Abstract
Stream ecology may be influenced by the temporary trapping of solutes in geomorphologic structures, which is usually quantified by fitting the Transient Storage Model to tracer data. This paper explores the relationships between the parameters of this model and those of two simpler models, namely the Advection-Dispersion Model and the Aggregated Dead Zone model. It is motivated by the possibility of obtaining more reliable transient storage parameter values by correlating them with the parameters of the other models instead of evaluating them directly. Results were obtained by fitting all three models to a set of tracer data from mountain streams, predominantly in Iceland. Some strong correlations were found between some of the parameters of the transient storage model and the advection-dispersion model, but no strong correlations were found between the parameters of the transient storage model and the aggregated dead zone model. For all three models, combinations of the optimized parameters correctly described the bulk movement of the solute cloud, giving confidence in the optimized parameters.
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References
Beer T, Young PC (1983) Longitudinal dispersion in natural streams. J Env Eng Am Soc Civ Eng 109:1049–1067
Bencala KE, Walters RA (1983) Simulation of solute transport in a mountain pool-and-rifle stream: a transient storage model. Water Resour Res 19:718–724
Bottacin-Busolin A, Marion A, Musner T, Tregnaghi M, Zaramella M (2011) Evidence of distinct contaminant transport patterns in rivers using tracer tests and a multiple domain retention model. Adv Water Resour 34:737–746
Burnham KP, Anderson DR (2002) Model selection and multimodel inference: a practical information-theoretic approach, 2nd edn. Springer
Czernuszenko W, Rowinski PM (1997) Properties of the dead-zone model of longitudinal dispersion in rivers. J Hydraul Res 35:491–504
D’Angelo DJ, Webster JR, Gregory SV, Meyer JL (1993) Transient storage in Appalachian and Cascade mountain streams as related to hydraulic characteristics. J N Am Benthol Soc 12:223–235
Day TJ (1975) Longitudinal dispersion in natural channels. Water Resour Res 11:909–918
Demars BOL, Manson JR, Olafsson JS, Gislason GM, Friberg N (2011a) Stream hydraulics and temperature determine the metabolism of geothermal Icelandic streams. Knowl Manag Aquat Ecosyst 402:05
Demars BOL, Manson JR, Olafsson JS, Gislason GM, Gudmundsdottir R et al (2011b) Temperature and the metabolic balance of streams. Freshwater Biol 56:1106–1121
Deng Z-Q, Jung H-S, Ghimire B (2010) Effect of channel size on solute residence time distributions in rivers. Adv Water Resour 33:1118–1127
Elder JW (1959) The dispersion of marked fluid in turbulent shear flow. J Fluid Mech 5:544–560
Elliott AH, Brooks NH (1997) Transfer of nonsorbing solutes to a streambed with bedforms: theory. Water Resour Res 33:123–136
Fischer HB (1967) The mechanics of dispersion in natural streams. J Hydraul Div Proc Am Soc Civ Eng 93:187–216
Friberg N, Dybkjaer JB, Olafsson JS, Gislason GM, Larsen SE, Lauridsen TL (2009) Relationships between structure and function in streams contrasting in temperature. Freshwater Biol 54:2051–2068
Gooseff MN, Wondzell SM, Haggerty R, Anderson J (2003) Comparing transient storage modeling and residence time distribution (RTD) analysis in geomorphically varied reaches in the Lookout Creek basin, Oregon, USA. Adv Water Resour 26:925–937
Green HM, Beven KJ, Buckley K, Young PC (1994) Pollution prediction with uncertainty. In: Beven K, Chatwin P, Millbank J (eds) Mixing and Transport in the Environment. Wiley, pp 113–137
Gudmundsdottir R, Olafsson JS, Palsson S, Gislason GM, Moss B (2011) How will increased temperature and nutrient enrichment affect primary producers in sub-Arctic streams? Freshwater Biol 56:2045–2058
Guymer I (2002) A national database of travel time, dispersion and methodologies for the protection of river abstractions. Research and Development Technical Report P346, Environmental Agency of England and Wales
Hannesdottir ER, Gislason GM, Olafsson JS, Olafsson OP, O’Gorman EJ (2013) Increased stream productivity with warming supports higher trophic levels. In: Woodward G, O’Gorman EJ (eds) Advances in Ecological Research: Global Change in Multispecies Systems, Pt 3. Academic Press, pp 285–342
Heron AJ (2015) Pollutant transport in rivers: estimating dispersion coefficients from tracer experiments. MPhil Thesis, Heriot-Watt University
Lees MJ, Camacho LA, Chapra S (2000) On the relationship of transient storage and aggregated dead zone models of longitudinal solute transport in streams. Water Resour Res 36:213–224
Manson JR, Wallis SG (1999) A conservative semi-Lagrangian algorithm for solute transport in steady non-uniform flows in rivers. J Env Eng Proc Am Soc Civ Eng 125:486–489
Manson JR, Wallis SG (2000) A conservative semi-Lagrangian fate and transport model for fluvial systems: Part 1 – Theoretical development. Water Res 34:3769–3777
Manson JR, Wallis SG, Hope D (2001) A conservative semi-Lagrangian transport model for rivers with transient storage zones. Water Resour Res 37:3321–3330
Manson JR, Demars BOL, Wallis SG (2011) Integrated experimental and computational hydraulic science in a unique natural laboratory. In: Rowinski P (ed) Experimental and computational solutions of hydraulic problems. Springer, pp 123–131
Nordin CF, Sabol GV (1974) Empirical data on longitudinal dispersion in rivers. US GS Water Resources Investigations 20–74
O’Gorman EJ, Pichler DE, Adams G, Benstead JP, Cohen H, Craig N et al (2012) Impacts of warming on the structure and functioning of aquatic communities: individual to ecosystem level responses. Adv Ecol Res 47:81–176
O’Gorman EJ, Benstead JP, Cross WF, Friberg N, Hood JM, Johnson PW et al (2014) Climate change and geothermal ecosystems: natural laboratories, sentinel systems, and future refugia. Glob Change Biol 20:3291–3299
Press, W.H., Teukolsky, S.A., Vetterling,W.T., and Flannery,B.P. (1992) Numerical recipes in C: the art of scientific computing, 2nd edn. Cambridge University Press
Rasmussen JJ, Baattrup-Pedersen A, Riis T, Friberg N (2011) Stream ecosystem properties and processes along a temperature gradient. Aquat Ecol 45:231–242
Rutherford JC (1994) River Mixing. Wiley
Shaw EM, Beven KJ, Chappell NA, Lamb R (2011) Hydrology in Practice, 4th edn. Spon Press
Taylor GI (1954) The dispersion of matter in turbulent flow through a pipe. Proc R Soc Lond A 233:446–468
Thackston EL, Krenkel PA (1967) Longitudinal mixing in natural streams. J Sanit Eng Div Proc Am Soc Civ Eng 93:67–90
Wagener T, Camacho LA, Wheater HS (2002) Dynamic identifiability analysis of the transient storage model for solute transport in rivers. J Hydroinform 4:199–211
Wagner BJ, Harvey JW (1997) Experimental design for estimating parameters of rate-limited mass transfer: analysis of stream tracer studies. Water Resour Res 33:1731–1741
Wallis SG (1994) Simulation of solute transport in open channel flow. In: Beven K, Chatwin P, Millbank J (eds) Mixing and Transport in the Environment. Wiley, pp 89–111
Wallis SG, Manson JR (2004) Methods for predicting dispersion coefficients in rivers. Proc Inst Civ Eng Water Man 157:131–141
Wallis SG, Young PC, Beven KJ (1989) Experimental investigation of the aggregated dead zone model for longitudinal solute transport in stream channels. Proc Inst Civ Eng 87(2):1–22
Wallis SG, Manson JR, Filippi L (1998) A conservative semi-Lagrangian algorithm for one-dimensional advection-diffusion. Commun Numer Meth Eng 14:671–679
Wallis SG, Osuch M, Manson JR, Romanowicz R, Demars BOL (2013) On the estimation of solute transport parameters for rivers. In: Rowinski P (ed) Experimental and Computational Solutions of Hydraulic Problems. Springer, pp 415–425
Woodward G, Dybkjaer JB, Olafsson JS, Gislason GM, Hannesdottir ER, Friberg N (2010) Sentinel systems on the razor’s edge: effects of warming on Arctic geothermal stream ecosystems. Global Change Biol 16:1979–1991
Worman A (1998) Analytical solution and timescale for transport of reacting solutes in rivers and streams. Water Resour Res 34:2703–2716
Worman A (2000) Comparison of models for transient storage of solutes in small streams. Water Resour Res 36:455–468
Worman A, Wachniew P (2007) Reach scale and evaluation methods as limitations for transient storage properties in streams and rivers. Water Resour Res 43:W10405. doi:10.1029/2006WR005808
Young PC (1984) Recursive estimation and time series analysis: an introduction. Springer Verlag
Young PC, Wallis SG (1985) Recursive estimation: A unified approach to the identification, estimation and forecasting of hydrological systems. Appl Math Comp 17:299–334
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Manson, J.R. et al. (2016). A Comparison of Three Solute Transport Models Using Mountain Stream Tracer Experiments. In: Rowiński, P., Marion, A. (eds) Hydrodynamic and Mass Transport at Freshwater Aquatic Interfaces. GeoPlanet: Earth and Planetary Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-27750-9_7
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