How do birds' tails work? Delta-wing theory fails to predict tail shape during flight.

Birds appear to use their tails during flight, but until recently the aerodynamic role that tails fulfil was largely unknown. In recent years delta-wing theory, devised to predict the aerodynamics of high-performance aircraft, has been applied to the tails of birds and has been successful in providing a model for the aerodynamics of a bird's tail. This theory now provides the conventional explanation for how birds' tails work. A delta-wing theory (slender-wing theory) has been used, as part of a variable-geometry model to predict how tail and wing shape should vary during flight at different airspeeds. We tested these predictions using barn swallows flying in a wind tunnel. We show that the predictions are not quantitatively well supported. This suggests that a new theory or a modified version of delta-wing theory is needed to adequately explain the way in which morphology varies during flight.     

Lift generation by the avian tail.

Variation with tail spread of the lift generated by a bird tail was measured on mounted, frozen European starlings (Sturnus vulgaris) in a wind tunnel at a typical air speed and body and tail angle of attack in order to test predictions of existing aerodynamic theories modelling tail lift. Measured lift at all but the lowest tail spread angles was significantly lower than the predictions of slender wing, leading edge vortex and lifting line models of lift production. Instead, the tail lift coefficient based on tail area was independent of tail spread, tail aspect ratio and maximum tail span. Theoretical models do not predict bird tail lift reliably and, when applied to tail morphology, may underestimate the aerodynamic optimum tail feather length. Flow visualization experiments reveal that an isolated tail generates leading edge vortices as expected for a low-aspect ratio delta wing, but that in the intact bird body-tail interactions are critical in determining tail aerodynamics: lifting vortices shed from the body interact with the tail and degrade tail lift compared with that of an isolated tail.     

Animal flight dynamics I. Stability in gliding flight

Stability is as essential to flying as lift itself, but previous discussions of how flying animals maintain stability have been limited in both number and scope. By developing the pitching moment equations for gliding animals and by discussing potential sources of roll and yaw stability, we consider the various sources of static stability used by gliding animals. We find that gliding animals differ markedly from aircraft in how they maintain stability. In particular, the pendulum stability provided when the centre of gravity lies below the wings is a much more important source of stability in flying animals than in most conventional aircraft. Drag-based stability also appears to be important for many gliding animals, whereas in aircraft, drag is usually kept to a minimum. One unexpected consequence of these differences is that the golden measure of static pitching stability in aircraft--the static margin--can only strictly be applied to flying animals if the equilibrium angle of attack is specified. We also derive several rules of thumb by which stable fliers can be identified. Stable fliers are expected to exhibit one or more of the following features: (1) Wings that are swept forward in slow flight. (2) Wings that are twisted down at the tips when swept back (wash-out) and twisted up at the tips when swept forwards (wash-in). (3) Additional lifting surfaces (canard, hindwings or a tail) inclined nose-up to the main wing if they lie forward of it, and nose-down if they lie behind it (longitudinal dihedral). Each of these predictions is directional--the opposite is expected to apply in unstable animals. In addition, animals with reduced stability are expected to display direct flight patterns in turbulent conditions, in contrast to the erratic flight patterns predicted for stable animals, in which large restoring forces are generated. Using these predictions, we find that flying animals possess a far higher degree of inherent stability than has generally been recognized. This conclusion is reinforced by measurements of the relative positions of the centres of gravity and lift in birds, which suggest that the wings alone may be sufficient to provide longitudinal static stability. Birds may therefore resemble tailless aircraft more closely than conventional aircraft with a tailplane.     

Patterns of rectrix rachis modification in pintails and the evolution of sexually selected traits

In order to transmit aerodynamic forces to the rest of the body, tail feathers need to be stiff to resist lift forces with minimum deformation. Because delta-wing theory predicts that such feathers do not produce lift forces beyond the point of the maximum continuum width of the tail, species with pintails should not require stiff central rectrices distal to that point. We tested this prediction by comparing the relative thickness of the central rectrix rachis in taxa with pintails and triangular tails. Fourteen pairs of closely related species or species groups belonging to the families Phaethontidae, Phalacrocoracidae, Anatidae, Stercorariidae, Psittacidae, Trochilidae, Alcedinidae, Momotidae, Meropidae, Bucerotidae, Tyrannidae, Pipridae and Nectariniidae were compared. Twelve of the phylogenetically independent comparisons showed that the taxa with triangular tails have higher relative rachis thickness (RRT) than their pintailed relatives just behind the point of the maximum continuum width of the tail. In contrast, two taxa with pintails showed proportionately higher RRT than their triangular-tailed relatives. Triangular tails showed an approximately linear relationship between RRT and relative rachis length, which contrasts with a proportionately greater increase in RRT from distal to proximal parts of the feather in 12 pintailed taxa. These results show that in most of the pintailed taxa studied the distal part of the central rectrix rachis has not been selected to resist lift forces and may be adaptively reduced to attenuate the costs of a hypertrophied ornament. However, the presence of distally reinforced rachices in Eumomota superciliosa and Colonia colonus suggests that a different explanation may be required to account for the design of pintail structure in other taxa.  © 2005 The Linnean Society of London, Biological Journal of the Linnean Society , 2005, 86 , 477–485.     

Flight mechanics of a tailless articulated wing aircraft

This paper investigates the flight mechanics of a micro aerial vehicle without a vertical tail in an effort to reverse-engineer the agility of avian flight. The key to stability and control of such a tailless aircraft lies in the ability to control the incidence angles and dihedral angles of both wings independently. The dihedral angles can be varied symmetrically on both wings to control aircraft speed independently of the angle of attack and flight path angle, while asymmetric dihedral can be used to control yaw in the absence of a vertical stabilizer. It is shown that wing dihedral angles alone can effectively regulate sideslip during rapid turns and generate a wide range of equilibrium turn rates while maintaining a constant flight speed and regulating sideslip. Numerical continuation and bifurcation analysis are used to compute trim states and assess their stability. This paper lays the foundation for design and stability analysis of a flapping wing aircraft that can switch rapidly from flapping to gliding flight for agile manoeuvring in a constrained environment.     

HOW TO COMPENSATE FOR COSTLY SEXUALLY SELECTED TAILS: THE ORIGIN OF SEXUALLY DIMORPHIC WINGS IN LONG-TAILED BIRDS

Recent work on birds suggests that certain morphological differences between the sexes may have evolved as an indirect consequence of sexual selection because they offset the cost of bearing extravagant ornaments used for fighting or mate attraction. For example, long-tailed male sunbirds and widowbirds also have longer wings than females, perhaps to compensate for the aerodynamic costs of tail elaboration. We used comparative data from 57 species to investigate whether this link between sexual dimorphism in wing and tail length is widespread among long-tailed birds. We found that within long-tailed families, variation in the extent of tail dimorphism was associated with corresponding variation in wing dimorphism. One nonfunctional explanation of this result is simply that the growth of wings and tails is controlled by a common developmental mechanism, such that long-tailed individuals inevitably grow long wings as well. However, this hypothesis cannot account for a second pattern in our data set: as predicted by aerodynamic theory, we found that, comparing across long-tailed families, sexual dimorphism in wing length varied with tail shape as well as with sex differences in tail length. Thus, wing dimorphism was generally greater in species with aerodynamically costly graduated tails than in birds with cheaper, streamer-shaped tails. This result was not caused by confounding phylogenetic effects, because it persisted when phylogeny was controlled for, using an independent comparisons method. Our findings therefore confirm that certain aspects of sexual dimorphism may sometimes have evolved through selection for traits that reduce the costs of elaborate sexually selected characters. We suggest that future work aimed at understanding sexual selection by investigating patterns of sexual dimorphism should attempt to differentiate between the direct and indirect consequences of sexual selection.     

Characteristics of the alula in relation to wing and body size in the Laridae and Sternidae

The alula is a small structure present on the leading edge of bird wings and is known to enhance lift by creating a small vortex at its tip. Alula size vary among birds, but how this variation is associated with the function of the alula remains unclear. In this study, we investigated the relationship between the size and shape of the alula and the features of the wing in the Laridae and Sternidae. Laridae birds have generally longer wings and greater loadings than Sternidae birds. The two families differed in the relationships between body size or wing length and the size or shape of the alula. In the Laridae, the aspect ratio of the alula was smaller in the species that have relatively longer wings, but the pattern was opposite in the Sternidae. The aspect ratio of the alula was greater in the species that are relatively heavier in the Sternidae but not in the Laridae. Combined, these results suggest that the species with high loading potential and long wings exhibit long alula. We hypothesize that heavier species may benefit from having longer alula if they perform flights with higher attack angles than lighter species, as longer alula would better suppress flow separation at higher attack angles. Our results suggest that the size and shape of the alula can be explained in one allometric landscape defined by wing length and loading in these two closely related families of birds with similar wing shapes.     

The Flight Apparatus of Migratory and Sedentary Individuals of a Partially Migratory Songbird Species

Variations in the geometry of the external flight apparatus of birds are beneficial for different behaviors. Long-distance flight is less costly with more pointed wings and shorter tails; however these traits decrease maneuverability at low speeds. Selection has led to interspecific differences in these and other flight apparatuses in relation to migration distance. If these principles are general, how are the external flight apparatus within a partially migratory bird species shaped in which individuals either migrate or stay at their breeding grounds? We resolved this question by comparing the wing pointedness and tail length (relative to wing length) of migrant and resident European blackbirds (Turdus merula) breeding in the same population. We predicted that migrant blackbirds would have more pointed wings and shorter tails than residents. Contrary to our predictions, there were no differences between migrants and residents in either measure. Our results indicate that morphological differences between migrants and residents in this partially migratory population may be constrained.     

FLOW PATTERN AROUND THE RIGID CEPHALIC SHIELD OF THE DEVONIAN AGNATHAN ERRIVASPIS WAYNENSIS (PTERASPIDIFORMES: HETEROSTRACI)

Abstract: Palaeozoic armoured agnathans (or ostracoderms) are characterised by having an external, bone shield enclosing the anterior part of their bodies, which demonstrate great diversity of both forms and sizes. The functional significance of these cephalic shields remains unclear (they may have been a functional analogue of the vertebral column, or merely afforded protection). Here we assess the importance of the cephalic shield in terms of locomotion. In order to do this, we have studied flow patterns of the Devonian heterostracan Errivaspis waynensis ( White, 1935 ), using an anatomically correct model of E. waynensis positioned at different pitching angles. The fluid flow was visualised in a wind tunnel, using planar light sheet techniques, adding vaporised propylene glycol to the fluid. The flow pattern over the cephalic shield of Errivaspis is dominated by the formation of leading‐edge vortices (LEVs). When the model was positioned at angles of attack of ‐2 degrees or higher a pair of nearly symmetrical, counter‐rotating primary vortices were produced, which flowed downstream over the upper surface of the cephalic shield. At moderate angles of attack, LEVs remained attached to the dorsal surface, but, as the angle of attack increased above 7 degrees, vortices began to separate from the surface at posterior locations. At a high angles of attack (around 12 degrees or 13 degrees), vortex breakdown (or vortex burst) occured. The body‐induced vortical flow around the cephalic shield is very similar to the that described over delta wing aircraft. This strategy generates lift forces through vortex generation (vortex lift). Based on this analogue and knowing that Errivaspis lacked pectoral fins or any other obvious control surfaces, vortex lift forces added through this mechanism may have played a major role in the locomotion of these primitive fishes, not only to counteract the negative buoyancy of the fish, but also as a means of manoeuvring.     

The tail end of hummingbird evolution: parallel flight system development in living and ancient birds

Evolutionary innovations are central to debates about biological uniformitarianism because their very novelty implies a distinct evolutionary dynamic. Traditional scenarios for innovations in the development of avian powered flight exemplify the kinds of distinctions considered to occur at different times during the history of innovations. Thus, the progressive change of the wing stroke mechanism early in its evolution is considered to have imposed strong functional and historical constraints on tail shape diversity, whereas attainment of the modern flight stroke mechanism is considered to have liberated the tail to radiate into a wide variety of other functions and forms. Detailed analyses of living hummingbirds revealed that these highly aerial birds actually expressed many parallel functional constraints and historically progressive patterns observed earlier in avian history: (1) more basal lineages had relatively weak wing muscles (patagial muscles and tendons, TPB), convex to square tails, and more linear flight employed in nonterritorial foraging; (2) more derived lineages had a stronger TPB, forked tails, accentuated growth of tail fork, and more manoeuvrable and agile flight employed in territorial foraging; and (3) the most derived lineage had the strongest TPB, greatly reduced tails, and mainly bee-like flight. These associations make functional sense because convex tails increase stability and efficiency in linear flight, concave tails augment lift for turning flight in territorial defence, and tails become aerodynamically disadvantageous if the wings provide sufficient lift. Derived hummingbird lineages also demonstrated the same expansion of tail shape and taxonomic diversity associated with perfection of the modern wing stroke mechanism earlier in avian history. Thus, living hummingbirds are a microcosm of overall avian flight evolution. Other living avian (‘aerial courser') and extinct reptilian (Pterosaur) clades with extraordinary flight abilities provide evidence for similar patterns, suggesting a broadly defined uniformitarianism (early constraint followed by later radiation) at the limits of the flight performance envelope throughout vertebrate history. Correlated evolution of TPB and tail form suggests that natural selection on an integrated flight system was the principal mechanism fostering the avian patterns, although strengthening of wing muscles in derived lineages may have facilitated expansion of caudal morphological diversity through a balance between natural and sexual selection on males. These findings suggest that wing muscles, locomotor integration, and phylogenetic patterns are essential for understanding function and adaptation of tails in living as well as ancient birds. © 2009 The Linnean Society of London, Biological Journal of the Linnean Society, 2009, 97 , 467–493.     

Tail effects on yaw stability in birds

Bird tails, which are an aerodynamic surface in the horizontal plane, are treated with regard to their effects on yaw stability. Reference is made to wings of very small aspect ratio similar to the values of bird tails in order to identify features which are significant for the aerodynamic yawing moment characteristics due to sideslip. It is shown that there are yawing moments of considerable magnitude for this aspect ratio region. Furthermore, the lift coefficient, which also exerts an influence, is included in the treatment of yaw stability. To show more concretely the addressed effects for birds, the yawing moment characteristics of the wing-tail combination of a pigeon, which is considered as a representative example, are treated in detail. For this purpose, a sophisticated aerodynamic method capable to deal with the mutual flow interactions between the tail and the wing is used to compute results of high precision. The yawing moment characteristics of the pigeon wing-tail combination with respect to the sideslip angle and the lift coefficient are determined, with emphasis placed on the contribution of the tail. It is shown that there is a significant contribution of the tail to yaw stability. The findings of this paper on the contribution of the tail to the yawing moment characteristics are supported by an evaluation of existing experimental data. Furthermore, the physical mechanisms are considered which are the reasons for the stabilizing role of the tail. These effects concern the contribution of the drag acting at the tail to the yawing moment. In addition, it is shown that extended legs and feet, when exposed to the airflow, can contribute to yaw stability.     

Flight dynamics of a pterosaur-inspired aircraft utilizing a variable-placement vertical tail

Mission performance for small aircraft is often dependent on the turn radius. Various biologically inspired concepts have demonstrated that performance can be improved by morphing the wings in a manner similar to birds and bats; however, the morphing of the vertical tail has received less attention since neither birds nor bats have an appreciable vertical tail. This paper investigates a design that incorporates the morphing of the vertical tail based on the cranial crest of a pterosaur. The aerodynamics demonstrate a reduction in the turn radius of 14% when placing the tail over the nose in comparison to a traditional aft-placed vertical tail. The flight dynamics associated with this configuration has unique characteristics such as a Dutch-roll mode with excessive roll motion and a skid divergence that replaces the roll convergence.     

Prey Escape Direction is Influenced by the Pivoting Displays of Flush-Pursuing Birds

Painted redstart, Myioborus pictus, and its congeners in Central and South America, belong to a small fraction of insectivorous flush‐pursuing birds. Unlike most of the small insectivorous birds, which glean prey from substrates, the flush pursuers spread and pivot their conspicuously patterned tails and wings. This display triggers prey escape flights which are hypothesized to occur through visual stimulation of prey escape circuits [giant descending neuron cluster (GDNC) in Diptera] sensitive to the looming motion of an approaching bird, translational motion of a pivoting body with widely spread tail and contrast of the white‐black plumage pattern. In this paper, data from field observations of redstarts and experiments with bird models show an increase in the frequency of prey escapes away from the strong visual stimulation of an open tail, and in the direction opposite to that of the horizontal translational motion present in the pivots. We discuss how the effect on prey escape direction may enhance prey interception capabilities of redstarts during aerial pursuits. Combined with an earlier study the results show that, unlike the movements of typical gleaner–foragers, the flush displays by redstarts affect prey escape direction in a manner that may facilitate prey tracking and capture by birds. Because the GDNs, which mediate escape initiation, are not sensitive to motion direction, we hypothesize that other neurons, in addition to the GDNs, are involved in influencing the direction of escape responses.     

A rare predator exploits prey escape behavior: the role of tail-fanning and plumage contrast in foraging of the painted redstart (Myioborus pictus)

Escape response, triggered by an approaching predator, is acommon antipredatory adaptation of arthropods against insectivores.The painted redstart, Myioborus pictus, represents insectivorousbirds that exploit such antipredatory behaviors by flushing,chasing, and preying upon flushed arthropods. In field experimentsI showed that redstarts evoke jump and flight in prey by spreadingwings and tail: this display increased frequency of aerial chasesby redstarts. Artificial models with spread tails also elicitedescape responses more often than models with closed tails and wings.The white patches on black wings and tails additionally help:the frequency of chases decreased when the white patches werecovered with black dye. Black models also tended to elicit escaperesponse less often than black-and-white models did, at leastin some situations. Hence, the prey's ability to detect birdsand to flee could cause the evolution of predators specializedat using conspicuous behavior and contrast in body colorationto elicit and exploit such antipredatory responses. Redstartsconstitute only a small proportion of the predatory guild, andtheir adaptations to exploit the prey's behavior illustratethe theoretically modeled "rare enemy" effect present in multispeciespredator-prey systems. This is the first experimental studyof morphological and behavioral adaptations of a rare predatorthat both elicits and exploits antipredator escape behaviorof its prey against more common predators. Hence, the studydocuments a behavior that could be evolutionarily explainedonly if indirect interactions in predator-prey communities aretaken into account.     

Der Vorderflügel großer Heuschrecken als Luftkrafterzeuger

Summary The mode is demonstrated in which the three regions of the forewings of large grasshoppers, i.e. the costal, radial and anal parts (Fig. 2) are folded against each other during up- and downstroke (Fig. 1; measurements made by W. Zarnack). The aerodynamic effects of this wing folding are determined from the measurements of lift carried out on wing models in parallel air stream (Fig. 3) and on rotating wing models (Fig. 4). Accordingly wing bending during downstroke generates distinctly higher lift at small and medium angles of attack than a flat wing having the same dimensions and moving at the same speed. It generates less lift at high angles of attack. Wing bending during upstroke generates higher lift only at>15°. Lift remains greater than that of a flat wing up to the highest angles of attack. These conclusions are supported by measurements of downstroke wind velocity (Fig. 5). Therefore it is possible to change the lift of right and left wings in order to generate moments for flight control around all three axes of the animal's system of co-ordinates without changing the rough kinematics of the beating wings.

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Der Verfasser dankt Dr. H.K. Pfau für die Einstellung der Flügelmodelle auf typische Mittelpositionen nach funktionsmorphologischen Gesichtspunkten (Abb. 2a) und Dr. W. Zarnack für die Vorpublikationserlaubnis der in Abb. 1 zusammengefaßten Meßdaten. Für meßtechnische Mitarbeit dankt er Frl. cand. rer. nat. U. Britz.     

Convergent evolution of the tradeoff between egg size and tail fork depth in swallows and swifts

Convergent evolution provides strong evidence of the power of natural selection, particularly for distantly related taxa. Swallows and swifts are such distantly related taxa; both are specialised to feed on flying insects and have similar morphological features, such as long wings. These birds also exhibit deeply forked tails in some species, but their function remains unclear; some have argued that fork tails have evolved due to sexual selection to attract mates, while others claim that viability selection for efficient foraging favours fork tails. A recent phylogenetic analysis found the negative relationship between female tail fork depth and egg size in swallows perhaps due to foraging costs of fork tails during egg formation, but its generality remains unclear. Here, using swifts, which differ from swallows by foraging on weak‐flying insects, we found that egg size significantly decreased with increasing female fork depth. Because female fork depth was not significantly related to clutch size, clutch size would not compensate for the relationship between egg size and fork depth. The current finding using swifts, together with the previous finding in swallows, provide strong support for an evolutionary tradeoff between the female plumage ornament and reproductive investment, as predicted by sexual selection theory.     

Design and analysis of biomimetic joints for morphing of micro air vehicles

Flight capability for micro air vehicles is rapidly maturing throughout the aviation community; however, mission capability has not yet matured at the same pace. Maintaining trim during a descent or in the presence of crosswinds remains challenging for fixed-wing aircraft but yet is routinely performed by birds. This paper presents an overview of designs that incorporate morphing to enhance their flight characteristics. In particular, a series of joints and structures is adopted from seagulls to alter either the dihedral or sweep of the wings and thus alter the flight characteristics. The resulting vehicles are able to trim with significantly increased angles of attack and sideslip compared to traditional fixed-wing vehicles.     

Aerodynamic yawing moment characteristics of bird wings

The aerodynamic yawing moments due to sideslip are considered for wings of birds. Reference is made to the experience with aircraft wings in order to identify features which are significant for the yawing moment characteristics. Thus, it can be shown that wing sweep, aspect ratio and lift coefficient have a great impact. Focus of the paper is on wing sweep which can considerably increase the yawing moment due to sideslip when compared with unswept wings. There are many birds the wings of which employ sweep. To show the effect of sweep for birds, the aerodynamic characteristics of a gull wing which is considered as a representative example are treated in detail. For this purpose, a sophisticated aerodynamic method is used to compute results of high precision. The yawing moments of the gull wing with respect to the sideslip angle and the lift coefficient are determined. They show a significant level of yaw stability which strongly increases with the lift coefficient. It is particularly high in the lift coefficient region of best gliding flight conditions. In order to make the effect of sweep more perspicuous, a modification of the gull wing employing no sweep is considered for comparison. It turns out that the unswept wing yields yawing moments which are substantially smaller than those of the original gull wing with sweep. Another feature significant for the yawing moment characteristics concerns the fact that sweep is at the outer part of bird wings. By considering the underlying physical mechanism, it is shown that this feature is most important for the efficiency of wing sweep. To sum up, wing sweep provides a primary contribution to the yawing moments. It may be concluded that this is an essential reason why there is sweep in bird wings.     

Gleitflug des FlugbeutlersPetaurus breviceps papuanus (Thomas)

Summary Experiments with models made on thin flat plates were made in front of a wind tunnel in order to determine the relationship between their coefficients of lift and drag (Fig. 2) and the angle of attack as well as their aspects of flow (Fig. 8). The following results were achieved. When the plates were covered on one side with the fur from aPetaurus' flight skin, coefficients of lift at average angles of attack were improved, the critical angle of attack was increased and the characteristics of flow separation were flattened. However, these positive effects were only achieved by physiological orientation of the fur (i.e. placed on the upper surface with fur lying backwards; Fig. 3). The gliding number is improved at very high angles of attack only (Fig. 6). Thus the fur of aPetaurus acts as a lift generator within high (critical) angles of attack, during gliding flight (Nachtigall, 1979). Other natural and synthetic furs show a qualitatively similar, but quantitatively less distinct effect (Fig. 7). The aerodynamic efficiency of a fur coating is due to the boundary layer effects provided by the individual hairs which seem to act as miniature back-flow breaks (Fig. 8,9). The bionic transferability of this effect to technical wings is discussed.

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Mit Unterstützung der Deutschen Forschungsgemeinschaft

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Für melßtechnische Mitarbeit danke ich Frfiulein Hedwig Reichel und Herrn Rainer Grosch. Frau Lore Dinnendahl danke ich für Literaturhinweise.     

Limits on the evolution of tail ornamentation in birds

In birds, elongated tails are one of the most common and most studied ornaments. However, the tail also has an aerodynamic function, playing a role in turning and slow flight. If a tail is to function as an ornament, then there will be an inevitable conflict between the aerodynamic role and the signaling role. Aerodynamic theory has developed to the point where it is possible to predict the aerodynamic and mechanical consequences of ornamental tails of different sizes and shapes. Tail elongation will influence many different mechanical and aerodynamic parameters. For at least some and possibly all of these parameters, there will be limits that are placed by the bird's anatomy, morphology, or physiology on the extent to which the effect of tail elongation could be tolerated. For example, if a particular tail morphology meant that the power required to fly exceeded the power available from the flight muscles, then the bird would obviously be unable to fly with such a tail. To examine whether these considerations could limit the development of ornamental tails, the effect of long tails of different shapes was examined on three parameters: static balance, lift-to-drag ratio, and the cost of flight. All three of these parameters were found to limit the range of possible tail morphologies that could be developed by birds. These limits were most acute for small birds, which may not be able to operate with a long tail of any shape. Slightly larger birds would be able to develop elongated streamers and forked tails but not pintails or wedge-shaped tails. Medium to large birds are less constrained and could develop a much wider range of tails than small birds, but there will always be limits to the sizes of tail ornament that could be developed. Thus the physical consequences of ornamentation on ecology and behavior are likely to be responsible for some of the patterns of ornamentation observed in nature.