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1 June 2014 The use of a Low Cost High Speed Camera to Monitor Wingbeat Frequency in Hummingbirds (Trochilidae)
Ronny Steen
Author Affiliations +
Abstract

Wingbeat frequency is an important parameter when studying flight performance in hummingbirds and could be put into an ecological and evolutionary context to investigate the decisions that a hummingbird takes regarding foraging efficiency. Previous studies of wingbeat frequencies in hummingbirds have been undertaken with captive birds, most probably due to limitations of experimental design and/or less mobile equipment. In the present paper I describe how I used a budget camera, which captured 220 frames per sec (fps), to film hummingbirds in order to quantify wingbeat frequency under natural conditions in Costa Rica. With this equipment I was able to obtain detailed information about stationary hovering flight in three different species; the charming hummingbird Amazilia decora, purple-throated mountain-gem Lampornis calolaema and violet sabrewing Campylopterus hemileucurus. Wingbeat frequency was higher for the purple-throated mountain-gem and the charming hummingbird compared to the larger violet sabrewing. It did not differ between the purple-throated mountain-gem and the charming hummingbird, which are more similar in size. In the purple-throated mountain-gem I found a higher wingbeat frequency and increased body inclination while hover-feeding compared to hovering in front of the feeder; hence it may be more costly to hover while feeding. It is hoped that the video techniques used here will encourage researchers to record wingbeat frequencies across a range of animal taxa.

Introduction

Wingbeat frequency is an important parameter when studying flight performance in hummingbirds (e.g., Greenewalt, 1960, 1975; Altshuler and Dudley, 2002; Hedenström, 2002; Warrick et al., 2005; Tobalske et al., 2007; Altshuler et al., 2010). Flight performance may have implications for the energetic demands of foraging and could potentially influence foraging efficiency (Wolf et al., 1975) and hence could be used in an ecological and evolutionary context to investigate the decisions that a hummingbird needs to take regarding flight (Pennycuick, 1998).

Previous studies of flight performance in hummingbirds have been undertaken with captive birds, employing expensive equipment (e.g. Weis-Fogh, 1972; Feinsinger and Chaplin, 1975; Wells, 1993; Warrick et al., 2005; Tobalske et al., 2007; Altshuler et al., 2010), Dong et al. (2010) being an exception. Until the last two decades, high speed movie has been mostly film-based and, as a consequence, camera systems have been relatively large (Vollmer and Möllmann, 2011a). This, in combination with experimental procedure, may have restricted those studies to hummingbirds in captivity.

High speed cameras reveal behaviour that is otherwise invisible to the human eye (e.g., Baker, 1979; Betts and Wootton, 1988; Bostwick and Prum, 2003; Warrick et al., 2005; Bundle et al., 2007; Hedrick et al., 2009; Aguayo et al., 2011; Sakamoto et al., 2012). However, these cameras are costly and not aimed at the average consumer, whereas budget compact cameras with a high speed movie function have become more available in recent years (Vollmer and Möllmann, 2011b; Sakamoto et al., 2012). For comparison, compact cameras with high speed movie function cost about $200–1,000 USD, whilst medium to high-end ones cost from $25,000 to more than $100,000 USD (Vollmer and Möllmann, 2011a).

For the present study I used a budget camera, which records at 220 fps, to film hummingbirds to quantify wingbeat frequency while hovering. To my knowledge this is the first study of hummingbirds using a small low-cost high speed camera under natural conditions, although a similar high speed camera has been used for studying flower-visiting insects (Sakamoto et al., 2012). I recorded wingbeat frequencies for three different species: charming hummingbird Amazilia decora, purple-throated mountain-gem Lampornis calolaema and violet sabrewing Campylopterus hemileucurus under natural conditions. Previous studies have found that wingbeat frequency decreases with body size (e.g., Altshuler et al., 2003, 2010), and therefore I hypothesised that it would be lower in the violet sabrewing since it is about twice the size of both the charming hummingbird and purple-throated mountain-gem (Schuchmann, 1999).

Optimal flight during nectar feeding will influence foraging efficiency (Wolf et al., 1975), and so hummingbirds may prefer flowers orientated in a given position and direction (Fenster et al., 2009; Sapir and Dudley, 2013). In the present study, the nectar hole was in the base of the feeder, only slightly angled towards the approaching hummingbird, so that it would have to tilt its body to some extent during nectar feeding. I therefore hypothesised that the angle of the body axis would differ between hover-feeding and hovering in front of the feeder, and that wingbeat frequencies will be higher during hover-feeding than in regular hovering.

Material and methods

Study site

This study was conducted during February 2012 in two different areas in Costa Rica. I video-recorded the purple-throated mountain-gem (males) and the violet sabrewing (not sexed) one morning at the Selvatura Hummingbird Garden near the entrance of the Selvatura Park in Monte verde (10° 20′ 31.51″ N, 84° 47′ 54.42″ W). The Selvatura Hummingbird Garden is a patio with a dozen hummingbird feeders, surrounded by forest. The video recordings of the charming hummingbird (male) were done in a garden at Drake Bay on the Pacific coast (8° 41′ 36.41″ N, 83° 41′ 16.88″ W) as the hummingbird foraged on Stachytarpheta frantzii (Verbenaceae) during one morning and one evening. The garden was remote and surrounded by rainforest.

Video recording

I used a Panasonic Lumix DMC FZ-150 camera (124 × 82 × 95 mm, 528 g) with high speed movie function (220 fps, resolution 320 × 240 (QVGA)). The motion pictures were recorded in Motion JPEG format

.

Since the occurrences of hummingbirds at Selvatura Hummingbird Garden in front of the feeder were highly predictable I mounted the camera on a tripod. In Drake Bay, on the other hand, the camera was handheld since the hummingbirds occurred randomly on the flowers of the plant. Motion caused by hand movement was negligible, due to the high frame rate

.

The hovering sequence differed between the two study areas. At the feeder station the hovering sequence often consisted of a repeated quick shift between hovering in front of the feeder and hovering while sucking nectar (i.e. hover-feeding). At the S. frantzii, a hovering sequence mostly consisted of hover-feeding, interrupted by moving to the next flower of the inflorescence or to the next inflorescence.

Video analyses

The video recordings were evaluated frame by frame using Windows Live Movie Maker (WLMM). Since the video recordings do not have a time stamp, the real duration was indirectly obtained from the time lapse counter of the WLMM player. The high speed recordings are as default played back at 30 fps, which means that the hovering flight takes place 7.333 times slower than real time during playback (viz. 220 fps divided on 30 fps equals 7.333). Hence, the time measured from the time lapse counter of the WLMM player was divided by 7.333, which equals the real time of the hovering flight. To control for possible inaccuracy with the WLMM player, I recorded a high speed movie for exactly 60 seconds, then played it back with the WLMM player. From the time lapse counter of the WLMM player it was measured to last for 440 s (440 divided by 60 equals 7.333).

The wingbeat frequency was calculated by counting the number (N) of wingbeat cycles and measuring the time (t) taken. The wingbeat frequency (f) was then defined as f = N/t (Pennycuick, 1990). A wingbeat cycle is defined as beginning when the wing is positioned at its uppermost, subsequently moving downward, and then back up to the uppermost position (fig. 1a). The wingbeat frequency was measured separately for hovering in front of the flower/feeder and hovering-feeding. The number of wingbeats was only measured when the hummingbirds held a steady hovering position and a minimum of five wingbeats was used to calculate wingbeat frequency (see Pennycuick, 1990).

I compared my results for wingbeat frequencies with previous findings from the literature. For the charming hummingbird I used data from Altshuler et al. (2010). For the purple-throated mountain-gem I used data from Dong et al. (2010) (conducted in the same study area as mine), which was indirectly obtained by extracting values from fig. 1 and appendix. For the violet sabrewing I used data from Greenewalt (1962), Altshuler et al. (2010) and Dong et al. (2010). Both the data from Altshuler et al. (2010) and Greenewalt (1962) were recorded with a high speed camera, whereas Dong et al. (2010) used sound recording equipment.

Fig. 1.

Typical body position of a hummingbird while hovering in front of a flower/feeder. (A) A wingbeat cycle consists of a downstroke phase and an upstroke phase (Greenewalt, 1960; Rósen et al., 2004; Warrick et al., 2005). The downstroke is the minimum interval during which the wingtip moves from its highest elevation to its lowest; the upstroke is the opposite sequence. (B) The inclination of the body axis was measured with a protractor using the coordinate axes as a reference point (I). From the body axis (II) the angle (III) was measured in relation to the horizontal plane of the reference point (I).

[Posición típica de un colibrí mientras se alimenta en flor/comedero. (A) Un ciclo de aleteo consiste en una fase de descenso y una de ascenso de las alas (Greenewalt, 1960; Rósen et al., 2004; Warrick, et al., 2005). El descenso es el tiempo transcurrido desde que la punta del ala está en el punto más alto (I) hasta que alcanza la extensión vertical mínina (II), mientras que la de ascenso es lo contrario. (B) La inclinación del eje corporal se midió mediante un transportador con los ejes de coordenadas en relación al punto (I). Desde el eje corporal (II) se midió el ángulo (III) en relación al plano horizontal del punto de referencia (I).]

f01_111.jpg

I obtained body mass data from the literature for each species (Schuchmann, 1999). For the charming hummingbird an average weight for males is 4.1 g; for the purple-throated mountain-gem it is 5.95 g for males (the average between two given weights; 5.7 and 6.2 g); and for the violet sabrewing (not sexed) it is 10.65g (the average between two given weights; 11.8 g for males and 9.5 g for females). The body masses were used in the figure presentation.

In addition, for the purple-throated mountain-gem and violet sabrewing I measured inclination to the body axis with respect to a reference point (Sapir and Dudley, 2013), both while hover-feeding and hovering in front of the feeder (fig. 1b). These measurements were conducted with the use of the free video analysis programme Tracker 4.80 ( http://www.cabrillo.edu/~dbrown/tracker/; Brown and Cox (2009)). I enabled coordinate axes as a reference point and used a protractor tool to measure angular arcs. The protractor tool has a vertex, two arms and an angle readout that displays degrees, with the lowermost arm fixed to the x-axis of the reference point.

Statistical analyses

Statistical tests were performed with R, version 2.14.2 (R Development Core Team, 2012). I used a linear mixed-effect model from the package ‘nlme’ (Pinheiro et al., 2013) with ‘treatment contrasts’ function in R (Pinheiro and Bates, 2000) to test for differences in wingbeat frequencies between each hummingbird species. I included ‘hovering sequence’ as random effect in the statistical test to control for non-independence between measurements of hovering flight from the same hovering sequence (Pinheiro and Bates, 2000). A hovering sequence was defined as one individual being present within the camera view, enabling me to keep track of that particular individual. A new approaching hummingbird was treated as new hovering sequence. In addition to control for non-independence between measurements by including ‘hover sequence’ as random effect, I also controlled for other variables associated with a given hover sequence (e.g. possible variations in weather conditions) and, most importantly, controlled for repeated measurements of the same individual. However I was unable to keep track of individuals outside the camera view, so repeated measurements of the same individuals may have occurred more often than recorded. In total I recorded 5 hover sequences for the charming hummingbird from which I obtained 20 unique measurements of stationary hovering flight; 12 hover sequences for the purple-throated mountain-gem from which I obtained 31 unique measurements of stationary hovering flight; and 3 hover sequences for the violet sabrewing from which I obtained 8 unique measurements of stationary hovering flight. In total this gives 59 measurements of hovering flight within 20 hovering sequences.

Since I needed a clear lateral view of the hummingbird to associate it with the reference point I was only able to measure the inclination to the body axis for 14 out of 31 hovering flights (data from all of the 5 hover sequences) of the purple-throated mountain-gem and 7 out of 8 (data from 2 out of the 3 hover sequences) for the violet sabrewing. I was not able to achieve a precise reference point to measure the inclination to the body axis for the charming hummingbird, since the camera was handheld and the hummingbirds occurred randomly on the flowers of S. frantzii.

I tested for differences in wingbeat frequencies between the three species. I also tested for differences in wingbeat frequencies between hover-feeding and hovering in front of the feeder for the purple-throated mountain-gem (but not for the other two species due to low sample sizes). Finally, I tested for differences in the angle of the body axis between hover-feeding and hover in front of the feeder for the purple-throated mountain gem. In all tests wingbeat frequency was log10 transformed to obtain approximate normal distributions.

Results

The quality of the high speed movie enabled fine scale analysis of the hummingbirds' wingbeat cycles

and fig 1. I obtained wingbeat frequencies for three different species (table 1, fig. 2). The wingbeat frequency varied significantly among the three species (linear mixed-effect model, F2, 17 = 12.16, p < 0.001). Wingbeat frequency was significantly higher for the purple-throated mountain-gem and the charming hummingbird compared to the violet sabrewing (linear mixed-effect model, F1, 17 = 23.86, p < 0.001 and F1, 17 = 10.19, p = 0.005, respectively). Purple-throated mountain-gem and the charming hummingbird did not differ significantly (linear mixed-effect model, F1, 17 = 3.93, p = 0.06).

The wingbeat frequency was significantly higher when hover-feeding compared to when hovering in front of the feeder for the purple-throated mountain-gem (linear mixed-effect model, F1, 8 = 78.64, p < 0.001). Due to the low sample size for either of the two categories, no statistical tests were performed for the charming hummingbird and violet sabrewing (table 1). The purple-throated mountain-gem tilted its body significantly more forward (i.e. towards the horizontal plane) when hover-feeding compared to when hovering in front of the feeder (42.3 ± 3.9° (n = 8) vs. 56.3 ± 3.0° (n = 6), linear mixed-effect model, F1, 8 = 89.53, p < 0.001)). Due to the low sample size no test was performed for the violet sabrewing (hover-feeding; 50.7 ± 2.0° (n = 3) vs. hovering in front of the feeder; 57.9 ± 3.2° (n = 4).

Table 1

Mean duration ± SD (range) of stationary hovering, number of wingbeats and wingbeat frequency (wingbeat-sec) when a) hovering in front of the flower/feeder and b) hover-feeding. In total there were 59 observations of hovering flight (n) divided between 20 hovering sequences (random effect).

[Duración media ± SD (rango) del cernido estacionario, número de aleteos y frecuencia de aleteo (aleteos-sec) cuando (a) el cernido es frente a flor/comedero y (b) el cernido es mientras se alimenta. Hubo en total 59 observaciones de vuelo cernido (n) en 20 secuencias de cernido (efecto aleatorio).]

t01_111.gif

Fig. 2.

Mean (±SD) wingbeat frequency for the three hummingbird species (Amazilia decora, Lampornis calolaema and Campylopterus hemileucurus). Filled circles denote hovering in front of the flower/feeder and open circles denotes hovering while hover-feeding. The dotted line shows data obtained from the literature: * Altshuler et al. (2010), ** Dong et al. (2010) and *** Greenewalt (1962).

[Frecuencia media (±SD) de aleteo para tres especies de colibríes (Amazilia decora, Lampornis calolaema y Campylopterus hemileucurus). Los círculos negros indican cernido frente a flor/comedero y los blancos cernido mientras se alimentan. Las líneas de trazos indican datos obtenidos de la literatura: * Altshuler et al., (2010), ** Dong et al., (2010) y *** Greenewalt (1962).]

f02_111.jpg

Discussion

The budget high speed camera used in this study revealed detailed information about wingbeat frequency for three different hummingbird species. This study has shown how budget high speed cameras may be used to reveal more information about flight dynamics of hummingbirds under natural conditions, without the constraints arising from costly equipment. Since the camera shot at 220 · fps it filmed multiple frames per wingbeat cycle for all of the three hummingbird species studied (see fig. 3). Multiple frames per wingbeat cycle are necessary to directly count the number of wingbeats per sec (Altshuler and Dudley, 2003).

The wingbeat frequency of the charming hummingbird while hovering in front of the flower was very similar to that found for this species by Altshuler et al. (2010). The wingbeat frequency of the purple-throated mountain-gem was slightly higher than found by Dong et al. (2010). In addition, the wingbeat frequency of the violet s abre wing when hovering in front of the feeder was higher in my study than found by Altshuler et al. (2010), although quite similar to those recorded by Greenewalt (1962) and Dong et al. (2010). The wingbeat frequency was found to be lower for the violet sabrewing compared to the charming hummingbird and the purple-throated mountain-gem. The violet sabrewing is about twice the size of the two other species. Hence, I found wingbeat frequency to be lower in larger than in smaller hummingbirds, as previously reported (e.g., Altshuler et al., 2003, 2010).

Fig. 3.

Frames recorded per wingbeat cycle (f(x)) as a function of the wingbeat frequency (x) with the use of a high speed camera that records 220 fps (f(x) = 220 fps x-1).

[Fotogramas registrados por ciclo de aleteo (f(x)) en función de la frecuencia de aleteo mediante el uso de una cámara de alta velocidad que registra 220 fotogramas por segundo (f(x) = 220 fps x-1).]

f03_111.jpg

The wingbeat frequencies were rather constant for the two different hovering categories. The higher wingbeat frequency while hover-feeding compared to hovering in front of the feeder for the purple-throated mountain-gem suggests that it is more costly to hover while feeding. This may be because the purple-throated mountain-gem tilted its body significantly towards the feeder while hover-feeding. Although not tested statistically due to low sample size, the data for the violet sabrewing suggests that it maintained about the same angle of the body both while hover-feeding and hovering in front of the feeder, most probably because its larger size and long curved bill maintained about the same body angle while hovering when sucking as while hovering in front of the feeder. Since hovering flight is energy demanding (Weis-Fogh, 1972; Chai et al., 1998; Fernández et al., 2011), from the hummingbirds point of view it would be more efficient with the nectar hole of the feeder situated closer to the edge and at an angle enabling an optimal body position while hovering (see fig. 1). Provision of a perch would be even better.

In summary, the low cost high speed camera used in this study is comparable with the high speed camera used to record flower-visiting insects (Sakamoto et al., 2012). With the high speed movie function the Panasonic Lumix camera captures 220 fps with a resolution at 320 × 240, whereas fps and resolution is not adjustable. In comparison, the Casio Exilim EX-F1 camera used by Sakamoto et al. (2012) has adjustable highspeed movie function (1200 fps; 336 × 96, 600 fps; 432 × 192, 300 fps; 512 × 384). Neither Panasonic nor Casio are exceptional with respect to their high-speed movie function; currently, many camera manufactures offer compact cameras with this function (e.g., Canon IXUS HS-series, GoPro Hero 3, Fujifilm FinePix HS-series, Kodak Playfull Dual, Nikon J1 and V1, Samsung TL350 (WB2000 in Europe), Sanyo Xacti-series, Sony HDR-CX110). All are compact and inexpensive, ranging from c. $200 to $1000 USD. The video techniques used in the present study may encourage researchers in other fields to record wingbeat frequencies across a range of animal taxa. Future studies on wingbeat frequencies under natural conditions could be put into an ecological and evolutionary context to investigate the decisions that a hummingbird needs to take regarding flight (Pennycuick, 1998).

Supplementary Electronic Material

Additional supporting information may be found in the on-line version of this article. See volume 61(1) on  www.ardeola.org

Video: Examples of wingbeat frequencies in three hummingbird species.

Acknowledgements.—

I am thankful to Jolanda H. Schneider, Jose A. H. Villalobos and David A. Ugalde for identifying A. decora and for being hospitable during my stay at Las Caletas Lodge in Drake Bay. I also wish to thank Svein Dale and Marte Marie Brynildsen for comments on the manuscript. I thank Joshua Cabell for proofreading the manuscript. Finally, I thank Andrés Ordiz for the Spanish translation.

Bibliography

1.

D. D. Aguayo , F. M. Santoyo , M. H. De la Torre , M. D. Salas-Araiza and C. Caloca-Méndez 2011. Comparison on different insects' wing displacements using high speed digital holographic interferometry. Journal of Biomedical Optics , 16: 1–8. Google Scholar

2.

D. L. Altshuler and R. Dudley 2002. The ecological and evolutionary interface of hummingbird flight physiology. Journal of Experimental Biology , 205: 2325–2336. Google Scholar

3.

D. L. Altshuler and R. Dudley 2003. Kinematics of hovering hummingbird flight along simulated and natural elevational gradients. Journal of Experimental Biology , 206: 3139– 3147. Google Scholar

4.

D. L. Altshuler , R. Dudley , S. M. Heredia and J. A. McGuire 2010. Allometry of hummingbird lifting performance. Journal of Experimental Biology , 213: 725–734. Google Scholar

5.

P. S. Baker 1979. The wing movements of flying locusts during steering behaviour. Journal of Comparative Physiology A , 131: 49–58. Google Scholar

6.

C. R. Betts and R. J. Wootton 1988. Wing shape and flight behavior in butterflies (Lepidoptera, Papilionoidea and Hesperioidea) - a preliminary analysis. Journal of Experimental Biology , 138: 271–288. Google Scholar

7.

K. S. Bostwick and R. O. Prum 2003. Highspeed video analysis of wing-snapping in two manakin clades (Pipridae: Aves). Journal of Experimental Biology , 206: 3693–3706. Google Scholar

8.

D. Brown and A. J. Cox 2009. Innovative uses of video analysis. The Physics Teacher , 47: 145–150. Google Scholar

9.

M. W. Bundle , K. S. Hansen and K. P. Dial 2007. Does the metabolic rate-flight speed relationship vary among geometrically similar birds of different mass? Journal of Experimental Biology , 210: 1075–1083. Google Scholar

10.

P. Chai , A. C. Chang and R. Dudley 1998. Flight thermogenesis and energy conservation in hovering hummingbirds. Journal of Experimental Biology , 201: 963–968. Google Scholar

11.

J. P. Dong , F. C. Governali , E. I. Larson , S. A. Snow and E. V. A. Unger 2010. Wingbeat frequency is related to foraging strategies of hummingbirds at Monteverde, Costa Rica. Dartmouth Studies in Tropical Biology , 19: 26–29. Google Scholar

12.

C. B. Fenster , W. S. Armbruster and M. R. Dudash 2009. Specialization of flowers: is floral orientation an overlooked first step. New Phytologist , 183: 502–506. Google Scholar

13.

P. Feinsinger and S. B. Chaplin 1975. On the relationship between wing disc loading and foraging strategy in hummingbirds. American Naturalist , 109: 217–224. Google Scholar

14.

M. J. Fernández , R. Dudley and F. Bozinovic 2011. Comparative energetics of the giant hummingbird (Patagona gigas). Physiological and Biochemical Zoology , 84: 333–340. Google Scholar

15.

C. H. Greenewalt 1960. Hummingbirds. Doubleday. New York. Google Scholar

16.

C. H. Greenewalt 1962. Dimensional relationships for flying animals. Smithsonian Miscellaneous Collections , 144: 1–46. Google Scholar

17.

C. H. Greenewalt 1975. The flight of birds. American Philosophical Society , 65: 1–67. Google Scholar

18.

A. Hedenström 2002. Aerodynamics, evolution and ecology of avian flight. Trends in Ecology and Evolution , 17: 415–422. Google Scholar

19.

T. L. Hedrick , B. Cheng and X. Deng 2009. Wingbeat time and the scaling of passive rotational damping in flapping flight. Science , 324: 252–255. Google Scholar

20.

C. J. Pennycuick 1990. Predicting wingbeat frequency and wavelengt of birds. Journal of Experimental Biology , 150: 171–185. Google Scholar

21.

C. J. Pennycuick 1998. Towards an optimal strategy for bird flight research. Journal of Avian Biology , 29: 449–457. Google Scholar

22.

J. C. Pinheiro and D. M. Bates 2000. Mixed-effects models in S and S-PLUS. Springer. New York. Google Scholar

23.

J. C. Pinheiro , D. Bates , S. DebRoy , D. Sarkar and the R Development Core Team. 2013. nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1–110. Google Scholar

24.

R Development Core Team. 2012. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing. Vienna. Google Scholar

25.

M. Rósen , G. R. Spedding and A. Hedenström 2004. The relationship between wingbeat kinematics and vortex wake of a thrush nightingale. Journal of Experimental Biology , 207: 4255– 4268. Google Scholar

26.

R. L. Sakamoto , S. I. Morinaga , M. Ito and N. Kawakubo 2012. Fine-scale flower-visiting behavior revealed by using a highspeed camera. Behavioral Ecology and Sociobiology, 66: 669–674. Google Scholar

27.

N. Sapir and R. Dudley 2013. Implications of floral orientation for flight kinematics and metabolic expenditure of hover-feeding hummingbirds. Functional Ecology , 27: 227–235. Google Scholar

28.

K. L. Schuchmann 1999. Family Trochilidae (Hummingbirds). In, J. del Hoyo , A. Elliot and J. Sargatal (Eds.): Handbook of the Birds of the World, Vol. 5, pp. 468–680. Lynx Edicions. Barcelona. Google Scholar

29.

B. W. Tobalske , D. R. Warrick , C. J. Clark , D. R. Powers , T. L. Hedrick , G. A. Hyder , and A. A. Biewener 2007. Three-dimensional kinematics of hummingbird flight. Journal of Experimental Biology , 210: 2368–2382. Google Scholar

30.

M. Vollmer and K.-P. Möllmann 2011a. High speed - slow motion. Technik digitaler Hochgeschwindigkeitskameras. Physik in unserer Zeit , 42: 144–148. Google Scholar

31.

M. Vollmer and K. P. Möllmann 2011b. High speed and slow motion: the technology of modern high speed cameras. Physics Education , 46: 191. Google Scholar

32.

D. R. Warrick , B. W. Tobalske and D. R. Powers 2005. Aerodynamics of the hovering hummingbird. Nature , 435: 1094–1097. Google Scholar

33.

T. Weis-Fogh 1972. Energetics of hovering flight in hummingbirds and Drosophila. Journal of Experimental Biology , 56: 79–104. Google Scholar

34.

D. J. Wells 1993. Muscle performance in hovering hummingbirds. Journal of Experimental Biology , 178: 39–57. Google Scholar

35.

L. L. Wolf , F. R. Hainsworth and F. B. Gill 1975. Foraging efficiencies and time budgets in nectar-feeding birds. Ecology , 56: 117–128. Google Scholar
Ronny Steen "The use of a Low Cost High Speed Camera to Monitor Wingbeat Frequency in Hummingbirds (Trochilidae)," Ardeola 61(1), 111-120, (1 June 2014). https://doi.org/10.13157/arla.61.1.2014.111
Received: 9 October 2012; Accepted: 11 November 2013; Published: 1 June 2014
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