VIGILANCE AND GROUP SIZE IN OSTRICHES 2
(n = 13) versus a group of two (n = 36), P <0.0001 ;
and in a group of two versus a group of
three or four (n = 21), P = 0.011). (The percentage vigilance figures for each bird have
been used in these significance tests because there was no a priori reason why the birds in a
group should not
behave independently of one another. Nor is there a posteriori, for among the 36 birds in pairs,
for example, there is no significant relationship between the percentage vigilance of one bird and
that of its companion.)
This decline in vigilance with group size took place within each sex. Among males, it is significant
between males with one companion compared with those with more than one (Mann-
Whitney U tests, n 2 ~- I0, nl = 5, P < 0.01), and near significance between lone males and
those with one companion (nl = 7, n2 = I0, P ~ 0.07). Among females, on the other hand,
lone birds were significantly more vigilant than birds with companions (nl = 6, n 2 = 26, P <
0.005), but there was no significant difference between birds with two or more companions as
compared with birds who had only one.
(2) Males were significantly more vigilant than females (Mann-Whitney U test: male (n = 22)
versus female (n = 48), P < 0.001). The difference is emphasized by the fact that males made
up a larger proportion of the single (and therefore more vigilant) birds than of the birds in groups.
Nonetheless, within each group size, the same sex difference is found. For birds feeding in
heterosexual pairs, males were significantly more vigilant than their companions (Wilcoxon test,
T 5, P= 0.01). Among single birds, and among birds in groups of more than two, the
samples were unavoidably small, and the differences, although in the same direction, are not
significant.
(3) The median percentage vigilance of a female with a single companion was almost the
same whether that companion was male or female (Fig. 1), suggesting that a bird's vigilance
was influenced more by the presence of a companion than by the vigilance of that companion.
(4) The major cause of the differences between the sexes in percentage vigilance was generally
that males kept their heads up for longer (mean 16 % longer), rather than that they raised them
more often (mean 9 % more often). Table I shows that this sex difference was particularly marked
with birds in groups of two.
(5) On the other hand, the major cause of the decline in percentage vigilance with group size
was generally that birds in groups of three or more raised their heads less frequently (mean
49 % less often), rather than that they kept them up for less long (mean 17 % shorter) as compared
with single birds (Table I).
(6) When two or more birds were feeding together, the proportion of time that one or
more was vigilant was almost the same as would be expected if they were raising their heads
independently of one another. This is demonstrated in Fig. 2. Line 1 shows the changes
in mean percentage vigilance with increasing

group size (from Fig. 1): the points plotted are the mean proportions of time that any
particular individual, regardless of its sex, had its head up. Line 2 is derived theoretically
from Line 1: it shows the proportions of the time that a head would be up if the birds were
maximally 'sequentially organized'; this is plotted assuming the same proportions for each individual
as in Line 1, but assuming that there are never two or more heads up simultaneously.
Thus for any number (n) of birds in the group, Line 2 is n • Line 1. Line 3 shows the mean
proportion of the time that at least one head would be up if the birds were behaving independently
of one another, again assuming the same changes in individual vigilance with group
size as in Line 1. For example, the group vigilance of two birds behaving independently with
individual vigilance scores of x ~ and y % would be x + y- xy/lO0; thus it is the sum of the
vigilance of both birds less the time that both have their heads up concurrently. Line 4 shows
the observed mean proportions of time that at least one head in the group was in fact up, i.e.
the observed group vigilance. It can be seen that Lines 3 and 4 are almost identical. For birds in
groups of two, the differences between the independent and observed percentages are all small
(less than 4 %) and may be in either direction.
For the birds in groups of three or four, the differences are similarly small, but the observed
group vigilance is in each case in the direction of being less sequentially organized than independent
(Wilcoxon test, P < 0.05, two-tailed). In other words, birds in the larger groups had their heads
up concurrently slightly more often than would be expected if they were behaving independently.
Thus there were no indications that birds put their heads down because their companions had
their heads up, but slightly the reverse
(7) When a head would next be raised was variable. Figure 3 shows the distribution of the
intervals of time for which the head was down between consecutive head raisings. It can be seen
that for an ostrich feeding alone (Fig. 3a), the head was raised again within 10 s on ahnost twothirds
of the occasions. Insofar as could be seen from the much smaller samples, the distribution
of interval lengths of invividual birds corresponded to the overall pattern of all single
birds in Fig. 3a, and there were no indications of temporal patterning. There is an ahnost
exponential decay in the distribution of interval lengths, suggesting that bout lengths were
randomly determined. The distribution of interval lengths in Fig. 3a is not significantly
different from a negative exponential (Z 2 test), suggesting that the lengths of these intervals
were randomly determined. Thus although the head sometimes stayed down for a long period,
it was impossible to predict when this would be. For birds in groups of two, and in groups of
three and four (Figs. 3b, c), the mean length of time for which any iridividual bird's head was
down was greater, and these distributions depart increasingly from the negative exponential.
However the distribution of lengths of intervals when all the heads in the group were down (Fig. 3d)
was similar to that for a single bird, and likewise indicated randomly determined interval lengths
Discussion
Functions of Raising the Head In the absence of any detectable external
stimuli causing a feeding ostrich to raise its head, it is worth considering the other possible causes,
bearing in mind that there may well be more than one.
(i) The bird might raise its head in order to swallow a food bolus. Ostriches store many
beakfuls of food in the elastic top part of the gullet, and at intervals allow a large bolus of food
to move slowly down the neck (Smit 1963). However, the raising of the head is apparently not in
order to allow the passage of a bolus, for two reasons. First, during the majority of periods
with the head up no bolus is swallowed; a bolus can contain the results of 40-I00 pecks (personal
observation) spread over a considerably longer time than the average interval between head
raises. Second, a bolus will often pass up the neck of a feeding ostrich whose head is down.
(ii) The bird might raise its head in order to look for food nearby. This possibility is rendered
improbable by the observations that in the great majority of cases the ostrich continued to feed
at exactly the same spot, and that the relatively few steps taken while feeding were ahnost all
taken when the bird had its head down. The ostrich certainly does not appear to be searching
the ground adjacent to it when its head is up.
(iii) The bird might raise its head in order to observe the feeding rates of its companions
(Drent & Swierstra 1977), or the food types they were taking (Mutton 1971). 'This explanation is
not consistent with the ostrich data presented, where birds raised their heads most often when
they had no companions to observe.
(iv) The bird might raise its head in order to look for conspecifics, either to attract or approach
them, or to avoid them if they are hostile (Dimond & Lazarus 1974). For such interactions
within the feeding group, this explanation is not consistent with the ostrich data given above,
because both the need and the opportunity to observe companions would be expected to become
greater rather than less as the group size increases. However, it is likely that the detection
or observation of very distant conspecifics is one function of head raising; solitary individuals of a
species which is usually gregarious might be expected to spend a greater proportion of time
looking for other birds (Lazarus & lnglis 1978). Searching for distant conspecifics would be
expected to be a more important function for males than for females for two reasons. First,
males are territorial, and they approach, display to and drive out other males, whereas females
largely ignore other females. Second, males approach and display to distant females, and
copulation often follows such approaches; ostriches are frequent and promiscuous maters
(personal observation). A male probably increases his reproductive output more than a
female does from an extra copulation: he fertilizes more eggs, but she does not lay more eggs.
The data presented in Fig. 1 show that males were indeed more vigilant than females. Their
increased vigilance was produced mainly by their keeping their heads up for longer than females
(Table I) : improved scanning of the horizon for distant, slowly-moving, ostriches is probably
best achieved by increasing the length of each scan rather than by increasing their frequency.
(v) The bird might raise its head in order to look for approaching predators. The decline in
percentage vigilance with group size is consistent with reduced vulnerability to predation (see
below). The increased vigilance of single birds over birds in groups was produced mainly by
their raising their heads more often (Table I). Improved detection of a nearby approaching
predator is probably best achieved by frequent and unpredictable raising of the head (as in the
game of Grandmother's Footsteps), rather than by long scans (during which a predator would
remain motionless). Figure 3 showed that the distribution of feeding bout lengths was such
that any prediction by a predator of when a head would stay down for a long time would be unreliable.
Because of their colour, male ostriches are more conspicuous than females, and their greater
vigilance might be thought to be due simply to a greater vulnerability to predators. This is unlikely
for two reasons. First, their increased vigilance was effected mainly by their putting their heads
up for longer, not more often. Second, at the ranges (0-50 m) at which lions are both a danger
and likely to be detectable, any adult ostrich of either sex is highly conspicuous because of its
size.
The Organization of Vigilance It was shown in Fig. 2 that ostriches would be
able to achieve a considerably improved group vigilance if they were 'sequentially organized' in
the sense that each were to raise its head not at random in relation to others but only at times
when the others' heads were down. Some species,such as dwarf mongooses (Helogale undulata)
(Rasa 1977) and jungle babblers (Turdoides striatus) (Gaston 1977), do achieve a high degree
of organization of vigilance. There are several different reasons for the lack of organization in
ostriches; among them are the following:
(1) Any stimulus of common interest will tend to cause a lack of organization because both or
all birds look at it simultaneously.
(2) A bird whose head is down may often be unable to see whether a companion's head is up
or down.
(3) The groupings of birds are temporary ones, and different individuals aggregate in different
combinations at different times and places. The modification of behaviour in relation to that of
frequently changing individuals is probably more difficult to achieve than in relation to the behaviour
of a few fixed companions.
(4) An ostrich cannot predict accurately when another will keep its head down for a long time,
because as was shown in Fig. 3c the length of time a companion's head was down was variable,
although predictability was greater than for a single bird. Note that a predator cannot benefit
at all from this increase in predictability, for as Fig. 3d shows, the distribution of intervals until
the next head in the group was raised was similar to that for a single bird.
Pulliam et al. (unpublished manuscript) discuss the problem of cheating by a bird which
benefits from its companions' vigilance but does not participate in vigilant behaviour itself.
Group Size and Vulnerability to Predators Making certain assumptions about possible
predation on ostriches, it is practicable to some extent to quantify their vulnerability to predators
when feeding alone or in groups. The assumptions are the following:
(l) An ostrich standing with its head up is virtually invulnerable to predation at that
moment. It can run at considerable speed, almost certainly greater than the 50-60 km/h attainable
by lions (Schaller 1972), and can maintain such speeds over far greater distances. Comparative
acceleration rates are not known. Lions usually rush at a prey animal when its head is down
(Schaller 1972).
(2) If in a group there is one (or more) ostrich whose head is up, the whole group is invulnerable,
because sudden movement by one bird would be rapidly detected by others. Therefore,
one head up is as good as two or more.
(3) If a predator makes an attack, its chances of success are not influenced by group size, and
only one ostrich at random in the group is captured.
(4) A small group of ostriches does not attract more predation attempts than a single bird does.
From personal observations of lions hunting, this is a more reasonable assumption than might
appear.
Figure 4 shows the changes in vulnerability with group size. Line 1 shows the mean proportion
of the time that any particular bird has its head down; it is simply 100% minus Line 1 of
Fig. 2. Line 2 shows the group's vulnerability: it is defined as the proportion of time that all the
heads in the group are down. It can be seen that there is little change with group size in the group's
vulnerability. Thus the predator's chances of success are scarcely influenced by group size,
because it is scarcely any more likely to be detected
by its prey. Line 3 shows each bird's individual vulnerability: it is Line 2 divided by
the number of birds in the group. It can be seen that individual vulnerability decreases rapidly
with group size, and that the first companion is by far the most important. Protection is gained
almost entirely by 'diluting' the predator's success (Bertram 1978) rather than by reducing it.
It did not prove practicable to measure experimentally ostriches' actual ability to detect
dangerous stimuli, mainly because of the disadvantage of alarming ostriches which I needed
unafraid for other observations. Nor was it possible to test whether groups of ostriches were
more likely to detect a novel stimulus, as was done by Lazarus (in Dimond & Lazarus 1974)
for red-billed weaver birds (Quelea quelea). Dimond & Lazarus (1974), Drent & Swierstra
(1977), Inglis & Isaacson (1978), and Lazarus & lnglis (1978), observing different species of geese,
have demonstrated a positive relationship between the number of birds in a flock and the
proportion of them who are feeding at any instant. These studies differ from the ostrich
observations in that they deal with flock sizes running into the hundreds, and in that in these
geese the Head Up posture is often important also in observing other geese and grazing conditions
nearby.
Predation is likely to be one important ultimate cause of grouping by ostriches. Bertram
(1978) reviewed the variety of ways by which animals in general may gain protection from
predation by aggregating. The relevance of these to the ostrich case is outlined below.
(1) Grouping may enable them to avoid detection by the predator (Vine 1971, 1973
Treisman 1975; and references given by Lazarus 1972), under certain specialized circumstances
which are unlikely to apply to lions and ostriches.
(2) A group of animals may be able to detect a predator sooner than a single animal can (as was
shown by Powell 1974, and Kenward 1978), and a larger group may detect it sooner than a
smaller group (as was shown by Siegfried & Underhill 1975, and I-Ioogland & Sherman 1976).
The ostrich data refer only to very small groups, and indirectly suggest only a minimal improvement
in predator-detecting ability with group size.
(3) Groups of animals may sometimes be able to deter a predator from attacking, especially if
they co-operate. No defence against lions by ostriches has been observed, and it would
probably be most unwise

