Paired watershed studies
• Watersheds are
unreplicated
• It’s difficult to find suitable
replicate watersheds and
expensive to treat them
• Uncertainty analysis can be
used to report statistical
confidence
Andréassian 2004 Journal of
Hydrology 29:1-27
W6
W5
• Net hydrologic flux = precipitation inputs minus stream outputs
• W5 - whole tree harvest during winter of 1983-1984
• All trees >5 cm dbh were removed (boles and branches)
• Purpose: evaluate impact of this more intensive management
practice on nutrient removals and site productivity
Uncertainty in the flux of Ca
Water year (June 1)
1960 1970 1980 1990 2000 2010
Nethydrologicflux(kgha-1yr-1)
-24
-21
-18
-15
-12
-9
-6
-3
0
W6 (reference)
W5 (harvested)
Ca response to harvesting
Harvest
Calcium data courtesy G.E. Likens
Sources of uncertainty
Precipitation
• Interpolation model
• Collector undercatch
• Chemical analysis
• Gaps in chemistry
Stream water
• Watershed area
• Rating curve
• Gaps in discharge
• Chemical analysis
• Streamwater interpolation
model
Precipitation interpolation method
0 1000 m
1000 1600 mm
Precip. gage
Watershed
Precip.
W6 W5 W4
W2
W3
W7
W8
W9
W1 W6 W5 W4
W2
W3
W7
W8
W9
W1
W6 W5 W4
W2
W3
W7
W8
W9
W1
W6 W5 W4
W2
W3
W7
W8
W9
W1
Kriging
W6 W5 W4
W2
W3
W7
W8
W9
W1
Inverse distance
weighting
Thiessen polygon
Spline
Regression
Precipitation interpolation method
W1 W2 W3 W4 W5 W6 W7 W8 W9
Annualprecip.(mm)
1340
1360
1380
1400
1420
1440
1460
1480
1500
1520
Thiessen
Kriging
IDW
Spline
Regression
Uncertainty = 0.6%
Chemical analyses
Uncertainty = 1.0%
• Precision describes the
variation in replicate
analysis of the same
sample
• At Hubbard Brook, one
sample of every 40 is
analyzed four times
Watershed area
Watershed area
W6
Uncertainty = 2.3%
Gaps in streamflow
• 7% of streamflow record is gaps
• 65% due to the chart recorder (53% clock)
Streamflow
Monte Carlo approach
Watershed Area
Net Hydrologic Flux
Etc.
Calculation
Ca response to harvesting
Harvest
Water year (June 1)
1960 1970 1980 1990 2000 2010
Nethydrologicflux(kgha-1yr-1)
-24
-21
-18
-15
-12
-9
-6
-3
0
W6 (reference)
W5 (harvested)
Harvest
Ca response to harvesting
W6 Ca Net hydrologic flux (kg/ha/yr)
-25 -20 -15 -10 -5 0
W5Canethydrologicflux(kg/ha./yr)
-25
-20
-15
-10
-5
0
Contributions to uncertainty
• Stream chemistry sampling interval
• Rating curve at high flow
Other sources of Uncertainty
Source of excess Ca in W5
• Dissolution of calcium oxalate, which is common in
plant tissue and is known to accumulate in forest
soils (Bailey et al. 2002).
• Dissolution of nonsilicate minerals, such as calcite
and apatite, which are more rapidly weathered
than silicate minerals (Hamburg et al. 2003).

Campbell 2014 esa workshop

  • 1.
    Paired watershed studies •Watersheds are unreplicated • It’s difficult to find suitable replicate watersheds and expensive to treat them • Uncertainty analysis can be used to report statistical confidence Andréassian 2004 Journal of Hydrology 29:1-27
  • 2.
    W6 W5 • Net hydrologicflux = precipitation inputs minus stream outputs • W5 - whole tree harvest during winter of 1983-1984 • All trees >5 cm dbh were removed (boles and branches) • Purpose: evaluate impact of this more intensive management practice on nutrient removals and site productivity Uncertainty in the flux of Ca
  • 3.
    Water year (June1) 1960 1970 1980 1990 2000 2010 Nethydrologicflux(kgha-1yr-1) -24 -21 -18 -15 -12 -9 -6 -3 0 W6 (reference) W5 (harvested) Ca response to harvesting Harvest Calcium data courtesy G.E. Likens
  • 4.
    Sources of uncertainty Precipitation •Interpolation model • Collector undercatch • Chemical analysis • Gaps in chemistry Stream water • Watershed area • Rating curve • Gaps in discharge • Chemical analysis • Streamwater interpolation model
  • 5.
    Precipitation interpolation method 01000 m 1000 1600 mm Precip. gage Watershed Precip. W6 W5 W4 W2 W3 W7 W8 W9 W1 W6 W5 W4 W2 W3 W7 W8 W9 W1 W6 W5 W4 W2 W3 W7 W8 W9 W1 W6 W5 W4 W2 W3 W7 W8 W9 W1 Kriging W6 W5 W4 W2 W3 W7 W8 W9 W1 Inverse distance weighting Thiessen polygon Spline Regression
  • 6.
    Precipitation interpolation method W1W2 W3 W4 W5 W6 W7 W8 W9 Annualprecip.(mm) 1340 1360 1380 1400 1420 1440 1460 1480 1500 1520 Thiessen Kriging IDW Spline Regression Uncertainty = 0.6%
  • 7.
    Chemical analyses Uncertainty =1.0% • Precision describes the variation in replicate analysis of the same sample • At Hubbard Brook, one sample of every 40 is analyzed four times
  • 8.
  • 9.
  • 10.
    Gaps in streamflow •7% of streamflow record is gaps • 65% due to the chart recorder (53% clock)
  • 11.
    Streamflow Monte Carlo approach WatershedArea Net Hydrologic Flux Etc. Calculation
  • 12.
    Ca response toharvesting Harvest Water year (June 1) 1960 1970 1980 1990 2000 2010 Nethydrologicflux(kgha-1yr-1) -24 -21 -18 -15 -12 -9 -6 -3 0 W6 (reference) W5 (harvested) Harvest
  • 13.
    Ca response toharvesting W6 Ca Net hydrologic flux (kg/ha/yr) -25 -20 -15 -10 -5 0 W5Canethydrologicflux(kg/ha./yr) -25 -20 -15 -10 -5 0
  • 14.
  • 17.
    • Stream chemistrysampling interval • Rating curve at high flow Other sources of Uncertainty
  • 18.
    Source of excessCa in W5 • Dissolution of calcium oxalate, which is common in plant tissue and is known to accumulate in forest soils (Bailey et al. 2002). • Dissolution of nonsilicate minerals, such as calcite and apatite, which are more rapidly weathered than silicate minerals (Hamburg et al. 2003).