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RESEARCH ON THE DIVERSITY OF MOTHS AND BUTTERFLIES IN MALAYSIA AND THEIR USE AS<br />

BIODIVERSITY INDICATORS<br />

BIODIVERSITY INDICES<br />

Species abundance models are commonly used to indicate the level of biodiversity in a habitat,<br />

with the log normal and the log series being the main models. They are based on an assumption<br />

that for a very large sample that closely reflects the population structure, it will result in a bellshaped<br />

log normal curve. But a typical smaller annual sample is one-tailed and usually fits<br />

equally well to the log series and the log normal, with the rarer species having been missed.<br />

Species abundance curves usually have the log abundance plotted against species rank. A<br />

shallower curve means higher diversity while a steeper curve means lower diversity.<br />

Moth samples are usually annual samples, which fit into the log series. Based on the log<br />

series, a diversity index known as Williams Alpha is derived (Fisher et al. 1943). This index<br />

is independent of sample size, which allows cross-comparison of most samples. The log series<br />

gives a diversity value less subject to the vagaries of the non-resident species, and is more<br />

dependent on the mid-range species resident at the site, and hence more representative (Taylor<br />

1978). For these reasons, most moth samples are compared using Williams Alpha. A higher<br />

value means higher diversity.<br />

For butterfly samples, which are normally smaller, non-parametric indices with no assumption<br />

on the underlying species abundance distribution are commonly used. These include the popular<br />

Shannon index, as well as Simpson’s index (Magurran 1988). They are diversity indices based<br />

on the proportional abundances of species.<br />

SIMILARITY COEFFICIENTS<br />

Biodiversity indices alone may tell us the levels of diversity but they don’t show the composition<br />

of the underlying species assemblages. The ‘coefficient of association’ is a R-mode measure<br />

of percentage dissimilarity showing the pattern in species distributions and, hence, species<br />

associations, among the sampling sites. Based on the percentage dissimilarity, numerical singlelink<br />

dendrograms as well as linkage diagrams can be drawn in which species indicative of a<br />

habitat are clustered together. This technique has been applied in biodiversity studies in<br />

Malaysia, for example, by Chey (1994).<br />

Similarity coefficients can also be used in the R-mode to identify associations of species of<br />

moths that show correlations with particular vegetation zones and altitude zones (e.g., Holloway<br />

1989b; Chey et al. 1997; Intachat et al. 2005). These associations offer particularly good<br />

suites of indicator species.<br />

Preston’s coefficient of faunal resemblance (1962), a simpler Q-mode measure of similarity<br />

based on presence or absence of species, is commonly used. The number of species present in<br />

each of any two sites and the number of shared species between them are used to calculate the<br />

Preston’s coefficient. Based on the coefficient values, single-link dendrograms can be drawn<br />

clustering similar sites together.<br />

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