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- Hilltop Plot
A hilltop plot is a way of showing more than one nonlinear response surface at a time.
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ContourOverlay.jpg (404740 bytes) - Contour Overlay
Overlay a quantitative (Q) variable as a contoured surface on any ordination.
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ConvexHullsFilledPolygons.jpg (164154 bytes) - Convex Hulls Filled Polygons
A convex hull is an overlay that uses a polygon to enclose all of the points in a group.
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Weighted Averaging
The simplest yet often effective method of ordination is weighted averaging. The essential operation is the same: a set of pre-assigned species weights (or weights for species groups) are used to calculate scores for sites (sample units). The calculation is a weighted averaging for species or species groups actually present in a sample unit. Weighted averaging used in Federal Manual and numerous ecological indices.
For each selected overlay variable, we trace a particular contour that is specified as a percentage of that variable's range. Each contained area is a "hilltop", and multiple partially transparent hilltops are superimposed on one ordination. The resulting diagram shows the maxima of many nonlinear overlay variables (e.g. traits, species abundances, or environmental variables) in a single figure.
Legendre和Legendre (1998)提出了Gower相似系数（S19）的修改版本，称之为" asymmetrical"，因为匹配零点的处理不同于非零值。它与Gower系数相同，但不包括定量变量（0,0）对,因此，部分相似度的总和不是由p变量划分的，而是由p非（0,0）对的数目来划分的。
请注意，这种“不对称”的感觉不同于矩阵对称性。如果Legendre的非对称版本Gower的相似性被转换为距离（或相），并用于建立距离矩阵，这仍然是对称矩阵。换句话说，项目A和B之间的距离与B和A之间的距离相同，即使使用Gower的相似性的不对称版本。为了避免这种混乱，PC-ORD使用菜单系统中的术语"Gower, Ignore 0,0"，并输出文件。
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