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Table 1 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 = 0.1. 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

1.57(0.067)

1.40

1.54(0.139)

1.70

1.74(0.045)

m

3.00

3.02(0.018)

2.90

2.91(0.010)

2.80

2.79(0.050)

r M

1.10

1.16(0.060)

1.30

1.35(0.054)

0.90

0.98(0.083)

r P

0.30

0.30(0.020)

0.35

0.36(0.007)

0.40

0.39(0.001)

q M

0.16

0.15(0.008)

0.17

0.16(0.011)

0.18

0.17(0.012)

q P

0.16

0.16(0.001)

0.17

0.16(0.005)

0.18

0.18(0.001)

Matrix Structuring Parameters

 

Given MLE

    

φ x

0.010

0.011(0.001)

    

φ y

-0.100

0.098(0.001)

    

ψ x

0.100

0.105(0.005)

    

ψ y

-0.200

-0.206(0.006)

    

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

0.223

0.223(0.001)

    

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

1.842

1.742(0.100)

    

ρ

0.200

0.216(0.016)

    

Genetic Parameters

 

Given MLE

    

p

0.6

0.601(0.003)

    

q

0.6

0.501(0.094)

    

D

0.08

0.068(0.012)