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Bio-inspired computational techniques
applied to the clustering and visualization
   of spatio-temporal geospatial data


        Miguel BARRETO-SANZ



                                 June 27, 2011
                                              1
More data has been created
since 2005 than in the previous
40,000 years


                              2
Geospatial data timeline                                                      2010
                                                                                        Social networks
                                                                                        Geotag
                      1992
                      Internet                                             2006
                      explosion                                            GPS
                                                                           receiver
                             1993                      2000                built into
                             It is         1997                   2005     cell
                                                       Civilian
            1980             launched      Tropical
                                                       demand
                                                                  Google   phones
             First           the 24th      Rainfall               Earth
                                                       for GPS
             commercial      Navstar       Measuring
                                                       products
1972         vendors of      satellite     Mission
Landsat 1, Geographical      completing    (TRMM)
1st civilian information     the Global
Earth        Systems (GIS)   Positioning
observation software         System
satellite




                                                                                                  3
These data are critical for
decision support, but their
value depends on our ability
to extract useful information


                                4
Challenges
NASA earth observatory                               • Highly-dimensional
(Information from several missions
e.g. Terra, TRMM, SRTM)                              • Large quantity of data
                                                     • Unlabeled samples (labeling is
                                                       expensive and time consuming
                                                       process)
                    Worldclim
                    (climate data from weather stations)

                                                  Derivate variables
                                                  Elevation   Slope       Aspect      Moisture

                      Mean annual
                    temperature (ºC)
                           -30.1

                           30.5



                                                  Landscape               Solar
                                                  Class        Exposure   Radiation   Curvature



                          Annual
                     precipitation (mm)
                           0

                           12084

                                                                                                  5
Spatio-temporal challenges
Spatio-temporal representations       Variables and clusters evolved in
at several levels                     a temporal context
                           Hours

                           Days

                           Months


                           Years


 Fuzzy boundaries in                Visualization of clusters in geographical
 geographical space                 and feature space




                                                                                6
Thesis

                                       Tree-structured SOM
                FGHSON                 component planes
                                       SOM
Colombia (Ecoregions)                  GHSOM
South America (Ecoregions)




                                        Colombia
                                        (agroecozones,
                                        ecoregions)
      Clustering
      Visualization and projection
      Spatio-temporal data
                                                         7
Visualization and projection




                               8
Visualization by using Self-organizing Maps

Data set          SOM
                  training




                                         Visualization




                             3       2
                     3           1

                                                         9
Visualization by using Self-organizing Maps




                           Exploration
  Correlation hunting




                                         Partial
                 Similar                 correlations




                                                 10
A real world problem:
     Classification of agro-ecological variables related with
              productivity in the sugar cane culture.
Climate variables.
• Average Temperature (TempAvg)       Total 54 variables
• Average Relative Humidity (RHAvg)
• Radiation (Rad)
• Precipitation (Prec)
Soil variables.
• Order (Ord)
• Texture (Tex)
• Deep (Dee)
Topographic variables.
• Landscape (Ls)
• Slope (Sl).
Other variables.
• Water Balance (WB)
• Variety (Var)
Production

                                                                11
Classical approach: scatter plot matrix
  5 Variables




                                          12
Classical approach: scatter plot matrix
23 Variables




                                          13
Classical approach: scatter plot matrix
54 Variables




                                          14
SOM component planes
5 Variables




                                     15
SOM component planes
23 Variables




                                16
54 Variables
               SOM component planes




                                      17
SOM component planes
    54 Variables




                       18
Correlation Hunting




                      19
SOM of component planes




                          20
Tree-structured SOM component planes




                                       21
Tree-structured SOM component planes
            54 Variables




                                       22
Tree-structured SOM component planes




                                       23
Clustering




             24
Hierarchical Self-organizing Structures
• It combines the advantages of the Hierarchical
  representation and Soft Competitive Learning


• In the state of the art all the methods are crisp
  approaches


• In geospatial applications crisp memberships are
  not the optimal representation of clusters.

                                                      25
Real world data and its fuzzy nature




                  Crisp




                  Fuzzy
                                       26
An approach to tackle this
problem consists in allowing
a fuzzy representation in the
hierarchical structures



                                27
Fuzzy Growing Hierarchical Self-Organizing Networks
                        FGHSON
                     Breadth grow process
Depth grow process




                                                 α-cut




                                                               α-cut




                                                                   α-cut



                                Hierarchy   Fuzzy membership               28
Case study-South America
      Cali Colombia
                     Temperature




         Similar
         Zones
                      Precipitation




                                      29
Case study-South America
      Cali Colombia




                           30
Case study-South America
      Cali Colombia
           To finding the right prototype




                                            31
Level 1




          32
Level 2




          33
Fortaleza Brazil




                Level 3




Cali Colombia
                                       34
Spatio-Temporal Clustering




                             35
Spatio-Temporal Clustering



                Time – When




Space - Where
                   Homologues places for Colombian coffee
                   production.
                   Brazil, Equator, East Africa, and New Guinea.
                                                                   36
Spatio-Temporal Clustering
           Space and time – Where and when
                       Argentina




Maize (Zea maize L.)    United States




                                             37
Spatio-Temporal Clustering
Objective: to find similar environmental zones trough time in South America.
In these experience we are looking for regions with similar patterns in time
windows of three months.




                                                                       38
Spatio-Temporal Clustering




                             39
Spatio-Temporal Clustering

                             Temperature


        Similar
        Zones to Cali
        in the period
                              Precipitation
        jan-feb-mar?



                                           40
Spatio-Temporal Clustering




                             41
Conclusions
1. Original contributions
FGHSON
• Capability to reflect the underlying structure of a dataset in a
hierarchical fuzzy way
• It does not require an a-priory definition of the number of
clusters.
•The algorithm executes self-organizing processes in parallel.
•Only three parameters are necessary to the setup of the
algorithm.


                                                                     42
Conclusions
Tree-structured SOM component planes
• It creates structures that allow the visual exploratory data
analysis of large high-dimensional datasets.
• Similarities on variables’ behavior can be easily
detected (e.g. local correlations, maximal and minimal values
and outliers).




                                                                 43
Conclusions
2. Test of methodologies for clustering and
visualization of georeferenced data
• GHSOM
• SOM
• FGHSON


3. Methodology contributions
• Clustering of spatio-temporal datasets through time by using
FGHSON.


                                                                 44
Conclusions
4. Agroecological knowledge contribution
• In sugar cane productivity
• In sugar cane agroecoregionalizacion
• In Andean blackberry production




   The COCH project




                                           45
Questions




            46

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