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Introduction <br />Quantitative study of resource competition has been frustrated by an <br />inability to separate effects of intraspecific and interspecific competition <br />(Connell 1983; Schoener 1983; Strong et al. 1984; Diamond and Case 1986; and <br />Underwood 1986). Even for the simplest case of interspecific competition <br />(i.e., two-species assemblage), few studies allow unconfounded interpretation <br />if experimental design and analysis are critically evaluated. Two types of <br />experimental design are commonly used to study competition in two-species <br />assemblages (1) replacement designs, and (2) additive designs. Strengths and <br />weaknesses of these approaches have been summarized (de Wit 1960; Marper 1977; <br />Connolly 1986, 1988; Underwood 1986; Rejmanek et al. 1989; Snaydon 1991), and <br />both approaches have a degree of intuitive appeal but are either confounded or <br />difficult to interpret. Snaydon (1991) noted "there has been no consensus on <br />the nature of the problems which replacement desi4ns~ose, nor of how they <br />might be solved; neither has there been anv clear recognition of the role that <br />additive designs might play" and suggested that bivariate factorial designs <br />have advantages over traditional methods. We used an experimental approach <br />that incorporated positive attributes of replacement and additive designs to <br />study resource competition between larvae of federally endangered Colorado <br />squawfish, Ptvchocheilus Lucius, and a widely distributed non-native species, <br />the fathead minnow, Pime~hales promelas. The method is equivalent to an <br />incomplete bivariate factorial design and allows unconfounded, <br />straight-forward interpretation of intra- and interspecific competitive <br />effects. It also has the advantage that if competition occurs, the response <br />of each species is consistent with that predicted by ecological theory. <br />Theoretically, when two species compete for limited resources, the interaction <br />4 <br />