R: Functions for performing and displaying a spatial...

mso {vegan} | R Documentation

## Functions for performing and displaying a spatial partitioning of cca or rda results

### Description

The function `mso` adds an attribute `vario` to an object of class `"cca"` that describes the spatial partitioning of the `cca` object and performs an optional permutation test for the spatial independence of residuals. The function `plot.mso` creates a diagnostic plot of the spatial partitioning of the `"cca"` object.

### Usage

    mso(object.cca, object.xy, grain = 1, round.up = FALSE, permutations = 0)
    msoplot(x, alpha = 0.05, explained = FALSE, ylim = NULL, legend = "topleft", ...)

### Arguments

`object.cca` | An object of class cca, created by the `cca` or `rda` function.
`object.xy` | A vector, matrix or data frame with the spatial coordinates of the data represented by `object.cca`. The number of rows must match the number of observations (as given by `nobs`) in `cca.object`. Alternatively, interpoint distances can be supplied as a `dist` object.
`grain` | Interval size for distance classes.
`round.up` | Determines the choice of breaks. If false, distances are rounded to the nearest multiple of grain. If true, distances are rounded to the upper multiple of grain.
`permutations` | a list of control values for the permutations as returned by the function `how`, or the number of permutations required, or a permutation matrix where each row gives the permuted indices.
`x` | A result object of `mso`.
`alpha` | Significance level for the two-sided permutation test of the Mantel statistic for spatial independence of residual inertia and for the point-wise envelope of the variogram of the total variance. A Bonferroni-type correction can be achieved by dividing the overall significance value (e.g. 0.05) by the number of distance classes.
`explained` | If false, suppresses the plotting of the variogram of explained variance.
`ylim` | Limits for y-axis.
`legend` | The x and y co-ordinates to be used to position the legend. They can be specified by keyword or in any way which is accepted by `legend`.
`...` | Other arguments passed to functions.

### Details

The Mantel test is an adaptation of the function `mantel` of the vegan package to the parallel testing of several distance classes. It compares the mean inertia in each distance class to the pooled mean inertia of all other distance classes.

If there are explanatory variables (RDA, CCA, pRDA, pCCA) and a significance test for residual autocorrelation was performed when running the function `mso`, the function `plot.mso` will print an estimate of how much the autocorrelation (based on significant distance classes) causes the global error variance of the regression analysis to be underestimated

### Value

The function `mso` returns an amended `cca` or `rda` object with the additional attributes `grain`, `H`, `H.test` and `vario`.

`grain` | The grain attribute defines the interval size of the distance classes .
`H` | H is an object of class 'dist' and contains the geographic distances between observations.
`H.test` | H.test contains a set of dummy variables that describe which pairs of observations (rows = elements of `object$H`) fall in which distance class (columns).
`vario` | The vario attribute is a data frame that contains some or all of the following components for the rda case (cca case in brackets): `H` Distance class as multiples of grain. `Dist` Average distance of pairs of observations in distance class H. n Number of unique pairs of observations in distance class H. `All` Empirical (chi-square) variogram of total variance (inertia). `Sum` Sum of empirical (chi-square) variograms of explained and residual variance (inertia). `CA` Empirical (chi-square) variogram of residual variance (inertia). `CCA` Empirical (chi-square) variogram of explained variance (inertia). `pCCA` Empirical (chi-square) variogram of conditioned variance (inertia). `se` Standard error of the empirical (chi-square) variogram of total variance (inertia). `CA.signif` P-value of permutation test for spatial independence of residual variance (inertia).

### Note

The function is based on the code published in the Ecological Archives E085-006 (http://onlinelibrary.wiley.com/doi/10.1890/02-0738/full).

### Author(s)

The responsible author was Helene Wagner.

### References

Wagner, H.H. 2004. Direct multi-scale ordination with canonical correspondence analysis. Ecology 85: 342–351.

### See Also

Function `cca` and `rda`, `cca.object`.

### Examples

    ## Reconstruct worked example of Wagner (submitted):
    X <- matrix(c(1, 2, 3, 2, 1, 0), 3, 2)
    Y <- c(3, -1, -2)
    tmat <- c(1:3)
    ## Canonical correspondence analysis (cca):
    Example.cca <- cca(X, Y)
    Example.cca <- mso(Example.cca, tmat)
    msoplot(Example.cca)
    Example.cca$vario

    ## Correspondence analysis (ca):
    Example.ca <- mso(cca(X), tmat)
    msoplot(Example.ca)

    ## Unconstrained ordination with test for autocorrelation
    ## using oribatid mite data set as in Wagner (2004)
    data(mite)
    data(mite.env)
    data(mite.xy)

    mite.cca <- cca(log(mite + 1))
    mite.cca <- mso(mite.cca, mite.xy, grain =  1, permutations = 99)
    msoplot(mite.cca)
    mite.cca

    ## Constrained ordination with test for residual autocorrelation
    ## and scale-invariance of species-environment relationships
    mite.cca <- cca(log(mite + 1) ~ SubsDens + WatrCont + Substrate + Shrub + Topo, mite.env)
    mite.cca <- mso(mite.cca, mite.xy, permutations = 99)
    msoplot(mite.cca)
    mite.cca

[Package vegan version 2.4-3 Index]