Water and salt balance of halibut eggs and larvae (Hippoglossus hippoglossus)

Eggs of halibut [Hippoglossus hippoglossus (L.)] have a negative buoyancy in sea water of 35 S, in contrast to eggs of most flatfish species. The cause of this was investigated. The osmolality of the yolk is 350–420 mOsm during embryonic development. This is within the range for marine teleost serum and for yolk of pelagic eggs. Concentrations of major inorganic ions are comparable with those of pelagic plaice eggs [Pleuronectes platessa (L.)]. The values for Na⁺, K⁺ and Cl^- are 6, 85, and 64 mmol · (1 H₂O)^-1 after fertilization, and at the time of hatching the corresponding values are 17, 11, and 80. Large amounts of other inorganic constitutents are excluded for osmotic reasons. Malfunction in the regulation of osmolality or of inorganic constituents is thus unlikely to be the cause of negative buoyancy. The relative dry weight of the chorion (egg shell) in halibut eggs is less than in several pelagic egg types, excluding the chorion as the main contributor of negative buoyancy. It is concluded that a high content of organic matter in the rest of the egg is the cause of the negative buoyancy.     

几类有机污染物的微塑料/水分配系数的线性溶解能关系模型

水体中的微塑料会吸附其中的有机污染物,影响有机污染物和微塑料的环境归趋和生态毒性。研究微塑料对有机污染物的吸附行为,对于评价有机污染物和微塑料的环境赋存、迁移及生物有效性有重要意义。污染物在微塑料与水之间的平衡分配系数(Kd),是表征微塑料对有机污染物吸附能力的重要参数。实验方法难以逐个测定众多有机污染物的Kd值,有必要发展其预测模型。本研究搜集了有机污染物的线性溶解能关系(LSER)参数及Kd值,构建了可预测有机污染物在聚丙烯微塑料与海水、聚乙烯微塑料与海水、聚乙烯微塑料与淡水之间Kd值的LSER模型。模型具有良好的拟合优度(R2adj介于0.794~0.903)、稳健性(Q2LOO和Q2BOOT分别介于0.763~0.863和0.720~0.804)和预测能力(R2ext和Q2ext分别介于0.886~0.971和0.825~0.954),能够用于预测多氯联苯、多环芳烃、六氯环已烷和氯苯类有机污染物的Kd值。     

Effect of light and temperature on the population dynamics of two toxic bloom forming Cyanobacteria – Microcystis ichthyoblabe and Anabaena aphanizomenoides

The effect of light and temperature on the growth of Microcystis ichthyoblabe and Anabaena aphanizomenoides, isolated from the subtropical Oued Mellah lake, Morocco (33°30′N–07°20′W), were investigated in batch culture. Growth rates at 66 light–temperature combinations were determined and fitted with different mathematical models. The results show that the two Cyanobacteria grow at all light intensities and temperatures, except at 10 °C for A. aphanizomenoides, where the growth was strongly limited. The μ_max of M. ichthyoblabe increased with temperature from 0.56 d^?1 at 10 °C to 1.32 d^?1 at 35 °C. At all tested temperatures, a relative photoinhibition within the studied range of irradiance was observed and the photosensitivity was thermodependent. For Anabaena, the obtained μ_max ranged between 0.07 d^?1 at 10 °C and 1.46 d^?1 at 35 °C, and a weak photoinhibition was observed at 15 °C. The positive correlation between μ_max and I_opt (r²≥0.93) indicates a close interaction between light and temperature on the cyanobacteria growth. The results obtained in this work suggest that the growth of these two species is possible under low light and low temperature.     

Nutrient uptake kinetics and growth of zooxanthellae maintained in laboratory culture

Growth characteristics and nutrient uptake kinetics were determined for zooxanthellae (Gymnodinium microadriaticum) in laboratory culture. The maximum specific growth rate (_max) was 0.35 d^-1 at 27 °C, 12 hL:12 hD cycle, 45 E m^-2 s^-1. Anmmonium and nitrate uptake by G. microadriaticum in distinct growth phases exhibited Michaelis-Menten kinetics. Ammonium half-saturation constants (K_s) ranged from 0.4 to 2.0 M; those for nitrate ranged from 0.5 to 0.8 M. Ammonium maximum specific uptake rates (V_max) (0.75 to 1.74 d^-1) exceeded those for nitrate (0.14 to 0.39 d^-1) and were much greater than the maximum specific growth rate (0.35 d^-1), suggesting that ammonium is the more significant N source for cultured zooxanthellae. Ammonium and nitrate V_max values compare with those reported from freshly isolated zooxanthellae. Light enhanced ammonium and nitrate uptake; ammonium inhibited nitrate uptake which was not reported for freshly isolated zooxanthellae, suggesting that physiological differences exist between the two. Knowledge of growth and nutrient uptake kinetics for cultured zooxanthellae can provide insight into the mechanisms whereby nutrients are taken up in coral-zooxanthelae symbioses.Contribution No. 1515 from the University of Maryland Center for Environmental and Estuarine Studies, Chesapeake Biological Laboratory, Solomons, Maryland 20688-0038, USA     

Rearing Pandalus borealis larvae in the laboratory

Larvae of the northern shrimp Pandalus borealis (Krøyer) are pelagic. In the Estuary and Gulf of St. Lawrence, Canada, the early stages are found in the upper 25-m of the water column in spring and early summer and are expected to experience a range of water temperatures from as low as 0°C to as high at 6°C. Little is known of the impact of water temperature on metabolic requirements of northern shrimp larvae. In this study, routine respiration (VO₂), maximum respiration (electron transport system activity, ETSA) and metabolic scope for growth (MS, ETSA–VO₂) of northern shrimp larvae were measured as a function of temperature (3, 5 and 8°C), developmental stage (I–V at 3°C, I–VII at 5°C and 8°C) and growth rate in dry mass. After logarithmic transformation, all three metabolic variables were linearly related to dry mass. The increase in VO₂ with body mass was faster at 5°C than at 3 or 8°C, whereas with ETSA this increase was slower. As a result, MS increased more slowly with dry mass at 5°C than at 3 and 8°C. However, MS did not limit growth in this study, since it explained only 39% of the variability in growth. All three metabolic variables as well as growth varied together as a function of temperature and ontogeny. Q₁₀ of all three metabolic variables ranged from 1.6 and 2.2 for stages I–V larvae, except for VO₂ at stage I (3.9) and stage III (2.9).     

Arachis hypogaea derived activated carbon steered remediation of Benzimidazole based fungicide adsorbed soils

Sorption characteristics of the Benzimidazole fungicide Carbendazim were assessed in seven different soils using batch equilibrium method and analysed by UV-Vis spectrophotometer. The values of adsorption co-efficient K_d ranged from 14.3 to 39.8?µg/mL depending upon unique physiochemical properties of soils. Negative values for Gibbs free energy (ΔG) proposed an exothermic and low interaction between Carbendazim and soil samples leading to physiosorption. Statistical analysis showed a negative correlation of soil pH and K_d (R²= ?0.80) and a positive correlation with organic matter (R^2?=?0.77). Activated carbon prepared from Arachis hypogaea (peanut shells) by acid activation for Carbendazim removal from soils was characterised by FTIR spectrometry, indicating the change in functional groups. The highest percentage removal observed was 70% in 5?ppm initial Carbendazim concentration while 65% in 7.5?ppm concentration. This method can be implied in agricultural soils as an efficient and cheap technique for removing the hazardous pesticides from the environment.     

Dispersal potential of invasive algae: the determinants of buoyancy in <Emphasis Type="Italic">Codium fragile</Emphasis> ssp. <Emphasis Type="Italic">fragile</Emphasis>

The capacity for long-distance dispersal is an important factor in determining the spread of invasive species. For algae, positive buoyancy generally is correlated with increased dispersal potential, and the light environment has been previously identified as a possible determinant of buoyancy in several species. We examined the effect of light intensity on the buoyancy of fragments of the invasive green alga Codium fragile ssp. fragile. Under natural and controlled conditions, the buoyancy of samples taken from the thallus tip was higher than those from near the holdfast. Both laboratory and field experiments also showed that buoyancy was dynamic and switched from positive to negative under reduced light intensity, but this change required several days. We also observed seasonal changes in buoyancy, presumably due to natural variations in light intensity, with the buoyancy of fragments washed up on the shore highest in mid-summer. These results show that buoyancy is a dynamic property of the C. fragile ssp. fragile thallus and suggest that buoyant fragments contribute to long-range dispersal and accelerated regional spread of this invader. This finding suggests that dispersal is more likely during conditions of high light intensity and illustrates the need to understand how variations in the natural environment can affect the dispersal potential of invasive species.     

The trophic role of glycolic acid in coastal seawater. II. Seasonal changes in concentration and heterotrophic use in Ipswich Bay,Massachusetts, USA

Glycolic acid is a known algal excretory product which is found in marine waters and is readily metabolized by marine bacteria. The following parameters were measured over the course of a year in Ipswich Bay: chlorophyll a, temperature, viable bacteria, heterotrophic uptake of glycolate, and glycolate concentrations. The latter two were combined to give estimates of the flux of glycolate for a station 3 km out in the bay and for an inshore station. Pronounced seasonal changes were found for all parameters. Statistically significant correlations between heterotrophic V _max and glycolic acid concentrations and temperature were found, but not between planktonic chlorophyll a and any of the other parameters. Measurements of glycolic acid flux yielded an annual flux of 2.84 g m^-2 for the bay station, which is about 0.5% of the bay phytoplankton production. Glycolic acid turns over roughly 12 times per year in the bay. It contributes perhaps as much to bacterial metabolism as any other single substrate, but is apparently not of dominating importance.     

Geographical variability in the bioenergetic characteristics of Monoporeia/Pontoporeia spp. populations from the northern Baltic Sea,and their potential contribution to benthic nitrogen mineralization

The physiological condition, determined as the ammonia excretion rate (V NH ₄ ⁺ ), total lipid level and lipid class composition, of two deposit-feeding benthic amphipods, Monoporeia (=Pontoporeia) affinis and Pontoporeia femorata, was studied from 12 opensea stations in the northern Baltic Sea between 24 May and 11 June 1993. The M. affinis populations can be geographically grouped according to their physiological condition: (1) eastern Gulf of Finland, with moderate lipid level (mean 24.4% of dry wt) and high V NH ₄ ⁺ (45.2 mol NH ₄ ⁺ g^-1 dry wt d^-1); (2) Bothnian Sea, wigh high lipid level (34.5%) and low V NH ₄ ⁺ (24.6 mol NH ₄ ⁺ g^-1 dry wt d^-1); and (3) Bothnian Bay, with low lipid level (15.2%) and high V NH ₄ ⁺ (44.3 mol NH ₄ ⁺ dry wt d^-1). A similar pattern could be observed also in the level of triacylglycerols and the neutral-to-polar lipid ratio. P. femorata, the dominating species in the western Gulf of Finland, showed variable station-specific excretion rates (22.3 to 43.0 mol NH ₄ ⁺ g^-1 dry wt d^-1) and lipid levels (23.4 to 30.4%). The spatial variability in the weight-specific V NH ₄ ⁺ of M. affinis could not be explained by the differences in the size of individuals, lipid level or lipid class composition; this emphasizes the significance of the effects of spatially differing nutritional conditions, which manifest themselves as different modes of metabolic energy production and different intensities of energy storage. In addition, the potential contribution of the amphipod populations to benthic nitrogen mineralization was estimated; in May to June, the NH ₄ ⁺ release of different populations ranged from 12 to 237 mol NH ₄ ⁺ m^-2d^-1. In general, populations with high abundance and/or biomass release the greatest amounts of NH ₄ ⁺ , but the values are modified by the physiological condition of the individuals.     

Stable isotope study of sedimentary carbon utilization by Capitella spp.: effects of two carbon sources and geochemical conditions during their diagenesis

Two experiments were conducted to determine the effect of the type of sediment organic matter and geochemical conditions during diagenesis on the stable carbon isotope ratio ¹³C of the deposit-feeding polychaete worms Capitella spp. Laboratory experiments showed ¹³C values of-13.5 to-13.9%. for worms grown on fresh and aged kelp, Macrocystis pyrifera. Field experiments on worms in the Santa Barbara Channel, California (USA), in 1986 revealed more negative ¹³C values (to-19%.) when oil and kelp were added to sediments. The more negative values suggest the incorporation of oil carbon into worm tissues, supporting previous indications of the importance of hydrocarbons in food webs near oil seeps.     

The genetic effects of larval dispersal depend on spatial scale and habitat characteristics

The intertidal gastropods Bembicium vittatum and Austrocochlea constricta, which have direct and planktonic larval development, respectively, occur sympatrically at sites across a number of islands at the Houtman Abrolhos archipelago and two harbours at Albany in Western Australia. Their distribution provide an opportunity to examine the effect of dispersal ability on levels of genetic subdivision at a number of spatial scales. F _ST (standardised variance in allelic frequencies) values in the range 0.361 to 0.396, determined from allozyme frequencies at 12 to 13 polymorphic loci, confirm isolation of Abrolhos and Albany populations, which are separated by 900 km of coastline, in both species. Within the Abrolhos and Albany, levels of subdivision in B. vittatum were high, but similar, as indicated by F _ST values of 0.091 and 0.090, respectively. In A. constricta, a mean value of 0.160 at the Abrolhos suggests severe restrictions to gene flow, while 0.021 at Albany indicates much stronger connections among populations. F _ST values at the Abrolhos support previous suggestions that this archipelago favours genetic subdivision in both direct and planktonic-developing species. The Albany harbours favoured subdivision only in B. vittatum, the low values of F _ST in A. constricta being attributed to strong mixing between the harbours, thus facilitating gene flow via planktonic larvae. The isolation of A. constricta populations at the Abrolhos can be explained in terms of highly localised recruitment, the result of limited water movement in complex intertidal habitats. The study illustrates the value of examining sympatric direct and planktonic developers in assessing the role of larval dispersal in patterns of genetic subdivision, and concludes that planktonic larvae may not promote gene flow over broad or even some fine spatial scales.     

Distribution of metallic compounds between plants and soils∗

Distribution of metallic constituents between soil and aerial parts of wild plants has been discussed by using relative ionic impulsions, i/I, defined as functions of concentrations of metallics ions, being i = [M]^1/2M, z_M the oxidation state of considered metal and I = S i the summation of contribution of metals. For this calculation metals were divided into two groups leading to ^I macro (K, Na, Ca, Mg, and Mn, elements accumulated in aerial parts) and to I _Micro (Fe, Cu, Zn, Co and contaminants accumulated in roots). Relative ionic impulsions may be attributed to an electric potential gradient and show if an active or passive uptake is happening. For macroelements linear relationships were obtained for Mg‐K (global active uptake) and Na‐Mn‐Ca (global passive uptake) with inverse slopes. Passive ions seem to be used as counter ions for helping active assimilation. Calculated potential gradient was close to 20 mV. The same situation was found for microelements and pollutants, where Fe is taken passively helping assimilation of the rest (Cu, Zn, Co, Cd, Pb, Ni and Cr) with a potential gradient close to 13 mV. Influences of other ecological segments (rainfall, dry deposition, airborne dust and irrigation), as well as additions for amending contaminated soils are finally discussed.     

Using a mathematical model to test the null hypothesis of optimal shell construction by four marine gastropods

A previous analysis (Heath 1985; Biol J Linn Soc 24: 165–174) tested and rejected the null hypothesis that gastropods construct their shells with optimal efficiency. The ratio volume of material used to volume of space enclosed (V _shell:V _space) was used as a measure of inefficiency of construction and shown to exhibit smooth parabolic curves if plotted as a function of whorl overlap. In the present analysis, in contrast, it is demonstrated that inefficiency of a particular combination of mode and rate of shell construction, consisting of variable interapertural areas and rapidly expanding whorl cross sections, is described by polynomial curves with inflection points. As an empirical test of this theoretically derived observation, V _shell:V _space of shells of four species of marine gastropods [Architectonica perspectiva (L., 1758), Cittarium pica (L., 1758), Euspira heros (Say, 1822), and Telescopium telescopium (L., 1758)] was calculated, using a mathematical model. By varying the vertical component of aperture trajectories [i.e. translation (T )] in the mathematical model, hypothetical forms representing a range of possible whorl overlap were simulated graphically and, for each form, V _shell:V _space was calculated. Plots of V _shell:V _space as a function of whorl overlap were described accurately by polynomial curves with inflection points, and each real shell yielded a nonoptimal V _shell:V _space, exhibiting approximately 75% less whorl overlap than its most efficiently constructed, hypothetical form. Inflection points of inefficiency curves represent critical points at which the reduction of space provided begins to exceed significantly the amount of material saved with increasing whorl overlap, and nonoptimal shell forms might represent compromises between efficient construction and function. Received: 26 June 1998 / Accepted: 17 March 1999     

Effects of oil pollution on the freezing tolerance and solute concentration of the blue mussel Mytilus edulis

Exposure of blue mussels (Mytilus edulis L.) to oil-polluted sea water for 7 d in the laboratory did not affect their body fluid concentrations of inorganic ions and free amino acids. Mussels exposed to-4°C for 12 h did not freeze, whereas freezing occurred invariably in mussels exposed to-7°C or lower temperatures for the same period. Following freezing at-10°C, oil polluted mussels resumed normal activity considerably more slowly than unpolluted ones, but oil-polluted as well as unpolluted mussels showed normal activity 3 h after thawing. Freezing at-15°C was invariably lethal to individuals of both groups. One possible explanation of the delayed recovery of oil-polluted mussels frozen at-10°C may be that oil components had become concentrated to toxic levels as the amount of solvent water diminished during freezing.     

Mass encystment of a planktonic oligotrich ciliate

Sediment traps were deployed in a 60 m water column near the Eddystone Lighthouse on the south west coast of England for one year from March 1984. In April, the traps collected the cysts of a planktonic ciliate with a flux of almost 35 000 m^-2 d^-1. The cysts were attributed to a planktonic oligotrich [provisionally identified as Strombidium crassulum (Leegard) Kahl], which was common in the water at the time. Identification was achieved through the discovery of the incipient formation of the cysts in preserved water samples and by the similarity of the morphology of the cysts with that of other oligotrichid ciliates. Attempts to prove the relationship by incubation have so far failed. The production of the cysts followed the main spring bloom of diatoms and coincided with a small bloom of autotrophic oligotrichs. In the traps, the total number and percentage of cysts with contents decreased rapidly after the encystment event. However, potentially viable cysts were still recorded in the plankton eleven months later, with minimum fluxes of 200 cysts m^-2 d^-1. Resuspension of bottom sediments by tides and storms ensured that a large population of cysts was always present in the water column during the winter, awaiting the right conditions to stimulate excystment and the initiation of a new motile population.     

Heavy metals uptake from aqueous solutions using marine algae (Colpomenia sinuosa): kinetics and isotherms

The adsorption of copper, zinc, cobalt, lead and cadmium ions onto Colpomenia sinuosa was studied as a function of contact time, initial metal ion concentration and initial pH. In addition, desorption studies were performed. Characterisation of this adsorbent was also confirmed by Fourier transform infrared (FTIR) spectroscopy and scanning electron microscopy (SEM) analysis. Batch adsorption experimental data were analysed using Langmuir, Freundlich and Dubinin–Raduschkevich (D–R) adsorption isotherms. The results indicated that the biosorption equilibrium was well described by both the Freudlich and D–R isotherms. Moreover, sorption kinetics was performed and it was observed that equilibrium was reached in<60 min, which could be described by the pseudo-second-order kinetic model for all heavy metals. The sorption of heavy metals onto the biomass was largely dependent on the initial solution pH. The elution efficiency for heavy metal ions desorption from C. sinuosa was determined for 0.1 M HCl, 1.0 M HCl and 1.0 M HNO₃. Desorption efficiency and also adsorption capacity were highest for Pb(II). The results indicate that C. sinuosa has great potential for the removal of heavy metals in an ecofriendly process.     

Rate of heat dissipation by gametes and larval stages of Mytilus edulis

Heat dissipation of sperm, eggs and various stages of the planktonic larvae of the mussel Mytilus edulis L. was recorded directly at 15°C. The absolute heat dissipation increased steadily over all stages examined. The massspecific heat dissipation also increased during early embryogenesis from the fertilized egg to the D-larval stage. Starting from the early veliconcha stage, however, the mass-specific rate of heat dissipation declined from about 90 m W g^-1 with increasing body size with a weight exponent of-0.35. A comparison with literature data revealed a consistently higher metabolic activity than previously estimated by indirect calorimetry for gametes and larvae.     

Effect of temperature fluctuations and food supply on the growth and metabolism of juvenile sea scallops (Placopecten magellanicus)

On the eastern shore of Nova Scotia late summer atmospheric systems cause upwelling of shelf water; the associated temperature variations of 10 °C with a 6 to 8 d period are comparable in magnitude to the seasonal variation. A laboratory study was undertaken to assess the effects of these temperature fluctuations on sea scallop (Placopecten magellanicus) growth and metabolism. In a factorial design, scallops were subjected to constant (10 °C) or a variable (6 to 15 °C) 8 d temperature cycle, and either a low (seston in filtered seawater) or high (seston supplemented with cultured phytoplankton) food diet. During the 48 d experiment scallop mortality was low and growth positive in all treatments. Shell and total tissue growth rate did not differ between temperature treatments, but growth in the high food treatments was 40 to 50% higher than in the low food treatments. However, soft tissue (excluding adductor) growth did show a temperature treatment effect; growth rates were significantly higher in the fluctuating temperature treatment, due in part to greater gonad development. Weight-standardized rates of scallop oxygen consumption (V _sO₂ , μmol O₂ g⁻¹ h⁻¹) were 20 to 25% higher in high food than in low food treatments, consistent with the expected increase in respiration due to the higher growth rates. Scallop metabolism did not acclimate to the fluctuating temperature cycle; V _sO₂ and ammonium excretion (V _sNH⁺ ₄, μmol O₂ g⁻¹ h⁻¹) remained dependent on ambient temperature throughout the experiment. V _sNH⁺ ₄ Q₁₀ (2.77) was higher than V _sO₂ Q₁₀ (2.01) which was reflected in a decrease in the O:N ratio at 15 °C, indicating a shift toward increased protein catabolism and a stressed state. At 10 °C, V _sO₂ and V _sNH⁺ ₄ in the variable temperature treatments were 15 to 18% lower than in the constant temperature treatments, a difference that was not detected in growth measurements. Results demonstrate that the metabolism of Placopecten magellanicus, unlike some bivalve species, is tightly coupled to fluctuations in ambient temperature. Although an absence of compensatory acclimation had a minimal effect on growth in this study, if high temperatures were combined with low food conditions a reduction in scallop production could result. Received: 23 June 1998 / Accepted: 8 February 1999     

Phytoplankton exudate release as an energy source for the growth of pelagic bacteria

The release of dissolved organic carbon (DOC) from phytolankton during photosynthesis, and the utilization of this carbon by planktonic bacteria, was studied using ¹⁴CO₂ and selective filtration. Natural sea water samples from a coastal area of the Northern Baltic Sea were incubated in the laboratory for detailed studies, and in situ for estimation of annual dynamics. In a laboratory incubation (at +1°C) the concentration of ¹⁴C-labelled dissolved organic carbon increased for about 2 h and then reached a steady state, representing about 0. 1% of the total DOC. Labelled organic carbon in the phytoplankton and bacterial fractions continued to increase almost linearly. The continuous increase in the bacterial fraction is thought to represent almost instantaneous utilization of the DOC released from the phytoplankton during photosynthesis. As an annual average, in 4 h in situ incubations, about 65% of the labelled organic carbon was found in the phytoplankton fraction (>3 m), about 27% in the bacterial fraction (0.2 to 3 m) and the remaining 8% as DOC (<0.2 m). Large variations in these percentages were recorded. The measured annual primary production was 93 g C m^-2 (March to December), and the estimated bacterial production due to phytoplankton exudates 29 g C m^-2. This represents a release of DOC of about 45% of the corrected annual primary production of 110 g C m^-2 (assuming a bacterial growth efficiency of 0.6).     

Experimental Study of Gas-Liquid Interfacial Properties in a Stepped Cascade Flow

Gas-liquid interface measurements were conducted in a strongly turbulent free-surface flow (i.e., stepped cascade). Local void fractions, bubble count rates, bubble size distributions and gas-liquid interface areas were measured simultaneously in the air-water flow region using resistivity probes. The results highlight the air-water mass transfer potential of a stepped cascade with measured specific interface area over 650 m^–1 and depth-average specific area up to 310 m^–1. A comparison between single-tip and double-tip resistivity probes suggests that simple robust single-tip probes may provide accurate, although conservative, gas-liquid interfacial properties. The latter device may be used in the field and in prototype plants. Notation a = specific interface area (m^–1); a _mean = depth-average specific interface area (m^–1): a _mean=frac1Y ₉₀limits sup> Y ₉₀ sup ₀(1–C)dy; C = local void fraction; C _gas = dissolved gas concentration (kg m^–3); C _mean = depth-average mean air concentration defined as: C _mean=1–d/Y ₉₀; C _s = saturation concentration (kg m^–3); D = dimensionless air bubble diffusivity (defined by [1]); d = equivalent clear-water flow depth (m): d=limits sup> Y ₉₀ sup ₀(1–C) dy; d_ab = air bubble diameter (m); d_c = critical flow depth (m); for a rectangular channel: d _c=sqrt[3]q _w ²/g; F = air bubble count rate (Hz); F _max = maximum bubble count rate (Hz), often observed for C=50%; g = gravity acceleration (m s^–2); h = step height (m); K _L = liquid film coefficient (m s^–1); K = integration constant defined as: K=tanh ^–1 sqrt0.1)+(2D)^–1 [1]; L = chute length (m); N = velocity distribution exponent; ———– ^*Corresponding author, E-mail: h.chanson@mailbox.uq.edu.au Q _w = water discharge (m³ s^–1); q _w = water discharge per unit width m² s^–1); t = time (s); V = local velocity (m s^–1); V _c = critical flow velocity (m s^–1); for a rectangular channel: V _c=sqrt[3]q _w g V _max = maximum air-water velocity (m s^–1); V ₉₀ = characteristic air-water velocity (m s^–1) where C = 90%; W = channel width (m); x = longitudinal distance (m) measured along the flow direction (i.e., parallel to the pseudo-bottom formed by the step edges); y = distance (m) normal to the pseudo-bottom formed by the step edges; Y₉₀ = characteristic distance (m) where C=0.90; Y ₉₈ = characteristic distance (m) where C=0.98; = slope of pseudo-bottom by the step edges; = diameter (m).