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Mathematical Modeling

Filter Total Items: 25

The response of coastal wetlands to sea-level rise: Understanding how macroscale drivers influence local processes and feedbacks

The purpose of this work is to advance our understanding of how coastal wetland responses to SLR within the conterminous United States are likely to vary as a function of local, regional, and macroscale drivers, including climate. Based on our interactions with managers and decision makers, as well as our knowledge of the current state of the science, we propose to (a) conduct a national synoptic...
The response of coastal wetlands to sea-level rise: Understanding how macroscale drivers influence local processes and feedbacks

The response of coastal wetlands to sea-level rise: Understanding how macroscale drivers influence local processes and feedbacks

The purpose of this work is to advance our understanding of how coastal wetland responses to SLR within the conterminous United States are likely to vary as a function of local, regional, and macroscale drivers, including climate. Based on our interactions with managers and decision makers, as well as our knowledge of the current state of the science, we propose to (a) conduct a national synoptic...
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Seagrass Vulnerability to Environmental Conditions Under Changing Temperature Regimes

Seagrasses are among the most productive ecosystems on the planet. Water quality degradation and direct human disturbance have caused loss of nearly a third of the seagrass habitat worldwide. These threats are exacerbated by stresses associated with a changing global climate. Predicting how seagrass distribution, abundance, and species composition will change in response to increased temperature...
Seagrass Vulnerability to Environmental Conditions Under Changing Temperature Regimes

Seagrass Vulnerability to Environmental Conditions Under Changing Temperature Regimes

Seagrasses are among the most productive ecosystems on the planet. Water quality degradation and direct human disturbance have caused loss of nearly a third of the seagrass habitat worldwide. These threats are exacerbated by stresses associated with a changing global climate. Predicting how seagrass distribution, abundance, and species composition will change in response to increased temperature...
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Spatio-Temporal Statistical Models for Forecasting Climate Change Effects on Bird Distribution

Ecological indicators of climate change are needed to measure concurrent changes in ecological systems, inform management decisions, and forecast the consequences of climate change. We seek to develop robust bird-based, climate-change indicators using North American Breeding Bird Survey data.
Spatio-Temporal Statistical Models for Forecasting Climate Change Effects on Bird Distribution

Spatio-Temporal Statistical Models for Forecasting Climate Change Effects on Bird Distribution

Ecological indicators of climate change are needed to measure concurrent changes in ecological systems, inform management decisions, and forecast the consequences of climate change. We seek to develop robust bird-based, climate-change indicators using North American Breeding Bird Survey data.
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Conservation of Rare Vegetation Communities of the Atlantic Coastal Barrier Islands

The Challenge: A synthesis of the role of disturbance, in all of its manifestations, on the establishment and development of the American Holly forest is required to guide future conservation measures. Because many forest fragments have already endured >30 years of chronic deer herbivory, a legitimate question of how much more impact by deer can be tolerated and still conserve the essential type...
Conservation of Rare Vegetation Communities of the Atlantic Coastal Barrier Islands

Conservation of Rare Vegetation Communities of the Atlantic Coastal Barrier Islands

The Challenge: A synthesis of the role of disturbance, in all of its manifestations, on the establishment and development of the American Holly forest is required to guide future conservation measures. Because many forest fragments have already endured >30 years of chronic deer herbivory, a legitimate question of how much more impact by deer can be tolerated and still conserve the essential type...
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Post-Hurricane Sandy Vegetation Recovery in the Presence of a Hyper-abundant Deer Population

The Challenge: The primary dune along barrier island beaches protects leeward vegetation from tidal fluctuation, salt spray and storm surge. However, storm surges like those experienced during Hurricane Sandy can obliterate the primary dune, transporting sand inland and burying existing vegetation. The dune rebuilds naturally as recovering vegetation traps wind-blown and waterborne sand. The rate...
Post-Hurricane Sandy Vegetation Recovery in the Presence of a Hyper-abundant Deer Population

Post-Hurricane Sandy Vegetation Recovery in the Presence of a Hyper-abundant Deer Population

The Challenge: The primary dune along barrier island beaches protects leeward vegetation from tidal fluctuation, salt spray and storm surge. However, storm surges like those experienced during Hurricane Sandy can obliterate the primary dune, transporting sand inland and burying existing vegetation. The dune rebuilds naturally as recovering vegetation traps wind-blown and waterborne sand. The rate...
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Hierarchical Models of Animal Abundance and Occurrence

The Challenge: Research goals of this project are to develop models, statistical methods, sampling strategies and tools for inference about animal population status from survey data. Survey data are always subject to a number of observation processes that induce bias and error. In particular, inferences are based on spatial sampling – we can only ever sample a subset of locations where species...
Hierarchical Models of Animal Abundance and Occurrence

Hierarchical Models of Animal Abundance and Occurrence

The Challenge: Research goals of this project are to develop models, statistical methods, sampling strategies and tools for inference about animal population status from survey data. Survey data are always subject to a number of observation processes that induce bias and error. In particular, inferences are based on spatial sampling – we can only ever sample a subset of locations where species...
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Spatial Capture-Recapture Models to Estimate Abundance and Density of Animal Populations

The Challenge: For decades, capture-recapture methods have been the cornerstone of ecological statistics as applied to population biology. While capture-recapture has become the standard sampling and analytical framework for the study of population processes (Williams, Nichols & Conroy 2002) it has advanced independent of and remained unconnected to the spatial structure of the population or the...
Spatial Capture-Recapture Models to Estimate Abundance and Density of Animal Populations

Spatial Capture-Recapture Models to Estimate Abundance and Density of Animal Populations

The Challenge: For decades, capture-recapture methods have been the cornerstone of ecological statistics as applied to population biology. While capture-recapture has become the standard sampling and analytical framework for the study of population processes (Williams, Nichols & Conroy 2002) it has advanced independent of and remained unconnected to the spatial structure of the population or the...
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Development of Statistical Methods for Biological Applications

The Challenge: Wildlife science and management are guided by data, and it is unquestionably the case that the greatest success occurs when good data are analyzed by good statistical methods.
Development of Statistical Methods for Biological Applications

Development of Statistical Methods for Biological Applications

The Challenge: Wildlife science and management are guided by data, and it is unquestionably the case that the greatest success occurs when good data are analyzed by good statistical methods.
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Hierarchical Models for Estimation of Population Parameters

The Challenge: Much of wildlife research consists of the description of variation in data. Some of the variation results from spatial and temporal change in populations, while some results from biologically irrelevant sampling variation induced by the process of data collection. Distinguishing relevant from irrelevant variation is the first task of statistical analysis, but the job does not end...
Hierarchical Models for Estimation of Population Parameters

Hierarchical Models for Estimation of Population Parameters

The Challenge: Much of wildlife research consists of the description of variation in data. Some of the variation results from spatial and temporal change in populations, while some results from biologically irrelevant sampling variation induced by the process of data collection. Distinguishing relevant from irrelevant variation is the first task of statistical analysis, but the job does not end...
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Managing the Future Status of the Shenandoah Salamander

The Shenandoah salamander is listed as an endangered salamander that is at risk of extinction due to its small, high-elevation range, competition with the co-occurring red-backed salamander, and the predicted habitat changes in the Appalachian mountain range. We are working with multiple partners to understand the current status of the species, predict future status, and continually engage...
Managing the Future Status of the Shenandoah Salamander

Managing the Future Status of the Shenandoah Salamander

The Shenandoah salamander is listed as an endangered salamander that is at risk of extinction due to its small, high-elevation range, competition with the co-occurring red-backed salamander, and the predicted habitat changes in the Appalachian mountain range. We are working with multiple partners to understand the current status of the species, predict future status, and continually engage...
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Integrating Habitat and Harvest Management for Northern Pintails

The Challenge: Several blue-ribbon panels have challenged the waterfowl management world to recognize the linkages between the two primary management frameworks: harvest management under the Migratory Bird Treaty Act, and habitat management under the North American Waterfowl Management Plan. Because these two frameworks seek to manage the same populations, there needs to be better coordination, in...
Integrating Habitat and Harvest Management for Northern Pintails

Integrating Habitat and Harvest Management for Northern Pintails

The Challenge: Several blue-ribbon panels have challenged the waterfowl management world to recognize the linkages between the two primary management frameworks: harvest management under the Migratory Bird Treaty Act, and habitat management under the North American Waterfowl Management Plan. Because these two frameworks seek to manage the same populations, there needs to be better coordination, in...
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Modeling, Estimation, and Adaptive Management of Florida Manatees

The Challenge: Florida manatees are threatened by watercraft-related mortality, the potential loss of warmwater habitat, red tide events, and other anthropogenic factors. The USFWS and the Florida Fish and Wildlife Conservation Commission have regulatory authorities under the Endangered Species Act (ESA), the Marine Mammal Protection Act (MMPA), and state statutes to recover manatees. To support...
Modeling, Estimation, and Adaptive Management of Florida Manatees

Modeling, Estimation, and Adaptive Management of Florida Manatees

The Challenge: Florida manatees are threatened by watercraft-related mortality, the potential loss of warmwater habitat, red tide events, and other anthropogenic factors. The USFWS and the Florida Fish and Wildlife Conservation Commission have regulatory authorities under the Endangered Species Act (ESA), the Marine Mammal Protection Act (MMPA), and state statutes to recover manatees. To support...
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