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Mathematical modeling
Creating mathematical expressions to represent a simplified view of real-world systems.
Subtopics:
Mathematical simulation (21 items)

Streamflow modeling (25 items)
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Results 1 - 97 of 100 listed alphabetically [list by similarity]
A Magnitude 7.1 Earthquake in the Tacoma Fault Zone-A Plausible Scenario for the Southern Puget Sound Region, Washington
Scientific description of the likely effects of a significant earthquake on this densely populated area.
A new tool to assess groundwater resources in the Mississippi embayment
Mathematical model of the groundwater system in this area includes 13 types of data and spans multiple aquifers over more than a century. This enables us to assess the quantity of groundwater, where and how it is being used, and how pumping affects it.
Acid Rain in Shenandoah National Park, Virginia
Explains acidity and acid rain and how it affects aquatic organisms. Describes the effect of acid rain on this national park, identifying areas that are at greater or lesser risk from acid rain.
Anticipated effects of development on habitat fragmentation and movement of mammals into and out of the Schoodic District, Acadia National Park, Maine
Wildlife you see in a national park or other reserved area don't know about the park boundary. Bobcat, martens, mink, and moose need different types of living space and habitat. Development outside the park affects their ability to inhabit the park.
Application of the SPARROW watershed model to describe nutrient sources and transport in the Missouri River Basin
Maps and diagrams showing how the mathematical model predicts the distribution of various pollutants within a large watershed.
Assessing carbon stocks, carbon sequestration, and greenhouse-gas fluxes in ecosystems of the United States under present conditions and future scenarios
Congress asked us (in the Energy Independence and Security Act of 2007) to figure out how to assess the effects of carbon storage, sequestration, and greenhouse gas fluxes in our ecosystems. Here's how we plan to do that.
Assessing groundwater availability in the North Atlantic Coastal Plain aquifer system
Nature, history, and distinctive characteristics of this aquifer system help us to understand the likely distribution of available groundwater.
Assessing the Vulnerability of Public-Supply Wells to Contamination: Central Valley Aquifer System near Modesto, California
Using ground-water geochemical analyses, and mathematical models, the factors affecting the quality of public water supply were identified as pumping schedule, screened interval, past land use within the recharge area, and natural geochemical conditions.
Assessing the Vulnerability of Public-Supply Wells to Contamination: Floridan Aquifer System Near Tampa, Florida
Using ground-water geochemical analyses and mathematical models, the factors affecting the quality of public water supply were identified as mixing of very recent recharge with older water, karst features, natural geochemical processes, and pumping.
Assessing the vulnerability of public-supply wells to contamination--Edwards aquifer near San Antonio, Texas
Well vulnerability results from the young age of groundwater. Karst features permit contaminants to move into the aquifer easily, leading to a well mixed aquifer; geochemical processes do not degrade contaminants quickly.
Assessing the vulnerability of public-supply wells to contamination: Rio Grande aquifer system in Albuquerque, New Mexico
Explains the natural and human-affected factors that determine the concentration of contaminants in groundwater, especially where the concentration is different at the surface than at depth, and where pumping varies with time.
Assessment of least tern and piping plover habitats on the Missouri River using remote sensing
Analysis and modeling of multispectral imagery helps to predict the suitability of sand bars for nesting of these migratory birds.
Assessment of potential additions to conventional oil and gas resources of the world (outside the United States) from reserve growth, 2012
We used mathematical models to estimate the likely increases in the estimates of the amount of oil and gas technically recoverable from existing known large fields outside the US.
Avian conservation in the Prairie Pothole Region, Northern Great Plains-Understanding the links between climate, ecosystem processes, wetland management, and bird communities
Small wetlands in this large area have hosted migratory birds for a long time, but with changes in agricultural practice and regional climate those habitats may not remain hospitable to the wild populations.
Biological resource status and trends: Conceptual modeling
Information concerning status and trends of biological resources, focusing on conceptual modeling
Biological resource status and trends: Modeling
Information concerning status and trends of biological resources, focusing on modeling
Biological resource status and trends: Predictive modeling
Information concerning status and trends of biological resources, focusing on predictive modeling
Boston Harbor Studies: the fate of sediments and contaminants in Massachusetts Bay
Boston Harbor/Massachusetts Bay Studies research project conducted as part of Boston Harbor cleanup to predict the fate of contaminants and sediments introduced to Massachusetts' coastal waters from sources that include Boston sewage outfall.
California's Central Valley Groundwater Study: A Powerful New Tool to Assess Water Resources in California's Central Valley
Modeling effort that integrates a wide variety of geographic, hydrologic, agricultural, climatic, and biological information to help local land managers address resource use issues.
Cascadia subduction zone: two contrasting models of lithospheric structure
Summary of an investigation of the Cascadia subduction zone with detailed density-modeling experiments of the crust and mantle along two transects across Vancouver Island and the Canadian margin and the other on the margin of central Oregon.
Changing Arctic Ecosystems: Updated forecast: Reducing carbon dioxide (CO2) emissions required to improve polar bear outlook
Polar bears are endangered by reduction in Arctic sea-ice concentration and by reduction in their supply of prey for food. Models shown here indicate anticipated effects on polar bear populations of several climate change scenarios.
Changing Arctic ecosystems-Research to understand and project changes in marine and terrestrial ecosystems of the Arctic
Three themes of ongoing research: forecasting polar bear and walrus population response to changing marine ecosystems; measuring wildlife population changes in the Arctic coastal plain, and wildlife communities in the boreal-Arctic transition zone.
Coastal ocean modeling at the USGS Woods Hole Field Center
Fly-by and circulation movies, effluent concentration, tidal flushing, sea level, and temperature in Massachusetts Bay and Boston Harbor
Community model for coastal sediment transport
Description of the National Community Sediment-Transport Model (NCSTM), an open source numerical model for sediment transport in coastal regions.
Computer simulation of reservoir depletion and oil flow from the Macondo well following the Deepwater Horizon blowout
This model estimates, by simulation, the reservoir pressure, flow rate, and volume of oil discharged, and the report discusses the uncertainty in the estimates.
Decision-support systems for natural-hazards and land-management issues
Three mathematical models using information about the geographic distribution and character of land surface characteristics along with proposed modifications or plausible events to determine the likely costs and benefits of actions and events.
Development of computational fluid dynamics--habitat suitability (CFD-HSI) models to identify potential passage--Challenge zones for migratory fishes in the Penobscot River
Proposed removal of dams will change the characteristics of stream flow and will affect fish that swim upstream to spawn. A mathematical model of the river flow tells us where the likely problems will be located and how the flow will change.
Discontinuous nature of kriging digital terrain models
Research exploring the mathematical properties of kriging, a widely-used surface interpolation method. The continuity properties of kriging digital terrain models over a wide range of terrain types helps hydrologists assess the usefulness of kriging for D
Drought Monitoring with VegDRI
The Vegetation Drought Response Index is a drought monitoring and mapping tool integrating satellite observations of vegetation and climate with land cover, soil characteristics, and other environmental factors.
Drought and deluge: Effects of recent climate variability on groundwater levels in eastern Arkansas
Water levels in wells completed in the Mississippi River Valley alluvial aquifer and the Sparta aquifer in eastern Arkansas respond to variability associated with annual precipitation.
Numerous downloadable software packages for carrying out analyses, modeling, and ancillary calculations in earthquake research and monitoring.
End-of-month hydrologic condition reports for New York State
Site to locate most recent or archive reports for end-of-the-month hydrologic conditions with descriptions, data, charts, and maps giving an overview of water conditions during the month for the state of New York.
EverView Data Viewer
Software and data to help people model the likely response of populations of organisms to various strategies that might be employed to remedy the effects of damaged ecosystems.
Evolution of 3-D geologic framework modeling and its application to groundwater flow studies
Methods to depict the connectedness of rock units across fault and fracture zones, allowing us to determine the distribution of geologic units, structural features, and other controlling factors, such as porosity and permeability.
Forecasting the effects of land-use and climate change on wildlife communities and habitats in the lower Mississippi Valley
Describes the analytical process by which spatial scientific information contributes to forecasts and models in support of regional and local decision-making.
Geomagnetic models
Description of magnetic models with link to on-line calculation, freeware calculator (DOS and Windows), descriptions of model types, and references.
Ground water information pages
Lead page to connect to ground water information on the Nation's ground water resources and ground water activities of the USGS. Includes links to ground-water data, news reports, publications, field techniques, models, programs, and issues.
Ground-water flow and other computer simulations for Utah
Identifies computer models in USGS publications developed to study ground water for many areas of Utah.
Housing arrangement and location determine the likelihood of housing loss due to wildfire
Using a geographic dataset of structures, with more than 5500 structures that were destroyed or damaged by wildfire since 2001, we identified the main contributors to property loss in two extensive, fire-prone regions in southern California.
Hydraulics Laboratory
Includes an indoor hydraulics laboratory available for rent. Links to meter calibrations, current meter performance, and modeling activities.
Impacts and predictions of coastal change during hurricanes
Shows how observations and modeling can help anticipate practical problems in coastal areas when hurricanes arrive. Focuses primarily on areas where people have built houses and roads that may be destroyed during storms.
Impacts of Low-Flow and Stream-Temperature Changes on Endangered Atlantic Salmon - Current Research
Recent physical changes over time, including trends toward earlier snowmelt runoff, decreasing river ice, and increasing spring water temperatures, may affect salmon populations; we want to know how important these effects are.
Integrated Science: Florida Manatees and Everglades Hydrology
Description of research and monitoring work proposed for 2008 to combine hydrologic models with manatee distribution and movement models near and within Everglades National Park.
Land-use and land-cover scenarios and spatial modeling at the regional scale
Complex geographic information can be analyzed with mathematical models to show us the spatial patterns of human building, vegetation growth, and other landscape characteristics that may result from environmental changes we may expect in the future.
Land-use planning for nearshore ecosystem services--the Puget Sound Ecosystem Portfolio Model
Describes the types of concerns and observations used to help area resource managers analyze actual or potential changes in this highly developed ecosystem.
Mapping grasslands suitable for cellulosic biofuels in the Greater Platte River Basin, United States
Study to identify grasslands that may be suitable for cellulosic feedstock production. Producing ethanol from non-cropland areas such as grassland will minimize the effects of biofuel developments on global food supplies.
Mapping, monitoring, and modeling Western Gateway Community landscape dynamics
Geospatial analysis of factors affecting communities that are adjacent to Federal lands, especially those lands subject to varying public interest and visitation.
Mineral deposit models
National Handbook of Recommended Methods for Water Data Acquisition -- Chapter 11 - Water Use
Provides standards and guidance for measuring, estimating, collecting, and analyzing water-use data. Includes brief descriptions of water-use activities, commonly used water-use terminology, and approaches and methods used in estimating water use.
National Water-Quality Assessment (NAWQA) Program
Primary homepage for the National Water Quality Assessment (NAWQA) Program studying water quality in river, aquifer and coastal water basins throughout the nation. Links to reports, data, models, maps and national synthesis studies.
Net Ecosystem Production (NEP) of the Great Plains, United States
Geographic analysis of the changes in storage and release of carbon in this large area as land use patterns, especially agriculture, have changed.
Pennsylvania fractured rock hydrology research
Links to reports for Pennsylvania on borehole geophysical studies, aquifer tests and properties, modeling, and hydrologic effects of an earthquake with links to MOC3D solute transport software package, program mission, and bibliography.
Possible effects of groundwater pumping on surface water in the Verde Valley, Arizona
We applied a groundwater model to simulate effects of groundwater pumping and artificial recharge on surface water in this area. Results show effects of pumping or recharge on streamflow.
Radio tracking manatees to assess the impact of hydrologic changes in southwest Florida
Report on the Sirenia Project use of a radio tracking study to determine manatee movement patterns and habitat to develop ecological models to understand and predict the effects of hydrologic restoration on manatees in Southwest Florida.
Regional assessments of the Nation's water quality--Improved understanding of stream nutrient sources through enhanced modeling capabilities
Studies of the sources, transport, and fate of nutrients in the streams of six major regions of the conterminous United States.
Regional climate change--Science in the Southeast
Research projects intended to create regional and national data that conform to conditions predicted by general circulation models, so that land and wildlife managers can understand the likely consequences of climatic changes in their areas of study.
Report of the Community Sediment Transport Modeling Workshop
Report on workshop to explore a community approach to improving deterministic models of sediment transport in coastal seas, estuaries, and rivers.
Resource materials for a GIS spatial analysis course
This report consists of materials prepared for a GIS spatial analysis course intended for instructors preparing spatial-modeling training and scientists with advanced GIS expertise. Downloads available in many formats (PDF, ArcView, Word, etc.)
SEAWAT: A Computer Program for Simulation of Variable-Density Groundwater Flow and Multi-Species Solute and Heat Transport
Software based on the MODFLOW modeling framework, used for studies of saltwater intrusion coastal aquifers, storage and recovery in brackish limestone aquifers, and brine migration in continental aquifers.
SPARROW Modeling of Surface-Water Quality
A software model for regional interpretation of water-quality monitoring data, estimating origin and fate of contaminants in streams, with documentation, publications and data for the applications.
San Francisco Bay Region geology
Gateway to the geology of the San Francisco Bay region with links to geologic maps, paleontology, marine geology, earthquakes, landslides, and geophysics. Includes maps, 3-D models, and photos.
Science from genes to landscapes
Explains USGS scientific research and monitoring activities focused on ecosystems, with examples from emerging diseases, invasive species, rangeland fire, and the complex interactions among organisms and human activities.
Science to support the understanding of south Texas surface-water and groundwater resources in a changing landscape
Short descriptions of the research and monitoring activities we are carrying out to assist state, local, and Federal agencies dealing with water resource issues in the southern part of the state.
Slope-Area Computation Program Graphical User Interface 1.0--A Preprocessing and Postprocessing Tool for Estimating Peak Flood Discharge Using the Slope-Area Method
Explains how to use this command-line software to estimate peak flood discharge using indirect measures such as high water marks on trees or buildings.
SolVES - Social values for ecosystem services
GIS application for assessing, mapping, and quantifying the social value of ecosystem services. Helps decision makers consider tradeoffs among them with the human attitudes and preferences that express underlying social values.
Source, Use, and Disposition of Freshwater in Puerto Rico, 2005
Quantitative analysis of water use statistics for Puerto Rico, showing domestic, agricultural, industrial, and electric power as the main offstream uses.
South Florida Information Access (SOFIA) data exchange
Provides links to the data, models and maps on the biology, ecology, geology, mapping, hydrology, and chemistry of research studies in southern Florida.
South Florida Information Access (SOFIA) projects by topic
Links to explore South Florida and the Everglades ecosystem projects arranged by topic and subtopic, including proposals, project summaries, scopes of work, work plans, publications, and contacts.
Summary of the reconnaissance investigation of the diamond resource potential and production capacity of Côte d'Ivoire
Study integrating archival reports and maps, satellite imagery, and terrain modeling to estimate resource reserves of 11,200,000 carats in two regions of the country.
Surface-water quality and flow Modeling Interest Group (SMIG)
The USGS Surface-water quality and flow Modeling Interest Group (SMIG) is interested in surface-water quality and flow modeling activities with links to articles, model archives, data archives, clearinghouse, mailing list, classes, and meetings.
Surface-water reports
Links to Office of Surface Water reports on streamgaging, streamflow data and information, current meters, sediment, modeling, journal articles, and techniques.
Terrestrial essential climate variables (ECVs) at a glance
Explains 16 distinct types of scientific information that are needed to understand climate change, including the specific parameters measured, why they are needed, who measures them, and the type and amount of information that are not yet available.
The Earth's crust
Information on the Earth's crust with a contour map of the thickness plus links to a global crustal database, a global crustal model - CRUST 5.1, and regional crustal models.
The Midwest Stream Quality Assessment
Upcoming interagency study to assess status of ecological conditions, their relationships with contaminants and nutrients, anthropogenic factors affecting these, and develop models that may predict these ecological conditions.
U.S. Geological Survey methodology development for ecological carbon assessment and monitoring
To assess the effectiveness of ecological carbon sequestration, we plan to define ecosystem reporting units, model baseline and potential carbon sequestration, develop spatial models that simulate ecosystems, and integrate remote sensing data.
UCERF3: A new earthquake forecast for California's complex fault system
Explains how we estimate the probability of earthquakes in the state of California. The underlying scientific model was improved to account for factors that can affect the severity of earthquakes.
Understanding beach health throughout the Great Lakes-Entering a new era of investigations
People who manage recreational areas need better, more timely estimates of the likelihood that the beach and lake waters will be hazardous to human health, and which factors cause those hazards.
Using geochemical and statistical tools to identify irrigated areas that might contain high selenium concentrations in surface water
Program using pattern recognition analysis and classification models to determine areas of irrigated land with concentrations of selenium.
Using models for the optimization of hydrologic monitoring
Usually we choose to put water monitoring stations in places where we have no data already. But it's more efficient to place stations so that they help to reduce uncertainty in the results of modeling. This analysis shows how to choose.
Visualization of flow alternatives, Lower Missouri River
This report presents a visual, statistical presentation of five modeled flow-management alternatives and two reference alternatives for four selected sites on the Lower Missouri to aid in decision making for flow management of the river.
Visualizing NetCDF Files by Using the EverVIEW Data Viewer
Scientific software providing graphical displays of data in NetCDF format as spatial overlays on a three-dimensional globe and views of grid-cell values in tabular form.
Water resources applications software: NCALC, Manning's n value calculation program
Software for calculating Manning's roughness coefficient values in stream channels with installation instructions for Unix and DOS systems.
Watershed modeling
Description of the development and use of models to study watersheds supporting a broad range of applications and user skills. Includes links to related memos, training, software, projects, and references
Watershed modeling applications in south Texas
Explains how mathematical simulations of watershed properties can help us understand the likely behavior of the water systems, putting the choices available to people in better perspective.
Watershed processes and modeling
Links to published materials produced by the Watershed Processes and Modeling Project on watershed model TOPMODEL, compilation of STATSGO soils data, climate change, landscape heterogeneity in ecoregions, and other links.
Watershed scale response to climate change--Black Earth Creek Basin, Wisconsin
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Cathance Stream Basin, Maine
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Clear Creek Basin, Iowa
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--East River Basin, Colorado
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Feather River Basin, California
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Flint River Basin, Georgia
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Naches River Basin, Washington
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Pomperaug River Watershed, Connecticut
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Sagehen Creek Basin, California
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Sprague River Basin, Oregon
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Starkweather Coulee Basin, North Dakota
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
Watershed scale response to climate change--Trout Lake Basin, Wisconsin
Mathematical models predict overall streamflow, runoff, subsurface flow, groundwater flow, and soil moisture in this area in response to four different greenhouse gas emission scenarios.
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U.S. Department of the Interior | U.S. Geological Survey
URL: http://www.usgs.gov/science//science/science.php?thcode=2&term=713&n=97&order=alpha