SamplingRhyparida nitidaClark (Coleoptera: Chrysomelidae) and symptoms of their damage on sugarcane

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Abstract
Sampling statistics were determined for larvae, pupae and adults of the chrysomelidRhyparida nitidaassociated with sugarcane in Australia and for symptoms of their damage. Iwao’s patchiness regression was inappropriate for modelling the mean–variance relationships of the insect counts. Taylor’s power law was used to model these data and relationships were developed for counts of small, medium and large larvae, all larvae combined, pupae and adults. The mean–variance relationships of counts of live shoots and shoots killed by larvae ofR. nitidawere modelled using Iwao’s patchiness regression; Taylor’s power law was not appropriate to either data set. Relationships to determine sample sizes for fixed levels of precision and fixed‐precision‐level stop lines for sequential sampling of the different stages and live and dead shoots were also developed. Neither the ln(x + 1) transformation nor the Healy and Taylor transformation consistently standardised the mean–variance relationships of insect counts and the appropriate transformation should be selected on a case‐by‐case basis. Counts of both live and dead shoots were adequately transformed by the Iwao and Kuno transformation.