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24/02/2014
1
Asim BiswasAssistant Professor
Department of Natural Resource Sciences
Asim BiswasAssistant Professor
Department of Natural Resource Sciences
Quantifying soil spatial variability for
sustainable resource management
Quantifying soil spatial variability for
sustainable resource management
www.mcgill.ca
| 2
Background
Asim Biswas | Quantifying soil spatial variability
� B.Sc. (Agriculture) in Soil Science (East India; 2000 - 2004)
� M.Sc. (Agriculture) in Soil Science (South India; 2004 - 2006)-• Soil Pedology (soil formation and development)• Soil Mineralogy (soil mineralogical composition)
• Spatial Variability
� Ph.D. in Soil Science (Canada; May 2007 – June 2011)-• Soil Physics• Soil Hydrology (vadose-zone hydrology)
• Spatial Variability
• Pedometrics (Pedology + mathematics/statistics)
� Environmental Research Scientist (Post doc) (CSIRO; July 2011 – April 2013)
� Assistant Professor (McGill University; May 2013- Present)
www.mcgill.ca
Asim Biswas | Quantifying soil spatial variability | 3
Challenges� Change in -
• Population
• Environment• Weather and Climate• Biodiversity
• Land use and Land management
� Threats to -• Soil security (e.g. soil erosion, degradation )
• Water security (e.g. accessibility and quality)• Food security• Agricultural and natural resources
• Ecosystem and human health
www.mcgill.ca
| 4
Opportunities
Asim Biswas | Quantifying soil spatial variability
• We can not control things beyond our reach (weather
events, changing climate).
• What ever lost is lost and will not get back.
• We should not let it go what we have.
• We can manage natural resources better (soil, water).
• Manage wisely and efficiently, more sustainably.
• Need quantitative information of our natural resources.
www.mcgill.ca
| 5
Soil and its formation
Asim Biswas | Quantifying soil spatial variability
Climate
Organisms
Relief
Parent material
Time
SoilSoil propertiesProcesses
Soil properties vary from location to location
One of the 3 major natural resources
www.mcgill.ca
| 6
Characteristics of soil spatial variability
Asim Biswas | Quantifying soil spatial variability
Distance
Soil
Pro
pert
y
Similar
Similar
Distance
Soil
Pro
pert
y
Cyclic
Distance
Soil
Pro
pert
y Different mean
and variance
Spatial similarity Periodicity
Nonstationarity
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2
www.mcgill.ca
| 7
Characteristics of soil spatial variability
Asim Biswas | Quantifying soil spatial variability
Vegetation
Water storage
Topography
Water storage
Water storage
Vegetation & Topography
Nonlinearity
Non-additive
www.mcgill.ca
| 8
Characteristics of soil spatial variability
Asim Biswas | Quantifying soil spatial variability
Vegetation
Water storage
Topography
Water storage
Water storage
Vegetation & Topography
Nonlinearity
Non-additive
“No single medicine for all diseases”
• Methods to better analyze soil spatial variability.
• Use of the information to infer underlying soil processes.
• What does soil variability inform about soil development?
• Using information of soil variability for attribute prediction.
www.mcgill.ca
| 9
Soil spatial variability
Asim Biswas | Quantifying soil spatial variability
� What is the dominant scale of variation?
� Where do I sample?
� Where do I monitor?
� How do I untangle complexity to produce better
predictive relationship?
� How do I assess soil function at multiple scales?
� How do I meet user demand (farmers vs. catchment
managers)?
� What do I know on the underling processes and the
development of soil?
www.mcgill.ca
| 10
Relationship b/w soil properties
Asim Biswas | Quantifying soil spatial variability
• Difficult to measure (e.g. Ks, water retention)
• Relatively easy to measure (e.g. particle sizes, OC)
• Predictive relationship (e.g. pedotransfer functions)
• Variability in soil properties
• Variability in the relationship
2008, 89, 473-488
0 50 100 150 200
www.mcgill.ca
| 11
Geostatistical analysis
Asim Biswas | Quantifying soil spatial variability
Semivariogram of Ks Semivariogram of Sand
0 50 100 150 200
Lag Distance (m)
1.2
0.8
0.4
Sem
ivari
an
ce
Lag distance
Sem
iva
rian
ce
Sill
Nugget
Range
Spatially dependent Spatially independent
0 50 100 150 200
www.mcgill.ca
| 12
Geostatistical analysis
Asim Biswas | Quantifying soil spatial variability
Semivariogram of Ks Semivariogram of Sand
0 50 100 150 200
Lag Distance (m)
1.2
0.8
0.4
Sem
ivari
an
ce
24/02/2014
3
0
30
60
90
120
150
180
210
240
270
300
330
0.0
0.2
0.4
0.6
0.8
General data
Nugget
h=3
h=20
h=120
Silt
BD
Clay
OCKs
Sand
BD
ClaySand
SiltKs
OC
Ks
OC
Clay
Silt
BD
Sand
Clay
OC Silt
Ks
BD
Sand
Ks
Clay
OC
SiltSand
BD
Principle component 1
Pri
nci
ple
com
pon
ent
2
www.mcgill.ca
| 13
Relationship b/w soil properties
Asim Biswas | Quantifying soil spatial variability
Principle component analysis
0
30
60
90
120
150
180
210
240
270
300
330
0.0
0.2
0.4
0.6
0.8
General data
Nugget
h=3
h=20
h=120
Silt
BD
Clay
OCKs
Sand
BD
ClaySand
SiltKs
OC
Ks
OC
Clay
Silt
BD
Sand
Clay
OC Silt
Ks
BD
Sand
Ks
Clay
OC
SiltSand
BD
Principle component 1
Pri
nci
ple
com
pon
ent
2
www.mcgill.ca
| 14
Relationship b/w soil properties
Asim Biswas | Quantifying soil spatial variability
Principle component analysis
What did we get?
Information on scales of variations in soil properties
The scale-varying relationship among soil properties
www.mcgill.ca
| 15
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
www.mcgill.ca
| 16
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
N- Dynamics
- isotopes of nitrogen
- isotopic fractionation in physical, chemical and biological processes
- nitrification
- denitrification
- ammonia volatilization
- favour lighter 14N and depleted first
- N pool develops distinctly different δ15N signals
www.mcgill.ca
| 17
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
Central Saskatchewan, Canada
www.mcgill.ca
| 18
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
N- Dynamics
- isotopes of nitrogen
- isotopic fractionation in physical, chemical and biological processes
- nitrification
- denitrification
- ammonia volatilization
- favour lighter 14N and depleted first
- N pool develops distinctly different δ15N signals
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
0 50 100 150 200 250 300 350Distance (m)
Relative Elevation
δ15N
Central Saskatchewan, Canada Wavelet Transform
DistanceDistance
So
il p
rop
ert
y
24/02/2014
4
www.mcgill.ca
| 19
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
N- Dynamics
- isotopes of nitrogen
- isotopic fractionation in physical, chemical and biological processes
- nitrification
- denitrification
- ammonia volatilization
- favour lighter 14N and depleted first
- N pool develops distinctly different δ15N signals
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
0 50 100 150 200 250 300 350Distance (m)
Relative Elevation
δ15N
Central Saskatchewan, Canada Wavelet Transform
DistanceDistance
So
il p
rop
ert
y
Scaling
www.mcgill.ca
| 20
Wavelet transform
Asim Biswas | Quantifying soil spatial variability
0
20
40
60
80
Location
Pro
pert
y
0 100 200 300 400 500
40
3020
10
0
Location0 100 200
Scale
80
60
40
20
0
1
.5
0
Sca
le
www.mcgill.ca
| 21
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
N- Dynamics
- natural abundance of 15N
- isotopic fractionation in physical, chemical and biological processes
- nitrification
- denitrification
- ammonia volatilization
- favour lighter 14N and depleted first
- N pool develops distinctly different δ15N signals
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
0 50 100 150 200 250 300 350Distance (m)
Scale
(m
)
12
24
48
960 60 120 180 240 300 360
Distance (m)
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
Small variation
Large variation
Relative Elevation δ15N
www.mcgill.ca
| 22
N-dynamics and landscape characteristics
Asim Biswas | Quantifying soil spatial variability
N- Dynamics
- natural abundance of 15N
- isotopic fractionation in physical, chemical and biological processes
- nitrification
- denitrification
- ammonia volatilization
- favour lighter 14N and depleted first
- N pool develops distinctly different δ15N signals
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
0 50 100 150 200 250 300 350Distance (m)
Scale
(m
)
12
24
48
960 60 120 180 240 300 360
Distance (m)
0
-2
-4
-6Rel. E
levation
(m)
9
8
7δ1
5N
(‰
)
Small variation
Large variation
What it does?
It provides explicit information on scales and locations of variation.
Relative Elevationδ15N
www.mcgill.ca
| 23Asim Biswas | Quantifying soil spatial variability
N-dynamics and landscape characteristics
r2 = 0
Traditional correlation analysis
Wavelet coherency analysis
Correlation at different scales and locations
0
-4
Rel. E
le.
(m)
Scale
(m
)
0 60 120 180 240 300 360Distance (m)
12
24
48
96
9
8
7
δ1
5N (‰
)
High correlation
Low correlation95%
significance
‘Left’Negative
‘Right’Positive
www.mcgill.ca
| 24Asim Biswas | Quantifying soil spatial variability
N-dynamics and landscape characteristics
r2 = 0
Traditional correlation analysis
Wavelet coherency analysis
Correlation at different scales and locations
0
-4
Rel. E
le.
(m)
Scale
(m
)
0 60 120 180 240 300 360Distance (m)
12
24
48
96
9
8
7
δ1
5N (‰
)
24/02/2014
5
www.mcgill.ca
| 25Asim Biswas | Quantifying soil spatial variability
N-dynamics and landscape characteristics
r2 = 0
Traditional correlation analysis
Wavelet coherency analysis
Correlation at different scales and locations
0
-4
Rel. E
le.
(m)
Scale
(m
)
0 60 120 180 240 300 360Distance (m)
12
24
48
96
9
8
7
δ1
5N (‰
)
High correlation
Low correlation95%
significance
‘Left’Negative
‘Right’Positive
What do we get?
Variability in environmental correlations.Traditional correlation may not identify existing relationship.
www.mcgill.ca
| 26
Similarity of the spatial pattern
Asim Biswas | Quantifying soil spatial variability
www.mcgill.ca
| 27
Similarity of the spatial pattern
Asim Biswas | Quantifying soil spatial variability
� Similar relationship can be developed over time.
� Intra-season, inter-season, and inter-annual.
� The wet locations stay wet and dry locations stay dry over time.
� Identify the location with soil water storage stays close to field average.
555
Ele
vation (
m)
www.mcgill.ca
| 28
Similarity of the spatial pattern
Asim Biswas | Quantifying soil spatial variability
� Similar relationship can be developed over time.
� Intra-season, inter-season, and inter-annual.
� The wet locations stay wet and dry locations stay dry over time.
� Identify the location with soil water storage stays close to field average.
555
Ele
vation (
m)Such representative locations can be used to monitor or
validate remote sensing measurements.
?SSSAJ, 2011, 75: 1099-1109
www.mcgill.ca
| 29
Similarity between depths
Asim Biswas | Quantifying soil spatial variability
?www.mcgill.ca
| 30
Similarity between depths
Asim Biswas | Quantifying soil spatial variability
Distance (m)
Soil
wate
r sto
rage (
cm
)
0-20 cm
20-40 cm
40-60 cm
60-80 cm
80-100 cm
100-120 cm
120-140 cm
24/02/2014
6
?SSSAJ, 2011, 75: 1099-1109
www.mcgill.ca
| 31
Similarity between depths
Asim Biswas | Quantifying soil spatial variability
Distance (m)
Soil
wate
r sto
rage (
cm
)0-20 cm
20-40 cm
40-60 cm
60-80 cm
80-100 cm
100-120 cm
120-140 cm
What does it enable?
Whole profile hydrological dynamics from surface measurements.
www.mcgill.ca
| 32
Separating scale-specific variations
Asim Biswas | Quantifying soil spatial variability
�Scale-specific spatial variations
� Identify dominant scales and their relative
contribution to overall variability
Empirical mode decomposition
www.mcgill.ca
| 33
Empirical mode decomposition
Asim Biswas | Quantifying soil spatial variability
IMF 1IMF 2IMF 3IMF 4IMF 5IMF 6Residue
www.mcgill.ca
| 34Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variationsS
oil W
ate
r S
tora
ge (
cm
)
30
60 2 May 2008
-6
0
6 IMF 2-606 IMF 1
-606
IMF 3
-606 IMF 4
-6
06 IMF 5
Distance (m)
0 100 200 300 400 500
-606 IMF 6
Scale Contribution
~10 m ~6%
~40 m ~10%
~100 m ~41%
~180 m ~6%
~250 m ~5%
>280 m ~4%
>300 m ~28%
SSSAJ, 2011, 75: 1295-1306
www.mcgill.ca
| 35Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variations
IMF % Var. Cont.
Correlation
Re. Ele. Sand Silt Clay OC
1 6 0.00 0.02 -0.08 0.08 -0.01
2 10 -0.38** -0.11 0.10 0.03 0.38**
3 41 -0.70** -0.07 0.00 0.12 0.58**
4 6 -0.22* -0.26** 0.11 0.26** 0.31**
5 5 0.55** -0.59** 0.43** 0.36** 0.11
6 4 0.37** -0.57** 0.38** 0.39** 0.31**
* P < 0.05; ** P < 0.01
Var. Cont.- variance contribution, Re. Ele.-relative elevation,
OC- organic carbon
www.mcgill.ca
| 36Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variations
IMF % Var. Cont.
Correlation
Re. Ele. Sand Silt Clay OC
1 6 0.00 0.02 -0.08 0.08 -0.01
2 10 -0.38** -0.11 0.10 0.03 0.38**
3 41 -0.70** -0.07 0.00 0.12 0.58**
4 6 -0.22* -0.26** 0.11 0.26** 0.31**
5 5 0.55** -0.59** 0.43** 0.36** 0.11
6 4 0.37** -0.57** 0.38** 0.39** 0.31**
* P < 0.05; ** P < 0.01
Var. Cont.- variance contribution, Re. Ele.-relative elevation,
OC- organic carbon
What does it enable?
Scale-specific correlation.Dominant controlling factors at different scales.
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SSSAJ, 2013, 77: 1991-1995
www.mcgill.ca
| 37Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variations in two dimensions
One property may vary at one scale, while others at other scales
Bi-dimensional empirical mode decomposition
www.mcgill.ca
| 38Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variations in two dimensions
DEMScale: 705 m
Var.: 2 %
Scale: 2896 mVar.: 7 %
Scale: 3905 mVar.: 14 %
Scale: 8839 mVar.: 77 %
Scale: 7509 m
One property may vary at one scale, while others at other scales
Simmons Creek Catchment, NSW, Australia
SSSAJ, 2013, 77: 1991-1995
www.mcgill.ca
| 39Asim Biswas | Quantifying soil spatial variability
Separating scale-specific variations in two dimensions
Bi-dimensional empirical
mode decomposition
DEMScale: 705 m
Var.: 2 %
Scale: 2896 mVar.: 7 %
Scale: 3905 mVar.: 14 %
Scale: 8839 mVar.: 77 %
Scale: 7509 m
One property may vary at one scale, while others at other scales
Simmons Creek Catchment, NSW, AustraliaWhat does it enable?
Scale-specific predictionsMulti-scale digital soil mapping
www.mcgill.ca
| 40
Underlying soil processes
Asim Biswas | Quantifying soil spatial variability
• Anisotropic soil spatial variations
www.mcgill.ca
| 41
Underlying soil processes
Asim Biswas | Quantifying soil spatial variability
• Anisotropic soil spatial variations
www.mcgill.ca
| 42
Underlying soil processes
Asim Biswas | Quantifying soil spatial variability
• Anisotropic soil spatial variations
What it indicated?
Development and modifications of soil in the landscape.
24/02/2014
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www.mcgill.ca
| 43
Summary
Asim Biswas | Quantifying soil spatial variability
�Optimize sampling strategy and experimental design
• Scales of hydrological processes
� Identify representative locations for monitoring
� Previously hidden predictive relationship
� Infer at depth from surface measurements
� Identify environmental controls at different scales
� Scale-specific prediction
� Multi-scale digital soil mapping Thank YouThank YouContactDepartment of Natural Resource Sciences
E-mail: [email protected]: (514) 398 7620, Fax: (514) 398 7990Website: http://nrs-staff.mcgill.ca/biswas