Baseline characteristics
A total of 11,375 respondents were included in this study based on the inclusion and exclusion criteria (Figure 1), and the average age of the participants was 38.62 ± 12.23 years(Table 1). The mean (SD) concentrations of 25(OH)D and total BMD were 66.40 ± 26.10 nmol/L and 1.11 ± 0.11 g/cm2, respectively. Table 1 lists the clinical features of the study participants, and column stratified grouping was based on 25(OH)D by dividing all participants equally into three groups by number. In comparison to those in the bottom tertile, those in the top tertile with higher 25(OH)D levels were more likely to be older and richer, have a greater proportion of Non-Hispanic White individuals, and have higher levels of education, and more alcohol intake, but lower levels BMI (P < 0.05). The higher 25(OH)D level groups seem to have more physical activity and less sedentary activity but with no statistical significance (P > 0.05).
Table 1. Baseline Characteristics of Participants (N =11 375)
Characteristic
|
25(OH)D(nmol/L)
|
P-value
|
Q1, <47.9
|
Q2, ≥47.9 to <67.9
|
Q3, ≥67.9
|
Genger, %
|
|
|
|
<0.0001
|
Male
|
52.39
|
53.84
|
46.09
|
|
Female
|
47.61
|
46.16
|
53.91
|
|
Age (years, mean ± SD)
|
36.52 ± 11.95
|
37.56 ± 12.08
|
40.53 ± 12.21
|
<0.0001
|
Race, %
|
|
|
|
<0.0001
|
Mexican American
|
18.15
|
13.68
|
4.78
|
|
Other Hispanic
|
8.61
|
9.54
|
5.14
|
|
Non-Hispanic White
|
31.94
|
58.6
|
78.88
|
|
Non-Hispanic Black
|
28.3
|
8.18
|
3.99
|
|
Other Race - Including Multi-Racial
|
13.01
|
9.99
|
7.2
|
|
Educational Level, %
|
|
|
|
<0.0001
|
Less than High school
|
17.42
|
15.55
|
10.26
|
|
High school graduate/GED or equivalent
|
26.04
|
22.34
|
20.85
|
|
Some college or AA degree or above
|
56.54
|
62.11
|
68.89
|
|
PIR,(, mean ± SD)
|
2.33 ± 1.58
|
2.74 ± 1.65
|
3.23 ± 1.67
|
<0.0001
|
BMI, (kg/m2, mean ± SD)
|
30.37 ± 7.66
|
29.16 ± 6.66
|
27.53 ± 6.02
|
<0.0001
|
BMD, (g/cm2, mean ± SD)
|
1.12 ± 0.11
|
1.11 ± 0.10
|
1.12 ± 0.11
|
0.0096
|
Serum Cotinine ,(ng/mL, mean ± SD)
|
64.99 ± 133.16
|
60.79 ± 129.95
|
59.20 ± 130.23
|
0.1791
|
Alcohol Consumption Frequency, %
|
|
|
|
<0.0001
|
Weekly Drink
|
29.57
|
33.55
|
41.33
|
|
Monthly Drink
|
24.36
|
25.78
|
23.94
|
|
Yearly Drink
|
19.27
|
18.58
|
17.81
|
|
No Drink
|
26.8
|
22.09
|
16.92
|
|
Physical Activity,(MET-min/week, mean ± SD)
|
72.53 ± 155.35
|
90.93 ± 274.16
|
86.84 ± 292.45
|
0.0156
|
Sedentary Activity,(min/day, mean ± SD)
|
395.21 ± 216.18
|
379.25 ± 203.64
|
387.23 ± 202.02
|
0.0089
|
Abbreviations: 25(OH)D=25-hydroxyvitamin D. BMD=bone mineral density. BMI=Body Mass Index. GED= General Educational Development. PIR= family income to poverty ratio. MET= Metabolic Equivalent of Task.
The Univariate analysis of BMD
This single-factor analysis table presents statistical insights into the relationships between various factors and bone mineral density (BMD). The findings revealed significant correlations between BMD and factors such as 25 (OH)D, gender, age, body mass index (BMI), race, education level, family income to poverty ratio, physical activity, and sedentary Activity (Table 2).
Table 2. The results of univariate analysis for BMD(g/cm2)
Covariate
|
Statistics
|
β (95%CI)
|
P-value
|
Genger, %
|
|
|
|
Male
|
5647 (49.6440%)
|
Reference
|
|
Female
|
5728 (50.3560%)
|
-0.0682 (-0.0719, -0.0645)
|
<0.000001
|
Age, year
|
37.7509 ± 12.3740
|
-0.0007 (-0.0008, -0.0005)
|
<0.000001
|
Race, n (%)
|
|
|
|
Mexican American
|
1792 (15.7538%)
|
Reference
|
|
Other Hispanic
|
1198 (10.5319%)
|
0.0003 (-0.0088, 0.0094)
|
0.946123
|
Non-Hispanic White
|
3897 (34.2593%)
|
0.0157 (0.0094, 0.0220)
|
0. 000001
|
Non-Hispanic Black
|
2351 (20.6681%)
|
0.0763 (0.0681, 0.0844)
|
<0.000001
|
Other Race - Including Multi-Racial
|
2137 (18.7868%)
|
0.0001 (-0.0084, 0.0086)
|
0. 985001
|
Educational Level, n (%)
|
|
|
|
Less than High school
|
1200 (21.25%)
|
Reference
|
|
High school graduate/GED or equivalent
|
1424 (25.22%)
|
0.0093 (0.0004, 0.0182)
|
0.039701
|
Some college or AA degree or above
|
3023 (53.53%)
|
0.0170 (0.0092, 0.0249)
|
0.000022
|
PIR(, mean ± SD)
|
2.4055 ± 1.6457
|
0.0033 (0.0021, 0.0045)
|
<0.000001
|
BMI(kg/m2, mean ± SD)
|
28.7293 ± 6.9396
|
0.0023 (0.0020, 0.0025)
|
<0.000001
|
25(OH)D (nmol/L, mean ± SD)
|
60.0717 ± 24.9127
|
-0.0001 (-0.0002, -0.0000)
|
0. 033972
|
Serum Cotinine(ng/mL, mean ± SD)
|
58.6813 ± 126.6446
|
0.0000 (0.0000, 0.0000)
|
0.018797
|
Alcohol Consumption Frequency, %
|
|
|
|
Weekly Drink
|
3346 (29.4154%)
|
Reference
|
|
Monthly Drink
|
2684 (23.5956%)
|
-0.0072 (-0.0123, -0.0022)
|
0.005241
|
Yearly Drink
|
2179 (19.1560%)
|
-0.0153 (-0.0209, -0.0098)
|
<0.000001
|
No Drink
|
3166 (27.8330%)
|
-0.0325 (-0.0378, -0.0272)
|
<0.000001
|
Physical Activity(MET-min/week, mean ± SD)
|
84.6093 ± 272.5475
|
0.0000 (0.0000, 0.0000)
|
<0.000001
|
Sedentary Activity (min/day, mean ± SD)
|
371.9213 ± 203.7819
|
-0.0000 (-0.0000, -0.0000)
|
0.033240
|
Abbreviations: 25(OH)D=25-hydroxyvitamin D. BMD=bone mineral density. BMI=Body Mass Index. GED= General Educational Development. PIR= family income to poverty ratio. MET= Metabolic Equivalent of Task.
Notably, a surge in family income to poverty ratio(PIR) and an increase in BMI were strongly positively correlated with bone mineral density (BMD), with regression coefficients of β= 0.0033 (95% CI: 0.0021, 0.0045) and β= 0.0023 (95% CI: 0.0020, 0.0025), respectively. Age was negatively correlated with BMD (β = -0.0007, 95% CI: -0.0008, -0.0005). Female showed lower BMD than male( β =-0.0682,, 95% CI: -0.0719, -0.0645) .Significant variations in BMD were detected among the different racial groups, with Non-Hispanic White and Non-Hispanic Black individuals exhibiting notably greater BMD than did the reference group (β =0.0157, 95% CI: 0.0094, 0.0220; β = 0.0763, 95% CI: 0.0681, 0.0844). Moreover, higher education levels are associated with increased BMD (β = 0.0170, 95% CI: 0.0092, 0.0249) (Table 2). More physical activity and less sedentary activity are associated with increased BMD levels.
Association between 25(OH)D and total BMD
Table 3 shows the results of the multivariate regression analysis to examine the relationship between 25(OH)D levels and total BMD (Bone Mineral Density) across three models: Crude, Model I, and Model II. 25(OH)D is negatively associated with BMD in the Crude model. After adjustment, the relationship is positive, with β values increasing from 0.0003 in Model Ⅰ to 0.0004 in Model II, all showing highly significant P-values (<0.000001). This indicates a robust positive effect of higher 25(OH)D levels on BMD across adjusted models.
Table 3. Relationship between 25(OH)D(nmol/L) and total BMD(g/cm2)
|
Crude Model
|
Model Ⅰ
|
Model Ⅱ
|
β (95%CI)
|
P-value
|
β (95%CI)
|
P-value
|
β (95%CI)
|
P-value
|
25(OH)D(nmol/L)
|
-0.0001 (-0.0002, -0.0000)
|
0.033972
|
0.0003 (0.0002, 0.0004)
|
<0.000001
|
0.0004 (0.0003, 0.0004)
|
<0.000001
|
Subgroup by 25(OH)D (nmol/L)
|
|
|
|
|
|
|
Q1, <47.9
|
Reference
|
|
Reference
|
|
Reference
|
|
Q2, ≥47.9 to <67.9
|
-0.0060 (-0.0113, -0.0007)
|
0.025534
|
0.0068 (0.0017, 0.0118)
|
0.008376
|
0.0079 (0.0030, 0.0129)
|
0.001687
|
Q3, ≥67.9
|
0.0007 (-0.0043, 0.0057)
|
0.791956
|
0.0217 (0.0166, 0.0267)
|
<0.000001
|
0.0259 (0.0208, 0.0309)
|
<0.000001
|
P value for trend
|
<0.001
|
|
< 0.001
|
|
<0.001
|
|
Stratified by Gender
|
|
|
|
|
|
|
Male
|
0.0003 (0.0002, 0.0004)
|
<0.000001
|
0.0006 (0.0005, 0.0007)
|
<0.000001
|
0.0007 (0.0005, 0.0008)
|
<0.000001
|
Female
|
-0.0001 (-0.0002, -0.0000)
|
0.018309
|
0.0001 (-0.0000, 0.0002)
|
0.177592
|
0.0001 (0.0000, 0.0002)
|
0.002754
|
Stratified by Age
(year)
|
|
|
|
|
|
|
18-39.9
|
-0.0001 (-0.0002, 0.0000)
|
0.107554
|
0.0003 (0.0002, 0.0004)
|
< 0.000001
|
0.0004 (0.0003, 0.0005)
|
<0. 000001
|
40-59
|
-0.0000 (-0.0001, 0.0001)
|
0.991721
|
0.0003 (0.0001, 0.0004)
|
0.000003
|
0.0003 (0.0002, 0.0004)
|
<0. 000001
|
Stratified by Race
|
|
|
|
|
|
|
Mexican American
|
0.0003 (0.0000, 0.0005)
|
0.024763
|
0.0003 (0.0001, 0.0005)
|
0.008778
|
0.0005 (0.0002, 0.0007)
|
0.000134
|
Other Hispanic
|
0.0001 (-0.0002, 0.0004)
|
0.386483
|
0.0003 (0.0000, 0.0005)
|
0.044297
|
0.0003 (0.0001, 0.0006)
|
0.011908
|
Non-Hispanic White
|
0.0000 (-0.0001, 0.0002)
|
0.519281
|
0.0003 (0.0002, 0.0004)
|
0.000007
|
0.0004 (0.0002, 0.0005)
|
<0.000001
|
Non-Hispanic Black
|
-0.0001 (-0.0003, 0.0001)
|
0.419328
|
0.0002 (-0.0000, 0.0004)
|
0.088385
|
0.0003 (0.0001, 0.0005)
|
0.003132
|
Other Race - Including Multi-Racial
|
0.0002 (-0.0000, 0.0004)
|
0.067969
|
0.0004 (0.0002, 0.0006)
|
0.000044
|
0.0004 (0.0002, 0.0006)
|
0.003132
|
Data were presented as β(95%CI) P value.
Abbreviations: 25(OH)D=25-hydroxyvitamin D. BMD=Bone Mineral Density. BMI=Body Mass Index.
Model Ⅰ adjusted for gender, age and race.
Model Ⅱ adjusted for gender, age, race, education level, family income to poverty ratio, body mass index, alcohol consumption frequency, serum cotinine, physical activity, and sedentary activity.
In the subgroup analysis stratified by gender, age, race, and BMI, the model is not adjusted for gender, age, race, and BMI, respectively.
Subgroup analysis based on 25(OH)D levels further highlights the relationship. Compared to the reference group (Q1, <47.9 nmol/L), higher tertiles of 25(OH)D showed progressively stronger positive associations with BMD. In Model II, Q2 (47.9-67.9 nmol/L) had a β of 0. 0079 (P = 0.001687), Q3 (≥67.9 nmol/L) had a β of 0. 0259 (P < 0.000001). The trend analysis confirmed that increasing levels of 25(OH)D were significantly associated with higher BMD across all models, with P-values for trends all below 0.001.
The multiple regression analysis further examines the relationship between 25(OH)D levels and total BMD by stratifying the data according to gender, age, and race. Stratified analysis by gender indicates that males consistently exhibit a strong positive association between 25(OH)D levels and BMD across all models, with the strongest association observed in Model II (β = 0.0007, 95% CI: 0.0005, 0.0008). For females, a slight negative association is noted in the crude model (β = -0.0001, 95% CI: -0.0002, -0.0000), which becomes a weak and non-significant positive association in Model I, and slightly significant in Model II (β = 0.0001, 95% CI: 0.0000, 0.0002). Age stratification shows that younger adults (18-39.9 years) have a weak negative association in the crude model, which turns significantly positive in adjusted models (β = 0.0004, 95% CI: 0.0003, 0.0005). Older adults (40-59 years) display no significant association in the crude model but a significant positive association in adjusted models (β = 0.0003, 95% CI: 0.0002, 0.0004). Racial stratification reveals that Mexican Americans and non-Hispanic whites consistently demonstrate positive and significant associations in adjusted models. Non-Hispanic Blacks and other racial groups exhibit variable associations, with substantial positive results primarily in adjusted models, emphasising the importance of considering demographic factors when analysing the impact of 25(OH)D on BMD.
Nonlinearity and Saturation Effect Analysis between 25(OH)D and 25(OH)D
Figure 2 illustrates the dose-response relationship between 25-Hydroxyvitamin D (25(OH)D) and Bone Mineral Density (BMD) using a generalised additive model (GAM). Figure 2A shows the association without any adjustments, while Figure 2B depicts the relationship after total adjustment for variables such as. A nonlinear association is evident in both figures, with the solid red line representing the smooth curve fit between 25(OH)D levels and BMD. The blue bands indicate the 95% confidence intervals for the fit. The adjusted model (Figure 2B) shows a more pronounced and evident relationship, highlighting the significance of these covariates in understanding the association between 25(OH)D and BMD.
Figure 2. Dose-response relationship between 25-Hydroxyvitamin D and Bone Mineral Density. (A: no adjustment, B: full adjustment, C: full adjustment, stratified by gender )
A nonlinear association between 25-Hydroxyvitamin D and Bone Mineral Density in a generalised additive model (GAM). The solid red line represents the smooth curve fit between variables. Blue bands represent the 95% confidence interval from the fit.
Total adjustment was made for gender, age, race, education level, family income to poverty ratio, body mass index, alcohol consumption frequency, serum cotinine, physical activity, and sedentary activity.
Table 4 shows the threshold effect analysis of 25-hydroxyvitamin D (25(OH)D) on bone mineral density (BMD) using piece-wise linear regression. In the crude model, 25(OH)D levels below 96.4 nmol/L were significantly positively associated with BMD (β = 0.0004, 95% CI: 0.0003, 0.0006). In the adjusted model, a significant positive association is observed for 25(OH)D levels below 81.1 nmol/L (β = 0.0010, 95% CI: 0.0008, 0.0012), but levels at or above 81.1 nmol/L also show a non-significant negative association (β = -0.0002, 95% CI: -0.0005, 0.000). Likelihood ratio tests indicate significant threshold effects for both models (p = 0.003 and p <0.001, respectively).
Table 4. Threshold Effect Analysis of 25(OH)D and BMD using Piece-wise Linear Regression.
Crude model
|
|
Adjusted model
|
25(OH)D, (nmol/L)
|
β(95% CI)
|
P value
|
|
25(OH)D, (nmol/L)
|
β(95% CI)
|
P value
|
< 81
|
0.0002 (0.0001, 0.0003)
|
0.0027
|
|
< 81.1
|
0.0007 (0.0006, 0.0008)
|
<0.0001
|
≥81
|
-0.0005 (-0.0006, -0.0003)
|
<0.0001
|
|
≥81.1
|
-0.0001 (-0.0003, 0.0000)
|
0.1182
|
Likelihood Ratio test
|
|
<0.001
|
|
|
|
<0.001
|
Data were presented as β(95%CI) P value.
Abbreviations :25(OH)D=25-hydroxyvitamin D. BMD=bone mineral density.
The adjusted model is adjusted for gender, age, race, education level, family income to poverty ratio, body mass index, alcohol consumption frequency, serum cotinine, physical activity, and sedentary activity.
Table 3 shows that Stratified analysis revealed that females are unique when studying the relationship between 25(OH)D and BMD. Then, Figure 2C illustrates the nonlinear relationship between 25(OH)D levels and BMD, stratified by gender. The red points represent males, showing a rise in BMD up to a certain level of 25(OH)D, followed by a plateau and slight decline. The blue points represent females, showing a more gradual increase in BMD with increasing 25(OH)D levels, with less pronounced changes than males. The separation of the two curves highlights the different patterns in the 25(OH)D and BMD relationship between males and females.
Table 5 shows the threshold effect analysis of 25(OH)D and BMD using piece-wise linear regression stratified by gender. For males below 84.5 nmol/L, there is a significant positive association (β = 0.0010, 95% CI: 0.0008, 0.0012), while above this threshold, the association is non-significant and slightly negative (β = -0.0002, 95% CI: -0.0005, 0.0001). For females below 31.4 nmol/L, there is a significant positive association (β = 0.0021, 95% CI: 0.0009, 0.0034), and above this threshold, the association remains positive but weaker and slightly significant (β = 0.0001, 95% CI: 0.0000, 0.0002). The likelihood ratio test confirms the statistical significance of these threshold effects for both males (P < 0.001) and females (P = 0.002).
Table 5. Threshold Effect Analysis of 25(OH)D and BMD using Piece-wise Linear Regression(stratified by gender).
Male
|
|
Female
|
25(OH)D, (nmol/L)
|
β(95% CI)
|
P value
|
|
25(OH)D, (nmol/L)
|
β(95% CI)
|
P value
|
< 84.5
|
0.0010 (0.0008, 0.0012)
|
<0.0001
|
|
< 31.4
|
0.0021 (0.0009, 0.0034)
|
0.0007
|
≥84.5
|
-0.0002 (-0.0005, 0.0001)
|
0.2678
|
|
≥31.4
|
0.0001 (0.0000, 0.0002)
|
0.0474
|
Likelihood Ratio test
|
|
<0.001
|
|
|
|
0.002
|
Data were presented as β(95%CI) P value.
Abbreviations :25(OH)D=25-hydroxyvitamin D. BMD=bone mineral density.
The adjusted model is adjusted for gender, age, race, education level, family income to poverty ratio, body mass index, alcohol consumption frequency, serum cotinine, physical activity, and sedentary activity.