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Paller <br />lions on bacterial metabolic rate. Research in freshwater aquacul- <br />ture systems has demonstrated that zero-order kinetics apply at am- <br />monia-nitrogen concentrations > 2.0 mg/l, and half-order kinetics <br />apply at lower concentrations (Bovendeur et al. 1990). While rela- <br />tively high total ammonia concentrations are acceptable if hardy <br />species are cultured and if ammonia is maintained in the ionized <br />form by careful monitoring and adjustment of pH, it is usually de- <br />sirable to maintain total ammonia concentrations below 2.0 mg/l. <br />This complicates the sizing of biofilters, since ammonia removal <br />will vary with the ammonia concentration when it is under 2.0 mg/l. <br />A prerequisite for the continued development of water reuse in <br />aquaculture is a method of quantifying the ammonia removal capac- <br />ity of biofilters. While there are methods to size biofilters on the <br />basis of fish loading and ammonia removal rates/mZ of media sur- <br />face (Liao and Mayo 1972; Speece 1973; Nijhof and Bovendeur <br />1990), These procedures do not account for the changes in ammonia <br />removal rate associated with half-order kinetics at tow ammonia <br />concentrations. The objective of this paper is to present a general <br />model that can be used to predict the carrying capacity of sub- <br />merged biofilters at low (< 2.0 mg/l) ammonia concentrattons. <br />MATERIALS AND METHODS <br />The model presented herein is partly based on laboratory data <br />collected from several small-scale biofiltration systems. Data essen- <br />tial for the development of the model are presented in this paper; <br />related data, emphasizing the performance and carrying capaaties <br />of the experimental biofiltration systems, are reported in Paller and <br />Lewis (1988). <br />All biofilters we:re cylindrical, with 11.1 I of internal space occu- <br />pied by biofilter nnedia, and were operated in a submerged upflow <br />mode. The biofilters were filled with river gravel or granular car- <br />bon, whic}~ served as supporting media for the growth of bacteria. <br />The granular carbon particles were smaller and tighter and pos- <br />sessed greater surface area per unit volume than the gravel (Paller <br />and Lewis 1988). Biofilters employing granular carbon media were <br />fluidized by increasing the hydraulic loading rate to 44 ml/cm2/sec- <br />ond (Paller and Lewis 1988). <br />