Comparison of statistical phosphorus-retention models

Frisk, Tom; Niemi, Jorma; Kinnunen, Kari

doi:10.1016/0304-3800(81)90022-3

Cited by 17 publications

(7 citation statements)

References 9 publications

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“…Most lakes from this group belonged to a type of lakes with high internal P loading like the lakes Norrviken, Geneva, and Hylke (Sas, 1989). The dependence of P retention on [P in ] has been recognised and used in P retention modelling in lakes and reservoirs since the beginning of 1980s (Frisk, Niemi, & Kinnunen, 1980;Kennedy, 1999;OECD, 1982). (c) Strong inter-relationship existed among z, Cτ, and σ, which can be seen by comparing Figures 1b-d.…”

Section: Characteristics Of Lake and Reservoir Subsetsmentioning

confidence: 99%

Modelling Phosphorus Retention in Lakes and Reservoirs

Hejzlar

Šámalová

Boers³

et al. 2006

Water Air Soil Pollut: Focus

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Steady-state models for the prediction of P retention coefficient (R) in lakes were evaluated using data from 93 natural lakes and 119 reservoirs situated in the temperate zone. Most of the already existing models predicted R relatively successfully in lakes while it was seriously under-estimated in reservoirs. A statistical analysis indicated the main causes of differences in R between lakes and reservoirs: (a) distinct relationships between P sedimentation coefficient, depth, and water residence time; (b) existence of significant inflow-outflow P concentration gradients in reservoirs. Two new models of different complexity were developed for estimating R in reservoirs: R ¼ 1:84C 0:5 1 þ 1:84C 0:5 ð Þ , where C is water residence time (year), was derived from the Vollenweider/Larsen and Mercier model by adding a calibrated parameter accounting for spatial P non-homogeneity in the water body, and is applicable for reservoirs but not lakes, and R ¼ 1 À 1:43 P in ½ P in ½ ð 1 þ C 0:5 ð Þ Þ 0:88 , where [P in ] is volume-weighted P concentration in all inputs to the water body (μg l −1 ), was obtained by re-calibrating the OECD general equation, and is generally applicable for both lakes and reservoirs. These optimised models yield unbiased estimates over a large range of reservoir types.

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Section: Characteristics Of Lake and Reservoir Subsetsmentioning

confidence: 99%

Modelling Phosphorus Retention in Lakes and Reservoirs

Hejzlar

Šámalová

Boers³

et al. 2006

Water Air Soil Pollut: Focus

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“…(11): presented by Lappalainen (1975). A simplified version of his model was given by Frisk et al (1981) and by Frisk (1981):…”

Section: P Loading Vs P Concentration Modelsmentioning

confidence: 99%

Empirical and theoretical models of phosphorus loading, retention and concentration vs. lake trophic state

1988

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Models describing the dependence oflake trophic state on external phosphorus loading are of two general types: empirical, steady state models derived from statistical treatment of data from large numbers of lakes, and theoretical, dynamic models based on more or less detailed mathematical descriptions of kinetics of nutrient and population dynamics.In the former type of models, inlake P concentrations have been found to depend mainly on inflow P concentrations and on water residence time. Efforts to explain the remaining variance by other factors such as iron, calcium, alkalinity, etc. have generally not been successful. Relations between lake P concentrations and chlorophyll may be useful for the prediction of maximum chlorophyll levels with some confidence but large variations in the actual chlorophyll concentrations are caused by, e.g. zooplankton grazing, varying chlorophyll content of the algae and other limiting nutrients.Dynamic, theoretical models are more suited for the prediction of rates of response to perturbations than the empirical steady state models. Due to the much larger demand for input data and labour investment, these models are generally more suited for the scientist as tools for formalizing and testing hypotheses, than for the water manager. Simple models with flexible structure generally have advantages over complex models.Both empirical and theoretical models are potentially powerful tools in eutrophication research and management. It is important for both scientists and water managers to select the optimum complexity with regard to the problem to be solved and to the resources available in each case.

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“…It is possible that in hypereutrophic lakes reduction of phosphorus loading decreases retention of nitrogen. Retention percentage of phosphorus is low in this kind of lakes and the generally applied statistical phosphorus retention formulae do not give reliable results [10]. The large lakes in the catchment of the Baltic Sea which cause most of the nutrient retention are usually oligotrophic or mesotrophic or only moderately eutrophic and the main interest of this study was in this kind of lakes in which no direct impact on phosphorus on nitrogen retention was found.…”

Section: Figurementioning

confidence: 85%

“…Average concentrations for nitrogen and phosphorus were calculated according to the CSTR description as the ratio of substance output and discharge. Frisk et al [10] noticed that the predictability of mass balance models for phosphorus is poor in highly eutrophic lakes. Even though main attention is paid to nitrogen modelling in this study it is also important that phosphorus modelling procedure is valid in the lakes of the study.…”

Section: Methodsmentioning

confidence: 99%

“…Then necessarily coefficient (2) would be dependent on phosphorus retention. Phosphorus retention is according to Canfield and Bachmann [6] and many other authors [7][8][9][10] dependent on phosphorus input into the lake and it can also be described as a function of phosphorus concentration in the lake [4,5,11,12]. Two possibilities to take into account the impact of phosphorus were studied: If reasonable functions of eqns.…”

Section: The Modelling Approachmentioning

confidence: 99%

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The effect of phosphorus on nitrogen retention in lakes

Frisk¹,

Bilaletdin²,

Kaipainen³

2006

WIT Transactions on Ecology and the Environment, Vol 95

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A hypothesis has been presented that nitrogen retention in lakes has become less efficient at the same time as phosphorus concentrations have decreased due to high phosphorus reduction in wastewater treatment. This might have led to higher loading of nitrogen into the Baltic Sea where nitrogen is considered to be the minimum nutrient. The hypothesis was tested using the mass balance modelling approach. Oligotrophic, mesotrophic and moderately eutrophic lakes situated in Finland and Sweden were used in the study. The combined approach of the classical mass balance model of Vollenweider and the statistical sedimentation model of Bachmann was used. At first the model was tested for nitrogen without any impact of phosphorus and it was concluded that this modelling approach is reasonable to study the hypothesis. If phosphorus concentration or retention affects nitrogen retention a better fit for the model of nitrogen retention can be gained when a function of phosphorus input or concentration is included in the nitrogen model of Bachmann. The results indicate that inclusion of phosphorus does not improve the fit of the model and thus it can be concluded that phosphorus can only be a minor factor in regulating nitrogen retention, at least in lakes which are not hypereutrophic.

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Comparison of statistical phosphorus-retention models

Cited by 17 publications

References 9 publications

Modelling Phosphorus Retention in Lakes and Reservoirs

Modelling Phosphorus Retention in Lakes and Reservoirs

Empirical and theoretical models of phosphorus loading, retention and concentration vs. lake trophic state

The effect of phosphorus on nitrogen retention in lakes

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