nutrient profile of canadian cranberry stands ( vaccinium macrocarpon ait .)
DESCRIPTION
Nutrient Profile of Canadian Cranberry Stands ( Vaccinium Macrocarpon Ait .). L.E. ParenT Department of soils and agrifood engineering. Nutrient signature. Nutrient profiles or signatures, also called ionomes , are described by the vector of tissue analytical results - PowerPoint PPT PresentationTRANSCRIPT
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Nutrient Profile of Canadian Cranberry Stands (Vaccinium Macrocarpon Ait.)L.E. PARENTDEPARTMENT OF SOILS AND AGRIFOOD ENGINEERING
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2Nutrient signature
Nutrient profiles or signatures, also called ionomes, are described by the vector of tissue analytical results
Tissue data are interpreted using raw concentrations (law of minimum, critical values), ratios (Mulder chart, DRIS, stoichiometric rules, ternary
diagrams, CND) Tissue diagnosis indicates misbalanced nutrients
Parent L.E. - CETAQ 20 mars 2013
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Parent L.E. - CETAQ 20 mars 2013
3Critical concentrations and dual relationships
D(D-1)/2 dual ratios (1953)D nutrients (1981) Ternary subsystem
N
KP
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Parent L.E. - CETAQ 20 mars 2013
4Special properties of compositional data
Compositional data related to each other as constrained to unit or scale of measurement N+P+K+…+Fv = 1000 g/kg DM
Redundancy: one component computed by difference (extra dof)
We require D-1 linearly independent and scale-invariant variables (i.e. sub-compositionally coherent) free to range in the real space
CoDa (Aitchison, 1986; Egozcue et al., 2003)
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Parent L.E. - CETAQ 20 mars 2013
5Linearly independent balances
Focalpoint
Ln(A/B) = ln(A) – ln(B)
Lagatu & Maume, 1936
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Parent L.E. - Sigera III - São Pedro br 12-14 April 2013
6Coordinates in the Euclidean (Hilbert) space
[N,P
| K]
[N | P]
N
P
Euclidean (Mahalanobis) distance
D = sqrt[(xi-yi)COV-1(xi-yi)]
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Parent L.E. - CETAQ 20 mars 2013
7Receiver operating characteristic
Multivariate distance
YIEL
D (T
/ha)
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Parent L.E. - CETAQ 20 mars 2013
8TP vs TN
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Parent L.E. - CETAQ 20 mars 2013
9Hyper-ellipsoïds
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10Appreciation of balances
Balance domain (statistics) : ; ; : ; ; : ; ;
Concentration domain (direction)
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Parent L.E. - CETAQ 20 mars 2013
11Diagnostic domains
(cloudberry)
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Parent L.E. - CETAQ 20 mars 2013
12Conclusion
Balance design provides unbiased nutrient diagnosis
Nutrients are diagnosed in the balance domain and appreciated in the concentration domain
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Parent L.E. - CETAQ 20 mars 2013
13Additional information
R, Codapack S Marchand, S-E Parent, J-P Deland, L-E Parent.
Nutrient signature of Quebec (Canada) cranberry (Vaccinium macrocarpon Ait.). Rev. Bras. Frutic. vol.35 no.1 pp. 292-304, Jaboticabal March 2013