2010
DOI: 10.1673/031.010.9601
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Formulae for Insect Wingbeat Frequency

Abstract: A formula is developed connecting the wingbeat frequency of insects with their masses and wing areas. It is derived first theoretically, using dimensional analysis, and then it is compared with published measurements. The formula discovered involves two parameters which dimensional analysis alone cannot determine. One of these is evaluated using one among many proposed semi-empirical relationships (the only one that stands scrutiny); the other by fitting a published dataset. It is found that the resulting equa… Show more

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Cited by 34 publications
(31 citation statements)
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“…Nevertheless, it is clear that in our general framework, it is possible that users may wish to use features that clearly violate this assumption. For example, if the sensor was augmented to obtain insect mass (a generally useful feature), it is clear from basic principles of allometric scaling that the frequency spectrum feature would not be independent (Deakin 2010). The good news is that as shown in Figure 12, the Bayesian network can be generalized to encode the dependencies among the features.…”
Section: Revisiting the Independent Assumptionmentioning
confidence: 99%
“…Nevertheless, it is clear that in our general framework, it is possible that users may wish to use features that clearly violate this assumption. For example, if the sensor was augmented to obtain insect mass (a generally useful feature), it is clear from basic principles of allometric scaling that the frequency spectrum feature would not be independent (Deakin 2010). The good news is that as shown in Figure 12, the Bayesian network can be generalized to encode the dependencies among the features.…”
Section: Revisiting the Independent Assumptionmentioning
confidence: 99%
“…For example, Koehler et al [15] summarized the results obtained to estimate wingbeat frequency for locust, hoverfly, fruitfly, dronefly, and dragonfly; Casey et al [3] did the same for several species of euglossine bees, including Eulaema, Eufriesea, Euglossa, and Exaerete. With these measurements, some researchers, such as Deakin [5] and Sudo et al [28], have developed empirical formulas connecting wingbeat frequency of insects with their masses and wing areas.…”
Section: Related Workmentioning
confidence: 99%
“…In addition, an increase of 5.2% can also be observed in the average wing beat frequency, from 347 Hz for non‐gravid females to 365 Hz for gravid females due to the insect compensating for the increase of its weight . Using the formulae provided by M. Deakin relating the wing beat frequency and the mass m of the insect, the wing beat frequency increases with m 0.3 leading to an increase of mass between gravid and non‐gravid of approximately 0.91 mg. A similar estimation of the change in mass, using the depolarization ratio to infer the increase in optical path‐length in the scattering medium and therefore the increase in volume and mass, leads to an increase in mass of 0.47 mg. The Culex female lays between 100 and 300 eggs, each fully grown egg weighting between 10 and 15 μg .…”
Section: Resultsmentioning
confidence: 99%