Statistics%20in%20WR:%20Lecture%2022

1
Statistics in WR Lecture 22

• Key Themes
• Review of concepts from Lecture 1
• Patterns in space and time from class exercises
• Principles for thinking about spatial and
  temporal variation

2
Data Cube What, Where, When
When
A data value
Where
What
3
Continuous Space-Time Data Model -- NetCDF
Time, T
Coordinate dimensions X
D
Space, L
Variable dimensions Y
Variables, V
4
Discrete Space-Time Data Model
Time, TSDateTime
TSValue
Space, FeatureID
Variables, TSTypeID
5
Hydrologic Statistics
Time Series Analysis
Geostatistics
Multivariate analysis
How do we understand space-time correlation
fields of many variables?
6
Ex 3 Patterns of Discharge, Sediment
Concentration and Load
7
Ex 4 Correlation in space and time
8
Ex 5 Trends through Time
9
Ex 6 Diurnal and Seasonal Patterns
10
Ex 7 SPARROW Modeling of Nitrogen Transport
Mean annual load of Total N
11
288 USGS sites with flow and Nitrogen data
These sites are ones that were used for the
Sparrow model that continue to be operational to
2008 http//water.usgs.gov/nawqa/sparrow/
12
Ex 8 Flood frequency analysis
100 year flood discharge
p 0.01
13
USGS Peak-FlowRegression Equationsfor 100-year
discharge
10 mile2
100 mile2
110 mile2
What happens to design flood discharge when a 10
square mile tributary joins a 100 square mile
river?
14
Ex 9 Time Evolution of Spatial Patterns
15
Texas Water Data Services
10 services 15,870 sites 81,625 series 8,549,857
records
16
Salinity Layer for Texas