How to use Frequency Ratio with ArcMap and Excel for prediction
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This document discusses using a modified bivariate frequency ratio method for spatial prediction in GIS and Excel. It involves calculating the spatial correlation between predictive factors and dependent factors, autocorrelation between predictive factors, and producing a susceptibility map in Excel and ArcMap. Validation is done using the area under the curve statistical method. The method calculates frequency, relative frequency, and predictor ratios to consider interrelationships among predictive factors and produce a susceptibility index map. Required data includes landcover, topographic, dependent event locations and predictive factors.
![Software's:
Microsoft Excel- Microsoft
ArcMap - ESRI
QGIS 2.18.0 - OpenSource
Data and Tools..!!
Data type Data structure Source
Landcover Raster European Environment Agency
[http://www.eea.europa.eu/data-and-
maps/data/clc-2000-raster-1
Topographic and NDVI Raster USGS
[https://earthexplorer.usgs.gov/]
Study area Vector DivaGIS
[diva-gis.org/gdata]
Training and testing
points
Vector Experimental data](https://image.slidesharecdn.com/frequencyratioingis-170302075242/85/How-to-use-Frequency-Ratio-with-ArcMap-and-Excel-for-prediction-11-320.jpg)
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How to use Frequency Ratio with ArcMap and Excel for prediction
- 1. Spatial Prediction Using Modified Bivariate Frequency Ratio Using Excel and ArcMap only ! Omar F. Althuwaynee, PhD GIS and Geomatics Engineering
- 2. Spatial Prediction Using Modified Bivariate Frequency Ratio Omar F. Althuwaynee, PhD GIS and Geomatics Engineering In this session i will talk about 1. pairwise comparison of prediction rates. 2. producing Susceptibility index maps. 3. prediction accuracy assessment (validation) using AUC. Let us begin..!
- 3. 1. Calculate the spatial correlation between; prediction factors, and the dependent factor. 2. Calculate autocorrelations between; the prediction factors, by considering their prediction importance or contribution. 3. Produce susceptibility map using; Microsoft Excel and ESRI ArcMap only. 4. Validate the prediction accuracy using; most common statistical method of Area under the curve (AUC). LET US BEGIN..! End of this session, you will be able to
- 4. Susceptibility mapping methods with GIS Bivariate-statistics-based Multivariate statistical Easy to apply and update • More realistic, accurate and sensitive to the independents • optimistic by showing evidences if further investigations needed to enhance the precision Not considering the mutual interrelationships among the independents Considering the mutual interrelationships among the independents ex. Probability statistics, like, FR (Frequency ratio) ex. Machine learning , like, ANN (artificial neural network) Common regression methods, like, LR (Logistic regression)
- 5. Model application requirements ..! Dependent factor: prediction target locations inventory (Landslides, wells, minerals test porholes). Independent factors: predisposing factors (predictors) As conditioning factors, the parameters slope angle, soil types, and land use. 1. Identification and mapping of a set of dependent (target) and independents factors that are directly or indirectly correlated. 2. Estimating the relative contribution of these independents factors in predicting of dependent factor.
- 6. What is FR..! A bivariate statistical analysis method, based on the spatial distribution (Probability) of dependent factor (landslides, pollutants), and such of the considered conditioning factors (slope, aspect, temperature, rainfall..etc..). Probabilistic analysis considers the statistical relationships between historical target locations and its conditioning factors Relative Frequency (RF) = relative density index (RDI) = Frequency Ratio (FR)
- 7. 2001 El Salvador Landslide Located Near San Salvador Newark and Sherwood District Council Natural hazards
- 8. Permit Times for Mining Exploration http://bit.ly/2keyuNP Gold mining: NYU Graduates Seeking $11 Billion of Gold in Ransacked Mine http://bit.ly/2k2ZL6C Minings and Groundwater exploration Groundwater: Agriculture Water Pump http://bit.ly/2keDeHl
- 9. Calculating FR, RF, and PR coefficients for each factor Calculating Pairwise comparison Spatial validation using AUC Producing Susceptibility index map Processing Steps..!
- 10. Calculations..!! Where FR : Frequency ratio RF : Index of the spatial association (Relative frequency ) of spatial factors and targets. PR : Predictor rate. FR = % target occurrence in each subcategory % category of an independent factor = (points in factor class total points) (factor class area total area) 𝑅𝐹 = 𝑓𝑎𝑐𝑡𝑜𝑟 𝑐𝑙𝑎𝑠𝑠 𝐹𝑅 ∑𝑓𝑎𝑐𝑡𝑜𝑟𝑐𝑙𝑎𝑠𝑠𝑒𝑠 𝐹𝑅 𝑃𝑅 = 𝑅𝐹 𝑀𝑎𝑥 − 𝑅𝐹 𝑀𝑖𝑛 𝑅𝐹 𝑀𝑎𝑥 − 𝑅𝐹 𝑀𝑖𝑛 Min 𝑆𝐼 = ∑ 𝑅𝐹 × 𝑃𝑅 𝑀𝑎𝑥 𝑅𝐹 × 𝑃𝑅 × 100 To consider the mutual interrelationships among the independents.
- 11. Software's: Microsoft Excel- Microsoft ArcMap - ESRI QGIS 2.18.0 - OpenSource Data and Tools..!! Data type Data structure Source Landcover Raster European Environment Agency [http://www.eea.europa.eu/data-and- maps/data/clc-2000-raster-1 Topographic and NDVI Raster USGS [https://earthexplorer.usgs.gov/] Study area Vector DivaGIS [diva-gis.org/gdata] Training and testing points Vector Experimental data
- 12. • Althuwaynee, Omar F., et al. "A novel ensemble bivariate statistical evidential belief function with knowledge-based analytical hierarchy process and multivariate statistical logistic regression for landslide susceptibility mapping." Catena 114 (2014): 21-36. • Sabatakakis, N., et al. "Landslide susceptibility zonation in Greece." Natural hazards 65.1 (2013): 523-543. More literature..!!