COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO 2015 P ROTOTYPE S OFTWARE F OR D ETERMINATION O F L ANDSLIDE S TATISTICS Istituto di Ricerca per la Protezione Idrogelogica, IRPI Consiglio Nazionale delle Ricerche, CNR Mauro Rossi
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO L ANDSLIDE H AZARD Landslide hazard is the probability of occurrence in a specified period and within a given area of a potentially damaging landslide of a given magnitude. The definition incorporates the concepts of location (where?), time (when, or how frequently?) and magnitude (how large?). (Guzzetti et al. 1999, 2005)
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO L ANDSLIDE H AZARD (Guzzetti et al. 1999, 2005) H L = P (M L ) × P (T L ) × P (S L ) Considering the three probability as independent: Probability of landslide size (M L ), a proxy for magnitude Probability of temporal (T L ) occurrence of landslides Probability of spatial (S L ) occurrence of landslides (landslide susceptibility)
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO SW L ANDSLIDE S TATISTICS Prototype software for determination of landslide statistics from inventory maps Investigation on the variations of the statistics of populations of landslides in different physiographical, climatic and geographical settings, through the exploitation of landslide inventory maps. Landslide size (area or volume) extracted from inventories and used to establish empirical density distributions.
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO SW L ANDSLIDE S TATISTICS Medium and large areas: power-law (‘fat’ or heavy tail) Medium and large areas: power-law (‘fat’ or heavy tail) Landslide Inventory Gives underlying frequency- area distribution
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO L ANDSLIDE S IZE D ISTRIBUTIONS
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO 2015 Landslide area, A L (m 2 ) Probability density, p(A L ) SW L ANDSLIDE S TATISTICS PDF: P(a L )CDF: P(A L ≤a L ) CDF=1CDF=0.5
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO S OFTWARE S PECIFICATION For the three probability densities the software estimates: The values of the distribution parameters The uncertainty of the parameters The software is coded in R (Open Source software environment for statistical computing and graphics The software has a twofold interface with different functionalities
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO S OFTWARE I NTERFACES The software can be used exploiting: an R script interface (BATCH) requiring a local execution a Web Processing Service (WPS) accessible using a GIS client BATCH WPS
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO SW L OGICAL S CHEMA The software has three main components devoted to the: data input preparation (I) probability density estimation (II) output generation (III)
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO I NPUT D ATA P REPARATION WPS link accessible at Download of files from
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO P ROBABILITY D ENSITY E STIMATION
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO O UTPUT P REPARATION
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO In the basic version (WPS) for each parameter the tool gives an estimate of its value: “Estimate” the standard error “Std. Err.” the estimated error variance “t_value” the correlations among the parameters “Pr(>|t|)” B ASIC SW O UTPUT
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO A DVANCED SW O UTPUT (1/3) The advanced version (BATCH) of the SW integrates the following additional features: the bootstrapped parameter uncertainty estimation, for the statistical comparison of the estimated probability distributions; the bootstrapped Kolmogorov–Smirnov test (KS test) to serve as a “goodness of fit” test providing a measure of the suitability of the different distribution types, a different version of the cumulative density function calculation, an improved use of shapefiles, allowing the automatic landslide size calculation, an improved output version, allowing the calculation of the probability density.
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO A DVANCED SW O UTPUT (2/3) PERCENTILEALPHABETATROLL 1% % % % % % % For each distribution type (DP, DPS, IG) estimated with different statistical approaches (HDE, KDE, MLE) the advanced version provides uncertainty plots and tables.
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO A DVANCED SW O UTPUT (3/3) DISTRIBUTION BOOTSTRAP SAMPLES KS_DKS_PVALUEKS_PVALUE_BOOT HDE_DPS HDE_DP HDE_IG KDE_DPS KDE_DP KDE_IG MLE_DPS MLE_DP MLE_IG The Kolmogorov-Smirnov test provides a measure of the suitability of the different distribution types. Lowest D and highest p_values identify the most appropriate distribution
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO T EST S ITES Umbria test site Umbria region Collazzone area Ivancich (Assisi)
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO A VAILABLE DATA GEOLOGICAL AND LITHOLOGICAL MAPS, realized by visual interpretation of stereo aerial photographs and field survey acitvity 1:10,000 scale (available in shapefile format). MULTI-TEMPORAL LANDSLIDE INVENTORY MAP realized by interpretation of different set of stereo aerial photographs, 1:10,000 (available in shapefile format). EVENT LANDSLIDE INVENTORY MAPS, realized mainly through field survey acitvity 1:10,000 scale (available in shapefile format). LANDUSE MAP, realized using ortho-photo maps, 1:10,000 scale, update year 2000 (available in shapefile format). DIGITAL ELEVATION MODEL, resolution 10m x 10m, realized by interpolation of digital contour line at 1:10,000 scale, (available in geotiff).
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO C OLLAZZONE STUDY AREA Area about 80 km 2
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO A VAILABLE DATA 1941 1997 1985 1977 1954 Multi-temporal landslide inventory map including shallow and, deep-seated slides. Stereo-aerial photographs taken between 1941 and Event landslide inventory maps in the period between
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO C OLLAZZONE R ESULTS For each inventory in the study area, we estimate the parameter for the three distribution using three different estimation method
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO P OTENTIAL A PPLICATIONS The software for determination of landslide statistics is suitable for: Landslide inventory comparison and evaluation Estimate of landslide magnitude Landslide hazard assessment Hazard scenario analysis
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO 2015 LAMPRE W EBSITE D5.3 Code of the “Prototype SW for landslide statistics” Report/UserGuide of the “Prototype SW for landslide statistics”
COSTARICA EVENTO DE DISEMINACIÓN Y CAPACITACIÓN | ENERO SW T RAINING Software training Configuration Running Post LAMPRE support through: direct communications short visits mail exchange web conferences web seminar