From the Proceedings of the 1971 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - April 22-23, 1971, Tempe, Arizona / In order to construct a simulation model for ephemeral streamflow and to examine in depth the problem of the worth of data for that model, measurements of the ephemeral streamflow of Rillitto creek, Tucson, were analyzed for the period 1933-1965. The simulation model was based on several hypotheses: (1) flow durations and their succeeding dry periods (time when no flow is present) are independent; (2) the distribution of the lengths of the dry periods and flows is stationary over a certain period of the year (summer); (3) stationary probability distributions for flow durations and for dry period lengths can be derived. A related problem was how to derive a simulation model for the total amount of flow (in acre-ft) within 1 flow period. Three variables were considered: flow duration (minutes), peak intensity of flow (cu ft/sec) and antecedent dry period-minutes (ADP). Because the assumption of variance constancy does not hold, a multiplicative regression model was used. Using an analysis of variance, which is described in detail, the worth of the 3 kinds of data were examined in relation to total flow. It was concluded that there are at least 5 times during the year when the flow intervals differ significantly, and the ADP is not important in determining flow volume because of the poison flow arrival rate in summer. Events occur at random and are not clustered as in summer, indicating that channel moisture does not differ much between flow events.

From the Proceedings of the 1972 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - May 5-6, 1972, Prescott, Arizona / The use of discrete conditional dependency matrices as input to stochastic decision models is examined. Some of the problems and initial assumptions involved with the construction of the above mentioned matrices are discussed. Covered in considerable detail is the transform used to relate the gamma space with the normal space. A new transform is introduced that should produce reasonable results when the record of streamflow (data) has a highly skewed distribution. Finally, the possibility of using the matrices to provide realistic inputs to a stochastic dynamic program is discussed.

From the Proceedings of the 1972 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - May 5-6, 1972, Prescott, Arizona / Mathematical models, requiring substantial data, of hydrologic and water resources systems are under intensive investigation. The processes of data analysis and model building are interrelated so that models may be used to forecast for scientific reasons or decision making. Examples are drawn from research on modeling aquifers, watersheds, streamflow and precipitation in Arizona. Classes of problems include model choice, parameter estimates, initial condition, input identification, forecasting, valuation, control, presence of multiple objectives, and uncertainty. Classes of data analysis include correlation methods, system identification, stationarity, independence or randomness, seasonality, event based approach, fitting of probability distributions, and analysis for runs, range and crossing levels. Time series, event based and regression methods are reviewed. The issues discussed are applied to tree-ring analyses, streamflow gaging stations, and digital modeling of small watersheds and the Tucson aquifers.

From the Proceedings of the 1972 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - May 5-6, 1972, Prescott, Arizona / An average of 6 to 13 streamflows from intense summer convective storms occurs annually in the walnut gulch experimental station, 58 square miles in southeastern Arizona. Flows last generally less than 6 hours, and the channels are dry 99 percent of the time. The limiting factors imposed by the geology and geomorphology of the channel to transmission losses of a 6 square mile channel in the station are described. The Precambrian to quaternary geology is outlined, and geomorphology of the channels are described. Volume, porosity and specific yield of alluvium were determined. There is 106 acre-feet of alluvium with a mean specific yield of 28 percent, and a maximum water absorbing capacity of 29 acre-feet or 7 acre-feet per mile of reach. Channel slope is insensitive to changes in geological material beneath it or to changes in flow regime. Channel cross section is highly sensitive to geology and flow regime. Transmission losses were highly correlated to volume of inflow.

From the Proceedings of the 1972 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - May 5-6, 1972, Prescott, Arizona / Almost all runoff from semiarid rangeland watersheds in southern Arizona results from intense highly variable thunderstorm rainfall. Abstractions, or transmission losses, are important in diminishing streamflow, supporting riparian vegetation and providing natural groundwater recharge. A flood routing procedure is developed using data from the walnut gulch experimental watershed, where flood movement and transmission losses are represented by a system using storage in the channel reach as a state variable which determines loss rates. Abstractions are computed as a cascade of general components in linear form. Wide variation in the parameters of this linear model with increasing inflow indicates that a linear relation between losses and storage is probably incorrect for ephemeral channels.

From the Proceedings of the 1974 Meetings of the Arizona Section - American Water Resources Assn. and the Hydrology Section - Arizona Academy of Science - April 19-20, 1974, Flagstaff, Arizona / Semiarid environments exhibit certain hydrologic characteristics which must be taken into consideration for the effective modeling of the behavior of catchments in these areas. Convective storms, which cause most of the runoff, occur in high intensity and short duration during the summer months and are highly localized so that only a small portion of the catchment actually contributes flow to the storm hydrograph. Also, streams in semiarid catchments are ephemeral with flow occurring only about 1 percent of the time. This study attempts to develop a simple synthetic catchment model that reflects these features of the semiarid environment and for which (1) the simplifying assumptions do not preclude the inclusion of the important components of the runoff process, and (2) parameters of the equations representing the component processes have physical interpretation and are obtainable from basin characteristics so that the model may be applicable to ungaged sites. A reductionist approach is then applied in which the entire catchment is subdivided into a finite number of meshes and the various components of the runoff phenomenon are delineated within each mesh as independent functions of the catchment. Simplified forms of the hydrodynamic equations of flow are used to route flow generated from each mesh to obtain a complete hydrograph at the outlet point.

In common with other natural systems, aquatic ecosystems provide a wealth of economically valuable services and long-term benefits to society. However, growing human populations, coupled with increased aspirations for improved quality of life, have lead to intense pressure on the world's finite freshwater resources. Frequently, particularly in developing countries, there are both perceived and genuine incompatibilities between ecological and societal needs for freshwater. Environmental Flow Assessment (EFA) is essentially a tool for water resources management and its ultimate goal should be the integration of ecological and societal systems. While other ecological components (i.e. biological and geomorphological) are equally important to EFA, this thesis investigates the role of the hydrological cycle and the hydrological regime in providing the ecosystem goods and services upon which society depends. Ecological and societal systems operate at different temporal, spatial and organisational scales and hydronomic zoning or sub-zoning is proposed as an appropriate water resources management technique for matching these different scales. A major component of this thesis is a review of the South African water resources management framework and, in particular, the role of the Reserve (comprising a basic human right to survival water as well as an ecological right of the aquatic resource to maintain ecological functioning) in facilitating ecologically sustainable water resources management. South African water resources management is in the early stages of water allocation reform and the Department of Water Affairs and Forestry has stated that "the water allocation process must allow for the sustainable use of water resources and must promote the efficient and non-wasteful use of water". Thus, new ways of approaching the compromise between ecological and societal needs for freshwater water are required. This thesis argues that this requires that the focus of freshwater ecosystems be extended beyond the aquatic resource, so that societal activities on the catchment are linked to the protection of instream flows. Streamflow variability plays a major role in structuring the habitat templates that sustain aquatic and riparian ecological functioning and has been associated with increased biodiversity. Biodiversity and societal well-being are interlinked. However, there is a need in EFA for knowledge of the most influential components of the streamflow regime in order that stakeholders may anticipate any change in ecosystem goods and services as a result of their disruption to the hydrological cycle. The identification of high information hydrological indicators for characterising highly variable streamflow regimes is useful to water resources management, particularly where thresholds of streamflow regime characteristics have ecological relevance. Several researchers have revisited the choice of hydrological indices in order to ascertain whether some indices explain more of the hydrological variability in different aspects of streamflow regimes than others. However, most of the research relating to hydrological indices has focused primarily on regions with temperate climates. In this thesis multivariate analysis is applied to a relatively large dataset of readily computed ecologically relevant hydrological indices (including the Indicators of Hydrological Alteration and the South African Desktop Reserve Model indices) extracted from long-term records of daily flows at 83 sites across South Africa. Principal Component Analysis is applied in order to highlight general patterns of intercorrelation, or redundancy, among the indices and to identify a minimum subset of hydrological indices which explain the majority of the variation among the indices of different components of the streamflow regimes found in South Africa. The results indicate the value of including several of the IHA indices in EFAs for South African rivers. Statistical analysis is meaningful only when calculated for a sufficiently long hydrological record, and in this thesis the length of record necessary to obtain consistent hydrological indices, with minimal influence of climatic variation, is investigated. The results provide a guide to the length of record required for analysis of the high information hydrological indices representing the main components of the streamflow regime, for different streamflow types. An ecosystem-based approach which recognises the hydrological connectivity of the catchment landscape in linking aquatic and terrestrial systems is proposed as a framework for ecologically sustainable water resources management. While this framework is intended to be generic, its potential for application in the South African Water Allocation Reform is illustrated with a case study for the Mkomazi Catchment in KwaZulu-Natal. Hydronomic sub-zoning, based on the way in which societal activities disrupt the natural hydrological processes, both off-stream and instream, is applied to assess the incompatibilities between societal and ecological freshwater needs. Reference hydrological, or pre-development, conditions in the Mkomazi Catchment are simulated using the ACRU agrohydrological model. Management targets, based on the statistical analysis of pre-development streamflow regimes, are defined to assess the degree of hydrological alteration in the high information hydrological indices of the Mkomazi Catchment as a result of different societal activities. Hydrological alteration from predevelopment conditions is assessed using the Range of Variability Approach. The results indicate that the proposed framework is useful to the formulation of stakeholder-based catchment management plans. Applying hydrological records (either observed or simulated) as an ecological resource is highly appropriate for assessing the variability that ecosystems need to maintain the biodiversity, ecological functioning and resilience that people and society desire. / Thesis (Ph.D.)-University of KwaZulu-Natal, Pietermaritzburg, 2006.

Many techniques have been developed over the years in first world countries for the estimation of flood hydrographs from small catchments for application in design, management and operations of water related issues. However, relatively little attention has been directed towards the transfer and adaptation of such techniques to developing countries in which major hydrological decisions are crucially needed, but in which a scarcity of quality hydrological data often occurs. As a result, hydrologists and engineers in developing countries are frequently unable to alleviate the problems that extreme rainfall events can create through destructive flood flows or, alternatively, they do not possess the appropriate tools with which to design economically viable hydraulic structures. Eritrea is a typical example of a developing country which faces difficulties in regard to the adaptation of an appropriate design flood estimation technique for application on small catchments. As a result, the need has arisen to adapt a relatively simple and robust design flood model that can aid hydrologists and engineers in making economic and safe designs of hydraulic structures in small catchments. One objective of this study was, therefore, to review approaches to hydrological modelling and design flood estimation techniques on small catchments, in order to identify the barriers regarding their adaptation, as well as to assist in the selection of an appropriate technique for application, in Eritrea. The southern African adaptation of the SCS (i.e. Soil Conservation Service) design hydrograph technique, which has become a standard method for design flood estimation from small catchments in that region, was selected for application on small catchments in Eritrea for several reasons. It relies on the determination of a simple catchment response index in the form of an initial Curve Number (CN), which reflects both the abstraction characteristics and the non-linear stormflow responses of the catchment from a discrete rainfall event. Many studies on the use of SCS-based hydrological models have identified that adjustment of the initial CN to a catchment's antecedent soil moisture (ASM) to be crucial, as the ASM has been found to be one of the most sensitive parameters for accurate estimates of design flood volumes and peak discharges. In hydrologically heterogeneous regions like Eritrea, the hypothesis was postulated that simulations using a suitable soil water budgeting procedure for CN adjustment would lead to improved estimates of design flood volumes and peak discharges when compared with adjustments using the conventional SCS antecedent moisture conditions (SCS-AMC) method. The primary objective of this dissertation was to develop a surrogate methodology for the soil water budgeting procedure of CN adjustment, because any direct applications of soil water budgeting techniques are impractical in most parts of Eritrea owing to a scarcity of adequate and quality controlled hydrological information. It was furthermore hypothesised that within reasonably similar climatic regions, median changes in soil moisture storage from the socalled "initial" catchment soil moisture conditions, i.e. LIS, were likely to be similar, while between different climatic regions median LISs were likely to be different. Additionally, it was postulated that climatic regions may be represented by a standard climate classification system. Based on the above hypotheses, the Koppen climate classification, which can be derived from mean monthly rainfall and temperature information, was first applied to the 712 relatively homogeneous hydrological response zones which had previously been identified in southern Africa. A high degree of homogeneity of median values of LIS, derived by the daily time step ACRU soil moisture budgeting model, was observed for zones occurring within each individual Koppen climate class (KCC) - this after a homogeneity test had been performed to check if zones falling in a specific KCC had similar values of median LIS. Further assessment within each KCC found in southern Africa then showed that a strong relationship existed between LIS and Mean Annual Precipitation (MAP). This relationship was, however, different between KCCs. By developing regression equations, good simulations of median LIS from MAP were observed in each KCC, illustrating the potential application of the Koppen climate classification system as an indicator of regional median LIS, when only very basic monthly climatological information is available. The next critical task undertaken was to test whether the estimate of median LIS from MAP by regression equation for a specific Koppen climate class identified in southern Africa would remain similar for an identical Koppen climatic region in Eritrea. As already mentioned, LIS may be determined from daily time step hydrological soil moisture budget models such as ACRU model. The performance of the ACRU stormflow modelling approach was, therefore, first verified on an Eritrean gauged research catchment, viz. the Afdeyu, in order to have confidence in the use of values of LIS generated by it. A SCS-ACRU stormflow modelling approach was then tested on the same catchment by using the new approach of CN adjustment, termed the ACRU-Koppen method, and results were compared against stormflow volumes obtained using the SCS-AMC classes and the Hawkins' soil water budgeting procedures for CN adjustment, as well as when CNs remain unadjusted. Despite the relatively limited level of information on climate, soils and land use for the Afdeyu research catchment, the ACRU model simulated both daily and monthly flows well. By comparing the outputs generated from the SCS model when using the different methods of CN adjustment, the ACRU-Koppen method displayed better levels of performances than either of the other two SCS-based methods. A further statistical comparison was made among the ACRU, the SCS adjusted by ACRU-Koppen, the SCS adjusted by AMC classes and the unadjusted SCS models for the five highest stormflows produced from the five highest daily rainfall amounts of each year on the Afdeyu catchment. The ACRU model produced highly acceptable statistics from stormflow simulations on the Afdeyu catchment when compared to the SCS-based estimates. In comparing results from the ACRU-Koppen method to those from the SCS-AMC and unadjusted CN methods it was found that, statistically, the ACRU-Koppen performed much better than either of the other two SCS based methods. On the strength of these results the following conclusions were drawn: • Changes in soil moisture storage from so-called "initial" catchment soil moisture conditions, i.e. L1S, are similar in similar climatic regions; and • Using the ACRU-Koppen method ofCN adjustment, the SCS-SA model can, therefore, be adapted for application in Eritrea, for which Koppen climates can be produced from monthly rainfall and temperature maps. Finally, future research needs for improvements in the SCS-ACRU-Koppen (SAK) approach in light of data availability and the estimation ofL1S were identified. From the findings of this research and South African experiences, a first version of a "SCSEritrea" user manual based on the SAK modelling approach has been produced to facilitate its use throughout Eritrea. This user manual, although not an integral part of this dissertation, is presented in its entirety as an Appendix. A first Version of the SCS-Eritrea software is also included. / Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2004.

Over the last decades, fast growing population along with urban and agricultural sprawl has drastically increased the pressure on water resources of the Federal District (DF), Brazil. Various socio-environmental problems, such as soil erosion, non-point source pollution, reservoir silting, and conflicts among water users evoked the need for more efficient and sustainable ways to use land and water. Due to the complexity of processes relevant at the scale of river basins, a prior analysis of impacts of certain land use and/or land management changes is only feasible by means of modeling. The Soil and Water Assessment Tool (SWAT) has been proven to be useful in this context, across the globe and for different environmental conditions. In this thesis, the SWAT model is utilized to evaluate the impact of Best Management Practices (BMPs) on catchment hydrology and sediment transport. However, model applications in tropical regions, such as the DF, are hampered by severe challenges, (i) the lack of input and control data in an adequate temporal and spatial resolution and (ii) model structural failures in representing processes under tropical conditions. The present (cumulative) thesis addresses these challenges in model simulations for two contrasting watersheds, which both are important sources of the DF’s drinking water supply, i.e. (i) the agriculture-dominated Pipiripau river basin where conflicting demands put immense pressure on the available water resources and (ii) the Santa Maria / Torto river basin, which is to large parts protected as national park and, thus, covered by native vegetation of the Cerrado biome. Perhaps one of the most challenging issues facing watershed modelers in tropical regions is the fact that rain gauge networks can usually not reflect the high spatio-temporal variability of mostly convective precipitation patterns. Therefore, an ensemble of different reasonable input precipitation data-sets was used to examine the uncertainty in parameterization and model output. Acceptable streamflow and sediment load predictions could be achieved for each input data-set. However, the best-fit parameter values varied widely across the ensemble. Due to its enhanced consideration of parameter uncertainty, this ensemble approach provides more robust predictions and hence is reasonable to be used also for scenario simulations. BMP scenarios for the Pipiripau River Basin revealed that erosion control constructions, such as terraces and small retention basins along roads (Barraginhas) are promising measures to reduce sediment loads (up to 40%) while maintaining streamflow. Tests for a multi-diverse crop rotation system, in contrast, showed a high vulnerability of the hydrologic system against any increase in irrigation. Considering the BMP implementation costs, it was possible to estimate cost-abatement curves, which can provide useful information for watershed managers, especially when BMPs are supported by Payments for Environmental Services as it is the case in the study area due to the program Produtor de Água. While for agricultural areas the model has proven to generate plausible results, the plant growth module of SWAT was found to be not suitable for simulating perennial tropical vegetation, such as Cerrado (savanna) or forest, which can also play a crucial role in river basin management. For temperate regions SWAT uses dormancy to terminate growing seasons of trees and perennials. However, there is no mechanism considered to reflect seasonality in the tropics, i.e. the phenological change between wet and dry season. Therefore, a soil moisture based approach was implemented into the plant growth module to trigger new growing cycles in the transition period from dry to wet season. The adapted model was successfully tested against LAI and ET time series derived from remote sensing products (MODIS). Since the proposed changes are process-based but also allow flexible model settings, the modified plant growth module can be seen as a fundamental improvement useful for future model application in the tropics. The present thesis shows insights into the workflow of a watershed model application in the semi-humid tropics – from input data processing and model setup over source code adaptation, model calibration and uncertainty analysis to its use for running scenarios. It depicts region-specific challenges but also provides practical solutions. Hence, this work might be seen as one further step toward robust and process-based model predictions to assist land and water resources management. / Starkes Bevölkerungswachstum, ungeplante Suburbanisierung und Landnutzungsänderungen (z.B. Intensivierung in der Landwirtschaft) verstärkten innerhalb der letzten Jahrzehnte zunehmend den Druck auf die Wasserressourcen des Bundesdistrikts Brasilien (zentralbrasilianisches Hochland), in dessen Mitte die junge Hauptstadt Brasília liegt. Damit verbundene negative Umweltauswirkungen, wie Bodenerosion, Stoff- und Sedimenteinträge in Fließgewässer und Talsperren sowie Konflikte zwischen den Wassernutzern erfordern daher dringend effektive und nachhaltige Lösungen im Land- und Wasserressourcen-management. Der Einfluss von möglichen zukünftigen Landnutzungs- und Bewirtschaftungsänderungen auf Wasserverfügbarkeit und -qualität hängt vom jeweiligen, oftmals sehr komplexen, landschaftsökologischen Prozessgefüge ab und kann nur mithilfe von prozessbasierten Simulationsmodellen quantitativ auf der Ebene von Einzugsgebieten abgeschätzt werden. Das “Soil and Water Assessment Tool” (SWAT) ist ein solches Modell. Es findet weltweite Anwendung für verschiedene Umweltbedingungen in Einzugsgebieten der Meso- bis Makroskala, um Landnutzungseffekte auf den Wasserhaushalt und den Transport von Nährstoffen, Pestiziden und Sedimenten zu prognostizieren. Seine Anwendung in tropischen Regionen, wie etwa in Zentralbrasilien, ist jedoch mit erheblichen Herausforderungen verbunden. Das betrifft sowohl die Verfügbarkeit von Eingangs- und Referenzdaten in ausreichender raum-zeitlicher Auflösung, als auch modellstrukturelle Unzulänglichkeiten bei der Prozessabbildung. Die vorliegende kumulative Dissertation zeigt dies anhand von Modellanwendungen für zwei unterschiedliche wasserwirtschaftlich relevante Einzugsgebiete (EZG): Das landwirtschaftlich intensiv genutzte EZG des Rio Pipiripau mit aktuell besonders konfliktträchtiger Wassernutzung, und das Santa Maria/Torto-EZG, welches - geschützt als Nationalpark - durch größtenteils natürliche Vegetationsformationen der brasilianischen Savanne (Cerrado) gekennzeichnet ist. Eine der größten Herausforderungen für die Einzugsgebietsmodellierung in tropischen Regionen liegt in der Abschätzung des Gebietsniederschlages, da vorhandene Messstationsdichten oft nicht ausreichen, um die hohe räumliche und zeitliche Variabilität der meist konvektiven Niederschläge zu erfassen. Mithilfe eines Ensembles verschiedener, plausibel generierter Niederschlagsreihen ist der Einfluss von Niederschlagsdaten-Unsicherheit auf die Modellparametrisierung und -vorhersage explizit berücksichtigt und untersucht worden. Zufriedenstellende Abfluss- und Sedimentfrachtsimulationen waren mit jeder der als Modelinput verwendeten Niederschlagsreihen möglich, jedoch nur bei entsprechender, z.T. stark voneinander abweichender Einstellung der Kalibrierungsparameter. Da diese umfassendere Betrachtung von Parameterunsicherheit zu robusteren Modellvorhersagen führt, wurde der Ensemble-Ansatz auch in der Simulation von Bewirtschaftungsszenarien, dem eigentlichen Modellzweck, verwendet. Die Szenariosimulationen zeigten, dass Maßnahmen zur Erosionsvermeidung (Terrassierung) und zum Sedimentrückhalt (kleine Sedimentrückhaltebecken entlang von Straßen - Barraginhas) die Sedimentfracht des Rio Pipiripau durchschnittlich um bis zu 40% reduzieren können, ohne dabei die Wasserverfügbarkeit zu beeinträchtigen. Modellszenarien mit einer vielgliedrigen Fruchtfolge auf großer Fläche verdeutlichten dagegen die hohe Vulnerabilität des Niedrigwasserabflusses in der Trockenzeit gegenüber jedweder Erhöhung der Bewässerungsmenge. Auf Grundlage von Kostenschätzungen für einzelne Maßnahmen konnten Kostenkurven zur Verringerung der Sedimentfracht und damit nützliche Informationen für das Wasserressourcen-Management abgeleitet werden, insbesondere weil eine Auswahl solcher Agrar-Umweltmaßnahmen im Pipiripau-EZG durch das Programm Produtor de Água finanziell gefördert werden sollen. Während das Modell in landwirtschaftlich genutzten Gebieten plausible Ergebnisse produzierte, wurden erhebliche Schwachstellen in der Simulation ausdauernder Vegetation (z.B. Cerrado) identifiziert. Zur Unterbrechung jährlicher Vegetationszyklen verwendet SWAT eine tageslängenabhängige Dormanzperiode. Diese ist zwar zweckmäßig zur Abbildung der Vegetationsdynamik in den gemäßigten Breiten, steuert aber nicht tropische Vegetationszyklen. Um den Wechsel zwischen Trocken- und Regenzeit in der pflanzenphänologischen Simulation in SWAT abzubilden, wurde daher im Rahmen dieser Arbeit das Pflanzenwachstumsmodul modifiziert, und zwar unter anderem durch Einbeziehung der simulierten Bodenfeuchte zur Unterbrechung der Wachstumszyklen. Das angepasste Modul wurde erfolgreich anhand von Fernerkundungsdaten (MODIS) zum zeitlichen Verlauf von Blattflächenindex und Evapotranspiration getestet. Es ist prozessbasiert und erlaubt flexible Einstellungen, so dass es als grundlegende Modellverbesserung auch für andere SWAT-Anwender von großem Nutzen sein kann. Die vorliegende Dissertation bringt neue Einsichten in verschiedene wichtige Aspekte der integrierten Modellierung tropischer Einzugsgebiete, von der Eingangsdatenaufbereitung über Quellcode-Anpassung, Modellkalibrierung und Unsicherheitsanalyse bis hin zu Szenariosimulationen. Sie veranschaulicht regionsspezifische Herausforderungen, liefert gleichzeitig aber auch praktikable Lösungen und damit einen wichtigen Beitrag für robustere prozessbasierte Modellanwendungen als Entscheidungsunterstützung im Bereich Land- und Wasserressourcenmanagement.

The idea of time series forecasting techniques is that the past has certain information about future. So, the question of how the information is encoded in the past can be interpreted and later used to extrapolate events of future constitute the crux of time series analysis and forecasting. Several methods such as qualitative techniques (e.g., Delphi method), causal techniques (e.g., least squares regression), quantitative techniques (e.g., smoothing method, time series models) have been developed in the past in which the concept lies in establishing a model either theoretically or mathematically from past observations and estimate future from it. Of all the models, time series methods such as autoregressive moving average (ARMA) process have gained popularity because of their simplicity in implementation and accuracy in obtaining forecasts. But, these models were formulated based on certain properties that a time series is assumed to possess. Classical decomposition techniques were developed to supplement the requirements of time series models. These methods try to define a time series in terms of simple patterns called trend, cyclical and seasonal patterns along with noise. So, the idea of decomposing a time series into component patterns, later modeling each component using forecasting processes and finally combining the component forecasts to obtain actual time series predictions yielded superior performance over standard forecasting techniques. All these methods involve basic principle of moving average computation. But, the developed classical decomposition methods are disadvantageous in terms of containing fixed number of components for any time series, data independent decompositions. During moving average computation, edges of time series might not get modeled properly which affects long range forecasting. So, these issues are to be addressed by more efficient and advanced decomposition techniques such as Wavelets and Empirical Mode Decomposition (EMD). Wavelets and EMD are some of the most innovative concepts considered in time series analysis and are focused on processing nonlinear and nonstationary time series. Hence, this research has been undertaken to ascertain the predictability of nonstationary time series using wavelet and Empirical Mode Decomposition (EMD) based ARMA models. The development of wavelets has been made based on concepts of Fourier analysis and Window Fourier Transform. In accordance with this, initially, the necessity of involving the advent of wavelets has been presented. This is followed by the discussion regarding the advantages that are provided by wavelets. Primarily, the wavelets were defined in the sense of continuous time series. Later, in order to match the real world requirements, wavelets analysis has been defined in discrete scenario which is called as Discrete Wavelet Transform (DWT). The current thesis utilized DWT for performing time series decomposition. The detailed discussion regarding the theory behind time series decomposition is presented in the thesis. This is followed by description regarding mathematical viewpoint of time series decomposition using DWT, which involves decomposition algorithm. EMD also comes under same class as wavelets in the consequence of time series decomposition. EMD is developed out of the fact that most of the time series in nature contain multiple frequencies leading to existence of different scales simultaneously. This method, when compared to standard Fourier analysis and wavelet algorithms, has greater scope of adaptation in processing various nonstationary time series. The method involves decomposing any complicated time series into a very small number of finite empirical modes (IMFs-Intrinsic Mode Functions), where each mode contains information of the original time series. The algorithm of time series decomposition using EMD is presented post conceptual elucidation in the current thesis. Later, the proposed time series forecasting algorithm that couples EMD and ARMA model is presented that even considers the number of time steps ahead of which forecasting needs to be performed. In order to test the methodologies of wavelet and EMD based algorithms for prediction of time series with non stationarity, series of streamflow data from USA and rainfall data from India are used in the study. Four non-stationary streamflow sites (USGS data resources) of monthly total volumes and two non-stationary gridded rainfall sites (IMD) of monthly total rainfall are considered for the study. The predictability by the proposed algorithm is checked in two scenarios, first being six months ahead forecast and the second being twelve months ahead forecast. Normalized Root Mean Square Error (NRMSE) and Nash Sutcliffe Efficiency Index (Ef) are considered to evaluate the performance of the proposed techniques. Based on the performance measures, the results indicate that wavelet based analyses generate good variations in the case of six months ahead forecast maintaining harmony with the observed values at most of the sites. Although the methods are observed to capture the minima of the time series effectively both in the case of six and twelve months ahead predictions, better forecasts are obtained with wavelet based method over EMD based method in the case of twelve months ahead predictions. It is therefore inferred that wavelet based method has better prediction capabilities over EMD based method despite some of the limitations of time series methods and the manner in which decomposition takes place. Finally, the study concludes that the wavelet based time series algorithm could be used to model events such as droughts with reasonable accuracy. Also, some modifications that could be made in the model have been suggested which can extend the scope of applicability to other areas in the field of hydrology.