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Chapter 1 - Núria BONADA

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Local scale: Distribution patterns in Trichoptera<br />

Both matrixes, caddis-max and caddis-mod, were compared using a Mantel test (Mantel,<br />

1967) with the PCORD program (McCune & Mefford, 1999). This statistic method test<br />

differences between two similarity or distance matrices with the same objects (samples) to<br />

determine if distances among objects in one matrix (e.g., caddis-max) are or are not linearly<br />

correlated with the ones in the second matrix (e.g., caddis-mod). This test is equivalent to a<br />

non-parametric and multivariate test useful when biological data with many zeros is used. The<br />

result is a Mantel’s standardized correlation coefficient (rM) tested by random permutations<br />

(999 runs).<br />

Spatial changes in caddisfly assemblages<br />

Two ordination techniques of multivariate data were applied to analyze distribution patterns of<br />

caddisflies. Firstly, an indirect analysis of Correspondence Analysis (CA) using biological data<br />

was performed. This ordination technique allows us to relate objects (samples) and descriptors<br />

(taxa) in a low-dimensional space. The measure used is the χ 2, appropriated for<br />

semiquantitative data. It has been considered to produce better results than Principal<br />

Coordinate Analysis (PCA) with biological data, because matrices usually have numerous null<br />

values and χ 2 distance exclude double-zeros (Legendre & Legendre, 1998). Eigenvalues results<br />

(an indication of the percentage of variability explained by each canonical axis) were kept and<br />

compared with the ones obtained using a partial Canonical Correspondence Analysis (pCCA)<br />

to understand the proportion of caddisfly distribution explained by measured environmental<br />

variables. Partial CCA analysis is a direct ordination method similar to partial Redundancy<br />

Analysis (pRDA) but using χ 2 rather than Euclidean distances. This method obtains samples<br />

ordination according to the environmental constrains provided by an environmental variables<br />

matrix, and extracting the influence of some covariates on the biological data. A pCCA analysis<br />

was performed in front of a simple CCA to extract the influence of seasonality in sampling<br />

samples, because it presented a significant effect after a MRPP test (Multi-response<br />

Permutation Procedures) comparing four sampled seasons (A=0.003, p-value=0.022).<br />

Seasonality was included as four dummy covariables (spring, summer, autumn and winter).<br />

Rare species were down weighted to avoid bias in the final results in CA and pCCA analysis.<br />

Environmental data matrix was built up using the variables measured in GUADALMED Project<br />

(Table 1). Physical and chemical parameters included are those measured in the field or<br />

obtained in the lab. Oxygen was removed from the analysis because the incomplete data set.<br />

Biological indicators of the composition and diversity of the macroinvertebrate community<br />

were also used, as IBMWP (Alba-Tercedor y Sánchez-Ortega, 1988; Alba-Tercedor, 1996; Alba-<br />

Tercedor & Pujante, 2000), and the IASPT (the ratio between IBMWP and number of taxa).<br />

267

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