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Bartlett Budgets with Uncertainty
Ruth D. Yanai
Steven P. Hamburg, Joel D. Blum, Mary A.
Arthur, Matthew A. Vadeboncoeur, Carrie R.
Levine, KikangBae, Paul J. Lilly, Farrah R.
Ecosystem Budgets Had No Error
Yanai (1992)
Biogeochemistry
Hamburg et al. (2003) Ecosystems
How much Ca is accumulating as forests develop after
harvesting?
The 9 MELNHE stands at Bartlett were established in
2004 to answer questions about sources of Ca to
regrowing forests.
UNCERTAINTY
Natural Variability
Spatial Variability
Temporal Variability
Knowledge Uncertainty
Measurement Error
Model Error
Types of uncertainty commonly
encountered in ecosystem studies
Adapted from Harmon et al. (2007)
Yanai et al. (2012) Journal of Forestry
Monte Carlo
Simulation
Yanai, Battles, Richardson, Rastetter,
Wood, and Blodgett (2010) Ecosystems
Monte Carlo simulations use
random sampling of the
distribution of the inputs to a
calculation. After many
iterations, the distribution of
the output is analyzed.
Uncertainty in Tissue Concentration
of Tree Tissues
CVs of Ca concentrations in tree
tissues average 23% (bark), 19%
(foliage),
18% (branches) and 22% (wood).
Uncertainty in Calcium Content
of Aboveground Biomass
From young to mid: 1238 ± 396 kg Ca/ha
From mid to old: 3909 ± 892 kg Ca/ha
Omitting C3,
which was not as
young as we
Measurement Uncertainty Sampling Uncertainty
Spatial Variability
Model Uncertainty y
Error within models Error between models
Excludes areas not sampled: rock area 5%, stem area: 1%
Measurement uncertainty and spatial variation make it
difficult to estimate soil carbon and nutrient contents
precisely
Quantitative Soil
Pits
0.5 m2 frame
Excavate Forest Floor by
horizon
Mineral Soil by depth increment
Sieve and weigh in the field
Subsample for laboratory
analysis
In some studies, we excavate in
the C horizon!
C1 C2 C4 C6 C8 C9
SoilMass(ton/ha)
-150
-100
-50
0
Organic
Mineral
CV:30% 36% 5% 40% 20% 37%
CV of Age: 9% 25% 9%
CV of Site: 14%
Soil Mass in Six Stands
Three Pits per Stand
Variation is high within stand, averaging 28% CV.
Variation among pits in
soil concentrations was
no better than soil mass
CVs for soil Ca
concentrations across
pits
within depth increments
averaged
52% (exchangeable)
51% (apatite)
41% (total)
Calcium Concentrations in Six Stands
Three Pits per Stand
How much Ca is accumulating as forests develop after
harvesting?
How does this compare to changes in soil Ca pools over time?
How much Ca is accumulating as forests develop after
harvesting?
How does this compare to changes in soil Ca pools over time?
How much Ca is accumulating as forests develop after
harvesting?
How does this compare to changes in soil Ca pools over time?
Regrowing forests
can weather
apatite!
How much Ca is accumulating as forests develop after
harvesting?
How does this compare to changes in soil Ca pools over time?
Conclusions
Quantifying uncertainty is not hard
Conclusions
Quantifying uncertainty is possible
and allows confidence to be reported.
It can also guide improvements.
Measurement errors are small for
above-ground biomass. Spatial
variation is high.
Interpretation is also prone to error!
Quantifying uncertainty is possible
Be a part of QUEST!
•Find more information at:www.quantifyinguncertainty.org
• Read papers, share sample code, stay updated with QUEST News
• Email us at quantifyinguncertainty@gmail.com
• Follow us on LinkedIn and Twitter: @QUEST_RCN
QUANTIFYING UNCERTAINTY
IN ECOSYSTEM STUDIES
Levine et al. (2012) SSSAJ
Because soils are so
variable spatially,
collecting more samples
may be more important
than maximizing the
accuracy of each
sample.
C1 C2 C4 C6 C8 C9
RootMass(kg/ha)
-400
-200
0
200
Organic
Mineral
CV:54% 33% 29% 19% 12% 25%
CV of Age: 9% 29% 25%
CV of Site: 20%
Root Mass in Six Stands
Three Pits per Stand

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Yanai hb 2013 bartlett budgets

  • 1. Bartlett Budgets with Uncertainty Ruth D. Yanai Steven P. Hamburg, Joel D. Blum, Mary A. Arthur, Matthew A. Vadeboncoeur, Carrie R. Levine, KikangBae, Paul J. Lilly, Farrah R.
  • 2. Ecosystem Budgets Had No Error Yanai (1992) Biogeochemistry
  • 3. Hamburg et al. (2003) Ecosystems How much Ca is accumulating as forests develop after harvesting? The 9 MELNHE stands at Bartlett were established in 2004 to answer questions about sources of Ca to regrowing forests.
  • 4. UNCERTAINTY Natural Variability Spatial Variability Temporal Variability Knowledge Uncertainty Measurement Error Model Error Types of uncertainty commonly encountered in ecosystem studies Adapted from Harmon et al. (2007)
  • 5. Yanai et al. (2012) Journal of Forestry
  • 6. Monte Carlo Simulation Yanai, Battles, Richardson, Rastetter, Wood, and Blodgett (2010) Ecosystems Monte Carlo simulations use random sampling of the distribution of the inputs to a calculation. After many iterations, the distribution of the output is analyzed.
  • 7.
  • 8.
  • 9.
  • 10. Uncertainty in Tissue Concentration of Tree Tissues CVs of Ca concentrations in tree tissues average 23% (bark), 19% (foliage), 18% (branches) and 22% (wood).
  • 11. Uncertainty in Calcium Content of Aboveground Biomass From young to mid: 1238 ± 396 kg Ca/ha From mid to old: 3909 ± 892 kg Ca/ha Omitting C3, which was not as young as we
  • 12. Measurement Uncertainty Sampling Uncertainty Spatial Variability Model Uncertainty y Error within models Error between models Excludes areas not sampled: rock area 5%, stem area: 1% Measurement uncertainty and spatial variation make it difficult to estimate soil carbon and nutrient contents precisely
  • 14. Excavate Forest Floor by horizon Mineral Soil by depth increment
  • 15. Sieve and weigh in the field Subsample for laboratory analysis
  • 16. In some studies, we excavate in the C horizon!
  • 17. C1 C2 C4 C6 C8 C9 SoilMass(ton/ha) -150 -100 -50 0 Organic Mineral CV:30% 36% 5% 40% 20% 37% CV of Age: 9% 25% 9% CV of Site: 14% Soil Mass in Six Stands Three Pits per Stand Variation is high within stand, averaging 28% CV.
  • 18. Variation among pits in soil concentrations was no better than soil mass CVs for soil Ca concentrations across pits within depth increments averaged 52% (exchangeable) 51% (apatite) 41% (total) Calcium Concentrations in Six Stands Three Pits per Stand
  • 19. How much Ca is accumulating as forests develop after harvesting? How does this compare to changes in soil Ca pools over time?
  • 20. How much Ca is accumulating as forests develop after harvesting? How does this compare to changes in soil Ca pools over time?
  • 21. How much Ca is accumulating as forests develop after harvesting? How does this compare to changes in soil Ca pools over time? Regrowing forests can weather apatite!
  • 22. How much Ca is accumulating as forests develop after harvesting? How does this compare to changes in soil Ca pools over time?
  • 23.
  • 25. Conclusions Quantifying uncertainty is possible and allows confidence to be reported. It can also guide improvements. Measurement errors are small for above-ground biomass. Spatial variation is high. Interpretation is also prone to error! Quantifying uncertainty is possible
  • 26. Be a part of QUEST! •Find more information at:www.quantifyinguncertainty.org • Read papers, share sample code, stay updated with QUEST News • Email us at quantifyinguncertainty@gmail.com • Follow us on LinkedIn and Twitter: @QUEST_RCN QUANTIFYING UNCERTAINTY IN ECOSYSTEM STUDIES
  • 27. Levine et al. (2012) SSSAJ Because soils are so variable spatially, collecting more samples may be more important than maximizing the accuracy of each sample.
  • 28. C1 C2 C4 C6 C8 C9 RootMass(kg/ha) -400 -200 0 200 Organic Mineral CV:54% 33% 29% 19% 12% 25% CV of Age: 9% 29% 25% CV of Site: 20% Root Mass in Six Stands Three Pits per Stand

Editor's Notes

  1. For the last few years, I’ve been talking about uncertainty instead of talking in the Shoestring session. So, this year, I’m talking about uncertainty in Bartlett Budgets.I started at HB 30 years ago, in 1983. Where’s Waldo? Nora found me.
  2. Natural variability is what we most often report with sampling error. We can’t reduce natural variability, but we can describe it with more confidence.Model selection error, most often overlooked.
  3. Journal of Forestry, 2012.
  4. Rather than do anything analytical (like a Gaussian approach)
  5. RCN funded for 5 years starting this year. We just started Tweeting last week!