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Table 2 The MLEs of parameters that define circadian rhythms for three different QTL genotypes, the structure of the covariance matrix and the association between the marker and QTL in a natural population, taking the heritability of the assumed QTL as H2 = 0.4. The numbers in parentheses are the square roots of the mean square errors of the MLEs.

From: A computational model for functional mapping of genes that regulate intra-cellular circadian rhythms

Rhythmic Parameters

 

AA

Aa

aa

 

Given

MLE

Given

MLE

Given

MLE

n

1.50

1.52(0.059)

1.40

1.42(0.006)

1.70

1.71(0.060)

m

3.00

3.02(0.015)

2.90

2.90(0.009)

2.80

2.80(0.020)

r M

1.10

1.14(0.052)

1.30

1.34(0.028)

0.90

0.93(0.066)

r P

0.30

0.30(0.009)

0.35

0.35(0.002)

0.40

0.40(0.001)

q M

0.16

0.16(0.003)

0.17

0.17(0.011)

0.18

0.18(0.005)

q P

0.16

0.16(0.004)

0.17

0.17(0.003)

0.18

0.18(0.001)

Matrix Structuring Parameters

 

Given MLE

    

φ x

0.010

0.010(0.001)

    

φ y

-0.100

0.095(0.002)

    

ψ x

0.100

0.102(0.005)

    

ψ y

-0.200

0.201(0.006)

    

δ x 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF0oazdaqhaaWcbaGaemiEaGhabaGaeGOmaidaaaaa@30F0@

0.307

0.309(0.011)

    

δ y 2 MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaaiiGacqWF0oazdaqhaaWcbaGaemyEaKhabaGaeGOmaidaaaaa@30F2@

0.200

0.204(0.011)

    

ρ

0.037

0.038(0.002)

    

Genetic Parameters

 

Given MLE

    

p

0.6

0.601(0.002)

    

q

0.6

0.67(0.091)

    

D

0.08

0.067(0.022)