Isobel Watts’s research while affiliated with University of Oxford and other places

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Publications (6)


The supplementary material document named methods
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January 2017

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11 Reads

Isobel Watts

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Schematic detailing the two elevation angles (θ) calculated. Two vertical reference frames were used for the spatial positioning calculations based on either (a) gravity (θg) or (b) body orientation (θb). We placed the follower (dark grey) at the centre of the coordinate system and calculated the relative position of the leader (light grey) with respect to the follower fish's heading. Here θ indicates the angle between the respective horizontal (x–y) plane and a straight line between the two fish.
Illustration of the three-dimensional shape of a school. (a) A 50-frame (1.56 s) segment of shoal 4 in three dimensions. Colours indicate individual fish and match those in (b) and figure 3. (b) Elevation profile for shoal 4 over the first 15 s of reconstructed data (480 frames). The black bar indicates the 50-frame segment plotted in (a).
Leader–follower interactions in two and three dimensions. (a) Momentary leader–follower interactions over 50-frame time windows for an example shoal (shoal 4) using data in (a) three dimensions and (b) two dimensions. The coloured bars indicate the identities of the fish following the leader fish denoted on the left y-axis (followers' colours are specified along the right y-axis). If there are multiple leaders of an individual, only the top individual of the hierarchy is shown for better visibility. Solid black bars indicate that the leader fish on the left y-axis was not following anyone, because it was leading the hierarchy, because it was not interacting with anyone else at that time point, or because the analysis could not find leader–follower relations owing to the presence of mutual interactions. Triangles on the x-axis indicate the exact frame used to plot the hierarchies in (c,d).
Comparison of two- and three-dimensional τ-values. (a) A density correlation plot of two- and three-dimensional τ-values. (b) Cumulative frequency plot of the absolute differences between two- and three-dimensional τ-values. The red lines indicate where 90% and 95% of the values lie.
Density of the angular orientation of the leader fish in relation to the follower. Calculations used two vertical reference frames, (a) body orientation and (b) gravity. Elevation has the range −90°: 90° and azimuth −180°: 180°. The centre of the map (θ = 0°, ϕ = 0°) corresponds to directly in front of the follower fish and the same elevation as the follower fish, the points θ = 0°, ϕ = 180° and θ = 0°, ϕ = −180° correspond to directly behind the follower fish and θ = 90°, ϕ = 0° corresponds to directly above the follower fish.
Validating two-dimensional leadership models on three-dimensionally structured fish schools

January 2017

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302 Reads

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18 Citations

Identifying leader–follower interactions is crucial for understanding how a group decides where or when to move, and how this information is transferred between members. Although many animal groups have a three-dimensional structure, previous studies investigating leader–follower interactions have often ignored vertical information. This raises the question of whether commonly used two-dimensional leader–follower analyses can be used justifiably on groups that interact in three dimensions. To address this, we quantified the individual movements of banded tetra fish (Astyanax mexicanus) within shoals by computing the three-dimensional trajectories of all individuals using a stereo-camera technique. We used these data firstly to identify and compare leader–follower interactions in two and three dimensions, and secondly to analyse leadership with respect to an individual's spatial position in three dimensions. We show that for 95% of all pairwise interactions leadership identified through two-dimensional analysis matches that identified through three-dimensional analysis, and we reveal that fish attend to the same shoalmates for vertical information as they do for horizontal information. Our results therefore highlight that three-dimensional analyses are not always required to identify leader–follower relationships in species that move freely in three dimensions. We discuss our results in terms of the importance of taking species' sensory capacities into account when studying interaction networks within groups.



Misinformed leaders lose influence over pigeon flocks

September 2016

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63 Reads

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26 Citations

In animal groups where certain individuals have disproportionate influence over collective decisions, the whole group's performance may suffer if these individuals possess inaccurate information. Whether in such situations leaders can be replaced in their roles by better-informed group mates represents an important question in understanding the adaptive consequences of collective decision-making. Here, we use a clock-shifting procedure to predictably manipulate the directional error in navigational information possessed by established leaders within hierarchically structured flocks of homing pigeons (Columba livia). We demonstrate that in the majority of cases when leaders hold inaccurate information they lose their influence over the flock. In these cases, inaccurate information is filtered out through the rearrangement of hierarchical positions, preventing errors by former leaders from propagating down the hierarchy. Our study demonstrates that flexible decision-making structures can be valuable in situations where 'bad' information is introduced by otherwise influential individuals. © 2016 The Author(s) Published by the Royal Society. All rights reserved.


Composition of test flocks (groups AB and CD) with respect to training experienced by their members.
Example of leadership hierarchy. Network shown is for flock AB, site 2, release 7. Nodes are individual birds, and for each pairwise comparison edges point from leader to follower. The values represent the time delays (in seconds) between each pair. The lack of an edge means either the Cmax value between the pair was below 0.99 or the delay was below 0.2, the lowest resolution of the GPS device. Dark grey nodes show individuals experienced at the site shown, while light grey nodes are the inexperienced birds.
The probability that an individual occupies the top or the bottom leadership hierarchical position as a function of experience. Data are across all flights. Dark grey represents experienced birds and light grey inexperienced birds. The dashed line indicates chance level. Experienced birds occupied the top leadership hierarchical position more often than expected by chance (see main text for statistical detail).
Lack of experience-based stratification in homing pigeon leadership hierarchies

February 2016

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191 Reads

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21 Citations

In societies that make collective decisions through leadership, a fundamental question concerns the individual attributes that allow certain group members to assume leadership roles over others. Homing pigeons form transitive leadership hierarchies during flock flights, where flock members are ranked according to the average time differences with which they lead or follow others' movement. Here, we test systematically whether leadership ranks in navigational hierarchies are correlated with prior experience of a homing task. We constructed experimental flocks of pigeons with mixed navigational experience: half of the birds within each flock had been familiarized with a specific release site through multiple previous releases, while the other half had never been released from the same site. We measured the birds' hierarchical leadership ranks, then switched the same birds' roles at a second site to test whether the relative hierarchical positions of the birds in the two subsets would reverse in response to the reversal in levels of experience. We found that while across all releases the top hierarchical positions were occupied by experienced birds significantly more often than by inexperienced ones, the remaining experienced birds were not consistently clustered in the top half-in other words, the network did not become stratified. We discuss our results in light of the adaptive value of structuring leadership hierarchies according to 'merit' (here, navigational experience).


Supplementary Material from Misinformed leaders lose influence over pigeon flocks

January 2016

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23 Reads

In animal groups where certain individuals have disproportionate influence over collective decisions, the whole group's performance may suffer if these individuals possess inaccurate information. Whether in such situations leaders can be replaced in their roles by better-informed group mates represents an important question in understanding the adaptive consequences of collective decision-making. Here, we use a clock-shifting procedure to predictably manipulate the directional error in navigational information possessed by established leaders within hierarchically structured flocks of homing pigeons (Columba livia). We demonstrate that in the majority of cases when leaders hold inaccurate information they lose their influence over the flock. In these cases, incorrect information is filtered out through the rearrangement of hierarchical positions, preventing errors by former leaders from propagating down the hierarchy. Our study demonstrates that flexible decision-making structures can be valuable in situations where ‘bad’ information is introduced by otherwise influential individuals.

Citations (3)


... To solve the problems of increasing the efficiency of methods of fishing for schooling fish, mathematical models are created, for the development of which a large amount of accumulated factual material and knowledge of the main patterns and mechanisms of schooling behavior are used. Such models are being used not only to predict the reactions of schooling fish to various fishing gear under various conditions, but also to qualitatively describe the typical manifestations of the movements of an entire school as a whole and the movements of individuals, to verify and refine already known patterns and to search for new mechanisms within and inter-school interactions (Buyakas et al., 1978;Niwa, 1994;Nonacs et al., 1998;Gunji et al., 1999;Couzin et al., 2002;Huse et al., 2002;Kunz and Hemelrijk, 2003;Viscido et al., 2004;Hensor et al., 2005;Zheng et al., 2005;Gautrais et al., 2008;Hemelrijk and Hildenbrandt, 2008;Abaid and Porfiri, 2010;Beyer et al., 2010;Mayer, 2010;Lopez et al., 2012;Hemelrijk et al., 2015;Herbert-Read et al., 2015;Watts et al., 2017;Oza et al., 2019;Jhawar et al., 2020;Wang et al., 2022;Ceron et al., 2023;Gómez-Nava et al., 2023). ...

Reference:

Problems and Prospects of Studying Schooling Behavior of Fish
Validating two-dimensional leadership models on three-dimensionally structured fish schools

... Recent studies have shown that a well-defined hierarchy among individuals does exist in pigeon flocks in flight [4,5], thus providing strong evidence to support the leadership hypothesis. Moreover, hierarchical relationships in pigeon flocks are very stable [27], i.e., once the hierarchy is formed, the individuals in the flock can be quite resistant to change, unless the leaders are misled by external information [28]. ...

Misinformed leaders lose influence over pigeon flocks

... This study employs an adaptation of the Cucker-Smale model, enhanced with inter-particle bonding forces [20], to reflect the inherent heterogeneity of real flocking systems, where agents exhibit diverse dynamical behaviors. Watts' [21] research highlighted the pivotal role of leaders in guiding pigeon flocks towards efficient grouping control, enhancing collision avoidance and travel efficiency towards the target. Additionally, other studies [22] have indicated that in natural flocking systems, leaders influence only a limited number of nearby followers-typically six to seven-asserting complete control and perception over the target without being affected by followers. ...

Lack of experience-based stratification in homing pigeon leadership hierarchies