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Diversidad y control biológico de insectos - CyberTesis UACh ...

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Diversity.<br />

To <strong>de</strong>termine whether treatment affected diversity, we calculated Shannon in<strong>de</strong>x as<br />

= − H '<br />

S<br />

∑<br />

i=<br />

1<br />

p p ln<br />

i i<br />

where pi = proportion of individuals represented by each taxon; i = i-th species and S =<br />

observed number of species. As Shannon in<strong>de</strong>x is sensitive to changes in rare species, we<br />

used it in conjunction to other community metrics.<br />

Species richness and rarefaction statistics.<br />

Large differences on abundance were observed between treatments. As treatments with<br />

more individuals may have artificially inflated species richness, we employed rarefaction<br />

statistics to compare species richness between sites while <strong>control</strong>ling for abundance<br />

differences (Hurlbert 1971). Because of differences at the taxonomic resolution of groups,<br />

we will use species richness and taxa richness interchangeably.<br />

Species richness was expressed as the number of expected species (E(S)) within a sub-<br />

sample of n specimens. The size of the sub-sample (n) used for comparing treatments was<br />

equivalent to the least abundant treatment at every sampling date.<br />

Evenness.<br />

We applied Hurlbert’s probability of interspecific encounters (PIE; Hurlbert, 1971) as an<br />

evenness measure, which establishes the probability of encounters between two individuals<br />

of different species, assuming that every individual in the collection can encounter all the<br />

other individuals. This in<strong>de</strong>x has a low sensitivity for rare species and gives more<br />

importance to evenness of distribution of individuals between species (Barbieri et al.,<br />

1999), thus it provi<strong>de</strong>s information complementary to the Shannon in<strong>de</strong>x. In addition, PIE<br />

is unbiased by sample size and number of species in a sample, unlike most other evenness<br />

in<strong>de</strong>xes. We used the species-richness module of ECOSIM (1000 iterations) to test<br />

differences in arthropod evenness (Gotelli and Colwell, 2001) as<br />

PIE<br />

⎡ N ⎤⎡<br />

⎢ ⎥⎢1<br />

−<br />

⎣ N + 1⎦⎢⎣<br />

= ∑ i<br />

⎛<br />

⎜<br />

⎝<br />

Ni<br />

N<br />

⎞<br />

⎟<br />

⎠<br />

2<br />

⎤<br />

⎥<br />

⎥⎦<br />

109

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