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<br />synaptic potential. . ., polarity inversions due to openings <br />of the circuit, etc." However, some of the concepts <br />established by the Biarritz researchers are difficult to <br />understand and have been questioned by other <br />researchers (Hume, 1984; Sharber, personal <br />communication). <br />In 1991 during an electrofishing-injury workshop in <br />Bozeman, Montana, N.G. Sharber introduced another <br />explanation for the responses of fish to an electric field. <br />According to this theory, often referred to as the Bozeman <br />paradigm, the observed responses of fish, including <br />muscular seizures resulting in spinal and related injuries, <br />are comparable to responses of humans and other animals <br />subjected to electroconvulsive therapy and can be <br />similarly explained as phases of epilepsy, specifically <br />automatism, petit mal, and grand mal (Sharber and Black, <br />1999; Sharber et aI., 1994, 1995; Sharber, personal <br />communication). <br />How the underlying concepts of the Biarritz para- <br />digm fit in the context of the Bozeman paradigm, and vice <br />versa, has yet to be well explored. Because the phases of <br />epilepsy are understood to be disorders of cerebral func- <br />tion, Sharber et al. (I 994), and Sharber and Black (I999) <br />suggested that the electric-field responses observed in <br />fish are due to various levels of overstimulation of the <br />central nervous system, either directly to the brain or <br />short-circuited through the spinal cord. However, other <br />researchers, including Haskell et al. (I 954), Vibert (I 963, <br />1967b), Lamarque (I 967a, 1990), Edwards and Higgins <br />(I 973), and Wydoski (I980), concluded that the various <br />responses elicited in fish by an electric field are the result <br />of direct stimulation of not only the central nervous sys- <br />tem, which controls voluntary reactions, but also the au- <br />tonomic nervous system, which controls involuntary <br />reactions, and muscles themselves. Haskell et al. (I 954) <br />and Lamarque (I967a, 1990) demonstrated that tetany in <br />DC and muscular bends of the body toward the anode <br />upon circuit closure in DC, or repeatedly in PDC, can be <br />induced by direct overstimulation of efferent nerves or <br />nerve endings associated with muscles. In those experi- <br />ments, either efferent nerves were severed from the spi- <br />nal cord, or the spinal cord was destroyed or removed <br />prior to electric-field exposure. Muscular bends of the <br />body often resulted in what was or would have been <br />movement (taxis) towards the anode. <br />There is surely some truth to both paradigms, and <br />perhaps a better understanding of the responses of fish <br />to electric fields will require an integration of the two <br />(possibly along with aspects of the power-transfer theory <br />discussed below). The major intensity-dependent re- <br />sponses of fish described by both paradigms (reactive <br />detection, undirected or inhibited swimming and taxis, <br />and narcosis and tetany) are illustrated in Fig. 11 and <br />discussed later in more detail. The electro-physiological <br /> <br />SNYDER 23 <br /> <br />mechanisms involved in epilepsy and electroconvulsive <br />therapy might or might not be much better understood <br />than those for the responses of fish to electric fields. In <br />either case, a collaboration of biologists, including ex- <br />perts in neuro-physiology, should be fruitful for both dis- <br />ciplines. Certainly, the observed results of the Biarritz <br />experiments and others mentioned above are valid under <br />the conditions in which they were performed, but a much <br />more complete and defmitive understanding of the electro- <br />physiological mechanisms involved is needed to better <br />determine what electrical-field parameters and conditions <br />will optimize desired electrofishing responses and mini- <br />mize injury and other adverse effects. <br /> <br />Theory of Power Transfer <br />from Water to Fish <br /> <br />Kolz and Reynolds (1989a) suggested that <br />electro fishing should be viewed as a power-related phe- <br />nomenon. More specifically, they hypothesized that the <br />responses of fish to electric fields are directly related to <br />the magnitude of power density (product of voltage gra- <br />dient and current density) in the fish and that the in-fish <br />power-density threshold for each response is constant <br />(fixed) and independent of water conductivity. Accord- <br />ing to their theory of power transfer (Kolz, 1989a), when <br />water conductivity (cw) equals effective fish conductiv- <br />ity (Cj), 100% of the power density in the water is trans- <br />ferred to the fish (applied power density in the water, Dw, <br />equals power density in the fish, Dr). But, as water con- <br />ductivity either increases or decreases relative to the ef- <br />fective conductivity of the fish (conductivity mismatch), <br />power transfer to the fish is progressively less efficient. <br />To establish or maintain a desired level of power density <br />in the fish under conditions of conductivity mismatch <br />(perhaps just above the threshold for a specific response), <br />power density in the water must be progressively in- <br />creased beyond that of the match condition in accord <br />with the relation Dwl Dj = (I + qi I (4q), where q = cwl cf <br />(the conductivity mismatch ratio; Kolz, 1989a). Subscript <br />frepresents effective in-fish values which match corre- <br />sponding in-water values, subscript w, at the minimum of <br />the curve represented by this equation. <br />When plotted on the log-log graph of power-density <br />ratio versus water-conductivity ratio in Fig. 12, or the <br />unique four-way log graph (Figs. 6 and 13) used by Kotz <br />and Reynolds (1989b), the above relation yields what Kolz <br />and Reynolds referred to as a normalized curve for pre- <br />dicting the increase in applied power-density needed to <br />maintain a constant level of power-density in a fish (the <br />curve minimum) as water conductivity changes. Note that <br />the curve is symmetrical with a rounded bottom, like an <br />