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Control of frequency in cricket song - The Journal of Experimental ...

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Fig. 6. High-resolution waveforms for<br />

an <strong>in</strong>dividual Anurogryllus arboreus<br />

call<strong>in</strong>g before (A) and dur<strong>in</strong>g (B) the<br />

reduction <strong>of</strong> the subalar volume by<br />

50–90 %. A and B were recorded with<strong>in</strong><br />

3 s <strong>of</strong> each other and are for a different<br />

<strong>in</strong>dividual from that <strong>in</strong> Fig. 5. <strong>The</strong><br />

<strong>cricket</strong> cont<strong>in</strong>ued to call from the same<br />

position relative to the microphone<br />

throughout this procedure and did not<br />

adjust its tegm<strong>in</strong>al position <strong>in</strong> response<br />

to the volume reduction. Note that the<br />

peak and mean pulse amplitudes are the<br />

same <strong>in</strong> A and B. M<strong>in</strong>or differences <strong>in</strong><br />

pulse shape occur over time irrespective<br />

<strong>of</strong> whether or not the subalar volume is<br />

altered. Identical results were obta<strong>in</strong>ed<br />

<strong>in</strong> experiments on five other A.<br />

arboreus. <strong>The</strong> record<strong>in</strong>gs were made at<br />

30 °C. fC, carrier <strong>frequency</strong>; fWS, w<strong>in</strong>g<br />

stroke rate.<br />

based on measurements <strong>of</strong> 10 pulses for each <strong>in</strong>dividual; the<br />

CV for each <strong>in</strong>dividual was approximately 25 %. This value <strong>of</strong><br />

Q is similar to that reported by Bennet-Clark (1971), but lower<br />

than that reported by Nocke (1971) for isolated Gryllus<br />

campestris tegm<strong>in</strong>a (Q≈28).<br />

Discussion<br />

Stephen and Hartley (1995b) regarded the 5–10 % change <strong>in</strong><br />

fC that occurred when <strong>cricket</strong>s called <strong>in</strong> different atmospheres<br />

as central evidence for their model <strong>of</strong> fC control. <strong>The</strong>ir model<br />

predicts that, for <strong>cricket</strong>s with a subalar space, such as A.<br />

arboreus, call<strong>in</strong>g <strong>in</strong> heliox-air would cause an <strong>in</strong>crease <strong>in</strong> the<br />

fPFI and therefore an <strong>in</strong>crease <strong>in</strong> fC. Presumably, the <strong>cricket</strong><br />

would attempt to call <strong>in</strong>itially at its normal fC and would then<br />

adjust its call us<strong>in</strong>g auditory feedback. <strong>The</strong>ir model also<br />

predicts that the subalar volume would need to decrease so as<br />

to retune the subalar–tegm<strong>in</strong>al resonator to match and amplify<br />

the new fPFI. Fail<strong>in</strong>g this adjustment, the amplitude <strong>of</strong> the new<br />

higher-<strong>frequency</strong> call would decrease.<br />

We found fC shifts <strong>in</strong> <strong>cricket</strong>s call<strong>in</strong>g <strong>in</strong> heliox-air (7–14 %<br />

<strong>in</strong>creases; Table 2) similar to those reported by Stephen and<br />

Hartley (1995b). However, these occurred regardless <strong>of</strong><br />

whether the species possessed a subalar space and were<br />

accompanied neither by decreases <strong>in</strong> SPL nor by observable<br />

alterations <strong>in</strong> tegm<strong>in</strong>al position. <strong>The</strong>se results cast doubt on a<br />

causal role for the subalar space. But could the fC shifts have<br />

been due to auditory distortion as Stephen and Hartley (1995b)<br />

suggest? We did not observe a period <strong>of</strong> <strong>frequency</strong> adjustment<br />

when a <strong>cricket</strong> first began to call <strong>in</strong> a new atmosphere. <strong>The</strong> fC<br />

<strong>of</strong> the <strong>in</strong>itial calls <strong>in</strong> the new atmosphere was already shifted<br />

to the same extent as subsequent calls. However, we did record<br />

shifts <strong>in</strong> the free resonance <strong>frequency</strong> <strong>of</strong> isolated tegm<strong>in</strong>a from<br />

Uncalibrated sound pressure level (μPa)<br />

5<br />

0<br />

-5<br />

5<br />

0<br />

-5<br />

Normal subalar volume, fC = 5.67 kHz, fWS = 77 s -1<br />

<strong>Control</strong> <strong>of</strong> <strong>frequency</strong> <strong>in</strong> <strong>cricket</strong> <strong>song</strong><br />

Reduced subalar volume, fC = 5.66 kHz, fWS = 77 s -1<br />

0 10 20 30 40<br />

Time (ms)<br />

593<br />

G. rubens that were similar to the fC shifts <strong>of</strong> <strong>in</strong>tact <strong>cricket</strong>s,<br />

even though auditory feedback was impossible. <strong>The</strong> auditory<br />

feedback element <strong>of</strong> the model is thus disproved.<br />

Our results also show conclusively that the subalar space and<br />

tegm<strong>in</strong>a do not form a Helmholtz-like resonator. Direct<br />

experimental manipulation <strong>of</strong> the subalar volume did not affect<br />

the call amplitude nor did it result <strong>in</strong> changes <strong>in</strong> the fC or <strong>in</strong><br />

the position <strong>of</strong> the tegm<strong>in</strong>a. Moreover, there is no reason to<br />

believe, a priori, that the subalar space could function as the<br />

compliant element <strong>of</strong> a Helmholtz-like resonator. Fig. 1 shows<br />

that the rear <strong>of</strong> the subalar volume, its largest aperture, is fully<br />

open to the environment; the lateral regions are also open.<br />

<strong>The</strong>se gap<strong>in</strong>g open<strong>in</strong>gs present virtually no impedance to bulk<br />

airflow. Any tendency to compress air between the w<strong>in</strong>gs and<br />

the body is negated by flow out through the sides and the rear<br />

aperture. Instead <strong>of</strong> resembl<strong>in</strong>g a Helmholtz resonator, the<br />

tegm<strong>in</strong>a and subalar space are analogous to a flask with its<br />

bottom broken <strong>of</strong>f. Such flasks do not resonate. We conclude<br />

that a subalar–tegm<strong>in</strong>al resonator also does not exist <strong>in</strong> <strong>cricket</strong>s<br />

that stridulate and produce <strong>song</strong>s similar to those <strong>of</strong><br />

Anurogryllus arboreus and Gryllus bimaculatus.<br />

What then caused the fC shifts <strong>in</strong> heliox-air? Shifts <strong>in</strong> the<br />

free resonance <strong>frequency</strong> <strong>of</strong> excised tegm<strong>in</strong>a were very similar<br />

to the fC shifts observed <strong>in</strong> liv<strong>in</strong>g <strong>cricket</strong>s, suggest<strong>in</strong>g that the<br />

structures affected by the change <strong>in</strong> gas composition were the<br />

tegm<strong>in</strong>al harps. Accord<strong>in</strong>g to equation 1, f0 will <strong>in</strong>crease if<br />

either the system’s compliance C and/or its <strong>in</strong>ertance L<br />

decrease. It is possible that compliance would decrease if the<br />

tegm<strong>in</strong>a dried when they were exposed to dry gas, such as<br />

heliox from a compressed air cyl<strong>in</strong>der. However,<br />

humidification <strong>of</strong> both air and heliox-air had no effect on the<br />

fC or free resonance shifts, thereby rul<strong>in</strong>g out compliance<br />

changes as the cause.

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