Thesis (Ph. D.)--West Virginia University, 2010. / Title from document title page. Document formatted into pages; contains vii, 106 p. : ill. (some col.), maps. Includes abstract. Includes bibliographical references (p. 97-103).

MORAIS, Pablo Abreu de. Correlações e interações de longo alcance em meios desordenados: linhas costeiras e transição de Anderson. 2012. 117 f. Tese (Doutorado em Física) - Programa de Pós-Graduação em Física, Departamento de Física, Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2012. / Submitted by Edvander Pires (edvanderpires@gmail.com) on 2015-05-19T18:48:02Z No. of bitstreams: 1 2012_tese_pamorais.pdf: 35280964 bytes, checksum: f36822e135c7b0c6f6a09cfca085d2e4 (MD5) / Approved for entry into archive by Edvander Pires(edvanderpires@gmail.com) on 2015-05-22T20:05:29Z (GMT) No. of bitstreams: 1 2012_tese_pamorais.pdf: 35280964 bytes, checksum: f36822e135c7b0c6f6a09cfca085d2e4 (MD5) / Made available in DSpace on 2015-05-22T20:05:29Z (GMT). No. of bitstreams: 1 2012_tese_pamorais.pdf: 35280964 bytes, checksum: f36822e135c7b0c6f6a09cfca085d2e4 (MD5) Previous issue date: 2012 / Many physical phenomena have strong dependence on the disorder of the medium in which they occur. The {it Anderson} theory localization, for example, states that the introduction of disorder in electronic systems can promote the metal-insulator transition, also known as {it Anderson} transition. However, for low dimensional systems, according to the same theory, any finite degree of uncorrelated disorder is able to promote the exponential localization of all electronic functions. The general {it Anderson} theory localization is violated when long-range correlations and long-range interactions are used. In this scenario, the metal-insulator transition also occurs for low dimensional systems. In network problems, the long-range connections are responsible for the short average distance between individuals belonging to the same social network. This phenomenon is popularly known as six degrees of separation. Furthermore, {it Kleinberg} showed that the introduction of a power-law distribution of long-range links in a network produces a minimum in the transmission time information from a source site to a target site network . In this thesis, we investigate how the long-range disorder changes the universality class of two mathematical models that represent the following physical problems: the erosion process in correlated landscapes and the delocalization-localization transition of the normal modes of a harmonic chain with long range connections restricted by a cost function. In the first model, we show that long-range spatial correlations in the geological properties of the coast, in the critical regime of our model, generates a spectrum of fractals shorelines whose fractal dimensions vary between {it D} = 1.33 and 1.00 when we vary the {it Hurst} exponent in the range $0< H <1$. Furthermore, when we use uncorrelated surfaces, the shoreline, for very intense sea erosion, are self-affine and belong to the same universality class of the interfaces described by the equation of {it Kardar-Parisi-Zhang} ({it KPZ}). In the second model, we show that long-range links in a chain harmonic inserted with a probability with decreasing size of the bond, $p sim r^{-alpha}$, restricted by a cost function proportional to chain length, promotes a delocalization-localization transition of the normal modes for the exponent $ alpha simeq 1.25$. / Muitos fenômenos físicos têm forte dependência da desordem do meio no qual ocorrem. A teoria de localização de Anderson, por exemplo, estabelece que a introdução de desordem em sistemas eletrônicos pode promover a transição metal-isolante, também conhecida como transição de Anderson. Contudo, para sistemas de baixa dimensionalidade, segundo essa mesma teoria, qualquer grau finito de desordem pode promover a localização exponencial de todas as funções eletrônicas. No entanto, foi mostrado que a teoria geral de localização de Anderson é violada quando correlações e interações de longo alcance são utilizadas. Nesse cenário, a transição metal-isolante ocorre também para sistemas de baixa dimensionalidade. Nos problemas relacionados com redes, as ligações de longo alcance são responsáveis pela pequena distância média entre indivíduos pertencentes à mesma rede social. Esse fenômeno é popularmente conhecido como os seis graus de separação. Além disso, Kleinberg mostrou que a introdução de uma distribuição em lei de potência de ligações de longo alcance em uma rede substrato gera um mínimo no tempo de envio de uma informação de um sítio fonte a um sítio alvo da rede. Nesta tese, investigamos como a desordem de longo alcance altera a classe de universalidade de dois modelos matemáticos que representam os seguintes problemas físicos: o processo de erosão na costa de paisagens correlacionadas e a transição deslocalização-localização dos modos normais de vibração de uma cadeia harmônica com ligações de longo alcance restritas por uma função custo. No primeiro modelo, mostramos que correlações espaciais de longo alcance nas propriedades geológicas da costa, no regime crítico do nosso modelo, gera um espectro de linhas costeiras fractais cujas dimensões fractais variam entre D=1.33 e 1.00 quando variamos o expoente de Hurst no intervalo 0< H < 1. Além disso, quando utilizamos superfícies não correlacionadas, as linha costeiras, para erosões marítimas muito intensas, são auto-afins e pertencem a mesma classe de universalidade das interfaces descritas pela equação de Kardar-Parisi-Zhang (KPZ). No segundo modelo, mostramos que ligações de longo alcance inseridas em uma cadeia harmônica com uma probabilidade decaindo com o tamanho da ligação, p ∼ r−α, restritas por uma função custo proporcional ao tamanho da cadeia, promovem uma transição deslocalização localização dos modos normais de vibração para o expoente α ≅ 1.25.

The aim of this research was to assess three hierarchical aspects of alga-grazer interactions in intertidal communities on a small scale: spatial heterogeneity, grazing effects and spatial stability in grazing effects. First, using semivariograms and cross-semivariograms I observed hierarchical spatial patterns in most algal groups and in grazers. However, these patterns varied with the level on the shore and between shores, suggesting that either human exploitation or wave exposure can be a source of variability. Second, grazing effects were studied using manipulative experiments at different levels on the shore. These revealed significant effects of grazing on the low shore and in tidal pools. Additionally, using a transect of grazer exclusions across the shore, I observed unexpected hierarchical patchiness in the strength of grazing, rather than zonation in its effects. This patchiness varied in time due to different biotic and abiotic factors. In a separate experiment, the effect of mesograzers effects were studied in the upper eulittoral zone under four conditions: burnt open rock (BOR), burnt pools (Bpool), non-burnt open rock (NBOR) and non-burnt pools (NBpool). Additionally, I tested spatial stability in the effects of grazing in consecutive years, using the same plots. I observed great spatial variability in the effects of grazing, but this variability was spatially stable in Bpools and NBOR, meaning deterministic and significant grazing effects in consecutive years on the same plots. Both the significance in grazing effects and spatial stability depended on the level of resolution (species, functional, biomass) at which the algal assemblage was evaluated, suggesting hierarchical variability. In order to be able to predict spatial variability in the effects of grazers in the upper eulittoral zone using biotic and abiotic micro- and macrofactors, a conceptual model was proposed, based on data from several multiple-regressions. This linked the interactions among three elements: idiosyncratic heterogeneity, micro and macrofactors. This suggests that spatial variability can be a product of these factors, while spatial stability can be caused by the same or different combinations of factors. In conclusion, grazing and other ecological phenomena must be studied hierarchically, not only through spatiotemporal scales, but also at different levels of resolution, as these also influence our perception of patterns.

Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico / Muitos fenÃmenos fÃsicos tÃm forte dependÃncia da desordem do meio no qual ocorrem. A teoria de localizaÃÃo de Anderson, por exemplo, estabelece que a introduÃÃo de desordem em sistemas eletrÃnicos pode promover a transiÃÃo metal-isolante, tambÃm conhecida como transiÃÃo de Anderson. Contudo, para sistemas de baixa dimensionalidade, segundo essa mesma teoria, qualquer grau finito de desordem pode promover a localizaÃÃo exponencial de todas as funÃÃes eletrÃnicas. No entanto, foi mostrado que a teoria geral de localizaÃÃo de Anderson à violada quando correlaÃÃes e interaÃÃes de longo alcance sÃo utilizadas. Nesse cenÃrio, a transiÃÃo metal-isolante ocorre tambÃm para sistemas de baixa dimensionalidade. Nos problemas relacionados com redes, as ligaÃÃes de longo alcance sÃo responsÃveis pela pequena distÃncia mÃdia entre indivÃduos pertencentes à mesma rede social. Esse fenÃmeno à popularmente conhecido como os seis graus de separaÃÃo. AlÃm disso, Kleinberg mostrou que a introduÃÃo de uma distribuiÃÃo em lei de potÃncia de ligaÃÃes de longo alcance em uma rede substrato gera um mÃnimo no tempo de envio de uma informaÃÃo de um sÃtio fonte a um sÃtio alvo da rede. Nesta tese, investigamos como a desordem de longo alcance altera a classe de universalidade de dois modelos matemÃticos que representam os seguintes problemas fÃsicos: o processo de erosÃo na costa de paisagens correlacionadas e a transiÃÃo deslocalizaÃÃo-localizaÃÃo dos modos normais de vibraÃÃo de uma cadeia harmÃnica com ligaÃÃes de longo alcance restritas por uma funÃÃo custo. No primeiro modelo, mostramos que correlaÃÃes espaciais de longo alcance nas propriedades geolÃgicas da costa, no regime crÃtico do nosso modelo, gera um espectro de linhas costeiras fractais cujas dimensÃes fractais variam entre D=1.33 e 1.00 quando variamos o expoente de Hurst no intervalo 0<H<1. AlÃm disso, quando utilizamos superfÃcies nÃo correlacionadas, as linha costeiras, para erosÃes marÃtimas muito intensas, sÃo autoafins e pertencem à mesma classe de universalidade das interfaces descritas pela equaÃÃo de Kardar-Parisi-Zhang (KPZ). No segundo modelo, mostramos que ligaÃÃes de longo alcance inseridas em uma cadeia harmÃnica com uma probabilidade decaindo com o tamanho da ligaÃÃo, p ~ r -&#945;, restritas por uma funÃÃo custo proporcional ao tamanho da cadeia, promovem uma transiÃÃo deslocalizaÃÃo-localizaÃÃo dos modos normais de vibraÃÃo para o expoente &#945; &#8776; 1.25. / Many physical phenomena have strong dependence on the disorder of the medium in which they occur. The {it Anderson} theory localization, for example, states that the introduction of disorder in electronic systems can promote the metal-insulator transition, also known as {it Anderson} transition. However, for low dimensional systems, according to the same theory, any finite degree of uncorrelated disorder is able to promote the exponential localization of all electronic functions. The general {it Anderson} theory localization is violated when long-range correlations and long-range interactions are used. In this scenario, the metal-insulator transition also occurs for low dimensional systems. In network problems, the long-range connections are responsible for the short average distance between individuals belonging to the same social network. This phenomenon is popularly known as six degrees of separation. Furthermore, {it Kleinberg} showed that the introduction of a power-law distribution of long-range links in a network produces a minimum in the transmission time information from a source site to a target site network . In this thesis, we investigate how the long-range disorder changes the universality class of two mathematical models that represent the following physical problems: the erosion process in correlated landscapes and the delocalization-localization transition of the normal modes of a harmonic chain with long range connections restricted by a cost function. In the first model, we show that long-range spatial correlations in the geological properties of the coast, in the critical regime of our model, generates a spectrum of fractals shorelines whose fractal dimensions vary between {it D} = 1.33 and 1.00 when we vary the {it Hurst} exponent in the range $0< H <1$. Furthermore, when we use uncorrelated surfaces, the shoreline, for very intense sea erosion, are self-affine and belong to the same universality class of the interfaces described by the equation of {it Kardar-Parisi-Zhang} ({it KPZ}). In the second model, we show that long-range links in a chain harmonic inserted with a probability with decreasing size of the bond, $p sim r^{-alpha}$, restricted by a cost function proportional to chain length, promotes a delocalization-localization transition of the normal modes for the exponent $ alpha simeq 1.25$.

The dynamic environmental history and relative sea level (RSL) changes experienced on the Pacific Northwest Coast of North America during the early post-glacial period and the early Holocene resulted in significant visibility challenges for prospection of early coastal archaeological sites. Archaeological visibility is the degree to which cultural material survives post-depositional processes and is detectable on the landscape today. It is influenced by environmental factors such as localized differences in relative sea level change, the rainforest canopy and dynamic post-glacial activity. This study offers an integrated methodological approach for locating palaeo-coastal sites by combining: i) geomorphic interpretation of landscape attributes captured by LIDAR (Light Detection and Ranging) mapping, ii) GIS-based archaeological site potential mapping, and iii) local RSL history. The RSL history for the study site (Quadra Island, British Columbia, Canada) shows notable regression over the past 14 500 years from a highstand of at least 195 m resulting from post-glacial isostatic rebound. Late Pleistocene and early Holocene palaeo-shorelines are found inland from, and elevated above, modern sea level and represent key areas for archaeological prospecting. Bare-earth Digital Terrain Models (DTMs) derived from the LIDAR dataset were interpreted to identify palaeo-shorelines at 10 m and 30 m above modern mean sea level. A GIS-derived map was created to identify regions of high archaeological potential using a decision tree method with variables including distance to palaeo-shoreline, low slope and a coastal complexity parameter. Select geoarchaeological sites were examined in terms of sedimentology, stratigraphy, microfossil content and geochronology as site-specific examples of sea level regression stillstands. Field validation results suggest that this integrated methodology provides a promising approach for archaeological prospection that could be applied to other post-glacial coastal settings. / Graduate

An ecosytem-based spatial conservation plan for the South African sandy beaches. Sandy beaches are valuable ecosystems. They support a collection of species that is unique, comprising many endemic species, and provide a number of key ecosystem goods and services, including scenic vistas for human recreation, nesting sites for turtles and birds, and important areas for biogeochemical recycling, water filtration and purification. However, sandy beaches have not been well understood or appreciated as ecosystems, and consequently have a legacy of poor coastal management. In many instances this has lead to a "tyranny of small decisions", where multiple, seemingly insignificant management decisions and actions have resulted in complete transformation and degradation of the shoreline in several places. In addition to inappropriate management strategies, beaches are also poorly represented in conservation areas. Further, where they are recognised as being "conserved" in marine protected areas, this often is a false sense of protection because the far more sensitive dune portion of the littoral active zone is invariably not included in the reserve. In short, there is a need for a new way to approach sandy beach conservation and management that includes the system (dunes, intertidal beaches and surf zones) as a whole. On one hand, the approach should make provision for use of the abundant natural resources and opportunities associated with sandy shores in ways that are sustainable and contribute to biodiversity stewardship - through ecosystem-based management and marine spatial planning. But, on the other hand, it must simultaneously contribute to securing a sufficient amount of the key ecological attributes of beaches (habitats, biodiversity and processes) in a network of reserves, to ensure that the ecosystem, natural resources, and services all persist in perpetuity - through systematic conservation planning. The aim of this Thesis is to integrate these into a single approach, which I call ecosystem-based spatial conservation planning for sandy beaches, using the South African sandy shores as a case study. To achieve this broad aim, the Thesis is divided into three parts. Part 1 deals with establishing baseline information by quantifying spatial patterns in sandy beach habitats (Chapter 1), biodiversity, key assemblages and processes, and outstanding physical features (Chapter 2). First, mapping sandy beach habitats is a challenge given the vast, linear extent of shorelines and significant resources required to complete the project. Therefore, a novel approach was derived using statistical techniques (conditional inference trees) to identify physical features of beaches that can be observed on Google Earth (or similar) imagery, and that can provide good predictions of beach morphodynamic (habitat) types. Based on the results of this analysis, sandy beaches (and all other coastal habitat types) were mapped digitally in ArcGIS. Second, spatial patterns in sandy beach biodiversity (vertebrates, macrofauna, microflora and foredune plants) were mapped by compiling existing data on the distributions of key species that have been well studied or mapped previously (vertebrates and foredune plants), and by niche modelling (macrofauna and microflora). For the latter, data from all previous sandy-beach sampling events in South Africa were compiled from published and unpublished sources, and supplemented with additional sampling of 23 beaches along the national shoreline, targeting macrofauna and phytoplankton. Altogether, the macrofauna database comprised data from 135 sites and 186 sampling events, and the microflora (phytoplankton and microphytobenthos) database comprised data from 73 sites and 510 samples. The probabilistic distribution of each "resident" species (present at 10 or more sites) was modelled in MaxEnt version 3.3.3k, probability thresholds were determined statistically (to convert the data into predicted presence-absence), and displayed as a digital map. A composite biodiversity map was compiled, and key trends in species richness and endemism along the national shoreline were quantified. To supplement biodiversity proper, additional valued-features of sandy beaches were mapped, including: important assemblages; unique habitat features; and sites associated with key ecological processes. Part 2 considers threats to sandy beaches in the context of deriving an appropriate management strategy that seeks to provide for use of the coast, but in a way that has least overall impact to the ecosystem. A method for assessing cumulative threats to sandy beaches is adapted from an existing framework (Chapter 4). This entailed compiling a list of threats to beaches, and scoring these (out of 10) in terms of the severity of their respective impacts to beaches, and how long it would take the ecosystem to recover should the threat be removed. The scoring was based on the collective expert opinion of the scientific community working on sandy beaches, at a workshop during the VIth International Sandy Beach Symposium 2012. To standardize the scores and ensure broad applicability, a base case scenario of a pristine beach was established, and maximum theoretical scores were provided for this context. The method for integrating these scores into a spatial, cumulative threat assessment was then determined. In Chapter 5, the maximum theoretical scores (from Chapter 4) were down-scaled to suit the current threat regime to the South African sandy beaches, and the cumulative threat assessment methodology was applied. From this analysis, the most threatened beaches in South Africa, and the most important threats were highlighted. A decision-support tool for managers was derived from the site-specific cumulative threat-impact scores, based first on the degree of permanent habitat transformation, and second on the cumulative impact of other stressors where the impacts these stressors have could potentially be mitigated or ameliorated. Part 3 concerns conservation of beaches explicitly. It addresses how much of which valued features of beaches is required to ensure their long-term persistence, and the design of a network of beaches in South Africa that are of ecological importance and should be set aside as reserves. Conservation targets are set in Chapter 6, using species-area curves to determine a baseline percentage-area required to protect sandy beach habitats, which is modified using heuristic principles based on habitat rarity and threat status (from a recent national assessment). A fixed target was applied to all species, also modified by heuristic principles, and another fixed target was applied to key assemblages and processes.

The debate on whether water exists on Mars has been resolved by recent data from the Mars Phoenix Polar Lander. The lander found water ice just below the surface in the high northern latitudes of Mars. The questions to be answered now are: how much water was present in the past, how much water is currently present, what was the state the water in the past, and what is the current state of water on Mars. The morphology and spatial relationships are examined between three different landforms (pitted cones, giant polygons, and putative shorelines) considered to be the result of water-related processes. At two locations, Utopia Planitia and Cydonia Mensae, these three features exhibit the same topographic relationship. Non-water-related features adjacent to or nearby the landforms, such as the Dichotomy Boundary, multi- ringed basins, and locations of recent methane release, are examined for possible relationships to the formation of these 3 landforms. My results support previous work that indicates a large water body existed in the northern lowlands of Mars at some time in the past. In addition large amounts of sediment must have been shed from the highlands to the lowlands during this period to support the mud volcanism and giant polygon formation. Evidence also exists that mud volcanism was a common phenomenon during, and possibly after, the existence of the water body.

Living shorelines and other nature-based solutions have become more widely accepted as a cost-effective, multi-functional, and sustainable approach to coastal resilience. However, in spite of growing stakeholder support, a planning-level understanding of the hydrodynamic impact of living shorelines is not well-developed. Not only do these features vary in size, shape, and structural characteristics, but the wave environment in which they exist can be quiescent or extreme. The work presented in this paper explores the hydrodynamic effects of living shoreline features in such a way that can be generalized across a range of varying physical environments. In a series of Simulation WAves Nearshore (SWAN) simulations, we investigate the effect of wave period, wave height, bed slope, living shoreline feature length in the cross-shore direction, and feature friction coefficient on wave attenuation. Results showed that higher wave period, higher wave height, milder slopes, longer feature lengths, and higher feature roughness largely correlated with higher wave attenuation. However, only on mild slopes did additional feature lengths result in appreciable additional attenuation. Characteristic lengths were thus computed to better illustrate the cost-effectiveness of additional feature lengths given a particular wave environment. These characteristic lengths provide one way to evaluate the hydraulic efficacy of proposed living shoreline projects. In this way, regardless of the particularities of individual project sites, we aim to help planners screen potential living shoreline projects before pursuing more detailed, costly analyses. / Master of Science / Living shorelines and other nature-based solutions have become more widely accepted as a cost-effective, multi-functional, and sustainable approach to coastal resilience. However, in spite of growing stakeholder support, a planning-level understanding of the hydrodynamic impact of living shorelines is not well-developed. Not only do these features vary in size, shape, and structural characteristics, but the wave environment in which they exist can be quiescent or extreme. The work presented in this paper explores the hydrodynamic effects of living shoreline features in such a way that can be generalized across a range of varying physical environments. In a series of Simulation WAves Nearshore (SWAN) simulations, we investigate the effect of wave period, wave height, bed slope, living shoreline feature length in the cross-shore direction, and feature friction coefficient on wave attenuation. Results showed that higher wave period, higher wave height, milder slopes, longer feature lengths, and higher feature roughness largely correlated with higher wave attenuation. However, only on mild slopes did additional feature lengths result in appreciable additional attenuation. Characteristic lengths were thus computed to better illustrate the cost-effectiveness of additional feature lengths given a particular wave environment. These characteristic lengths provide one way to evaluate the hydraulic efficacy of proposed living shoreline projects. In this way, regardless of the particularities of individual project sites, we aim to help planners screen potential living shoreline projects before pursuing more detailed, costly analyses.

Studies of episodic shoreline accretion of the Columbia River Littoral Cell (CRLC) have been ongoing since 1964. In this study, the sediment volumes in the late Holocene barriers and beach plains are compiled and formatted in GIS compatible databases for the four sub-cells of the CRLC. Initial evaluation involved the creation of a geodatabase of 160 dated retreat scarp positions, that were identified on across-shore GPR and borehole profiles. Ten primary timelines were identified throughout the CRLC (0-4700 ybp) and those were used to develop polygon cells. Elevation, distance measurements, and position information were all linked to the polygon through a centroid location within the geodatabase. Once the geodatabase was completed, data was imported into MSAccessTM to create a relational database that would allow for examination of the littoral cell in its entirety or of the individual sub-cells. Within the database, sediment volumes, ages, accretion rates, sediment thicknesses, and timeline relationships were calculated and recorded. Using the database, the accretion history of the Columbia River Littoral Cell was evaluated and this examination illustrated the complexity of the system. Northern littoral transport was shown to be an important factor in the development of the littoral cell as a whole. Total sediment volume in the littoral cell was calculated to be 1.74 x 109 m3, with a mean accretion rate of 1.90 x 104 m3/yr, which is significantly less than some previous studies. This is due to a more detailed analysis of the beach and foredune facies themselves. This is likely the result of the higher precision of beach and foredune surface information using LiDAR. The database shows that the developmental history of the CRLC is dependent on temporal and spatial constraints that can be coupled with reverse modeling to predict shoreline erosion trends from impounded river sediments and potential global sea level rise. The North Beaches and Grayland Plains sub-cells have the greatest potential for future erosion; followed by the Clatsop Plains sub-cell.

This dissertation addresses hydrodynamics, sediment transport and shoreline erosion within the main pool of Hartwell Lake, a U.S. Army Corps of Engineers reservoir built on the Savannah River, between Anderson, South Carolina, and Hartwell, Georgia, USA. A U.S. Environmental Protection Agency (EPA) Superfund site is located on a tributary of Hartwell Lake because of high concentrations of polychlorinated biphenyls (PCBs) in the lake sediments. PCBs are hydrophobic and typically bond to fine-grained sediments, such as silts and clays. The primary goal of the study was to document, through field measurements, and model, using a 3-D numerical model of flow and sediment transport, the fate of sediments within the main pool of Hartwell Lake. To document forty years of sedimentation within the reservoir, bathymetric survey data were collected in Hartwell Lake during the period, February 10-14, 2003. The bathymetric surveys revealed that deposition was, in places, up to two meters thickness in forty years. During the field campaign, flow velocity measurements were made primarily to provide a check on the magnitude of the velocities predicted by the numerical model used in the study. Shoreline surveys provided data for the modeling procedure for shoreline change. This in turn facilitated specification of the sediment flux into the domain via shoreline erosion. Hartwell Lake is located near the southern terminus of the Appalachian mountain chain in the Piedmont region. Sediments contain high fractions of silt and clay. Hartwell Lake has a shoreline length of 1548 km, and erosion of lake shorelines has been a significant problem for many homeowners. As of September 2002, there were 1123 permitted riprap installations, and 393 permitted retaining walls, for a total of 1516 erosion control structures along the lakeshores (source: USACE Hartwell Office), an indication of the magnitude of the erosion problem. To quantify the erosion rate of the shorelines, an approach that relates erosion rates to wind wave forces was developed. A simplified representation of the shape of beach profiles is employed. Historical shoreline change rates were quantified by comparing available digital aerial photos taken in different years, and the erosion prediction model was calibrated using these computed erosion rates. Sediments derived from shoreline erosion were introduced to the model as an additional source along the model boundary, and the fate of the eroding sediments was investigated via numerical modeling.