Background

Growth is a sensitive indicator of the health of infants and children. Growth assessment plays a pivotal role in child health monitoring. Growth failure, nutritional disorders, chronic illness, and social deprivation can be detected early through growth monitoring [1, 2]. Growth charts in the form of curves or tables allow the visual inspection of anthropometric parameters and are widely used to evaluate the growth and health status of children and adolescents. They play an essential role in the detection and assessment of abnormalities in growth and development [1, 3, 4].

Although international growth charts for anthropometric indices exist such as Centers for Disease Control and Prevention (CDC) Growth Charts and the World Health Organization (WHO) Child Growth Standards (WHO-CGS), national and local continent growth charts are unavailable in many countries. Although some countries had their own growth curves or have adopted the WHO growth charts, few countries did not adopt them, and some countries such as the USA partially adopted the new growth standards for age under 2 years; in some instance, the European Society for Pediatric Gastroenterology, Hepatology and Nutrition Committee on Nutrition directly recommends that the WHO reference charts should be adopted for 0–5-year-old children in Europe [5,6,7]. However, it should be noted that the World Health Organization (WHO) growth standards for children aged 0–5 years were established by data from six countries (USA, Norway, Brazil, Ghana, India, and Oman) with sampling from children living under the optimal environment for growth such as breastfed, nonsmoking mother, and adequate access to healthcare [8,9,10,11]. Despite of the CDC and WHO growth reference charts are commonly used in some countries, their applicability is challenging due to the diversity in cultural, economic, social, and environmental factors such as diet and health care services and genetic background, all influence the growth of people. Accordingly, growth assessment in children can be improved by considering all the abovementioned influential factors through establishing the local and national growth references [9,10,11]. Therefore, many countries, such as Norway, the UK, China, Taiwan, Saudi Arabia, and Japan, had established their own growth references [3].

There are no national reference charts in Iran for children aged under five; although, in recent years some local growth charts have been developed in Iran [12,13,14,15,16,17], they did not evaluate and construct the reference charts for all common anthropometric indices and majority of them focused only on one measure or specific age group such as newborns and, more importantly, lack on considering the reliable protocol for evaluating the reference chart for children under 5 years particularly tracking the growth from 24 to 60 months. Here, we developed growth references charts for all three anthropometric measures, i.e., height-for-age, weight-for-age, and BMI-for-age based on a large sample representative local data for children living in Isfahan, the biggest city located in the center and the third biggest city of Iran, aged 2–5 years and compared these references with those reported by WHO.

Methods

This population-based study has a combination of longitudinal and cross-sectional design. In total, this study was conducted on 2086 healthy children (1029 boys and 1057 girls) who were born between 2002 and 2015 in Isfahan city, central Iran. Isfahan is the third largest city of Iran with a population of 2,250,000 based on the last census in 2017. The current study samples were selected from urban health centers of Isfahan through stratified by gender and multistage cluster sampling, among children who had medical records in the centers. Isfahan city has 2 main health centers, i.e., the Isfahan focal health centers I and II that cover the whole city. We adopted the WHO protocol for selecting our study sample from 2 main clusters and local health centers that were supervised [6, 18]. Local health centers under the supervision of 2 local health centers are located in different geographic regions of Isfahan city. Isfahan health center I covers 23 health centers, and Isfahan health center II covers 22 health centers. We selected randomly 15 local health centers as the second-stage cluster based on considering the geographic coverage of the city for getting a representative sample. In each selected local health center, we provided a list of children that fulfilled the WHO criteria for constructing reference charts, and finally, we selected our proposed sample based on a systematic random sampling from prepared lists. In accordance with the WHO’s instructions [6, 18], the inclusion criteria were as follows: Iranian citizenship, absence of significant morbidity or disease, lack of known health or environmental constraints to growth, appropriate socioeconomic status of the family, single and full-term birth, no maternal smoking before and after delivery, exclusive or predominant breastfeeding for at least 4 months, introduction of complementary foods by the age of 4–6 months, and continued partial breastfeeding up to at least 12 months. Then, according to a prepared list in each center, the longitudinal part of the study was conducted among children who had complete data on anthropometric measures in their medical charts and fully followed up from birth to 60 months in the health centers. Totally, 1325 healthy children who were born between 2002 and 2015 were identified and fulfilled our inclusion criteria, and their anthropometric measurements (at least 2 measurements) were recorded from medical records. For these children, data from 24 to 60 months were used for statistical analysis. For providing a sufficient sample size in order to have stable and precise estimates at the percentiles according to WHO recommendation for growth chart building, we conducted a cross-sectional study too, on 761 children aged 24–60 months from September 1 to November 10, 2015, and measured their weight and height. For conducting a cross-sectional study, a random telephone survey was done and contacted households who had medical charts in health centers, explained the purposes of the study, then invited them to participate in our study. Those parents who agreed to participate in the study were invited to measure the anthropometric measurements of their children by professional health staff in the health centers. All parents received enough information about the study and also provided written informed consent. The confidentiality of all obtained information was administered carefully by two reliable experts in each health center and also researchers of the study in each component of the study. The design of the current study was approved by the Ethics Committee of our University (Project Number: 193121).

Anthropometric measurements

Anthropometric measures (length/height and weight) of children were measured by trained health staff by using calibrated instruments under standard protocols in each component of the study [6, 18]. The children’s height in centimeters was measured in a supine position before walking and then in a standing position without shoes by using a tape meter with a precision of 0.1 cm. Children’s weight in kilograms was measured with a precision of 10 g on an electronic scale that was placed on flat ground, and participants were motionless and wearing light clothing. In the cross-sectional component, measurements were taken by two professional health staff in order to increase accuracy. Body mass index (BMI) was calculated as weight in kilograms (kg) divided by height in meters squared (m2).

Statistical analysis

We used the lambda-mu-sigma (LMS) method to develop new growth references for both boys and girls from 24 to 60 months. We supposed that data could be corrected for skewness by using an appropriate power transformation (L), and the distribution was summarized by the median (M) and generalized coefficient of variation (S). The LMS method is used to model the data, smooth the parameters (L, M, and S), and then estimate the smoothed percentiles from the model parameters [6, 18, 19]. The model parameters were estimated based on the method of maximum penalized likelihood. Percentiles for all the anthropometric measures were estimated from those values applying the following formula [19]:

P = M[1 + LSZ]1/L, L ≠ 0

where the L, M, and S are the values from the appropriate table corresponding to the age in months of the child. Z is the z-score that corresponds to the percentile. z-scores correspond exactly to the percentiles, e.g., z-scores of − 1.881, − 1.645, − 1.282, − 0.674, 0, 0.674, 1.036, 1.282, 1.645, and 1.881 correspond to the 3rd, 5th, 10th, 25th, 50th, 75th, 85th, 90th, 95th, and 97th percentiles, respectively [19]. The goodness of fit of all models was assessed using the worm plot and Q test [6, 18, 19]. We have estimated the 3rd, 5th, 15th, 50th, 85th, 90th, 95th, and 97th percentiles for height-for-age, weight-for-age, and BMI-for-age. Data analysis was performed using the LMS Chart Maker Light, version 2.54.

Results

About 50.67% of the total studied children were girls and 63% of them were the first child of their family; 64.5% of fathers and 73.3% of mothers had a college education. About 37% of mothers were employed. Delivery by cesarean section was estimated to be 76.2%. The mean (SD) age of mothers and fathers was 33.25 (6.73) and 38.01 (5.24) years, respectively. The mean (SD) gestational age of the Isfahan children was 38.38 (1.40) weeks. More details about the characteristics of the children and their parents are presented in Table 1.

Table 1 Characteristics of studied participants

Figures 1, 2, and 3 present the growth reference charts of Isfahan children aged 2–5 years at the 3rd, 5th, 15th, 50th, 85th, 90th, 95th, and 97th percentiles for height-for-age, weight-for-age, and BMI-for-age for both girls and boys and the WHO growth standards counterparts. Tables 2, 3 and 4 present the percentiles for height-for-age, weight-for-age, and BMI-for-age for both girls and boys from 24 to 60 months.

Fig. 1
figure 1

Height percentiles (P3, P15, P50, P85, and P97) by age for girls and boys ages 2–5 years who were born in Isfahan compared to the WHO growth standards

Fig. 2
figure 2

Weight percentiles (P3, P15, P50, P85, and P97) by age for girls and boys ages 2–5 years who were born in Isfahan compared to the WHO growth standards

Fig. 3
figure 3

BMI percentiles (P3, P15, P50, P85, and P97) by age for girls and boys ages 2–5 years who were born in Isfahan compared to the WHO growth standards

Table 2 Percentiles of height (cm)-for-age for girls and boys, age in months
Table 3 Percentiles of weight (kg)-for-age for girls and boys, age in months
Table 4 Percentiles of BMI (kg/m2)-for-age for girls and boys, age in months

Height-for-age

The median height at birth, 30, 36, 42, 48, 54, and 60 months was 87.02, 90.90, 95.85, 99.66, 103.77, 106.77, and 110.52 cm, respectively, for girls while for boys was 87.95, 91.99, 96.52, 100.42, 104.51, 107.96, and 111.48 cm. Boys were taller than girls of the same age in all percentiles (Table 2).

Figure 1 compares the percentiles (P3, P15, P50, P85, and P97) of the Isfahan child growth references for height by age for girls and boys and the WHO growth standards. Differences in the percentiles of height between the Isfahan references and the WHO standards tended to increase with age for boys. Similar differences were observed for girls in the middle and upper percentiles. Compared with WHO standards, Isfahan boys were taller especially at older ages. Approximately, all percentile values of the height distribution were bigger than the WHO standards except the 3rd percentile, and the differences between the two growth references were about 2 cm, especially at older ages. As depicted in Fig. 1, the differences between the 3rd and 97th percentiles for height increased with increasing age in both girls and boys in both growth references.

Weight-for-age

Median weight at birth, 30, 36, 42, 48, 54, and 60 months was 11.34, 12.3, 13.29, 14.31, 15.47, 16.35, and 17.48 kg, respectively, for girls while for boys was 11.97, 12.94, 13.89, 14.94, 15.98, 17.29, and 18.19 kg (Table 3). Both the girls’ and boys’ weight increased with age, and as it was expected, boys were heavier than girls of the same age in over the all percentiles, with differences ranging from 0.1 to nearly 1 kg.

As shown in Fig. 2, the weight patterns of Isfahan children were close to those of the WHO references in the lower percentiles. However, compared with WHO standards, Isfahan children especially girls were lighter based on the middle and upper percentiles of the weight distribution. Differences between the two growth references in the middle and upper percentiles were about 1 kg, especially at 50 months of age and older. Similar to those we observed for height, the differences between the 3rd and 97th percentiles for weight increased with age in both girls and boys in each of the two growth references.

BMI-for-age

Median BMI at birth, 30, 36, 42, 48, 54, and 60 months was 15.04, 14.94, 14.55, 14.54, 14.50, 14.50, and 14.39 kg/m2, respectively, for girls while for boys was 15.48, 15.29, 14.89, 14.85, 14.67, 14.83, and 14.65 kg/m2 (Table 4). Boys had higher BMIs than girls of the same age in each group, with differences ranging from 0.1 to nearly 0.44 kg/m2.

Figure 3 compares the percentiles (P3, P15, P50, P85, and P97) of the Isfahan child growth references for BMI by age for girls and boys and the WHO growth standards. Compared with the WHO standards (Fig. 3), Isfahan references exhibited lower BMI values across all age groups, with the exception of Isfahan boys at 55 to 58 months. Differences between the two growth references ranged from 0.2 to nearly 0.91 kg/m2.

Discussion

We developed growth reference charts for height-, weight-, and BMI-for-age based on a representative sample of children aged 2–5 years who were born in Isfahan city, central Iran. According to our findings, the height, weight, and BMI percentile values for boys were higher than those for girls in all age groups. Compared with the WHO standards, Isfahan children had similar patterns of weight growth in the lower percentiles, but were lighter based on the middle and upper percentiles of the weight distribution. In addition, Isfahan boys were taller especially at older ages compared with WHO standards. The percentiles of the BMI distribution were considerably lower than those of WHO standards across all age groups. We adopted WHO guidelines for constructing the growth reference charts [6, 18]; consequently, the prevalence rate of low birth weight (< 2500 g) was 5.5% for Isfahan children.

The patterns of Isfahan children’s weight growth showed similarity with those of the WHO standards only in the lower percentiles. However, the middle and upper percentiles of the weight distribution of Isfahan children especially girls were below the WHO standard curves. In line with our study, in Payande et al.’s study, the weight growth curves of Iranian children were below the WHO curves for children after 2 years [20].

Isfahan girls demonstrated patterns of height growth similar to those of the WHO standards in the middle and lower percentiles. However, compared with WHO standards, Isfahan boys were taller especially at older ages. Different previous studies in different countries found that growth charts differed from the WHO growth standards with regard to the height of children. For example, the results from WHO sample children were taller than the CDC and Japanese child population, and it is expected to obtain higher prevalence stunting (< − 2 SD) of if WHO references are used; however, in the population of China, Poland, and Germany, the cutoff value for depicting stunting were higher than those reported values by WHO, resulting in the underestimate of stunting prevalence in these nations when WHO references are applied [21,22,23,24]. According to the observed difference between our study results in terms of height-for-age and the higher centiles of our study than corresponding WHO, it is expected to have underestimates of stunting for our local population by applying WHO references. Such differences in various studies have been attributed to variations in the inclusion criteria for included children, ethnicity, and sample sizes, environmental and nutritional factors have caused the divergence in growth patterns.

BMI growth curves demonstrated by Isfahan children did not follow the WHO standards. Hosseini et al. conducted a survey among 3301 children aged 2–18 years old between 1990 and 1991 in order to provide standardized percentile curves of BMI for Iranian children [25]. Their reference had some weak points including they measured the age based on years not on months, so a child aged 2 years and 1 day was considered such as a child aged 2 years and 11 months, and children resident in Tehran cannot represent the children of Iran. However, in line with our findings, the major differences were observed between Iranian and the US BMI charts in their study [25].

These findings showed that the WHO standards are high for identification of the growth and nutritional status of an Iranian child relative to its compatriots. Studies in other countries have achieved similar results in terms of the need for local child growth references [2, 4, 26,27,28,29]; for example, Al-Mazrou et al.’s study showed that the median weights and heights of Saudi boys and girls (0–5 years old) were more than those of Harvard standards [26]. Findings regarding the difference between our references and WHO standards in terms of these indices suggest that the prevalence of growth deficiency in this local population will be higher if assessed by the WHO standards. Therefore, these results reflect the imprecision and inapplicability of the international references such as WHO and CDC reference and support the need for local child growth references, in order to better monitor the growth and development of children in Isfahan and consequently in Iran. However, further research is necessary to investigate the weight and BMI growth trajectories of Iranian children and the determinants of said trajectories.

It is important to recognize some strengths as well as the potential limitations of the present study. This survey can be considered as the first study using a large sample of healthy child construct growth references for all anthropometric measures (weight, height, and BMI) for children aged 2–5 years prospectively in the largest city of Iran as a representative of center Iran population. We followed the standards and reliable international protocols; the suggested large sample size with 400 to 500 observations in each age-gender group allows the calculation of stable and precise estimates at the percentiles [30]. Most of the previous studies in Iran were based on a low sample size or they did not consider all the three anthropometric measures, simultaneously. We constructed the references for children aged 24–60 months based on WHO’s inclusion criteria; therefore, the Isfahan references and WHO standards were completely comparable. The LMS methodology used in this study is the most common method by the WHO and the CDC and also other countries to construct children’s growth references. Despite these strengths, the anthropometric data in the longitudinal component of the current study collected from the medical record of each child had been measured by professional health staff in the health centers. We included children only from Isfahan (in central Iran); therefore, the representativeness of this sample for all Iranian children is not known. On the other hand, we included only the urban population in this study, so our population will not be a true representativeness of the whole population of Iranian children.

Conclusion

This study developed Isfahan growth references to monitor the growth of children between 2 and 5 years. These growth references are the most recent and comprehensive charts of the Isfahan population of children. The weight and BMI growth patterns of Isfahan children were different from those “prescribed” by WHO standards. These findings suggest that caution should be taken when applying the WHO standards to Iranian children. The accessibility of such reference charts should help clinicians and healthcare providers in the Isfahan to better monitor the children. Accordingly, we recommend these growth reference charts to be used by all health centers and hospitals of Isfahan city. Also, we strongly encourage further similar studies in the Iranian population to establish national growth reference charts.