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Complex systems often operate on multiple
scales. Remember the boiling water example?
Imagine the path of a single water molecule,
followed for a short period of time; probably no
pattern will be seen. But taking a step back, we
see a general circular pattern when many
molecules are watched for the same time period
(or a single molecule is watched for a longer
time). Thus, patterns may appear and disappear
depending on the scale of the study. A process
driving a pattern at one scale may be
unimportant in the bigger picture (although
these discontinuities result in heterogeneity).
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Scale must be considered in any study.
Experimental ecologists like to draw inferences
about large-scale processes based on small-scale
experiments. This assumes that either 1) the
pattern and underlying process do not change
with scale, or 2) the pattern changes in a
predictable fashion, and there are no threshold
effects (e.g. percolation theory). For
organisms, "scaling deals with the
structural and functional consequences of
changes in size or scale among otherwise similar
organisms" (Schmitt-Neilson,1984). The size
of an organism is perhaps its most apparent
characteristic. In ecology, many attributes of
ecology, life history, and physiology can be
described by power laws based on the organism's
size (see Functional similarity section above).
Understanding the origin of these biological
scaling laws will provide critical insight into
the mechanistic processes operating within
ecological systems.
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