Hd. Rundle et Da. Jackson, SPATIAL AND TEMPORAL VARIATION IN LITTORAL-ZONE FISH COMMUNITIES - A NEW STATISTICAL APPROACH, Canadian journal of fisheries and aquatic sciences, 53(10), 1996, pp. 2167-2176
Through the use of principal coordinates analysis, a technique is pres
ented that allows the quantitative partitioning of the total variation
within a data set into its spatial and temporal components. The graph
ical nature of this technique, in combination with the quantitative re
sults, aids in the examination of specific hypotheses regarding the st
ructure of the variation. These hypotheses are tested against null or
model matrices of the structure of the variation with statistical sign
ificance assessed using Mantel's test. This approach is applied to a d
ata set of species' abundances from the littoral-zone fish communities
of three Ontario lakes sampled three separate times. The variation wa
s partitioned and the influence of different similarity measures was e
xplored. Among-lake (spatial) variation accounted for 67-81% of the to
tal variation. The time of sampling represented 1-3% of the total. The
re was significant among-lake variation for all three sampling periods
whereas only one lake showed a significant temporal component. Togeth
er, both lake and time of sampling accounted for 74-86% of the variati
on, the remainder being within-lake variation (i.e., among-site or sit
e-by-time interactions). The structure of the variation was sensitive
to the similarity measure used as a result of differing emphasis on pa
rticular attributes (e.g., relative versus absolute abundance).