Collective behaviour of animals has been a main focus of recent research, yet few empirical studies deal with this issue in the context of predation, a major driver of social complexity in many animal species. When starling (Sturnus vulgaris) flocks are under attack by a raptor, such as a peregrine falcon (Falco peregrinus), they show a great diversity of patterns of collective escape. The corresponding structural complexity concerns rapid variation in density and shape of the flock over time. Here, we present a first step towards unravelling this complexity. We apply a time series analysis to video footage of 182 sequences of hunting by falcons on flocks of thousands of starlings close to two urban roosts during winter. We distinguish several types of collective escape by determining the position and movement of individuals relative to each other (which determines darkness and shape of the flock over time) as well as relative to the predator, namely ‘flash expansion’, ‘blackening’, ‘wave event’, ‘vacuole’, ‘cordon’ and ‘split’. We show that the specific type of collective escape depends on the collective pattern that precedes it and on the level of threat posed by the raptor. A wave event was most likely to occur when the predator attacked at medium speed. Flash expansion occurred more frequently when the predator approached the flock at faster rather than slower speed and attacked from above rather than from the side or below. Flash expansion was often followed by split, but in many cases, the flock showed resilience by remaining intact. During a hunting sequence, the frequencies of different patterns of collective escape increased when the frequency of attack by the raptor was higher. Despite their complexity, we show that patterns of collective escape depend on the predatory threat, which resembles findings in fish.
Patterns of collective escape in flocks of starlings have always intrigued laymen and scientists. A detailed analysis of their complex dynamics has been lacking so far, and is the focus of our present study: we analysed video footage of hunting by falcons on flocks of thousands of starlings and show how patterns of collective escape (namely flash expansion, blackening, wave event, vacuole, cordon and split) depend on the preceding pattern and on details of attack. A higher frequency of attack during a hunting sequence resulted in a higher frequency of collective escape events. Flash expansion happened most often when the predator attacks at greater speed. A wave event was most likely when the raptor attacks at medium (rather than high or low) speed. These results provide a first quantitative approach to social complexity in collective avoidance of a predator.
Similar content being viewed by others
Predator-prey relationships are the result of an evolutionary arms race in which the prey adopts strategies to reduce the risk of being captured (Dawkins and Krebs 1979). Grouping is one of the antipredatory strategies widely adopted across animal taxa (e.g. primates: Imanishi 1960; fish: Shaw 1978; birds: Feare 1984; cetaceans: Connor 2000; insects: Kastberger et al. 2008). Grouping has several benefits: it lowers the individual chance of being caught (dilution effect, Krause and Ruxton 2002) and decreases the area over which individuals risk being attacked (selfish herd hypothesis, Hamilton 1971). In groups, potential threats may be spotted earlier and information may be spread faster (collective detection and many eyes hypothesis, Krause and Ruxton 2002) than among solitary individuals. Grouping may also make it difficult for a predator to single out prey (confusion effect, Landeau and Terborgh 1986; Krause and Ruxton 2002; Kastberger et al. 2008; Hogan et al. 2017).
The collective motion of grouping organisms has been the subject of recent studies in multiple disciplines (e.g. Ioannou et al. 2012; Viczek and Zafeiris 2012; Jolles et al. 2017; Sumpter et al. 2018). In vertebrate taxa such as birds and fish, the highly coordinated motion and diverse collective displays have been studied both theoretically and empirically. In these studies, the patterns of collective motion have been explained as an emergent property from the interactions that occur at an individual level (Ballerini et al. 2008; Hemelrijk and Hildenbrandt 2011, 2012). It has been suggested that birds such as starlings interact with their six to seven closest neighbours, and that such interactions suffice to explain the general aspects of collective movement of flocks (Okubo 1986; Reynolds 1987; Heppner and Grenander 1990; Ballerini et al. 2008; Hildenbrandt et al. 2010). These interactions, combined with the flying behaviour of starlings, explain details of the internal structure of the flocks, measured as shape changes during turning (Pomeroy and Heppner 1992; Hemelrijk and Hildenbrandt 2011, 2012; Attanasi et al. 2013), stability of neighbours (Cavagna et al. 2013; Hemelrijk and Hildenbrandt 2015a) and degree of correlation in motion of neighbours at different distances (Bialek et al. 2014; Hemelrijk and Hildenbrandt 2015b; Cavagna et al. 2015).
The aforementioned studies focused primarily on undisturbed groups. However, the most complex patterns of collective motion occur under predation. Most of the research on collective escape induced by the predator has been conducted in fish (e.g. Nøttestad and Axelsen 1999; Gerlotto et al. 2006). One such a study concerned the relation between intensity of threat by a predator pike (Esox lucius) and patterns of collective escape of schools of minnows (Phoxinus phoxinus, Magurran and Pitcher 1987; Magurran 1990). Minnows compacted into a single school in the presence of the predator. When the pike was stalking, they showed skittering and group jumping behaviour (a series of rapid collective acceleration and deceleration). When attacked, the school showed flash expansions and fountains, followed by splits, after which individuals either merged back into the school or hid among stones.
While there are studies in taxa such as insects and birds that focus on specific patterns of collective escape (e.g. propagating waves, Kastberger et al. 2008; Procaccini et al. 2011, flash expansion, Romey and Lamb 2015), to our knowledge they did neither address how these patterns relate to each other nor to the acts of the predator. That is what we investigate in the present study for the first time for patterns of collective escape displayed by flocks of European starling (Sturnus vulgaris) in response to a raptor (Tinbergen 1951; Feare 1984; Carere et al. 2009). These patterns are widespread (Goodenough et al. 2017), but their function and underlying mechanisms remain debated (Carere et al. 2009; Zoratto et al. 2010; Procaccini et al. 2011). Our study focuses on the following questions: (i) which patterns of collective escape are displayed? (ii) how do these patterns inter-relate? and (iii) how do they depend on the behaviour of the predator?
Material and methods
Study species, areas and observations
During two winter seasons (January–March 2006 and December–March 2006–2007), data were collected on flocks of European starlings at two urban roosting sites (Termini and Eur) in Rome, Italy. These roosting locations are spaced about 10 km from each other and are both regularly visited by peregrine falcons (Falco peregrinus). Termini is situated in the city centre, and the roost there was used by up to 20,000 starlings. This site was under a relatively low predatory pressure and experienced regular hunts of only two peregrine falcons. The other roosting site (Eur) is located in the southern part of Rome, and was used by about 60,000 starlings and five peregrine falcons during the study period (Carere et al. 2009; Zoratto et al. 2010; Procaccini et al. 2011).
Video recordings were conducted at both roosting sites. Fifty-three recording sessions were executed between 14 January and 17 March in 2006 and 57 sessions between 12 December 2006 and 2 March 2007. Recording started 90 min before dusk and lasted until nightfall. A high-definition video camera (JY-HD10, JVC, 30fps) and MiniDV digital tapes were used. Two operators (CC and FZ) stood at a fixed location in front of the roost. In total, these recordings comprise 16 h of footage. Aerial manoeuvres of starling flocks, occurring as collective responses to the falcon, were recorded whenever possible.
Video analysis and data extraction
All video materials were digitalized in MP4. Sequences in which the falcons were hunting a flock were selected. We defined a hunting sequence from when the falcon starts to pursue the flock until it either catches a starling or withdraws from the flock (Procaccini et al. 2011). From 182 recorded sequences, we measured the predation success of the falcon, the number of predators involved and the flock size and classified the escape responses. We then selected the hunting sequences in which the flock and falcon were clearly visible throughout for detailed analysis on the type of attacks and collective escape responses. Consistent independent observations by two observers (CC and RFS) led to the selection of 67 sequences for analysis.
To minimize observer bias, blinded methods were used to score all behavioural data. Each hunting sequence was examined on a frame-by-frame basis, noting the behaviour of the flock and falcon (see Table 1 and Fig. 1). The classification of behaviour during a hunting sequence was based on frequently observed patterns that were clearly identifiable, and although it covers a broad spectrum of the collective behaviour seen during a hunting sequence, it is not necessarily complete: more patterns of collective motion may be classified and some of the classified patterns may share a common underlying mechanism (Inada and Kawachi 2002).
For attacks, we determined their onset with high precision as a clear switch of the falcon’s on-going trajectory to one aimed at catching a prey. We classified attacks in terms of speed (slow/medium/high) and location relative to the flock (below/side/above). For this classification, we only included attacks that occurred primarily in the two-dimensional plane (vertically or horizontally). We distinguished between attacks that followed each other fast (referred to as repetitive attacks) from attacks that were isolated in time (referred to as isolated attacks) based on an inter-attack time of 5 s. The threshold of 5 s came from the distribution of inter-attack times (Fig. S1). We measured the duration and frequency of wave events, blackening and cordons and the frequency of split and merge events (Fig. 1, Table 1). Independent measurements of the number of pulses within a wave event as well as the relative location and speed of attacks taken by two observers (CC and RFS) agreed with one another. Some behaviours of the flock and falcon overlap in time (Fig. S2 and Online Resource 1).
For wave events that showed two or more pulses, we analysed the duration of the interval between pulses. The frames showing the wave event were analysed using ImageJ (Abràmoff et al. 2004; Schneider et al. 2012, Supplementary material). We also measured the interval between pulses via visual observation (see Supplementary material).
Data analysis and statistics
Falcon-flock interactions: behavioural correlations and transitions
We investigated the order with which different collective events and attacks of the predator followed each other within an interval of 5 s; the duration of this interval is a conservative estimate of the time within which collective events and attacks are related to one another. A one-tailed permutation test was used to determine which transitions occur more often than expected by chance. Using Patefield’s algorithm, 100,000 transition tables were generated, showing the predicted occurrence of transitions by chance given the total number of transitions observed among each combination of different events (Patefield 1981).
The time it took for flock dilution to occur after an attack was 15.0 ± 2.4 s (mean ± SEM). Using a chi-squared test, we tested whether certain collective escape responses occurred more often than expected by a random distribution of events before or after an attack within a hunting sequence. The null hypothesis was that there is no relationship between the occurrence of attacks and collective escape patterns within a hunting sequence; thus, the distribution of collective escape patterns through time is unaffected by the timing of the attacks, which would make them random. For all statistics, we applied a Bonferroni correction. General linear models were used to examine correlations among behaviours of the flock and the falcon. In one of these models, the log-transformed frequency at which collective escape responses occurred within a hunting sequence was the response variable and the candidate explanatory variables were attack frequency, collective escape type, roosting site and the success of the falcon, using a Gaussian error distribution. Other models were used to test the effects of attack strategy, including explanatory variables such as attack speed and location, and roosting site on the probability of each of the specific collective responses occurring within or after 5 s of an attack. For these models, we used a logistic regression. Selection of the best model was based on the Akaike information criterion (AIC) scores, where models with a Δi(AIC) higher than 2 were considered as significantly worse than the best model.
Analysis of the wave and predation success
The intervals between subsequent pulses of a wave event were measured with ImageJ (see Supplementary material) by measuring changes in the luminance in the same spot of a flock. We compared this result to the one obtained by directly observing the number of pulses and dividing by the duration of the wave event (see Supplementary material). Both methods were compared by t test for independent samples (see Supplementary material). The number of patterns of collective escape occurring in a sequence per attack was tested for differences between successful and unsuccessful hunting sequences using a general linear model. All analyses were performed with R (R Core Team 2016).
The datasets generated during and/or analysed during the current study are available from the corresponding author upon request.
Classification of patterns of collective escape
A total of 795 collective events of flocks and 210 attacks by the falcon have been recorded. We identified seven types of collective escape (Fig. 2). Blackening was the most common (N = 289) and vacuole the least common (N = 5) (see Table S1).
Falcon-flock interactions: behavioural correlations and transitions
Transitions between patterns of collective behaviour are shown in Fig. 3 with the corresponding p values in Table 2. Flash expansion occurred in response to an attack and was followed by splits. Merges happened after splits, followed by flock dilution. Blackening occurred before as well as after an attack, and also preceded wave events. Wave events preceded attacks and a flock dilution. Flock dilution was a precursor to merges and blackening.
As to the relation in time between attacks by the raptor and patterns of collective escape, flash expansion was the only event occurring solely after an attack and never before it, χ2(29, N = 30) = 365.14, p < 0.001 (Fig. 4). Blackening occurred more often than expected between 4 s before and 2 s after an attack, χ2(29, N = 30) = 52.849, p = 0.004 (Fig. 4). Wave events and splits did not differ significantly from chance in their frequency of occurring before and after attacks.
Hunting sequences with a higher frequency of attack were associated with a higher frequency of blackening, wave events and flash expansion (Fig. 5, Table 3). The falcon mostly attacked from above the flock (N = 121), sometimes from the side (N = 36) and seldom from below (N = 18). It mostly attacked at medium speed (N = 144), in 16 cases at low speed and in 15 cases at high speed. Fifty-five of 175 attacks occurred within 5 s before or after another attack.
The probability of a flash expansion occurring immediately after an attack (within 5 s) was highest when attacks were done at high speed rather than medium or low speed and when they came from above rather than from the side or below (Fig. 6, Table S2). Wave events were more common before and after attacks of medium speed rather than attacks of low or high speed (Table S3). The attack type did not impact the probability of blackening occurring before or after an attack. Splits were more probably to occur before and after attacks in roost Eur.
On average, wave events occurred 12.6 s after an attack and 13.9 s before an attack (n = 54). Wave events lasted 3.5 ± 0.23 s (mean ± SEM) and comprised 2.88 ± 0.19 pulses (mean ± SEM, 133 pulses in total). The time between pulses was on average 0.86 ± 0.44 s when estimated with ImageJ (Fig. 7).
Our empirical study helps understanding the complex time order of different patterns of collective escape and predator attack (Kappeler et al. 2019). We distinguished six patterns of collective escape by starling flocks in reaction to the peregrine falcon, namely blackening, wave event, split, flash expansion, cordon and vacuole in order of decreasing frequency. The frequency and type of pattern of collective escape was shown to depend on the intensity of threat by the predator. When the predator was absent or not in the vicinity, so presumably in situations of low threat, starling flocks were spread out with relatively large distances between individuals. When the predator was in the vicinity or actively pursuing the flock, presumably in situations of medium threat, flocks collectively displayed blackening and wave events. When the falcon attacked, clearly the case of high threat, flocks exhibited flash expansions followed by splits. Besides, the higher the frequency of attacks during a hunting sequence, the higher the frequency of blackening, wave events and flash expansion. A similar relation between patterns of collective escape and the degree of threat by the predator was also found in fish (Magurran and Pitcher 1987; Magurran 1990).
As to the relation in time between a collective escape and an attack, only flash expansion happened immediately after an attack, following an attack four to ten times faster than any of the other patterns of collective escape. Blackening and wave events occurred not only after an attack but also before it (Fig. 6). As regards the act of the predator triggering certain types of collective escape, flash expansion happened more often when the predator approached the flock at a relatively high speed and attacked from above rather than from the side or below. Wave events were more likely to occur before and after attacks of medium speed compared to attacks of low and high speed, and blackening events did not depend on the type of attack (in terms of its speed, location, repetitiveness, see Table S4). Splits were more likely to occur before and after attacks in only one of the two roosts (Eur), which could be due to the higher hunting pressure and larger flocks at this location (Table S5, Carere et al. 2009).
The effectiveness of collective escape to prevent being caught was hard to estimate: whereas in our earlier work, the wave event was shown to reduce the falcon’s capture success (Procaccini et al. 2011), in this study attacks with and without hunting success were equally likely to be preceded by a collective escape. The difference may be explained by our smaller sample of video footage and the lack of inclusion of direct observations in the field, which contributed to a higher sample size in the previous study.
A possible risk of flash expansions is that they reduce group cohesion and lead to splits (Fig. 3). The subsequent subflocks are smaller than the original flock, which facilitates targeting of individual prey by the predator. This may explain why flocks appeared resilient against splitting after 78.3% of the flash expansions and did not split (see Online Resource 2). A similar resilience has been reported for fish (Pitcher and Wyche 1983). Note that repetitive attacks may prevent individuals from returning to a flock after a flash expansion (see Online Resource 2). The trade-off between escaping the predator and returning to the group may be at the core of some of the observed escape patterns, and these may depend on the degree of threat of the predator.
In most of our footages (particularly those with blackening and waves), an individual-level analysis was not possible. Thus, the mechanisms underlying these escape responses cannot be determined conclusively in starling flocks with our data. In fish schools, blackening was shown to result from compacting (Magurran and Pitcher 1987; Magurran 1990). Combining models and empirical data, wave events are likely caused by individuals making zig manoeuvres of rolling sideward and back that increase their wing area visible to observers (Procaccini et al. 2011; Hemelrijk et al. 2015). Modelling studies of fish schools have shown that simple avoidance behaviour of fleeing ahead of the predator can lead to a variety of escape responses such as flash expansions, vacuoles, fountain events and herding (Inada and Kawachi 2002).
We acknowledge that our analysis has a number of limitations. The orientation of the flock may affect how we perceive patterns of collective escape. Blackening and wave events may be confused depending on the position of the observer, potentially leading to an overestimation of the number of events of blackening and underestimation of wave events. However, the other patterns of collective escape (splits, merges, flash expansions, cordons, vacuoles and flock dilution) are clearly distinct from one another and could not be confused. Our observations were conservative, in the sense that we may have missed some of the collective patterns if they were hidden to the observer by overlapping flocks in between the observer and the collective event. Note that our observations were continuous, and we selected only footage where the flock and the falcon were clearly visible (omitting unclear footage).
Another potential limitation of our study is that falcons experience patterns of collective escape differently from an observer because of their closer spatial location relative to the flock. Indeed, future work focusing on the viewpoint of the raptor (e.g. with the use of drones) is of great importance to gain information on how collective escape patterns are perceived by the falcon.
In sum, we have shown that the pattern of collective escape in starling flocks depends on the specifics of the hunting behaviour of the falcon and on the preceding pattern of collective escape. Such complex and dynamic patterns of collective escape emerge from the interplay between the antipredatory actions of thousands of prey and the hunting behaviour of the predator. These dynamics show similarity with collective patterns of escape in fish, suggesting that despite being complex, general rules may underlie these systems.
Abràmoff MD, Magalhães PJ, Ram SJ (2004) Image processing with ImageJ. Biophoton Int 11:36–42
Attanasi A, Cavagna A, Del Castello L et al (2013) Superfluid transport of information in turning flocks of starlings. Nat Phys 10:691–696. https://doi.org/10.1038/nphys3035
Ballerini M, Cabibbo N, Candelier R, Cavagna A, Cisbani E, Giardina I, Orlandi A, Parisi G, Procaccini A, Viale M, Zdravkovic V (2008) Empirical investigation of starling flocks: a benchmark study in collective animal behaviour. Anim Behav 76:201–215. https://doi.org/10.1016/j.anbehav.2008.02.004
Bialek W, Cavagna A, Giardina I, Mora T, Pohl O, Silvestri E, Viale M, Walczak AM (2014) Social interactions dominate speed control in poising natural flocks near criticality. Proc Natl Acad Sci U S A 111:7212–7217. https://doi.org/10.1073/pnas.1324045111
Carere C, Montanino S, Moreschini F, Zoratto F, Chiarotti F, Santucci D, Alleva E (2009) Aerial flocking patterns of wintering starlings, Sturnus vulgaris, under different predation risk. Anim Behav 77:101–107. https://doi.org/10.1016/j.anbehav.2008.08.034
Cavagna A, Queiros SMD, Giardina I, Stefanini F, Viale M (2013) Diffusion of individual birds in starling flocks. Proc R Soc B 280:20122484. https://doi.org/10.1098/rspb.2012.2484
Cavagna A, Del Castello L, Dey S, Giardina I, Melillo S, Parisi L, Viale M (2015) Short-range interactions versus long-range correlations in bird flocks. Phys Rev E 92:012705. https://doi.org/10.1103/PhysRevE.92.012705
Connor RC (2000) Group living in whales and dolphins. In: Mann J, Connor RC, Tyack PL (eds) Cetacean societies: field studies of dolphins and whales. University of Chicago Press, Chicago, pp 199–218
Core Team R (2016) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna www.R-project.org
Dawkins R, Krebs JR (1979) Arms races between and within species. Proc R Soc Lond B 202:489–511. https://doi.org/10.1098/rspb.1979.0081
Feare C (1984) The dtarling. Oxford University Press, Oxford
Gerlotto F, Bertrand S, Bez N, Gutierrez M (2006) Waves of agitation inside anchovy schools observed with multibeam sonar: a way to transmit information in response to predation. ICES J Mar Sci 63:1405–1417. https://doi.org/10.1016/j.icesjms.2006.04.023
Goodenough AE, Little N, Carpenter WS, Hart AG (2017) Birds of a feather flock together: insights into starling murmuration behaviour revealed using citizen science. PLoS One 12:e0179277. https://doi.org/10.1371/journal.pone.0179277
Hamilton WD (1971) Geometry for the selfish herd. J Theor Biol 31:295–311. https://doi.org/10.1016/0022-5193(71)90189-5
Hemelrijk CK, Hildenbrandt H (2011) Some causes of the variable shape of flocks of birds. PLoS One 6:e22479. https://doi.org/10.1371/journal.pone.0022479
Hemelrijk CK, Hildenbrandt H (2012) Schools of fish and flocks of birds: their shape and internal structure by self-organization. Interface Focus 2:726–737. https://doi.org/10.1098/rsfs.2012.0025
Hemelrijk CK, Hildenbrandt H (2015a) Diffusion and topological neighbours in flocks of starlings: relating a model to empirical data. PLoS One 10:e0126913. https://doi.org/10.1371/journal.pone.0126913
Hemelrijk CK, Hildenbrandt H (2015b) Scale-free correlations, influential neighbours and speed control in flocks of birds. J Stat Phys 158:563–578. https://doi.org/10.1007/s10955-014-1154-0
Hemelrijk CK, van Zuidam L, Hildenbrandt H (2015) What underlies waves of agitation in starling flocks. Behav Ecol Sociobiol 69:755–764. https://doi.org/10.1007/s00265-015-1891-3
Heppner F, Grenander U (1990) A stochastic nonlinear model for coordinated bird flocks. In: Krasner S (ed) The ubiquity of chaos. AASS Publications, Washington DC, pp 233–238
Hildenbrandt H, Carere C, Hemelrijk CK (2010) Self-organized aerial displays of thousands of starlings: a model. Behav Ecol 21:1349–1359. https://doi.org/10.1093/beheco/arq149
Hogan BG, Hildenbrandt H, Scott-Samuel NE, Cuthill IC, Hemelrijk CK (2017) The confusion effect when attacking simulated three-dimensional starling flocks. R Soc Open Sci 4:160564. https://doi.org/10.1098/rsos.160564
Imanishi K (1960) Social organization of subhuman primates in their natural habitat. Curr Anthropol 1:393–407. https://doi.org/10.1086/200134
Inada Y, Kawachi K (2002) Order and flexibility in the motion of fish schools. J Theor Biol 214:371–387. https://doi.org/10.1006/jtbi.2001.2449
Ioannou CC, Guttal V, Couzin ID (2012) Predatory fish select for coordinated collective motion in virtual prey. Science 337:1212–1215. https://doi.org/10.1126/science.1218919
Jolles JW, Boogert NJ, Sridhar VH, Couzin ID, Manica A (2017) Consistent individual differences drive collective behavior and group functioning of schooling fish. Curr Biol 27:2862–2868. https://doi.org/10.1016/j.cub.2017.08.004
Kappeler P, Shultz S, Clutton-Brock T, Lucas D (2019) Social complexity: patterns, processes, and evolution. Behav Ecol Sociobiol. https://doi.org/10.1007/s00265-018-2613-4
Kastberger G, Schmelzer E, Kranner I (2008) Social waves in giant honeybees repel hornets. PLoS One 3:e3141. https://doi.org/10.1371/journal.pone.0003141
Krause J, Ruxton GD (2002) Living in groups. Oxford University Press, Oxford
Landeau L, Terborgh J (1986) Oddity and the ‘confusion effect’ in predation. Anim Behav 34:1372–1380. https://doi.org/10.1016/S0003-3472(86)80208-1
Magurran AE (1990) The adaptive significance of schooling as an anti-predator defence in fish. Ann Zool Fenn 27:51–66
Magurran AE, Pitcher TJ (1987) Provenance, shoal size and the sociobiology of predator-evasion behaviour in minnow shoals. Proc R Soc Lond B 229:439–465. https://doi.org/10.1098/rspb.1987.0004
Nøttestad L, Axelsen BE (1999) Herring schooling manoeuvres in response to killer whale attacks. Can J Zool 77:1540–1546. https://doi.org/10.1139/z99-124
Okubo A (1986) Dynamical aspects of animal grouping: swarms, schools, flocks, and herds. Adv Biophys 22:1–94. https://doi.org/10.1016/0065-227X(86)90003-1
Patefield WM (1981) Algorithm AS 159: an efficient method of generating random r x c tables with given row and column totals. J R Stat Soc C-Appl 30:91–97. https://doi.org/10.2307/2346669
Pitcher TJ, Wyche CJ (1983) Predator-avoidance behaviours of sand-eel schools: why schools seldom split. In: Noakes DLG, Lindquist DG, Helfman GS, Ward JA (eds) Predators and prey in fishes. Developments in environmental biology of fishes, vol 2. Springer, Dordrecht, pp 193–204. https://doi.org/10.1007/978-94-009-7296-4_21
Pomeroy H, Heppner F (1992) Structure of turning in airborne rock dove (Columba livia) flocks. Auk 109:256–267. https://doi.org/10.2307/4088194
Procaccini A, Orlandi A, Cavagna A, Giardina I, Zoratto F, Santucci D, Chiarotti F, Hemelrijk CK, Alleva E, Parisi G, Carere C (2011) Propagating waves in starling, Sturnus vulgaris, flocks under predation. Anim Behav 82:759–765. https://doi.org/10.1016/j.anbehav.2011.07.006
Reynolds CV (1987) Flocks, herds and schools: a distributed behavioral model. Comp Graphics 21:25–34. https://doi.org/10.1145/37401.37406
Romey WL, Lamb AR (2015) Flash expansion threshold in whirligig swarms. PLoS One 10:e0136467. https://doi.org/10.1371/journal.pone.0136467
Schneider CA, Rasband WS, Kevin W, Eliceiri KW (2012) NIH image to ImageJ: 25 years of image analysis. Nat Methods 9:671–675. https://doi.org/10.1038/nmeth.2089
Shaw E (1978) Schooling fishes: the school, a truly egalitarian form of organization in which all members of the group are alike in influence, offers substantial benefits to its participants. Am Sci 66:166–175
Sumpter DJ, Szorkovszky A, Kotrschal A, Kolm N, Herbert-Read JE (2018) Using activity and sociability to characterize collective motion. Phil Trans R Soc B 373:20170015. https://doi.org/10.1098/rstb.2017.0015
Tinbergen N (1951) The study of instinct. Oxford University Press, Oxford
Vicsek T, Zafeiris A (2012) Collective motion. Phys Rep 517:71–140. https://doi.org/10.1016/j.physrep.2012.03.004
Zoratto F, Carere C, Chiarotti F, Santucci D, Alleva E (2010) Aerial hunting behaviour and predation success by peregrine falcons Falco peregrinus on starling flocks Sturnus vulgaris. J Avian Biol 41:427–433. https://doi.org/10.1111/j.1600-048X.2010.04974.x
The video material for this project was gathered during a NEST programme (STREP project ‘StarFlag’ no. 12682) aimed at studying animal group movements. The unit collecting field data was coordinated by Enrico Alleva and Daniela Santucci. We like to thank the Self-Organisation Lab for helpful discussions. Robin Mills, Tom Versluijs and Kees Schreven have provided valuable insights on earlier drafts. We like to thank Roelof Hut for his help with the analysis of the wave events using ImageJ. Finally, we thank Peter Kappeler, Matthias Loretto, Dieter Lukas and an anonymous reviewer for their insightful comments.
This work is financed by the Netherlands Organisation for Scientific Research (NWO), the Open Technology Programme (OTP) Preventing bird strikes: Developing RoboFalcons to deter bird flocks project number 14723, and cooperation with CC was funded by two visitor grants from NWO (040.11.468 and 040.11.573/1798).
This study is purely observational and did not involve captive animals or experimental manipulations, only analyses of video material collected for previous studies. The video recordings of the flying flocks and falcons were taken from hundreds of meters distance in an urban environment and did not cause any disturbance to the birds.
Conflict of interest
The authors declare that they have no conflict of interest.
Communicated by P. M. Kappeler
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article is a contribution to the Topical Collection Social complexity: patterns, processes, and evolution - Guest Editors: Peter Kappeler, Susanne Shultz, Tim Clutton-Brock, and Dieter Lukas
Electronic supplementary material
(MP4 42,437 kb)
(MP4 20,589 kb)
(DOCX 1203 kb)
About this article
Cite this article
Storms, R.F., Carere, C., Zoratto, F. et al. Complex patterns of collective escape in starling flocks under predation. Behav Ecol Sociobiol 73, 10 (2019). https://doi.org/10.1007/s00265-018-2609-0