The Mantel Test versus Pearson's Correlation Analysis: Assessment of the Differences for Biological and Environmental Studies

Dutilleul, Pierre; Stockwell, Jason D.; Frigon, Dominic; Legendre, Pierre

doi:10.2307/1400528

Cited by 128 publications

(108 citation statements)

References 16 publications

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“…The extent to which faunal provinces were correlated with clusters based on these three sets of potential explanatory variables was quantified using Mantel tests on group contrast matrices [39]. Mantel R 2 M is consistently lower than the more familiar Pearson's r 2 [40]. Specifically, a simulation study suggested that r 2 ¼ 0.25 was roughly equivalent to R 2 M ¼ 0:05, and that a large coefficient of determination (R 2 ffi 0:80) produced by trend surface analysis was equivalent to R 2 M ffi 0:25 [41].…”

Section: (C) Geological Habitat and Environmental Clustersmentioning

confidence: 99%

Faunal breaks and species composition of Indo-Pacific corals: the role of plate tectonics, environment and habitat distribution

et al. 2013

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Species richness gradients are ubiquitous in nature, but the mechanisms that generate and maintain these patterns at macroecological scales remain unresolved. We use a new approach that focuses on overlapping geographical ranges of species to reveal that Indo-Pacific corals are assembled within 11 distinct faunal provinces. Province limits are characterized by co-occurrence of multiple species range boundaries. Unexpectedly, these faunal breaks are poorly predicted by contemporary environmental conditions and the present-day distribution of habitat. Instead, faunal breaks show striking concordance with geological features (tectonic plates and mantle plume tracks). The depth range over which a species occurs, its larval development rate and genus age are important determinants of the likelihood that species will straddle faunal breaks. Our findings indicate that historical processes, habitat heterogeneity and species colonization ability account for more of the present-day biogeographical patterns of corals than explanations based on the contemporary distribution of reefs or environmental conditions.

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Section: (C) Geological Habitat and Environmental Clustersmentioning

confidence: 99%

Faunal breaks and species composition of Indo-Pacific corals: the role of plate tectonics, environment and habitat distribution

et al. 2013

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“…Mantel tests used a generalized regression to relate two matrices. Often one is a measure of spatial distance and the other a measure of temporal distance (Dutilleul et al 2000). This comparison of space and time is utilized in many restoration studies, which may explain why the citation rate for papers that use the Mantel test are disproportionate when compared to their total number.…”

Section: Discussionmentioning

confidence: 99%

“…Studies such as Fleishman et al 2003 andBowker et al 2006 may be the next advancement in restoration ecology. With its comparison of temporal and spacial distance measures, the Mantel test has the potential to be very useful in looking at how ecosystems change or recover over time (Dutilleul et al 2000). If appropriate for the individual study designs, the field would benefit from more widespread use of this test.…”

Section: Discussionmentioning

confidence: 99%

“…A wider diversity of statistical tests, where appropriate to study design might help to further develop the field by giving researchers more tools to look at restoration questions with. The popularity of ANOVAs will likely never be challenge, but other tests such as the Mantel test could prove useful to ecologists (Dutilleul et al 2000). Post Hoc tests should also be considered where appropriate (Conagin et al 2008).…”

Section: Discussionmentioning

confidence: 99%

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A systematic review of the use of statistics in studies of restoration ecology of arid areas

Noble

2014

Preprint

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Restoration ecology is the study of restoration or restoration practices in degraded areas. It is of particular importance in arid environments due to the heavy impact humans have had in these areas. Some studies of restoration may require different statistics due to the unique challenges faced when examining degraded areas. A systematic review was conducted to assess the use of statistics in the field. It was determined that the field and influence of restoration ecology had increased dramatically since its development. Statistics are widely used in the study of restoration of arid areas. Major tests are similar to those found in other ecological studies such as ANOVAs and linear regressions. There were a few less common tests used in some of the studies. These include tests such as the Mantel test which may be useful to restoration ecology and should be explored further. Finally it was determined that the description of how statistics were used in the study was particularly important. The description should be detailed to help other researchers understand the findings of the paper. This will help to advance the field and the restoration of arid environments.PeerJ PrePrints | http://dx.doi.org/10.7287/peerj.preprints.551v1 | CC-BY 4.0 Open Access | rec:

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“…Normalmente, el ecólogo parte de una hipótesis nula claramente establecida, por lo que la significación se estima como la probabilidad de una sola cola obtenida a partir de las permutaciones. Es habitual que aunque el valor de la correlación sea bajo, el índice sea significativo (Dutilleul et al, 2000).…”

Section: Análisis Multivariable: El Test Y El Correlograma De Mantelunclassified

Spatial surface-pattern analyses and boundary detection techniques applied in forest ecology

Camarero

Rozas

2006

For. syst.

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ResumenEn este trabajo se revisan los métodos de análisis univariable y multivariable de los patrones de superficies y de detección de fronteras más utilizados en ecología forestal. El patrón de superficies es un patrón espacial continuo definido por las posiciones de los puntos (árboles) en el espacio y una o varias variables asociadas a cada punto. Se ilustran métodos útiles para describir patrones espaciales e inferir los procesos que los generaron. Se muestra el fundamento estadístico y ejemplos aplicados de métodos de análisis univariables para variables binarias (conteo contiguo) y cuantitativas (correlogramas de Moran y Geary, semivariogramas, dimensión fractal). Se detalla el cálculo e interpretación de métodos multivariables para la descripción de patrones de superficies (correlograma y test de Mantel) y su relación con los métodos de ordenación. Finalmente, se muestran ejemplos de métodos para la detección de fronteras. La mayor parte de los patrones reales analizados provienen de bosques de Pinus uncinata del límite altitudinal superior en los Pirineos o bien de una población relíctica. Se discuten las ventajas y desventajas de cada metodología y sus aplicaciones en ecología forestal.Palabras clave: autocorrelación espacial, correlograma, semivariograma, ordenación, fronteras Abstract Spatial surface-pattern analyses and boundary detection techniques applied in forest ecologyWe review methods for uni-and multivariate surface pattern analysis and boundary detection used in forest ecology. A continuous surface pattern is defined as the locations of points (trees) in the space and the associated variable or variables. We illustrate useful methods to describe spatial patterns and infer the generating processes. We show the statistical basis and applied examples of univariate methods for binary (join counts) and quantitative variables (Moran and Geary correlograms, semivariograms, fractal dimension). We explain the calculus and interpretation of multivariate methods to describe surface patterns (Mantel test and correlogram) and their relationships with ordination methods. Finally, we show examples of techniques for boundary detection. Most analysed patterns corresponded to Pinus uncinata forests from the upper altitudinal limit in the Pyrenees or from a relict population. We discuss the advantages and disadvantages of each methodology and their applications in forest ecology.

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The Mantel Test versus Pearson's Correlation Analysis: Assessment of the Differences for Biological and Environmental Studies

Cited by 128 publications

References 16 publications

Faunal breaks and species composition of Indo-Pacific corals: the role of plate tectonics, environment and habitat distribution

Faunal breaks and species composition of Indo-Pacific corals: the role of plate tectonics, environment and habitat distribution

A systematic review of the use of statistics in studies of restoration ecology of arid areas

Spatial surface-pattern analyses and boundary detection techniques applied in forest ecology

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