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Integrating Ecological and Evolutionary Theory of Biological Invasions 81<br />

cess represents a relative measure of average individual or population performance<br />

in the introduced versus native environments. The response ratio,<br />

R, is simply the ratio of performance in the introduced to the native environments<br />

(R=P I /P N ), and provides a quantitative measure of demographic<br />

change between the introduced and native environment. A response ratio of<br />

1 indicates no change between the introduced and native range. A response<br />

ratio greater than 1 shows positive change, and a response ratio less than 1<br />

shows a negative change relative to the native environment. If P I and P N are<br />

normally distributed, and P N is unlikely to be negative, then the log of the<br />

response ratio (L) is approximately normally distributed (Hedges et al.<br />

1999), making it a statistically tractable metric. Replicate measures of either<br />

individual or population performance (e.g., average body size, fecundity,<br />

seed set) are required to evaluate whether R differs significantly from 1 (or<br />

L from zero) for a given species.<br />

Strong invasion (R>1) can have one or more of several underlying causes,<br />

such as important changes in the biotic environment (e.g., reduced competition<br />

or reduced suppression by natural enemies), or intrinsic evolutionary<br />

changes associated with the introduction. Quantifying whether strong invasion<br />

occurs is simply a first fundamental step (that has often been skipped)<br />

in coming to a more general understanding of the causes of biological invasions.<br />

The response ratio (R) that we have defined for demographic change in<br />

introduced species is linked to whether or not a species is labeled as “invasive”<br />

(Fig. 6.1). Nevertheless, as labels of invasiveness typically are based on subjective<br />

assessments of ecological and economic impacts, R will not perfectly predict<br />

invasiveness. The outliers, however, are likely to be particularly interesting<br />

cases.<br />

Fig. 6.1 Relationship between the<br />

response ratio and invasiveness.<br />

When R=1, the populations in<br />

the introduced range have not<br />

experienced demographic<br />

change (see text). Strong<br />

invaders are those with R>1.<br />

Weak invaders are those with<br />

R=1. While some populations or<br />

species may be considered quite<br />

invasive and have R1 may not<br />

be considered ecologically and<br />

economically invasive, we predict<br />

few species will lie in the<br />

lower right quadrant

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