Associations between lake phytoplankton community and growth factors — a canonical correlation analysis

Canonical correlation analysis was used to study the associations between the most prevalent phytoplankton species and nine physical and chemical growth factors in a polyhumic Finnish lake. The analysis was made (a) to the ten species with the greatest mean biomass in the data over one growth season and (b) to the ten species providing the greatest canonical correlation with the growth factors. The latter species were detected using an exchange type procedure. The analysis showed strong associations within phyla. Especially the most problematic phylum with respect to the use of the lake, the cyanobacteria, had a pronounced mutual association, as they correlated negatively with the N/P ratio as positively with phosphorus.     

Multivariate analysis of benthic invertebrate communities: the implication of choosing particular data standardizations,measures of association,and ordination methods

Benthic invertebrate data from thirty-nine lakes in south-central Ontario were analyzed to determine the effect of choosing particular data standardizations, resemblance measures, and ordination methods on the resultant multivariate summaries. Logarithmic-transformed, 0–1 scaled, and ranked data were used as standardized variables with resemblance measures of Bray-Curtis, Euclidean distance, cosine distance, correlation, covariance and chi-squared distance. Combinations of these measures and standardizations were used in principal components analysis, principal coordinates analysis, non-metric multidimensional scaling, correspondence analysis, and detrended correspondence analysis. Correspondence analysis and principal components analysis using a correlation coefficient provided the most consistent results irrespective of the choice in data standardization. Other approaches using detrended correspondence analysis, principal components analysis, principal coordinates analysis, and non-metric multidimensional scaling provided less consistent results. These latter three methods produced similar results when the abundance data were replaced with ranks or standardized to a 0–1 range. The log-transformed data produced the least consistent results, whereas ranked data were most consistent. Resemblance measures such as the Bray-Curtis and correlation coefficient provided more consistent solutions than measures such as Euclidean distance or the covariance matrix when different data standardizations were used. The cosine distance based on standardized data provided results comparable to the CA and DCA solutions. Overall, CA proved most robust as it demonstrated high consistency irrespective of the data standardizations. The strong influence of data standardization on the other ordination methods emphasizes the importance of this frequently neglected stage of data analysis.     

The varieties of Bauhinia pottsii G. Don in Thailand (Leguminosae-Caesalpinioideae)

 Bauhinia pottsii G. Don, B. subsessilis Craib, B. velutina (Wall. ex Benth.) Baker, B. mollissima (Wall.) Prain, and B. decipiens Craib were recently recognized as five varieties of Bauhinia pottsii G. Don. They grow naturally in southern Myanmar, Thailand, Indochina and the Malay Peninsula. Bauhinia pottsii var. decipiens (Craib) K. Larsen & S. S. Larsen is endemic to Thailand and known only from the type collection, so it was omitted from this study. Quantitative and qualitative morphological characters were examined in 200 specimens using multivariate and univariate analyses to determine the taxonomic relationship among the four. Some variation in qualitative characters was found between the varieties which separated them as previously defined in Flora of Thailand. Forty-three quantitative characters were subjected to cluster analysis to allow an objective classification into groups. The groups were subsequently evaluated by a canonical discriminant analysis. It was found that these characters collectively support the four varieties as defined by qualitative characters. However, the close relationship of varieties mollissima (Wall. ex Prain) K. Larsen & S. S. Larsen and velutina (Wall. ex Benth.) K. Larsen & S. S. Larsen is observed. The linear discriminant function has an overall rate of 98.5% correct classification and is useful for variety classification. Among quantitative characters, petal-claw length and ovarystalk length together with some qualitative characters are useful for key construction to separate the four varieties. Received April 24, 2001 Accepted December 11, 2001     

Statistical aspects of Mahalanobis distance based methodology

After a methodological introduction (section 1) it is indicated why Cherry et al. (1982) were not fair in suggesting that Mahalanobis distance is less reliable than other simple characteristics of morphological distance. The argument is that these authors used the type of Mahalanobis distance where the covariance matrix is based on the scores of the pair of samples to be compared. They should also have considered the much less unreliable type, where the same covariance matrix is used for all pairwise comparisons. This, at least, would not have displayed violations of the triangle inequality (section 2). The methodological discussions in the rest of the paper give a sense of the various uncertainties the statistician and the physical anthropologist are confronted with when trying to find solutions for outstanding anthropological problems. As a whole, the discussion is more philosophical than solution-oriented. The physical anthropologist and the statistician need to cut their way through the forest of uncertainties when a concrete problem is tackled. To do this it may be useful if various arguments have been listed, even if they are somewhat contradictory.     

Daily Fish and Zooplankton Abundances in the Littoral Zone of Lake Texoma,Oklahoma-Texas,in Relation to Abiotic Variables

Many studies have shown the effects of yearly or monthly environmental conditions on the structure of fish and zooplankton communities. Environmental conditions can also vary greatly on much shorter time scales. We tested the effects of abiotic conditions on the daily abundance of fish and zooplankton in the littoral zone of Lake Texoma, Oklahoma-Texas. After date was removed statistically from the analysis, no environmental variables were particularly important in determining the daily abundance of zooplankton, whereas, numbers of fish in the littoral zone were related to changes in wind velocity and wave height. Regressions of daily fish abundance against wave height showed that the response differed among species and among life-history intervals within species. Numbers of juvenile Dorosoma petenense, Notropis atherinoides, and Morone chrysops were positively correlated with wave height, whereas juvenile Menidia beryllina were negatively correlated with wave height. We suggest that changes in the abundance of particular species may be associated with (1) avoidance of inshore areas to escape possible physical damage by wave induced turbulence, (2) attraction to inshore areas to feed on prey organisms suspended in the water column by wave induced turbulence, and (3) avoidance of inshore areas to escape high predator abundance and increased possibility of being eaten due to turbulence.     

An interdisciplinary evaluation of the status and health of African lake fisheries using a rapid appraisal technique

Data from biological, economic, sociological, and technological attribute lists for 32 African lake fisheries were analysed with multivariate statistics. Multidimensional scaling (MDS) was used to create two-dimensional graphic ordinations of the fisheries for each of these four attributes lists. An overall MDS ordination was also generated, based on the fisheries' scores in the four ordinations. Groupings in each MDS ordination were achieved through cluster analysis. Multiple correlations was used to help determine the attributes which were most important in creating the MDS ordinations. This work showed that relatively fast and simple assessments of the status of African lake and other fisheries can be achieved. The technique also provided insight to help resolve the confounding information often associated with fisheries assessment. Diagnostic information may also be a product of such investigations as this research identified African lake fisheries at risk of declining standards. Indeed, many of the fisheries studied demonstrated similar interdisciplinary symptoms of fisheries decline as other small-scale tropical fisheries.     

The status of Amaranthus bouchonii Thellung within Amaranthus L. section Amaranthus: new evidence from studies of morphology and isozymes

WILKIN, P., 1992. The status of Amaranthus bouchonii Thellung within Amaranthus L. section Amaranthus: new evidence from studies of morphology and isozymes. The introduction of the closely related weedy taxa of Amaranthus L. section Amaranthus into Europe has resulted in a number of taxonomic problems, especially regarding the rank of A. bouchonii Thell. Electrophoretic separation of five isozymes (phosphoglucoisomerase, phosphoglucomutase, glutamate oxaloacetate transaminase, malate dehydrogenase and menadione reductase) and morphological studies were used to generate new data on this problem, and canonical discriminant analysis of morphometric characters was carried out. The results obtained support the maintenance of A. bouchonii as a distinct taxon, most closely related to A. powellii S. Wats. The origin of this taxon is considered, and the monomorphism of the isozymes studied is discussed in the light of the extensive morphological variation within species in section Amaranthus.     

A Measure of Plankton Community Similarity Utilizing Variable Weighting of Total Density and Taxonomic Proportionality

Four commonly used formulae for measuring percentage similarity (PS) of biological communities were tested for their usefulness in relating to two plankton community properties, species proportional differences and total density differences. The formula best combining species proportionality and total density in the expression of PS is new: where min (xi,yi) is the lesser percentage (doubly standardized) of a species in two samples X and Y and where 2 q, 2xi and 2yi are the total quantities of all species in samples 8,X and Y, where \documentclass{article}\pagestyle{empty}\begin{document}$ \sum\limits_i {z_i } ,\,\sum\limits_i {x_i } \,and\sum\limits_i {y_i } $\end{document} are the total quantities of all species in samples Z, X and Y, respectively. Sample 2 contains the highest density of all species in the set; \documentclass{article}\pagestyle{empty}\begin{document}$ \sum\limits_i {z_i \, > \,(\sum\limits_i {x_i ,\,} \sum\limits_i {y_i } )} $\end{document}. The new expression of PS is simple to use and has the additional advantage of offering the analyst an unlimited choice of weighting factors or importance values for proportionality of species content and total density. The method has been applied to data from Gravenhurst Bay (Ontario) and effectively demonstrates the consequences of phosphorus loading reductions for phytoplankton communities.     

PCB Dissipation and Microbial Community Analysis in Rhizosphere Soil Under Substrate Amendment Conditions

Dissipations of PCB in soils under factorial combinations of soil amendment (biphenyl, pine needles, orange peels, unamended) and planting (reed canarygrass, flat pea, burr medic, unplanted) regimes were evaluated in relation to carbon substrate utilization patterns of corresponding soil microbial populations. We examined potential differences among microbial communities under the treatments and then related the differences to PCB dissipation. Based on univariate analysis of treatment results, three PCB dissipation groups were identified. They were (1) high: 50% or more loss of an original 50 mg/kg aroclor 1248 after 100 d, (2) medium: 40 to 50% loss, and (3) low: <20% loss. A canonical discriminant analysis (CDA) was performed on the data with the PCB dissipation grouping as the class variables and the carbon substrates as exploratory variables so as to relate PCB dissipation to C substrate use. The three PCB dissipation groups were reconstructed based on a subset of C substrates. The CDA identified C substrates that were most important in differentiating between population communities under the various treatments. The potential importance of the ability to correlate community substrate utilization to contaminant dissipation is discussed.     

协惯量分析与典范对应分析在植物群落排序中的应用比较

采用协惯量分析(PCA-CA COIA)和典范对应分析(CCA)两种排序方法, 对北京小龙门林场的黄檗 (Phellodendron amurense)群落进行了分析, 并用Spearman秩相关系数检验了对应排序轴的相关性。两种排序方法得出的结果基本一致, 两者的第一排序轴都反映了海拔高度和坡向对群落分布的影响, 而各自第二、第三排序轴所代表的环境意义有所差异, 并出现了交叉, 但是两者的前3个排序轴均反映了海拔、坡位、土壤厚度和凋落物层厚度的变化趋势, 说明在环境因子个数较少或共线性效应不明显的情况下, 协惯量分析也能达到CCA的分析效果, 并且在排序轴特征值解释量上高于典范对应分析。     

A multivariate approach to the selection of biological reserves

Multivariate analysis provides an effective context for the examination of some significant aspects of biodiversity and conservation. The framework is a multidimensional space that integrates sample sites, taxa and environments. This approach enables terms such as representativeness, complementarity and irreplaceability to be integrated within an intuitive and practical framework for reserve design. Cluster analysis is proposed to determine what is there by defining a set of complementary clusters. These clusters are sampled in a representative manner; from the core outward. The degree of irreplaceability of a site is defined as the multivariate distance of each potential reserve site to its nearest neighbour.     

Partitioning the variation among spatial,temporal and environmental components in a multivariate data set

Abstract We propose a method of partitioning the variation in a multivariate set of data according to (i) environmental variables, (ii) variables describing the spatial structure in the data and (iii) temporal variables. This method is an extension of an existing method for partialling out the spatial component of environmental variation, using canonical analysis. Our proposed method extends this approach by including temporal variables in the analysis. Thus, the partitioning of variation for a data matrix of species’abundances or biomass can include, by our methodology, the following components: (1) pure environmental, (2) pure spatial, (3) pure temporal, (4) pure spatial component of environmental, (5) pure temporal component of environmental, (6) pure combined spatial/temporal component, (7) combined spatial/temporal component of environmental and (8) unexplained. In addition, permutation testing accompanying the analyses allows tests of significance for the relationship between the different components and the species data. We illustrate the method with a set of survey data of penaeid species (prawns) obtained on the far northern Great Barrier Reef, Australia. This extension is a useful tool for multivariate analysis of ecological data from surveys, where space, time and environment commonly overlap and are important influences on observed variation.