1 - froghopper insects leap to new heights

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brief communications Froghopper insects leap to new heights An innovative leaping action propels these bugs to the top of the insect athletic league. T here are two basic body designs for jumping that enable many animals to escape from predators, to increase their speed of locomotion or to launch into flight 1 . Animals with long legs (bush babies, kangaroos and frogs, for example) have a levering power that enables them to use less force to jump the same distance as short- legged animals of comparable mass, where- as those with short legs must rely on the release of stored energy in a rapid catapult action. Insects exploit both designs: bush crickets use the leverage provided by long legs 2 , fleas use stored energy to power their short legs 3 , and grasshoppers 4 combine fea- tures of each. Fleas are considered to be the champion jumpers, but here I show that froghoppers (spittle bugs) are in fact the real champions and that they achieve their supremacy by using a novel catapult mech- anism for jumping. Froghoppers, Philaenus spumarius (Lin- naeus), have a mass (m) of 12.350.7 mg (mean5s.e.m., n411) and are 6.150.2 mm long. In preparing to jump (in ten jumps by four adults), the front and middle legs raise the front of the body and the thrust is then provided by the simultaneous extension of both hind legs in less than 1 ms (Fig. 1). These lift the body at a take-off angle of 5852.6° and the mean take-off velocity (v) is 2.850.1 m s 11 (or, for the best jumps, 4 m s 11 ). The body is thus accelerated at 2,800–4,000 m s 12 , which is equivalent in the best jumps to 408g. The energy (0.5mv 2 ) required for an average jump is 49 microjoules, with the best jumps needing 100 mJ. This corresponds to an average power output of 100 mW if the acceleration (f ) is conservatively applied in 1 ms. About 11% (n45) of the body weight is attributable to the pair of trochanteral depressor muscles in the body that generate the rapid movements of the hind legs, giving a power output of 36 W g 11 and a maximum for the best jumps of 74 W g 11 . This is much greater than the power output from the jumping muscles in a locust and about the same as that in a flea, but less than that in a click beetle 5,6 . The force ( mf ) exerted in an average jump is 34 mN. For the highest jumps, the force increases to 49 mN and, because the cross-sectional area of this muscle is 1.2 mm 2 , it equates to 41 kN m 12 of muscle 7 . The average height achieved is 428526.1 mm, with the highest jumps reaching 700 mm. The forces powering the jump could not be produced by direct muscle contractions over the short distances and brief time available, indicating that muscular force –2.0 ms –1.0 –0.5 0 Take-off +0.5 ms Figure 1 Sequential images of a spontaneous jump by Philaenus spumarius captured at 2,000 frames per second and an exposure time of 0.25 ms with a high-speed camera (Redlake Imaging, San Diego) and associated computer. Take-off at time 0 ms occurs within two frames, or less than 1 ms, of the first movement of the hind legs between frames 11.0 and 10.5 ms. The crosshairs mark the position of the front of the head and the tracings on the right show the movements of the body and legs. Scale bar (bottom panel), 2 mm. must be generated by a slow contraction in advance of the movement, storing energy which is then released rapidly.The hind legs are roughly half the length of the body and 1.5 times that of the other legs. Before take- off, they are rotated forwards at the coxo- trochanteral joints so that the femora are tucked between the thorax and the middle legs. The tibiae are also flexed about the femora so that they are parallel with the long axis of the body. A ridge on the dorsal femur rides over and engages in front of a lateral and ventral protrusion of a coxa, forming a novel locking mechanism and restraining a hind leg so that it is poised to extend (see supplementary information). A hind leg does not move in this cocked posi- tion, so the energy generated by an almost isometric contraction of the trochanteral depressor muscle could be stored in the strengthened thoracic cuticle, which may contain resilin 8,9 , or in its massive and elaborate tendon. For a hind leg to extend, the femur must disengage with the coxa, probably because the force generated by the trochanteral depressor muscle exceeds the restraining ability of the lock. The femoral ridge then suddenly snaps past the coxal protrusion, allowing the stored force to power a rapid depression of the coxo-trochanteral joint at angular velocities of 75,500 deg s 11 and a concomitant full extension of the femoro- tibial joint. The time taken from the first visible leg movements to the insect becom- ing airborne is no more than 1 ms. For their size, froghoppers outperform other insects: they exceed the height jumped by the flea relative to body length and accelerate their much heavier bodies four times faster. The force exerted is 414 times their body weight and is therefore much higher than in other jumpers such as fleas (135 times) 3 , locusts (8 times) 4 and humans (2–3 times) 10 . Froghoppers have relatively short and light hind legs that are powered by huge jumping muscles and a novel locking mechanism that allows force generated before the jump to be released rapidly. During horizontal walking, this specialization is such that the hind legs are merely dragged along while they are poised for jumping. Malcolm Burrows Department of Zoology, Downing Street, University of Cambridge, Cambridge CB2 3EJ, UK e-mail: [email protected] 1. Alexander, R. M. Phil. Trans. R. Soc. Lond. B 347, 235–248 (1995). 2. Burrows, M. & Morris, O. J. Exp. Biol. 206, 1035–1049 (2003). 3. Bennet-Clark, H. C. & Lucey, E. C. A. J. Exp. Biol. 47, 59–76 (1967). 4. Bennet-Clark, H. C. J. Exp. Biol. 63, 53–83 (1975). 5. Evans, M. E. G. J. Zool. Lond. 169, 181–194 (1973). 6. Bennet-Clark, H. C. in Perspectives in Experimental Biology (ed. Spencer Davies, P.) 467–479 (Pergamon, Oxford, 1976). 7. Weis-Fogh, T. J. Exp. Biol. 33, 668–684 (1956). 8. Sander, K. Zool. Jb. Jena (Anat.) 75, 383–388 (1957). 9. Rothschild, M., Schlein, J., Parker, K., Neville, C. & Sternberg, S. Phil. Trans. R. Soc. Lond. B 271, 499–515 (1975). 10. Dowling, J. J. & Vamos, L. J. Appl. Biomechan. 9, 95–110 (1993). Supplementary information accompanies this communication on Nature’s website. Competing financial interests: declared none. NATURE | VOL 424 | 31 JULY 2003 | www.nature.com/nature 509 © 2003 Nature Publishing Group

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brief communications

Froghopper insects leap to new heightsAn innovative leaping action propels these bugs to the top of the insect athletic league.

There are two basic body designs forjumping that enable many animals toescape from predators, to increase their

speed of locomotion or to launch intoflight1. Animals with long legs (bush babies,kangaroos and frogs, for example) have alevering power that enables them to use lessforce to jump the same distance as short-legged animals of comparable mass, where-as those with short legs must rely on therelease of stored energy in a rapid catapultaction. Insects exploit both designs: bushcrickets use the leverage provided by longlegs2, fleas use stored energy to power theirshort legs3, and grasshoppers4 combine fea-tures of each. Fleas are considered to be thechampion jumpers, but here I show thatfroghoppers (spittle bugs) are in fact thereal champions and that they achieve theirsupremacy by using a novel catapult mech-anism for jumping.

Froghoppers, Philaenus spumarius (Lin-naeus), have a mass (m) of 12.350.7 mg(mean5s.e.m.,n411) and are 6.150.2 mmlong. In preparing to jump (in ten jumps byfour adults), the front and middle legs raisethe front of the body and the thrust is thenprovided by the simultaneous extension ofboth hind legs in less than 1 ms (Fig. 1).These lift the body at a take-off angle of5852.6° and the mean take-off velocity (v) is 2.850.1 m s11 (or, for the best jumps,4 m s11). The body is thus accelerated at2,800–4,000 m s12,which is equivalent in thebest jumps to 408g.

The energy (0.5mv 2) required for anaverage jump is 49 microjoules, with the bestjumps needing 100 mJ. This corresponds toan average power output of 100 mW if theacceleration (f ) is conservatively applied in 1 ms. About 11% (n45) of the body weightis attributable to the pair of trochanteraldepressor muscles in the body that generatethe rapid movements of the hind legs, givinga power output of 36 W g11 and a maximumfor the best jumps of 74 W g11.

This is much greater than the power output from the jumping muscles in a locustand about the same as that in a flea, but lessthan that in a click beetle5,6. The force (mf )exerted in an average jump is 34 mN. For the highest jumps, the force increases to 49 mNand, because the cross-sectional area of this muscle is 1.2 mm2, it equates to 41 kN m12 ofmuscle7. The average height achieved is428526.1 mm, with the highest jumpsreaching 700 mm.

The forces powering the jump could notbe produced by direct muscle contractionsover the short distances and brief timeavailable, indicating that muscular force

–2.0 ms

–1.0

–0.5

0 Take-off

+0.5 ms

Figure 1 Sequential images of a spontaneous jump by Philaenus

spumarius captured at 2,000 frames per second and an exposure

time of 0.25 ms with a high-speed camera (Redlake Imaging, San

Diego) and associated computer. Take-off at time 0 ms occurs

within two frames, or less than 1 ms, of the first movement of the

hind legs between frames 11.0 and 10.5 ms. The crosshairs

mark the position of the front of the head and the tracings on

the right show the movements of the body and legs. Scale bar

(bottom panel), 2 mm.

must be generated by a slow contraction inadvance of the movement, storing energywhich is then released rapidly. The hind legsare roughly half the length of the body and1.5 times that of the other legs. Before take-off, they are rotated forwards at the coxo-trochanteral joints so that the femora aretucked between the thorax and the middlelegs. The tibiae are also flexed about thefemora so that they are parallel with thelong axis of the body. A ridge on the dorsalfemur rides over and engages in front of a

lateral and ventral protrusion of a coxa,forming a novel locking mechanism andrestraining a hind leg so that it is poised toextend (see supplementary information). Ahind leg does not move in this cocked posi-tion, so the energy generated by an almostisometric contraction of the trochanteraldepressor muscle could be stored in thestrengthened thoracic cuticle, which maycontain resilin8,9, or in its massive and elaborate tendon.

For a hind leg to extend, the femur mustdisengage with the coxa, probably becausethe force generated by the trochanteraldepressor muscle exceeds the restrainingability of the lock. The femoral ridge thensuddenly snaps past the coxal protrusion,allowing the stored force to power a rapiddepression of the coxo-trochanteral joint atangular velocities of 75,500 deg s11 and aconcomitant full extension of the femoro-tibial joint. The time taken from the first visible leg movements to the insect becom-ing airborne is no more than 1 ms.

For their size, froghoppers outperformother insects: they exceed the heightjumped by the flea relative to body lengthand accelerate their much heavier bodiesfour times faster. The force exerted is 414times their body weight and is thereforemuch higher than in other jumpers such asfleas (135 times)3, locusts (8 times)4 andhumans (2–3 times)10. Froghoppers haverelatively short and light hind legs that arepowered by huge jumping muscles and anovel locking mechanism that allows forcegenerated before the jump to be releasedrapidly. During horizontal walking, thisspecialization is such that the hind legs aremerely dragged along while they are poisedfor jumping.Malcolm BurrowsDepartment of Zoology, Downing Street, Universityof Cambridge, Cambridge CB2 3EJ, UKe-mail: [email protected]

1. Alexander, R. M. Phil. Trans. R. Soc. Lond. B 347,

235–248 (1995).

2. Burrows, M. & Morris, O. J. Exp. Biol. 206,

1035–1049 (2003).

3. Bennet-Clark, H. C. & Lucey, E. C. A. J. Exp. Biol. 47,

59–76 (1967).

4. Bennet-Clark, H. C. J. Exp. Biol. 63, 53–83 (1975).

5. Evans, M. E. G. J. Zool. Lond. 169, 181–194 (1973).

6. Bennet-Clark, H. C. in Perspectives in Experimental Biology

(ed. Spencer Davies, P.) 467–479 (Pergamon, Oxford, 1976).

7. Weis-Fogh, T. J. Exp. Biol. 33, 668–684 (1956).

8. Sander, K. Zool. Jb. Jena (Anat.) 75, 383–388 (1957).

9. Rothschild, M., Schlein, J., Parker, K., Neville, C. & Sternberg, S.

Phil. Trans. R. Soc. Lond. B 271, 499–515 (1975).

10.Dowling, J. J. & Vamos, L. J. Appl. Biomechan. 9,

95–110 (1993).

Supplementary information accompanies this communication on

Nature’s website.

Competing financial interests: declared none.

NATURE | VOL 424 | 31 JULY 2003 | www.nature.com/nature 509© 2003 Nature Publishing Group

Anatomy of the jumping structures in the froghopper Aphophora. This species is both heavier and longer than Philaenus, but the morphology of its jumping structures is the same. A. Drawing of a ventral view. The hind leg on the left (light green) is in the cocked position assumed before a jump, so that its femoral ridge is engaged with the coxal protrusion. The hind leg on the right (light green) is fully extended as occurs at take-off. The middle leg on the right is removed to reveal the bi-partite, hind trochanteral depressor muscle (yellow) and its tendon (blue). This tendon, 1mm long, 250_m wide and in places 175_m thick, inserts on the strengthened medial edge of the coxa some 500_m from the joint pivot so that the depressor muscle has a lever ratio 16 times that of the much smaller trochanteral levator muscle. The cuticular insertion of the lateral, pinnate part of this muscle is heavily stippled; the bulk of the medial part of the muscle projects dorsally out of the plane of the drawing. The arrows indicate the major joint movements during a jump. The horizontal gray bars at the tibio-tarsal joints show the same fixed point of a hind leg on the ground. B. Photograph from the dorsal side of the femoral ridge just before it would lock in front of the coxal protrusion.