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附表 1 GAMs 模式配適的方程式及判定係數(R2)。S 代表平滑函數。
Observed
Value GAMs model’s formula R2 Total
production
log(total production)~as.factor(year)+site+
s(temp,bs='ts')+s(prec,bs='ts') +s(month,bs='ts') 0.563 Taiwan
cypress-leaf
log(cypressleaf)~as.factor(year)+site+
s(temp,bs='ts')+s(prec,bs='ts') +s(month,bs='ts') 0.627 Carbon
concentration
tc~as.factor(year)+ site +
s(temp,bs='ts')+s(prec,bs='ts')+s(month,bs='ts') 0.691 Nitrogen
concentration
tn~as.factor(year)+ site+
s(temp,bs='ts')+s(prec,bs='ts')+ +s(month,bs='ts') 0.565 Potassium
concentration
k~as.factor(year)+ site+
s(prec,bs='ts')+s(temp,bs='ts')+ s(month,bs='ts') 0.577 Calcium
concentration
ca~as.factor(year)+ site+
s(prec,bs='ts')+s(temp,bs='ts')+age+s(month,bs='ts') 0.346 Magnesium
concentration
mg~as.factor(year)+ site+
s(prec,bs='ts')+s(temp,bs='ts')+age+s(month,bs='ts') 0.286
-3 -2 -1 0 1 2 3
-50005001000
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
200 400 600 800
-50005001000
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Frequency
-500 0 500 1000
0100300500700
200 400 600 800
050010001500
Response vs. Fitted Values
Fitted Values
Response
附圖 1-1 枯落物總產量 GAMs 配適模式合適性之基本檢測圖。
formula：Total production =
as.factor(year)+age+s(month,bs=’ts’)+s(temp,bs=’ts’)+s(prec,bs=’ts’)
-3 -2 -1 0 1 2 3
-3-2-1012
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
4.0 4.5 5.0 5.5 6.0 6.5
-3-2-1012
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 1-2 枯落物總產量 GAMs 配適模式合適性之基本檢測圖。
formula：log (Total production) =
as.factor(year)+age+s(month,bs=’ts’)+s(temp,bs=’ts’)+s(prec,bs=’ts’)
-3 -2 -1 0 1 2 3
-50005001000
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
0 100 200 300 400 500 600 700
-50005001000
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 2-1 臺灣扁柏葉枯落物量 GAMs 配適模式合適性之基本檢測圖。
formula：cypress-leaf litterfall =
as.factor(year)+age+s(month,bs=’ts’)+s(temp,bs=’ts’)+s(prec,bs=’ts’)
-3 -2 -1 0 1 2 3
-3-2-101
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
3.5 4.0 4.5 5.0 5.5 6.0 6.5
-3-2-101
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 2-2 臺灣扁柏葉枯落物量 GAMs 配適模式合適性之基本檢測圖。
formula：log ( cypress-leaf litterfall ) =
as.factor(year)+age+s(month,bs=’ts’)+s(temp,bs=’ts’)+s(prec,bs=’ts’)
-3 -2 -1 0 1 2 3
-40-2002040
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
500 510 520 530 540 550
-40-2002040
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Frequency
-40 -20 0 20 40
0100200300400500
500 510 520 530 540 550
480500520540560
Response vs. Fitted Values
Fitted Values
Response
附圖 3 臺灣扁柏葉枯落物碳元素濃度 GAMs 配適模式合適性之基本檢測圖。
Fomula: carbon = as.factor(year) + site + s(temp, bs='ts') + s(prec, bs='ts') + s(month, bs='ts')
-3 -2 -1 0 1 2 3
-4-2024
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
6 7 8 9 10 11
-4-2024
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 4 臺灣扁柏葉枯落物氮元素濃度 GAMs 配適模式合適性之基本檢測圖。
Fomula: nitrogen = as.factor(year) + site + s(temp, bs='ts') + s(prec, bs='ts') + s(month, bs='ts')
-3 -2 -1 0 1 2 3
-1.00.00.51.01.5
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0
-1.00.00.51.01.5
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 5 臺灣扁柏葉枯落物鉀元素濃度 GAMs 配適模式合適性之基本檢測圖。
Fomula: potassium = as.factor(year) + site + s(temp, bs='ts') + s(prec, bs='ts') + s(month, bs='ts')
-3 -2 -1 0 1 2 3
-505
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
11 12 13 14 15 16 17
-505
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 6 臺灣扁柏葉枯落物鈣元素濃度 GAMs 配適模式合適性之基本檢測圖。
Fomula: calcium = as.factor(year) + site + s(temp, bs='ts') + s(prec, bs='ts') + s(month, bs='ts')
-3 -2 -1 0 1 2 3
-0.50.00.51.0
Normal Q-Q Plot
Theoretical Quantiles
Sample Quantiles
0.9 1.0 1.1 1.2 1.3 1.4
-0.50.00.51.0
Resids vs. linear pred.
linear predictor
residuals
Histogram of residuals
Residuals
Response vs. Fitted Values
Fitted Values
Response
附圖 7 臺灣扁柏葉枯落物鎂元素濃度 GAMs 配適模式合適性之基本檢測圖。
Fomula: magnesium = as.factor(year) + site +
s(temp, bs='ts') + s(prec, bs='ts') + s(month, bs='ts')
3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0
3.54.04.55.05.56.06.57.0
Log fitted total litterfall
Log observed total litterfall
Total litterfall
R2= 0.84
3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5
3.03.54.04.55.05.56.06.5
Log fitted Taiwan yellow false cypress leaf litter
Log observed Taiwan yellow false cypress leaf litter
Taiwan yellow false cypress leaf litter
R2= 0.87
附圖 8 對數轉換後枯落物總產量及臺灣扁柏葉枯落物量觀測值平均與預測值平均之散布 圖。橫軸為觀測值，縱軸為 GAMs 模式之預測值，實線為 45°直線，虛線為迴歸線。
490 500 510 520 530 540 550 560
490500510520530540550560
Fitted carbon concentration ( mg g −1 ) Observed carbon concentration ( mg g −1 )
R2= 0.94
Carbon
6 7 8 9 10 11 12
6789101112
Fitted nitrogen concentration ( mg g −1 ) Observed nitrogen concentration ( mg g −1 )
Nitrogen
R2= 0.95
0.5 1.0 1.5 2.0
0.51.01.52.0
Fitted Potassium concentration ( mg g −1 )
Observed Potassium concentration ( mg g −1 ) Potassium
R2= 0.9
11 12 13 14 15 16 17
11121314151617
Fitted Calcium concentration ( mg g −1 ) Observed Calcium concentration ( mg g −1 )
Calcium
R2= 0.95
0.8 1.0 1.2 1.4
0.81.01.21.4
Fitted Magnesium concentration ( mg g −1 ) Observed Magnesium concentration ( mg g −1 )
Magnesium
R2= 0.82
附圖 9 臺灣扁柏葉枯落物各元素濃度觀測值平均與預測值平均之散布圖。橫軸為觀測值，
縱軸為 GAMs 模式之預測值，實線為 45°直線，虛線為迴歸線。