Modeling the longitudinal profiles of streamwise velocity in an open channel with a model patch of vegetation

This paper proposes a model for predicting the longitudinal profiles of streamwise velocities in an open channel with a model patch of vegetation. The governing equation was derived from the momentum equation and flow continuity equation. The model can estimate the longitudinal profiles of velocities both inside and outside a vegetation patch. Laboratory experiments indicate that the longitudinal profiles of velocities inside a patch and in the adjacent bare channel have the same adjustment distance in the longitudinal direction, but the profiles have different trends because the vegetation drag drives the flow from the patch to the adjacent bare channel. The model considers different dimensionless parameters in two flow adjustment regions upstream of and inside the patch. Sixteen sets of experimental data from different sources are used to verify the model. The model is capable of modeling the longitudinal profiles of velocities inside and outside patches of cylinders or cylinder-like plants. Compared to a previous model, the current model improves the modeling accuracy of longitudinal profiles of velocities.

     

Prediction of longitudinal dispersion coefficients in natural rivers using artificial neural network

An artificial neural network (ANN) model is developed for predicting the longitudinal dispersion coefficient in natural rivers. The model uses few rivers’ hydraulic and geometric characteristics, that are readily available, as the model input, and the target output is the longitudinal dispersion coefficient (K). For performance evaluation of the model, using published field data, predictions by the developed ANN model are compared with those of other reported important models. Based on various performance indices, it is concluded that the new model predicts the longitudinal dispersion coefficient more accurately. Sensitive analysis performed on input parameters indicates stream width, flow depth, stream sinuosity, flow velocity, and shear velocity to be the most influencing parameters for accurate prediction of the longitudinal dispersion coefficient.     

Estimation of stream temperature in firtina creek (Rize-Turkiye) using artificial neural network model

Water temperature is one of the most important environmental variables in aquatic ecosystem. Temperature changes may have positive or negative effects on organisms. High water temperatures have caused mortalities in salmonid fishes. Therefore, monitoring and prediction of potential adverse changes in water temperature is very important. Here, we have developed and tested an artificial neural network (ANN) model to predict stream temperature of Firtina Creekin Black Sea region; using local water temperature, dissolved oxygen, pH and other available meteorological data (air temperature, rainfall). Thus, enabling define suitable habitat for native Sea Trout (Salmo trutta labrax, Pallas 1811) under past drought or other adverse envIronmental conditions.     

Prediction of near-field shear dispersion in an emergent canopy with heterogeneous morphology

The evaluation of longitudinal dispersion in aquatic canopies is necessary to predict the behavior of dissolved species and suspended particles in marsh and wetland systems. Here we consider the influence of canopy morphology on longitudinal dispersion, focusing on transport before constituents have mixed over depth. Velocity and longitudinal dispersion were measured in a model canopy with vertically varying canopy density. The vertical variation in canopy morphology generates vertical variation in the mean velocity profile, which in turn creates mean-shear dispersion. We develop and verify a model that predicts the mean-shear dispersion in the near field from morphological characteristics of the canopy, such as stem diameter and frontal area. Close to the source, longitudinal dispersion is dominated by velocity heterogeneity at the scale of individual stems. However, within a distance of approximately 1 m, the shear dispersion associated with velocity heterogeneity over depth increases and eclipses this smaller-scale process.     

Compound channel flow with a longitudinal transition in hydraulic roughness over the floodplains

Flows in a compound open-channel (two-stage geometry with a main channel and adjacent floodplains) with a longitudinal transition in roughness over the floodplains are experimentally investigated in an 18 m long and 3 m wide flume. Transitions from submerged dense vegetation (meadow) to emergent rigid vegetation (wood) and vice versa are modelled using plastic grass and vertical wooden cylinders. For a given roughness transition, the upstream discharge distribution between main channel and floodplain (called subsections) is also varied, keeping the total flow rate constant. The flows with a roughness transition are compared to flows with a uniformly distributed roughness over the whole length of the flume. Besides the influence of the downstream boundary condition, the longitudinal profiles of water depth are controlled by the upstream discharge distribution. The latter also strongly influences the magnitude of the lateral net mass exchanges between subsections, especially upstream from the roughness transition. Irrespective of flow conditions, the inflection point in the mean velocity profile across the mixing layer is always observed at the interface between subsections. The longitudinal velocity at the main channel/floodplain interface, denoted \(U_{int}\), appeared to be a key parameter for characterising the flows. First, the mean velocity profiles across the mixing layer, normalised using \(U_{int}\), are superimposed irrespective of downstream position, flow depth, floodplain roughness type and lateral mass transfers. However, the profiles of turbulence quantities do not coincide, indicating that the flows are not fully self-similar and that the eddy viscosity assumption is not valid in this case. Second, the depth-averaged turbulent intensities and Reynolds stresses, when scaled by the depth-averaged velocity \(U_{d,int}\) exhibit two plateau values, each related to a roughness type, meadow or wood. Lastly, the same results hold when scaling by \(U_{d,int}\) the depth-averaged lateral flux of momentum due to secondary currents. Turbulence production and magnitude of secondary currents are increased by the presence of emergent rigid elements over the floodplains. The autocorrelation functions show that the length of the coherent structures scales with the mixing layer width for all flow cases. It is suggested that coherent structures tend to a state where the magnitude of velocity fluctuations (of both horizontal vortices and secondary currents) and the spatial extension of the structures are in equilibrium.     

Accounting for large-scale factors in the study of understory vegetation using a conditional logistic model

Local-scale and large-scale factors can affect the presence of a species of understory vegetation in the forest. Local-scale factors may be the influence of surrounding trees, while climate and latitude are typically considered large-scale factors. A model for the presence of a species needs to take into account both scales. A conditional logistic model is proposed for those studies where only the local-scale factors are of interest and that avoids estimating the large-scale parameters. Conditioning is carried out by the number of quadrats in the plot where the vegetation is found. As the latter is a sufficient statistic for the large-scale factors, a model free from these parameters is obtained. Data gathered in the permanent sample plots of the 1985–1986 National Forest Inventory of Finland is used for illustration, where the local-scale factor of interest is the influence of the trees, quantified by an index based on the size and location of the trees. The model fitted to Vaccinium vitis-idaea showed a significant and positive influence of Scots pine on the presence of this species, while for Calamagrostis arundinacea, a decrease in the odds ratio was observed due to the influence of Norway spruce.     

Experimental analysis of flow and turbulence in the wake of neighboring emergent vegetation patches with different densities

Environmental Fluid Mechanics - Patches of vegetation in natural water bodies grow close to each other and may affect each other’s wake pattern with significant implications on nutrient...     

Characteristics of flow structure of free-surface flow in a partly obstructed open channel with vegetation patch

Free-surface flows over patchy vegetation are common in aquatic environments. In this study, the hydrodynamics of free-surface flow in a rectangular channel with a bed of rigid vegetation-like cylinders occupying half of the channel bed was investigated and interpreted by means of laboratory experiments and numerical simulations. The channel configurations have low width-to-depth aspect ratio (1.235 and 2.153). Experimental results show that the adjustment length for the flow to be fully developed through the vegetation patch in the present study is shorter than observed for large-aspect-ratio channels in other studies. Outside the lateral edge of the vegetation patch, negative velocity gradient (\(\partial \overline{u}/\partial z < 0\)) and a local velocity maximum are observed in the vertical profile of the longitudinal velocity in the near-bed region, corresponding to the negative Reynolds stress (\(- \overline{{u^{\prime}w^{\prime}}} < 0\)) at the same location. Assuming coherent vortices to be the dominant factor influencing the mean flow field, an improved Spalart–Allmaras turbulence model is developed. The model improvement is based on an enhanced turbulence length scale accounting for coherent vortices due to the effect of the porous vegetation canopy and channel bed. This particular flow characteristic is more profound in the case of high vegetation density due to the stronger momentum exchange of horizontal coherent vortices. Numerical simulations confirmed the local maximum velocity and negative gradient in the velocity profile due to the presence of vegetation and bed friction. This in turn supports the physical interpretation of the flow processes in the partly obstructed channel with vegetation patch. In addition, the vertical profile of the longitudinal velocity can also be explained by the vertical behavior of the horizontal coherent vortices based on a theoretical argument.     

Development of an empirical equation for the transverse dispersion coefficient in natural streams

In this study, a new empirical equation for the transverse dispersion coefficient has been developed based on the hydraulic and geometric parameters in natural streams using a regression technique. First, a total of 32 data sets in 16 streams were collected. Among those sets, 16 sets were used for deriving the new equation, and the other 16 sets were used for verifying the equation. Then, through dimensional analysis, it was found that the normalized transverse dispersion coefficient is associated with several parameters such as sinuosity, aspect ratio, and a friction term. The robust least square method was applied to estimate regression coefficients. The newly proposed equation was proven to be superior in explaining the dispersion characteristics of natural streams more precisely compared to the existing equations.     

Influence of an artificial entrance channel on the ichthyofauna of a large estuary

The opening in April 1994 of a deep artificial entrance channel into the shallow, microtidal and large Peel-Harvey Estuary (136 km²) in south-western Australia has led to major changes in the ichthyofauna of this system. This conclusion is based on statistical comparisons between data derived from samples of fish collected seasonally by seine net in the short, narrow and shallow natural entrance channel and in two large basins of the Peel-Harvey Estuary during 1996 and 1997, i.e. after the opening of the artificial channel, and data previously recorded seasonally using the same sampling regime during 1980 and 1981, i.e. before the construction of that channel. These comparisons show that the marked reduction in macroalgal growths that occurred between these two periods was accompanied by a decline in the abundance of fish, and particularly of macrophyte-associated species such as Pelates sexlineatus and Apogon rueppellii. There were also strong indications that the number of fish species usually present in the estuary declined, which would be consistent with a reduction in habitat heterogeneity. The comparisons also imply that the construction of the artificial channel led to: (1) a decline in the extent of interannual differences in the species richness and abundance of fish, presumably reflecting a reduction in the variability of environmental conditions in different years; (2) a greater penetration of the estuary by marine species and an increased contribution of these species to the fish fauna overall; (3) the influence of "season" on the ichthyofaunal compositions of assemblages within the estuary becoming more important than region. The second and third changes reflect a combination of increased tidal flow, which facilitates a more effective dispersal of fish, the exposure of fish to stronger tidal cues, a far greater proximity of the more distal regions of the estuary to the sea and, in the case of the third change, a far less pronounced difference between environmental conditions in the two basins.     

Determination of the Manning roughness coefficient influenced by vegetation in the river Aa and Biebrza river

The aim of this study was to investigate the variation of channel bed roughness in two rivers, as important parameter in hydraulic modelling especially with regard to flood control. The universities of Ghent (UG) and Antwerp (UA) are conducting scientific research in the river Aa in Belgium and the Biebrza river in Poland in order to better understand the phenomena involved and to come to a more accurate determination of the different parameters influencing flow. In this paper, the determination of the roughness coefficient ‘n’ from the Manning equation is used. This coefficient is not easy to determine and is varying constantly. It is influenced by the meandering character of the river, the bed material and the average grain size, the channel bed forms, the channel obstructions, the geometry changes between sections and the vegetation in the channel. Furthermore, due to these parameters, the roughness of the channel is not equally distributed over the channel, the banks and the floodplains. So, using literature data does not always lead to satisfactory results, due to the different situation in the field (Werner et al. J Hydrol 314:139–157, 2005). Therefore, measurements are necessary to determine the variation of the Manning coefficient. The Manning coefficient is a function of the discharge, but will also vary over the time due to the mentioned influences. In a multidisciplinary research project on the fundamental exchange processes in river ecosystems, hydraulic measurements were performed on a regular base in the river Aa. During these measurement campaigns, velocity and discharge measurements were carried out in multiple cross-sections. Once a month, the discharge and the water levels were measured at the upstream and the downstream end of the test stretch. On the river Biebrza, similar intensive measurement campaigns took place along a 6 km stretch in the upstream part of the river. An accurate determination of the Manning coefficient according a seasonal variation is an important tool in hydraulic modelling.     

Determination of the entrainment coefficient of a pure plume using the salt-bath technique

Environmental Fluid Mechanics - The entrainment coefficient of the pure plume, the ratio of the radial velocity of the entraining fluid at the edge of the plume to the axial velocity, is...     

Estimation of kinship parameters: the island model with separate sexes

Summary Information from pedigrees provides the most accurate means of estimating relatedness within and between social groups, but the method has the disadvantage of requiring longterm breeding records. If a regular system of mating occurs, then kinship parameters may be estimated from recurrence relations which decribe the change in coancestry and inbreeding from generation to generation. Breeding records collected over a single generation are therefore sufficient. In this paper the island model is used for the derivation of general expression of the coancestry and inbreeding coefficients in a dioecious population with non-overlapping generations. An equation for the average coefficient of coancestry (f ^JJ ) within a juvenile cohort is first found, and the other coefficients are then easily obtained. Parameters required are the inbreeding effective numbers of male and female parents and the migration rates of the two sexes. — In species with overlapping generations, the average coefficient of coancestry of the juvenile cohort is not related simply by migration rates to the average coancestries of the adult classes. The difference arises because average coancestry between pairs of individuals chosen from different cohorts is not in general the same as that between pairs of the same cohort. The precise difference depends on the mating system and cohort structure of the social group. Suitable modification to the basic expression for f ^JJ is described. The use of the composite method is illustrated by reference to the social units of two large mammals: prides of lion and clans of impala.     

External drift kriging of NOx concentrations with dispersion model output in a reduced air quality monitoring network

In the mid nineteen eighties the Dutch NO_x air quality monitoring network was reduced from 73 to 32 rural and city background stations, leading to higher spatial uncertainties. In this study, several other sources of information are being used to help reduce uncertainties in parameter estimation and spatial mapping. For parameter estimation, we used Bayesian inference. For mapping, we used kriging with external drift (KED) including secondary information from a dispersion model. The methods were applied to atmospheric NO_x concentrations on rural and urban scales. We compared Bayesian estimation with restricted maximum likelihood estimation and KED with universal kriging. As a reference we also included ordinary least squares (OLS). Comparison of several parameter estimation and spatial interpolation methods was done by cross-validation. Bayesian analysis resulted in an error reduction of 10 to 20% as compared to restricted maximum likelihood, whereas KED resulted in an error reduction of 50% as compared to universal kriging. Where observations were sparse, the predictions were substantially improved by inclusion of the dispersion model output and by using available prior information. No major improvement was observed as compared to OLS, the cause presumably being that much good information is contained in the dispersion model output, so that no additional spatial residual random field is required to explain the data. In all, we conclude that reduction in the monitoring network could be compensated by modern geostatistical methods, and that a traditional simple statistical model is of an almost equal quality.

Laboratory-made artificial marine snow: a biological model of the real thing

Cylindrical tanks of unfiltered seawater were rotated on a roller table until the particles in the seawater formed aggregates resembling marine snow. During the summer of 1987 comparisons were made between marine snow in field samples from two coastal sites on seven separate dates, and aggregates formed in the laboratory in seawater samples taken on the same dates. Aggregates in field and laboratory samples were photographed and their dimensions were determined. Particulate composition of the aggregates was characterized by the abundance of diatoms, benthic diatoms, diatom frustules, mineral grains, fecal pellets, and fungal spores. Laboratory-prepared aggregates had a significantly greater short axis, and significantly larger calculated volume than field aggregates. Particulate compositions of field aggregates were paralleled by similar changes in the laboratory product. Dry weights of known numbers of aggregates collected on three dates indicated no significant differences in calculated densities or porosities of marine snow formed in the field and in the laboratory. We suggest that this method of forming marine snow in the laboratory may provide researchers with a useful experimental tool.     

Estimation of the density of a clustered point pattern using a distance method

Distance-based methods use point-to-point distances or random-location-to-point distances in a cloud of points to estimate characteristics of the point pattern. One such characteristics is the density of points. The difficulty with distance-based density estimators is that their distribution depends on the spatial pattern of points. In particular, the distribution of distances is untractable for usual clustered patterns, that are often observed in natural systems. Here, we propose a density estimator for clustered patterns, based on the random-location-to-pth-point distance X _p . An approximate expression for the distribution function, F _p , of X _p was obtained by identifying the first two moments of the count of individuals in disks for a given point process with the first two moments of a negative binomial distribution. The approximate expression of F _p was then used to derive a maximum-likelihood estimator of the intensity of the point process. The quality of the approximation of F _p was assessed for homogeneous Poisson processes (for which the expression of F _p is exact) and for Matérn processes. The intensity estimator based on Matérn processes was then used to estimate tree density in a tree savanna in Mali, and it compared favorably with six robust estimators found in the literature.     

Assessment of spatial distribution of submerged vegetation in the Orbetello lagoon by means of a mathematical model

Coastal lagoons are characterized by a constant threat of eutrophication and a critical coexistence of differing submerged vegetation forms. This paper investigates the competitive equilibrium of macroalgae and phanerogams in the Orbetello lagoon in relation to physico-chemical and environmental factors, including wind, nutrients in the water column, and sediment characteristics. A mathematical model describing the evolution of the submerged vegetation as a function of the abiotic parameters is used here in conjunction with specific experimental studies to explain the relationship between phanerogams (seagrasses) prairie expansion, water movements, and sediment characteristics. The combination of specific sediment sampling and mathematical modelling shows that water circulation and the state of the upper sediment are both dominant factors in determining the phanerogams distribution in the lagoon and the mutually exclusive growth of these groups in differing parts of the lagoon. Water currents control the distribution of floating macroalgae, resulting in an uneven accumulation of decomposing biomass and phanerogams seed dispersal. The oxygenation provided by the rooted phanerogams affects the sediment characteristics, making them suitable for further prairie expansion. In addition to sediment analysis the use of a mathematical model combining the hydrodynamics and the water quality of the lagoon provides a thorough explanation of the expansion of the rooted vegetation in critical areas. A further result of this research is the validation of the model, originally calibrated with the lagoon central stations’ data, with the newly acquired data from several other parts of the ecosystem. The model predictions are in good agreement with the field observations under a number of environmental conditions and explain the observed expansion trend of phanerogams, which are beneficial for the lagoon ecology, more thoroughly than by relying on the sediment observations alone.     

Investigation of the flow structures through heterogeneous vegetation of varying patch configurations in an open channel

Environmental Fluid Mechanics - The hydrodynamics of flow passing through heterogeneous vegetation configurations is always complex and it becomes difficult to capture the flow structures through...     

Sensitivity of atmospheric dispersion simulations by HYSPLIT to the meteorological predictions from a meso-scale model

Mesoscale transport and dispersion of air pollutants from a few major point sources in the Mississippi Gulf coastal region is calculated using a coupled modeling system consisting of the atmospheric dynamical model WRF and the lagrangian particle model HYSPLIT. The sensitivity of the dispersion model results to the meteorological fields is studied by conducting an ensemble of simulations using the WRF model for the same dispersion case. Several parameterization schemes for the physical processes of boundary layer turbulence and land surface temperature/moisture prediction in WRF are used in various combinations to produce different meteorological members which are then used for dispersion simulation. The uncertainty in the simulated concentration probabilities to the meteorological model configurations and the ensemble mean are presented. The parameters used for determining the uncertainties include the wind fields, temperature, area of concentration and the levels of concentration. The results indicate that dispersion model results are influenced by the choices made in respect of the planetary boundary layer and land surface schemes in the mesoscale model to produce the meteorological forecast thereby leading to certain amount of uncertainty in the resultant concentrations. Results show that the specific choices made about the atmospheric model configuration can significantly after the simulated concentrations.