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Nutrient Profile of Canadian Cranberry Stands ( Vaccinium Macrocarpon Ait .)

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

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Nutrient Profile of Canadian Cranberry Stands ( Vaccinium Macrocarpon Ait .)

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  1. Nutrient Profile of Canadian Cranberry Stands (VacciniumMacrocarponAit.) L.E. ParenT Department of soils and agrifood engineering

  2. Nutrient signature • Nutrient profiles or signatures, alsocalledionomes, are described by the vector of tissue analyticalresults • Tissue data are interpretedusing • raw concentrations (law of minimum, critical values), • ratios (Mulder chart, DRIS, stoichiometricrules, ternarydiagrams, CND) • Tissue diagnosisindicatesmisbalanced nutrients Parent L.E. - CETAQ 20 mars 2013

  3. Critical concentrations and dual relationships N Parent L.E. - CETAQ 20 mars 2013 P K Ternarysubsystem Dnutrients (1981) D(D-1)/2 dual ratios (1953)

  4. Specialproperties of compositional data • Compositional data related to eachother as constrained to unit or scale of measurement • N+P+K+…+Fv = 1000 g/kg DM • Redundancy: one component computed by difference (extra dof) • WerequireD-1 linearlyindependent and scale-invariant variables (i.e. sub-compositionallycoherent) free to range in the real space • CoDa (Aitchison, 1986; Egozcue et al., 2003) Parent L.E. - CETAQ 20 mars 2013

  5. Linearly independent balances Focal point Parent L.E. - CETAQ 20 mars 2013 Lagatu & Maume, 1936 Ln(A/B) = ln(A) – ln(B)

  6. Coordinates in the Euclidean (Hilbert) space Euclidean (Mahalanobis) distance Parent L.E. - Sigera III - São Pedro br 12-14 April 2013 N [N,P | K] D = sqrt[(xi-yi)COV-1(xi-yi)] [N | P] P

  7. Receiver operating characteristic Parent L.E. - CETAQ 20 mars 2013 YIELD (T/ha) Multivariate distance

  8. TP vs TN Parent L.E. - CETAQ 20 mars 2013

  9. Hyper-ellipsoïds Parent L.E. - CETAQ 20 mars 2013

  10. Appreciation of balances • Balance domain (statistics) •  : ; ;  •  : ; ;  •  : ; ;  • Concentration domain (direction) Parent L.E. - CETAQ 20 mars 2013

  11. Diagnostic domains (cloudberry) Parent L.E. - CETAQ 20 mars 2013

  12. Conclusion • Balance design providesunbiasednutrientdiagnosis • Nutrients are diagnosed in the balance domain and appreciated in the concentration domain Parent L.E. - CETAQ 20 mars 2013

  13. Additional 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 Parent L.E. - CETAQ 20 mars 2013

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