield the following height estimations in cm of
With this height estimation we have the following key trackway parameters of SL/HT = 0.85; ISD/SL = −0.18; DSD/SL = 0.23; DSD/ISD = −1.30; LO/HHW = 0.46; IS/HHW = −0.18. These parameters most closely agree with the gait of a walk (taking place at around 0.77 m/s via the original Alexander formula for slow gaits), though the negative interior straddle (and wavy print pattern) have some resemblance to a slow ambling gait such as a running walk (see Figures 4 and 5E). Might it be that when traveling over slippery terrain horses tend to shift their limbs interiorly and closer to or straddling the centerline for balance? If so some gaits that appear to be very slow racking ones would actually be trotting ones. More study of this issue is warranted. Alternatively, ancient equines might be capable of very slow alternative lateral gaits, perhaps on slippery substrates. Still trackway DR-1 seems to most closely match that of a walking gait.
5. Conclusion
We find that horses displayed a great variety of gaits in the past, perhaps matching their current repertoire. The footprints studied above show they were capable of both intermediate-speed laterally coordinated gaits such as the running walk and rack or tölt, the diagonally coordinated trot which is the common current medium-speed gait in horses and zebras, and the transverse gallop. All these gaits are found in tridactyl Miocene horses (15–3.5 Ma) and provided a variety of options for locomotion. Laterally coordinated gaits allow surer footing in intermediate speed gaits when traveling over uneven or muddy terrain; for they provide a diagonal base of support (pace) or continual ground contact throughout the stride (rack or running walk). Following Sondaar [84], such lateral gaits would have been easier than diagonal gaits on the more flexible fetlock joints of tridactyl horses and so helped to prevent injury [22]. Intermediate speed diagonal gaits, such as the trot, are more efficient than lateral ones for longer periods of travel, and so would have been favored for migratory needs.
If these laterally coordinated gaits were common in fossil horses, exactly when horses lost the ability to perform laterally coordinated gaits and retained only the trot, as in zebras, is hard to determine. Janis and Bernor [47] argue that the evolution of monodactyl limbs in
Moreover, the evolution of the passive stay apparatus is also complex as it occurs in the monodactyl
Genetic studies have concluded that laterally coordinated gaits in modern horses trace back to a gene mutation that occurred around the time of horse domestication prior to 10,000 years ago [21], or, for some breeds, to a genetic mutation arising in ninth century England [90]. Genetical studies suggest then that the modern ability to perform lateral gaits in select horse breeds is a parallel evolutionary innovation rather than a reversion to an ancestral condition. This would make sense, as after domestication riders would have preferred smoother more comfortable gaits over less comfortable ones; hence laterally coordinated gaits would have been prized. Indeed fossil horse trackways show lateral gait parameters indicative of higher-speed racks even though they seem to have been performed at slower speeds. So the particular mechanisms and limb coordinations used in fossil horses may have been different than in modern horses, but this is not clear.
Also of interest is the social behavior evident in the Pliocene trackways. Four zones display multiple horses engaging in the same or similar gaits nearby each other, probably at around the same time. We see three series of prints (HSA-9, HSA-10, HSA-11) of the species
There are a few other fossil horse sites that constitute trample grounds with multiple individuals leaving footprints. It is possible that further fieldwork may be able to isolate individual trackways for which gait can be determined [91, 92, 93, 94, 95]. Additional study would also be beneficial in regard to unshod horse hoofs of modern horses and the impressions they make in various substrates such as sand, mud, ash, and snow. Regarding fossil horses, more work correlating front and hind central coffin bone measurements with horse height would be helpful, especially for Eocene and Oligocene horses.
5.1 Sample availability
The
Acknowledgments
The authors wish to thank those who helped in providing material and references, especially Maryan Zyderveld; Jennifer Reynolds; Christine Janis; and Terry Leitheuser. We have been inspired in our studies by our mentors Vera Eisenmann, Paul Sondaar, Michael Woodburne, and Robert Reynolds. We also thank Lara Sciscio, Jens Lallensack, and an anonymous reviewer, for comments on an earlier version of the manuscript.
Appendix A
Equine group | Height/cranium | Height/metacarpal III | Height/metatarsal III | Height/proximal (1st) phalanx III (front) (hind) | Height/distal (3rd) phalanx III (front) (hind) | Height/front hoof length (print) | ||
---|---|---|---|---|---|---|---|---|
Propalaeotheriinae | 1.97 | 6.25 | 5.56 | 30.00 | 27.27 | 37.5 | 30.00 | 22.83 |
1.97 | 6.25 | 5.56 | 30.00 | 27.27 | 37.5 | 30.00 | 22.83 | |
Hyracotheriinae | 2.55 | 7.44 | 5.44 | 29.50 | 23.80 | 32.37 | 25.25 | 19.70 |
2.62 | 8.11 | 5.95 | 32.45 | 23.80 | 35.70 | 25.50 | 21.73 | |
2.52 | 6.76 | 5.15 | 26.54 | — | 34.50 | — | 21.00 | |
2.50 | 7.45 | 5.22 | — | — | 26.92 | 25.00 | 16.39 | |
Anchitheriinae, basal | 2.92 | 5.15 | 4.19 | 35.58 | 30.84 | 27.29 | 22.51 | 16.61 |
2.63 | 5.23 | 4.00 | 35.38 | 30.67 | 24.21 | 23.00 | 14.74 | |
3.20 | 5.06 | 4.38 | 35.78 | 31.01 | 30.37 | 22.02 | 18.49 | |
Merychippines | 2.77 | 5.40 | 4.68 | 24.30 | 23.42 | 23.91 | 24.42 | 14.55 |
2.77 | 5.40 | 4.68 | 24.30 | 23.42 | 23.91 | 24.42 | 14.55 | |
Protohippini | 2.72 | 5.47 | 4.92 | 24.08 | 23.45 | 21.73 | 26.21 | 13.23 |
2.72 | 5.47 | 4.92 | 24.08 | 23.45 | 21.73 | 26.21 | 13.23 | |
Anchitheriini | 3.20 | 5.25 | 4.72 | 29.61 | 27.82 | 22.08 | 22.69 | 13.44 |
3.44 | 5.07 | 4.38 | 33.03 | 29.44 | 22.08 | 20.38 | 13.44 | |
2.96 | 5.42 | 5.05 | 26.19 | 26.19 | — | 25.00 | 13.16 | |
Hipparioni | 2.55 | 5.75 | 5.08 | 20.53 | 20.87 | 19.83 | 20.11 | 12.07 |
Hipparioni, New World | 2.64 | 4.73 | 4.17 | 19.65 | 20.98 | 21.27 | 22.65 | 12.95 |
2.64 | 4.73 | 4.17 | 19.65 | 20.98 | 21.27 | 22.65 | 12.95 | |
Hipparioni, Old World | 2.50 | 6.26 | 5.54 | 20.98 | 21.67 | 19.11 | 17.57 | 11.63 |
2.73 | 6.10 | 5.35 | 20.31 | 20.31 | 17.80 | 17.57 | 10.83 | |
2.27 | 6.42 | 5.73 | 21.64 | 23.02 | 20.42 | — | 12.43 | |
Equini, basal | 2.99 | 6.48 | 5.89 | 21.88 | 24.02 | 28.49 | 31.41 | 17.34 |
2.99 | 6.48 | 5.89 | 21.88 | 24.02 | 28.49 | 31.41 | 17.34 | |
Equini, caballoid, extinct | 2.20 | 5.42 | 4.90 | 14.90 | 16.01 | 20.88 | 21.33 | 12.71 |
2.20 | 5.42 | 4.90 | 14.90 | 16.01 | 20.88 | 21.33 | 12.71 | |
Equini, extant ( | 2.51 | 6.08 | 5.33 | 15.84 | 15.84 | 21.62 | 22.54 | 13.16 |
Other Perisssodactyla | ||||||||
Tapiroidea, | 2.83 | 5.97 | 4.51 | 18.41 | 23.26 | 22.10 | 27.63 | 7.73 |
Rhinocerotoidea, | 2.58 | 7.81 | 6.48 | 28.32 | 34.88 | — | 30.07 | — |
Palaeotheriidae, | 2.53 | 9.79 | 11.71 | 47.24 | — | — | — | — |
Gait | Diagonal/ipsilateral step distance | Ipsilateral step distance/stride length | Interior straddle/hind hoof width | Lateral offset/hoof width | Average stride length/height | Diagonal/ipsilateral step distance multiplier for SL/H |
---|---|---|---|---|---|---|
Slow walk ( | −7.96 | −0.06 | 0.17 | 0.15 | 1.02 | −0.13 |
Fast walk ( | 11.75 | −0.01 | 0.04 | 0.23 | 1.13 | 0.10 |
Slow trot ( | −5.02 | −0.11 | 0.15 | 0.29 | 1.30 | −0.25 |
Fast trot ( | 11.70 | −0.01 | 0.16 | 0.39 | 1.71 | 0.15 |
Running walk ( | 1.21 | 0.16 | 0.00 | — | 1.40 | 1.16 |
Slow rack/Tölt ( | 2.54 | 0.10 | −0.12 | 0.21 | 1.21 | 0.48 |
Fast rack/Tölt ( | 0.37 | 0.28 | −0.37 | 0.58 | 1.51 | 4.08 |
Stepping pace ( | 0.26 | 0.31 | −0.15 | 0.59 | 1.59 | 6.12 |
Slow pace ( | 0.26 | 0.30 | 0.10 | 1.12 | 1.49 | 5.73 |
Canter ( | 0.40 | 0.28 | 0.15 | — | 1.59 | 3.98 |
Gallop ( | 0.61 | 0.25 | 0.48 | — | 1.89 | 3.10 |
Species | Geologicage (Ma) | Height at withers (cm) | Cranial basilar length (cm) | Metacarpal III length (cm) | Metatarsal III length (cm) | Proximal (1st) phalanx III length front/ hind (cm) | Distal (3rd) phalanx III length front/ hind (cm) | Hoof print length front/hind (cm) | Specimen and source |
---|---|---|---|---|---|---|---|---|---|
1 | — | 56.0 | 21.6 | 25.4 | 8.4/8.1 | 7.7/— | — | SAM-EL 21025; SAM-EL 16659; [42, 80, 81] | |
0.11–0.16 | — | — | — | — | — | — | 14.1/15.6 (print) | DR-1; [79] | |
0 | 145.0 (150.0) | ca. 51.4 | 23.2 | 26.7 | 8.6/8.2 | 6.5/— | 8.0/8.0 (hoof) | NMUK-ZD 1923.10.20.16 [82, 83] | |
0 | 125.5 (123.0–128.0) | 47.2 (44.9–49.4) | 20.2 | 22.6 | 7.5/7.1 | 5.6/— | 7.6 (7.42–7.70)/ 7.8 (7.38–8.3) (hoof) (9.5/10.0) (print) | PH 6317; [79, 82, 83] | |
0 | 125.5 (124.0–127.0) | ca. 51.7 | 20.9 | 23.5 | 8.1/7.6 | 5.2/— | (8.8 (7.5, 9.0, 10.0)/ 9.7 (8.0, 10.0, 11.0)) (print) | AM 7691; [79, 82, 83] |
Equine group | Height/cranium | Height/metacarpal III | Height/metatarsal III | Height/proximal (1st) phalanx III (front) (hind) | Height/distal (3rd) phalanx III (front) (hind) | Height/front hoof length (print) (front) (hind) |
---|---|---|---|---|---|---|
2.82 | 6.25 | 5.43 | 16.86/17.68 | 22.31/— | 18.13/18.13 (—/—) | |
2.66 | 6.21 | 5.55 | 16.73/17.68 | 22.41/— | 16.51/16.09 (13.21/12.50) | |
2.43 | 6.00 | 5.34 | 15.49/16.51 | 24.13/— | —/— (14.26/12.94) | |
HIPPOTIGRINES | 2.64 | 6.15 | 5.44 | 16.36/17.29 | 22.95/— | 17.32/17.11 (13.74/12.72) |
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