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a
b
c
Effect of the floor area, 20%−quantile
Mean regression
GAMLSS
Quantile regression
Effect of the floor area, 50%−quantile
Mean regression
GAMLSS
Quantile regression
Effect of the floor area, 80%−quantile
Mean regression
GAMLSS
Quantile regression
2000
2500
3000
1800
1600
2000
2500
1400
2000
1200
1500
1000
1500
800
1000
50
100
150
200
250
300
50
100
150
200
250
300
50
100
150
200
250
300
floor area
floor area
floor area
d
e
f
Effect of the plot area, 20%−quantile
Effect of the plot area, 50%−quantile
Effect of the plot area, 80%−quantile
1900
2400
1800
1400
2200
1700
1300
1600
2000
1200
1500
1800
1400
1100
Mean regression
GAMLSS
Quantile regression
Mean regression
GAMLSS
Quantile regression
Mean regression
GAMLSS
Quantile regression
1300
1600
1000
1200
200
600
1000
1400
200
600
1000
1400
200
600
1000
1400
plot area
plot area
plot area
g
h
i
Effect of the age, 20%−quantile
Mean regression
GAMLSS
Quantile regression
Effect of the age, 50%−quantile
Mean regression
GAMLSS
Quantile regression
Effect of the age, 80%−quantile
Mean regression
GAMLSS
Quantile regression
2800
2000
1500
1900
2600
1400
1800
2400
1300
1700
2200
1600
1200
2000
1500
1100
1800
1400
0
20
40
60
80
0
20
40
60
80
0
20
40
60
80
age
age
age
j
k
l
Effect of the time index, 20%−quantile
Effect of the time index, 50%−quantile
Effect of the time index, 80%−quantile
1450
2300
1800
1400
1350
2200
1700
1300
2100
1250
1600
2000
1200
Mean regression
GAMLSS
Quantile regression
Mean regression
GAMLSS
Quantile regression
Mean regression
GAMLSS
Quantile regression
1500
1150
1900
1997
2000
2003
2006
2009
1997
2000
2003
2006
2009
1997
2000
2003
2006
2009
time index
time index
time index
Fig. 5.3 Effects of the continuous structural covariates of level-1. ( a ), ( d ), ( g ), ( j ) effects of the
20 %-quantile; ( b ), ( e ), ( h ), ( k ) effects of the 50 %-quantile; ( c ), ( f ), ( i ), ( l )effectsofthe80%-
quantile
 
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