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

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Nutrient Profile of Canadian Cranberry Stands (Vaccinium Macrocarpon Ait.)L.E. PARENTDEPARTMENT OF SOILS AND AGRIFOOD ENGINEERING

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

3Critical concentrations and dual relationships

D(D-1)/2 dual ratios (1953)D nutrients (1981) Ternary subsystem

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)

5Linearly independent balances

Focalpoint

Ln(A/B) = ln(A) – ln(B)

Lagatu & Maume, 1936

Parent L.E. - Sigera III - São Pedro br 12-14 April 2013

6Coordinates in the Euclidean (Hilbert) space

[N | P]

Euclidean (Mahalanobis) distance

D = sqrt[(xi-yi)COV-1(xi-yi)]

7Receiver operating characteristic

Multivariate distance

8TP vs TN

9Hyper-ellipsoïds

10Appreciation of balances

Balance domain (statistics) : ; ; : ; ; : ; ;

Concentration domain (direction)

11Diagnostic domains

(cloudberry)

12Conclusion

Balance design provides unbiased nutrient diagnosis

Nutrients are diagnosed in the balance domain and appreciated in the concentration domain

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

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