1 Introduction

Globally, billions of people are at risk from micronutrient deficiencies (Kumssa et al., 2015) such as iodine, vitamin A, iron (Fe) and zinc (Zn; Bailey et al., 2015; Han et al., 2022). Zn and Fe deficiencies are reported to affect up to 3 billion people (Dwivedi et al., 2012; Akhtar et al., 2018) and cause an estimated 2–5% reduction in the gross domestic products of developing countries (Stein, 2014). Zn deficiency alone affects up to 2 billion people worldwide (Ahsan et al., 2021; Khan et al., 2022) resulting in more than 0.5 million deaths per year in infants and children below 5-years (Krebs et al., 2014; Khalid et al., 2014). The latest Global Burden of Disease Study from 195 countries revealed that Fe deficiency contributed to around 30 million disability-adjusted life-years in 2017, which is the highest amongst other nutritional deficiencies (Wang et al., 2022). Where Fe deficiencies exist, Zn deficiencies will possibly co-occur, leading to multiple micronutrient deficiencies (Chadare et al., 2022).

Insufficient dietary intake is one of the leading causes of Zn and Fe deficiencies (Aiqing et al., 2022; Han et al., 2022), where at least one-in-five humans is at risk of Zn deficiency associated with low dietary intake (Boonchuay et al., 2013; Sandstead et al., 2014). The highest age-standardized prevalence rate of dietary Fe deficiency is found in South Asia (27,404 per 100,000 population) and western sub-Saharan Africa (SSA) (21,259 per 100,000 population) in 2019 (Han et al., 2022). Compared to other regions of the world, Zn and Fe deficiencies have remained particularly high in SSA (Kumssa et al., 2015; Chadare et al., 2022). This is partly attributed to less total food intake and dietary diversity (Beal et al., 2017), poorer soil quality (Manzeke et al., 2019) and reliance on plant-based foods containing high levels of anti-nutritional factors (Gibson et al., 2010).

Zn and Fe deficiencies are high especially in populations consuming cereals as their staple food, and even more so where micronutrient soil levels and bio-availabilities are low (Boonchuay et al., 2013; Wang et al., 2020; Aiqing et al., 2022). Among the major cereals, maize, rice and wheat which are typically low in Zn and Fe contents constitute nearly two thirds of the energy intake of humans particularly in the developing countries (Saha et al., 2015). The regions in the world with Zn-deficient soils are also characterized by widespread Zn deficiency in humans (Fig. 1; Cakmak, 2008). The most significant overlaps between Zn deficiency in soils and humans occurs in SSA, South Asia and Southeast Asia (Fig. 1). Nearly 50% of the cereal-growing areas in the world have soils with low plant availability of Zn (Cakmak, 2008). In arable soils in SSA, Zn deficiency tops the list of micronutrient deficiencies in the soil (Kihara et al., 2020). Crops often depend on the native soil as a source of micronutrients such as Zn and Fe. Micronutrient deficiencies in soil are aggravated by imbalanced applications of nitrogen (N), phosphorus (P) and potassium (K) fertilizers without micronutrients (Sahrawat et al., 2010; Kihara et al., 2017; 2020). This can deplete micronutrient reserves in the soil through increased harvest in the absence of replacement applications.

Not only do Zn and Fe deficiencies in soils affect human nutrition, but also the crop productivity. Further, Zn and Fe act as co-factors for numerous enzyme functions and play vital roles in various physiological process in plants, including photosynthesis, respiration, electron transport, protein metabolism, chlorophyll synthesis and hormonal regulations (Mallikarjuna et al., 2020). Deficiencies of nutrients in humans may be addressed through a number of approaches including agronomic biofortification, genetic improvement, dietary diversification, food fortification or supplementation (Akhtar et al., 2018; Garg et al., 2018; Ramzan et al., 2020). Agronomic biofortification relies on soil or foliar application of fertilizers (mineral and organic) and/or increasing their solubilization and/or mobilization from the soil to the edible parts of plants (Garg et al., 2018; Bhatt et al., 2020).

Since nutrients in food crops mainly come from the soil, the adoption of good agronomic practices can play a key role in addressing nutrient deficiencies. Agronomic practices including optimizing fertilizer application rates, methods and timing of application, organic amendments, tillage practice and water management are recognized as important determinants for boosting various nutrients’ levels in produce (Wasaya et al., 2018; Simić et al., 2020; Manzeke-Kangara et al., 2021). In that regard, understanding the extent to which various agronomic interventions can increase Zn and Fe concentrations in cereal grains is central to sustainably enhancing food and nutrition security. Biophysical factors such as soil organic matter content, soil pH and availability of macro- and micronutrients have been reported to affect the availability of micronutrients to plants and their concentrations in the grain (Cakmak et al., 2008; Alloway, 2009; Wood and Baudron, 2018; Manzeke-Kangara et al., 2021). Although various studies and reviews exist, there is little information on how much the various biophysical factors affect Zn and Fe concentrations in maize grain. Maize is the second major cereals after wheat, as a major staple worldwide. Improving its productivity and nutritional quality continues to play a vital role in enhancing food and nutrition security. The worldwide distribution of attainable Zn and Fe in maize grain, and the probability of achieving target concentrations have not been covered by past studies and reviews. The simultaneous improvement of grain yield and nutritional quality (e.g., increasing protein and macro- and micronutrients concentration, and decreasing anti-nutrients such as phytic acid) is important for enhancing food and nutrition security. Yet, it is not clear how increases in maize grain yield influence the concentrations of Zn and Fe, or even proteins and phosphorous (P) in the grain. Therefore, the objectives of this review are to: (1) establish the global distribution of Zn and Fe concentrations in maize grain and the probability of attaining nutrient concentration targets; (2) assess the contribution of different agronomic practices to the effectiveness of Zn fertilizers for increasing grain yields, and Zn and Fe levels in maize grain; and (3) identify key biophysical factors and metrics to more effectively guide agronomic biofortification of Zn. The main hypotheses of the study are: (1) benchmark concentrations of Zn and Fe in maize grain are attainable when supported with agronomic innovations; (2) there are significant differences in grain concentrations of Zn and Fe due to different agronomic practices; and (3) levels of grain-maize Zn and Fe are influenced by soil biophysical factors.

2 Review and analyses

2.1 Study focus

The geographic focus of this work was global, and maize (Zea mays L.) was chosen as the test crop because it is a staple food crop in many parts of the world. It is also a crop of strategic importance in food-insecure parts of the world such as the SSA (Sileshi and Gebeyehu, 2021), where Zn deficiency is widespread in both soils and human populations (Wessells and Brown, 2012; Fig. 1). Together with wheat and rice, maize accounts for an estimated 42% of the world’s food calories and 37% of protein intake (Erenstein et al., 2022). Maize is annually cultivated on ~ 206 million ha of land globally (FAOSTAT, accessed, 21 June 2023), making it the second most widely cultivated crop after wheat. Despite the lower cultivated area, the global maize crop annually produces 1.2 billion tonnes, compared with wheat’s 770 million tonnes (FAOSTAT, 2023). In SSA, the cultivated maize area annually is 3.6 times more than wheat (Sileshi & Gebeyehu, 2021). Maize is also marketed in 50% higher volumes, than both rice and wheat globally (Erenstein et al., 2022). Recent spatially-explicit analyses by Gashu et al. (2021) indicate that grain-Fe and -Zn concentrations are lower in maize than wheat and rice, and populations relying on maize-based diets are likely to have lower intakes of these nutrients. Therefore, identifying agronomic and environmental factors that increase Zn and Fe contents in maize grain was deemed an important contribution to the strategy for improving their availability in the diets of populations that depend on maize as their staple food.

Fig. 1
figure 1

Locations for data included in the study (the red dots) superimposed on map of prevalence of Zn deficiency in humans. White areas indicate no data. Prevalence map was adapted from Wessells and Brown (2012). The Zn deficiency prevalence in humans was estimated by Wessels and Brown (2012) using the National Food Supplies

2.2 Data sources, inclusion and exclusion criteria

These search strategies followed the Preferred Reporting Items for Systematic Reviews and Meta-Analyses for Reporting Literature Searches in Systematic Reviews (PRISMA-S) (Rethlefsen et al., 2019). A systematic literature search was implemented in Web of Science using the following search string: ("soil fertili*" OR "manure" OR "fertilizer") AND ("maize grain" OR "corn grain") AND ("nutri*" or “mineral” OR "zinc" OR "iron") AND ("concentration" OR "content" OR "uptake" OR "compo*"), and Google Scholar: ("soil fertili*" OR "manure" OR "fertilizer") AND ("maize grain" OR "corn grain") AND ("nutri*" OR "zinc" OR "iron") AND ("concentration" OR "content" OR "uptake" OR "compo*") -blood -digestibility -biofuel -greenhouse -pot -enzyme. Additional searches were conducted to locate studies on genetic variability of maize in terms of grain Zn and Fe contents using the following search keywords in Google Scholar: (Geneti* OR Genotyp*) AND ("maize" OR "corn" AND "grain zinc" OR “Zn” OR "grain iron" OR “Fe” OR “mineral”) AND ("variation") until March 2024. Two Boolean operators “AND” and “OR” were used to combine key words while truncation using asterisk (*) was applied to retrieve all relevant variants of the keywords. These searches returned 1996 and 379 hits in Google Scholar and Web of Science, respectively. We restricted our search to return only studies published since the years 2000 because as older studies may not reflect current situations, based on subject expert’s knowledge. Additional studies were identified and included by examining the reference sections of the research papers found using the search strategies stated above (see PRISMA flow chart in Fig. 2).

The following inclusion criteria were used: (1) the study reported maize grain nutritional quality parameters; (2) in the case of studies analyzing genotypes and/or where specific treatments were not compared, all recommended agronomic management practices were applied consistently; (3) survey or experimental data are based on field sampling or randomized and controlled field trials; and (4) the treatments were replicated. Studies were excluded based on the following criteria: (1) the study was conducted under greenhouse condition or pot experiment; (2) the study lacked all of the keywords of the search string in the title/topic; (3) the titles/topics were outside our research objectives; (4) the study was done on a different crop, not maize or maize grown for other purposes such as silage; (5) the study reported nutrient concentrations in fresh maize grains such as baby corn; (6) the study did not report treatment means, but reported other measures such as median and the corresponding author did not share raw data after the data were requested; (7) it was a review paper; (8) not published in a peer reviewed journal article; and for experimental data, (9) the study reported results in a manner that contradicts the treatment design; and (10) the study presented results summarized across location/sites instead of specific treatments or studied varieties in a multi-location study. These exclusion criteria were chosen to make the analysis more focused and control the quality of publications selected. Quality of the selected publications was assessed by full-text reading of the selected publications to substantiate the presented evidence, and confirmed by two independent reviewers as proposed in (Koutsos et al., 2019). Additionally, the data extraction team quality-controlled each other’s datasets.

2.3 Data extraction and processing

From each study we extracted data on site characteristics including: the geographic coordinates; year of study; rainfall received in the season; soil clay, sand, and silt; soil pH; soil organic carbon (SOC), or soil organic matter (SOM); total nitrogen (N); available phosphorus (P) and potassium (K); and Zn and Fe concentrations in the soil. In addition, we extracted the World Reference Base (WRB) soil type from SoilGrid using the geographic coordinates of the study sites. We also extracted information on agronomic practices including tillage; irrigation; bacterial inoculation; and the N, P, K; Zn and Fe application rates and methods wherever available (Table 1). In addition, we extracted grain yield and grain concentrations of various nutrients, and their measures of variability. The extracted data were organized in Microsoft Excel and processed to facilitate visualization and statistical analyses.

Using the soil clay, sand and silt, we created soil texture categories following the United States Department of Agriculture classification (USDA, 1993): clay (≥ 40% clay, ≤ 45% sand and < 40% silt), clay loam (27–40% clay and 20–46% sand), loamy (7–27% clay, 28–50% silt, ≤ 52%), sandy clay (≥ 35% clay and ≥ 45% more sand), silt (≥ 80% silt and < 12% clay), silty clay (≥ 40% clay and ≥ 40% silt), silty clay loam (27–40% clay and ≤ 20% sand), silty loam (≥ 50% silt, 12–27% clay, or 50–80% silt and < 12% clay), sandy clay loam (20–35% clay, < 28% silt and > 45% sand). Finally, we grouped these texture categories into three, namely, coarse (sand, sandy loam, sandy clay, sandy clay loam), medium (loam, silt loam, silt) and fine (clay, clay loam, silty clay, silty clay loam) to facilitate meta-analysis.

We also classified the soil type as calcareous, silicic or mafic based on their parent materials (Gray et al., 2011). Calcareous parent materials include limestone, dolomite, calcareous shale and sands with > 50% CaCO3 or MgCO3 (Gray et al., 2011). Silicic (also called acidic) refers to rocks that contain significant amounts of silica (> 68% Si), while intermediate parent materials contain 52–68% Si. The term mafic (basic) is applied to rocks with relatively low amounts of silica (45–52% Si) (Gray et al., 2011).

Some authors had reported SOM while others had reported SOC. To facilitate the analyses, we converted all SOM data to SOC by dividing SOM by 2 following Pribyl (2010). After a review of empirical studies and theoretical considerations, Pribyl (2010) argued that Bemmelen factor (1.724) is too low for most soils and proposed 2 as a better correction factor. Then we grouped into three categories: low (SOC < 10 g kg−1), medium (SOC 10–20 g kg−1) and high (SOC > 20 g kg−1) in preparation for meta-analysis.

Studies had also used different soil-extraction methods and expressed soil data in different units. Soil extraction methods are based on different mechanisms and vary in their extraction efficiency (Breure et al., 2022). Comparing the results of different soil-testing methods is often not straightforward and requires pedo-transfer functions to translate the outcome of one soil test into another (Breure et al., 2022). Therefore, before combining such data for meta-analysis, we converted them into a single unit using pedo-transfer functions. For example, soil pH was given in different measurements. Therefore, we converted the reported values to pH in CaCl2 using the following pedo-transfer functions: pH_CaCl2 = 0.918pHw-0.3556; pH_CaCl2 = 0.321 + 0.987pH_KCl following Van Lierop (1981). To facilitate meta-analysis, we created soil pH categories as acidic (pH < 6.5), neutral (pH 6.5–7.5) and alkaline (pH > 7.5) following Xu et al. (2022).

Soil available P was reported based on AB-DTPA, Bray 1, DTPA, Mehlich, Olsen or resin extraction methods. We converted P extracted using the different methods to Olsen P using regression equations in McDowell et al. (2013) and Steinfurth et al. (2021). For ease of inclusion in the meta-analysis, we grouped the Olsen P values into three categories: low (< 15 mg/kg), medium (15–22 mg/kg) and high (> 22 mg/kg) based on critical values from earlier studies (e.g., Tang et al., 2009; Chen et al., 2015). According to Chen et al. (2015) the critical level of Olsen P for maize grain yield was 19.1 mg kg−1 in Luvic Xerosols in China. Using the three models, Tang et al. (2009) determined the critical value of Olsen P for maize as 15.3 mg kg−1 (ranged 12.1–17.3 mg kg−1). Below the critical level, the crop can no longer absorb sufficient P for growth and yield reductions are expected. Soil Zn was analyzed using different methods including DPTA, AB-DPTA, HCl, etc. Therefore, we converted all values to DPTA following Abreu et al. (2002) as DTPA solution was the most efficient extractant for the determination of bioavailable Zn.

Different studies also reported the control in different ways. To facilitate the meta-analysis, we calculated the response ratio with careful case-matching of the treatment with the correct control. We used a single control here, defined as the plot receiving NPK because, for a global meta-analysis, a reasonable control would be a fully fertilized treatment receiving all the three key macronutrients (i.e., N, P and K). Accordingly, in the meta-analysis we only included studies that had applied Zn in combination with NPK or any other nutrient and we assessed performance against NPK. This approach gives conservative estimates of the effect sizes for the target variables.

Table 1 The minimum and maximum nitrogen (N), phosphorus (P), potassium (K) and zinc (Zn) application rates (kg ha−1) in the studies included in the narrative review and meta-analysis

2.4 Data analyses

2.4.1 Empirical distributions

We used data from 168 and 65 published studies to establish the empirical distribution of grain Zn and Fe concentrations, respectively. First, we created the frequency distributions of the Zn and Fe values by setting the number of bins to optimal following the zero-stage rule (Wand, 1997). Then, we added the Gaussian kernel density (a smooth estimator of the histogram) and the normal distribution for Zn and Fe concentrations separately. Using the frequency distributions, we created ogives (cumulative distribution functions) for Zn and Fe to estimate the probability (ϕ) of exceeding the target values of Zn (38 mg kg−1) and Fe (60 mg kg−1) in maize grain set by HarvestPlus (Bouis et al., 2011). Using the Extreme Studentized Deviate test we also identified outliers in the distribution of each variable. This test provides objective procedures for detecting multiple outliers in the distribution of data via repeated iterations. This procedure starts with the most extreme values in the sample, and removes them successively until 20% of the sample has been tested and the R statistic is below its critical value (Rcrit at P < 0.05) (Rosner 1983). Once outliers were identified, we went back to the original study to verify the values, and we found the values have problems either with measurement or conversion into the unit (mg kg−1) we used.

Since one of our objectives was to establish the range of values of grain-Zn and-Fe concentrations, we estimated the means, medians, the lower and upper quantiles (Q1 and Q3) and the uncertainty around them represented by 95% confidence limits (here after CL). We calculated the CLs for these statistics using bootstrapping with 9999 replicates. We applied bias-corrected bootstrapping as it is more accurate than the simple and percentile methods albeit being complex. We used the Paleontological Statistics (PAST) package (https://past.en.lo4d.com/windows) for estimating bootstrapped CLs.

In addition, we visualized the data using box and violin plots to understand the characteristics of distributions of grain Zn and Fe. These types of visualization have been recommended because they allow examination of the underlying differences in distribution (Krzywinski & Altman, 2014; Spitzer et al., 2014) and provide a more comprehensive summary of uncertainty. A combination of box and violin plot was specifically designed to identify multimodality by exposing the waist between two or more modes of a distribution (Spitzer et al., 2014). The violin plot readily shows the shape of a dataset by using a kernel density function.

2.4.2 Meta-analysis

Meta-analysis was conducted for estimating changes in the effect size (i.e., the magnitude of change relative to the NPK fertilizer) with treatments and environmental variables for the dataset that applied Zn fertilizer. Table 2 provides detailed description of the treatments used in the narrative review and meta-analysis. For the meta-analysis, we selected a subset of the studies where zinc was applied for which the response ratio (RR) could be calculated consistently as the change of the study variable in the Zn-applied group (treatment) compared to NPK group (control). These included 56, 49 and 11 studies for Zn effects on grain yields, grain Zn, and grain Fe concentrations, respectively. We used the natural logarithm of the response ratio (lnRR) as the effect size calculated as follows (Gurevitch and Hedges, 1999):

$$\:lnRR=ln\left(\frac{T}{C}\right)$$

where T and C are the values of the target variable from the treatment (see Table 2 for details) and control, respectively. The target variables were grain yield, grain-Zn and-Fe concentrations. For all target variables we defined the “control” as the treatment receiving inorganic NPK fertilizer. Once analyses were completed, we back-transformed lnRR and its 95% CLs into the arithmetic domain. In the rest of the manuscript, we presented the effect sizes estimated in percentage for better understanding. For this purpose, we re-expressed lnRR or RR into percentage change in the target variables as follows (Zhang et al., 2021):

$$\:\%\:change\:=100\times\:\left({e}^{lnRR}-1\right)\:or\:\%\:change=\:100\times\:\left(RR-1\right)$$

Prior to meta-analysis, publication bias is often assessed using funnel plots of effect sizes. However, funnel plots require a measure of variance, such as the standard error of means (SE), but most studies selected for this analysis did not report SE values. Another method of visualizing publication bias is through plotting the distribution of effect sizes (Sileshi et al., 2008; Basche & DeLonge, 2017; Thapa et al., 2018; O’Brien and Hatfield, 2019). Therefore, we investigated publication bias through visualization of histograms and the normal quantile–quantile (Q–Q) plots of the log-transformed response ratios, i.e., ln(RR) for each variable (Wang & Bushman, 1998; Sileshi et al., 2008; O’Brien and Hatfield, 2019; Fig. 2). We also formally tested normality of the lnRR values using the Shapiro-Wilk (SW) and Anderson-Darling (AD) tests values of ln(RR) of grain yield, grain-Zn and-Fe concentrations. Although the distributions revealed significant (P < 0.0001) departures from normality, the Q-Q plots did not reveal publication bias. The distribution of ln(RR) of grain yield had 4 negative and 5 positive outliers, while ln(RR) of grain Zn did not have outliers. The ln(RR) of Fe had 2 negative and one positive outliers. Therefore, we performed all analyses after dropping outliers.

Fig. 2
figure 2

Density plots (top) and normal Q-Q plots (bottom) of ln(RR) of response ratios of grain yield a, grain-Zn concentrations b and grain-Fe concentrations c in studies with Zn and Fe application. The rugged and smooth blue lines in the density plots represent the kernel density and normal probability distributions of the observed values, respectively

We used a linear, mixed-effects modelling framework to estimate the variation in effect sizes of maize-grain yield, and Zn and Fe concentrations with biophysical variables and agronomic practices. These practices included inoculation, irrigation, tillage, and application of organic inputs and NPK fertilizer. We entered the chosen covariates as fixed effects and the study (each published paper) as the random effect, which represents the clustering structure in our study population. The biophysical variables were: (1) parent material (calcareous, mafic, intermediate and silicic); (2) soil texture (coarse, fine, medium); (3) soil pH (acidic, alkali, neutral); and (4) soil organic carbon levels (high, low, medium). The agronomic practices compared were: (1) inoculation using Zn-solubilizing bacteria (with vs. without); (2) irrigation (with vs. without); (3) tillage (tilled, not tilled, unknown); (4) organic matter amendment (with vs. without); (5) Zn application method (foliar, seed, soil, combined foliar and soil); and (6) Fe applications (with vs. without). As treatment, the Zn and Fe applications were combined with N, P and/or K applications. We performed these analyses to determine how effect sizes vary with each of these variables. We also explored the changes in effect sizes of grain-Zn concentrations with soil texture, pH, SOC and Olsen P due to foliar and soil application methods. We did not explore other variables (e.g., variety information, actual rainfall and temperature during the experiment) because of many missing values. Due to the sparsity of data, we also did not explore a combination of variables or their interaction effects.

Our data were highly unbalanced in terms of the number of studies and observations (sample sizes) in each categorical variable. Therefore, we used the Kenward–Roger method for approximating the degrees of freedom and correction of the standard error estimate (Spilke et al., 2005). The Kenward–Roger method incorporates a correction to reduce bias in the estimated variance–covariance matrix of fixed effects. We chose this method because comparison of a large number of unbalanced designs common in agricultural research has shown that it is preferable to other approaches in terms of the nominal type I error rate control (Spilke et al., 2005). For each analysis we calculated the intraclass correlation coefficient (ICC) or repeatability for mixed-effects models, as the ratio of the covariance estimate of the random effect (i.e., study) and the covariance estimate for the residual + random effect. The ICC estimates measure how much of the total variance in the outcome is accounted for by the random effect (Chen et al., 2018). The ICC is also a reliability metric that gauges similarity when, for example, entities are measured under similar, or even the same, well-controlled conditions (Chen et al., 2018). Reliability is defined as the agreement or consistency across two or more measurements, and the ICC was developed for this purpose (Chen et al., 2018). The ICC can also help determine whether a mixed model is even necessary. An ICC close to zero means the observations within clusters (e.g., studies in our case) are no more similar than observations from other clusters, and hence specification of a random effect might not be necessary. ICC values close to 1 indicates that the sample variance is due to the variance between clusters rather than variance within clusters. In most cases, the ICC values were close to 1 and hence inclusion of “study" as the random effect was justified. Table S2 in the Online Resource 2 provides the ICC, statistical significance of each of the fixed effects and the significance of the residual variances.

We represented the uncertainty around the estimated values using 95% confidence intervals (CI) estimated using the mixed effects models.

Table 2 Treatment description and the number of countries, studies and observations available for the narrative review and meta-analysis

2.4.3 Correlation and regression analyses

We performed correlation analyses between: grain yield; grain-Zn; -Fe concentrations; their response ratios; soil nitrogen (N); available phosphorus (P); potassium (K); Zn; and grain-Zn and -Fe concentrations as well as the application rates of N, P, K and Zn to reveal the magnitude and direction of correlations. To avoid the Simpson paradox effect, we performed the correlation analyses for sites where Zn was applied. We performed all correlation and regression analyses on data transformed to the natural logarithm.

To explore the relationships between grain yield and grain nutrient concentration, we used linear regression. We performed regression analyses for each study separately, because combining studies can increase the background noise from the differences in study conditions, and often results in counter-intuitive findings (often referred to as aggregation bias). Our initial tests using the Johnson-Neyman technique (White, 2003) revealed heterogeneous residual variance and differences in intercepts. Therefore, we selected studies where two target variables were measured concurrently and where the reported number of means is sufficient (≥ 5) to run linear regression analysis. We then transformed the target variables into natural logarithms and run the analysis.

In addition, we performed boundary analysis (following Kihara et al., 2017) to establish the maximum grain-Zn and-Fe concentrations that can be expected given N and P application rates, soil total N, available P, SOC, soil Fe to Zn ratio and soil available P to Zn ratio. Wherever parametric models do not fit the data, we used weighted scatterplot smoothing (LOESS) implemented in the PAST statistical package. PAST estimates the 95% confidence bands for the LOESS curves by bootstrapping using 9,999 random replications.

2.4.4 Principal component analysis

We performed principal component analysis (PCA) to determine factors that affect the response ratio of grain-Zn concentrations (RRZn); PCA could not be performed for the response ratio of grain Fe due to the inadequate number of data points. We included soil pH, SOC, available P (Olsen P), available K, soil-Zn concentrations, N and P application rates on one hand, and RRZn on the other hand, from 20 studies that have reported all of those variables. A common issue in PCA is how to choose between raw data and standardized or transformed variables. The use of raw data is fine if all variables have the same units of measurement. However, the variables available in our dataset were expressed in different units. If the raw data is used, PCA tends to give more weight to those variables that have higher variances than to those with lower variances (Jolliffe and Cadima, 2016). Therefore, we standardized each variable (\(\:\stackrel{-}{Y}\)) of 0 and standard deviation (\(\:{Z}_{i}=\frac{{Y}_{i}-\stackrel{-}{Y}}{\sigma\:}\). We used this approach to remove scale differences between the variables (Jolliffe and Cadima, 2016).

3 Results and discussion

3.1 Studies retrieved and used for the various analyses

Based on the inclusion/exclusion criteria and quality checks, 214 studies were selected out of the 346 studies initially identified at article screening stage, after 132 publications were dropped by quality checks (Fig. 3; Online Resource 1). Survey data obtained from five studies were analysed together with experimental data to show the global distributions of maize grain Zn and Fe. The five survey studies collected samples from farmer’s fields while those that sampled grains from the market and storage facilities were excluded due to quality concerns (for instance, Dickinson et al. 2014).

Fig. 3
figure 3

Flow diagram of the literature search, the number of studies included/excluded at each stage and studies retained for meta-analysis

3.2 Distributions of Zn and Fe concentrations in maize grain

A total of 138, 65, 27, 16 and 21 studies (Fig. 2) were used to establish the empirical distribution of Zn, Fe, protein, nitrogen (N) and phosphorus (P) concentrations in maize grain, respectively. These distributions provide baselines against which future improvements in nutrient densities can be judged (Fig. 4; Table 3; Fig. S1 in the Online Resource 1). These variables were either asymmetrical (skewed) or multimodal in their distribution (Fig. 4 ; Fig. S1 in the Online Resource 1). In asymmetric distributions, the median is preferred to the mean because it always falls closest to the mode. Therefore, in the following passages our inferences are based on the medians, their 95% confidence limits and the empirical quartiles.

For the first time, we provide the distributions and the expected values of Zn and Fe concentrations in maize grain at the global level (Fig. 4; Table 3). The grain-Zn concentrations are right-skewed, and the 95% CLs indicated significant differences between the mean and the median of the distribution (Fig. 4a). Before removing outliers, the mean and median were estimated at 24.2 and 22.3 mg Zn kg−1, respectively. After removing 50 outliers, i.e., grain-Zn concentrations greater than 61 mg kg−1 in Fig. 4a (R > Rcritical at P < 0.05), the median value of 22.3 mg kg−1 was retained and deemed to be a more realistic estimate of the expected maize-grain Zn concentrations across maize genotypes under the prevailing agronomic management practice. Similarly, grain-Fe values greater than 112 mg kg−1 were outliers. Before removing outliers, the mean and median grain-Fe concentrations were 30.1 and 22.4 mg kg−1, respectively. After removal of outliers, the median grain-Fe concentration was 22.0 mg kg−1 (Fig. 4b), and this value was deemed a realistic estimate of maize grain-Fe concentrations across genotypes and management regimes.

Across all treatments and genotypes available, the probability of grain-Zn concentrations exceeding the benchmark of 38 mg kg−1 (see Bouis et al., 2011) was only 7.5%, while the corresponding probability of grain-Fe concentrations exceeding 60 mg kg−1 was 8.5%. When treatments with and without Zn application were considered separately, the probability of exceeding 38 mg Zn kg−1 was 31.6% where Zn was applied but only 1.4% without Zn application (Fig. 4c). The probability of grain-Fe concentrations exceeding 60 mg kg−1 was 47.1% where Zn was applied, but only 4.0% in the absence of Zn application (Fig. 4d).

Table 3 The number of studies, number of countries and total number of observations (N) available for zinc (Zn), iron (Fe), protein, nitrogen (N), and phosphorus (P) concentrations in maize grain. The mean, median, first quartile (Q1), third quartile (Q3) and coefficients of variation (CV in %), skewness after removing outliers for each variable are also given.
Fig. 4
figure 4

Histograms a and b representing the empirical distributions of Zn and Fe concentrations (in mg kg−1) in maize grain, and ogives (c and d) showing the probability of achieving the target Zn and Fe concentration with application of Zn and without Zn application. The jagged and smooth lines in (a) and (b) represent the kernel density and normal probability distributions of the observed values. Values in parentheses in (a) and (b) represent the 95% CLs of means, medians, and the first and third quantiles (Q1 and Q3) estimated after removing outliers. The value of ϕ in c and d represents the probability of exceeding the target Zn and Fe grain concentrations of 38 and 60 mg kg−1 (red lines).

Density distributions of the response ratios of grain yield, grain-Zn and -Fe concentrations in studies with Zn (labelled “With Zn”) and without Zn application (labelled “Without”) show that effect sizes of all target variables are smaller in treatments without Zn than with Zn (Fig. 5). The 95% CLs of both the medians and means of the response ratios indicate that grain yield was significantly increased with Zn application relative to the NPK control (Fig. 5a). On the other hand, where Zn was not applied, the yield increase was not significantly different from the NPK control. In 27 out of the 56 studies, treatments including Zn application significantly increased grain yields relative to the NPK control (Fig. S2 in the Online Resource 1). In the remaining 29 studies, the differences between treatments and the NPK control were not statistically significant (Fig. S2 in the Online Resource 1).

The response ratios of grain-Zn concentrations in studies where treatments involved both Zn application (“With Zn”) and no Zn application (“Without”) indicate that the difference between mean response ratios With Zn (1.36) and Without (1.05) is 0.31 with a bootstrapped 95% CL of (0.26, 0.35; Fig. 5b). The two means were significantly different (Monte Carlo permutation P < 0.0001). The median value of the response ratio to Zn application is 1.28 (95% CL: 1.26, 1.30). That means Zn application increased grain-Zn concentrations on average by 28% over and above what is achievable by NPK fertilizer alone or any other combination that does not include Zn inputs. In 40 out of 49 studies, treatments including Zn application have significantly increased grain-Zn concentrations relative to the NPK control, while for only 9 studies, the treatments and control are not significantly different (Fig. 3a in the Online Resource 1). The above findings indicate that more opportunities exist for improving maize grain-Zn concentrations than maize grain yields through Zn fertilization, over and above those achievable with NPK fertilizers alone.

The response ratios of grain-Fe concentrations were significantly increased (10% median) where Zn was applied relative to the control (Fig. 5c). In 6 out of the 10 studies, treatments including Zn application have significantly increased grain-Fe concentrations relative to the control (Fig. 3b in the Online Resource 1). Across studies, grain-Fe concentrations were also significantly increased (12% median) where Fe was applied relative to the control (Fig. 5d).

Fig. 5
figure 5

Box and violin plots of response ratios of grain yield a, grain-Zn concentration b and -Fe concentration c with and without Zn application, and Fe concentration in treatments with and without Fe application d. The category “With Zn” or “With Fe” consist of treatment combinations listed in Table 2. Distributions of the response ratios were generated after grouping treatment combinations into “With Zn or Fe” and “Without” as shown in Table 2.” Figures in parenthesis represent the 95% confidence intervals of the mean and median estimated using 9999 bootstrap replicates

3.3 Association between grain yield, grain Zn, Fe, P and protein concentrations

Regression analyses among the different variables (e.g., grain yield, grain Zn, Fe, protein and P), which had large sample sizes in the studies we found are presented in Table S3, Online Resource 2.

In the regression of grain-Zn concentration [ln(Zn)] on grain yield [ln(grain yield)], run separately for each study, 32 out of 61 studies (52.5%) had significantly positive slopes while in 27 studies, the slopes were not significantly different from zero (Fig. 6a). The slopes were significantly negative in two studies (6.7%). This indicates that in the majority of cases increases in grain yield and grain-Zn concentrations occur concurrently. Similarly, Chattha et al. (2017) found positive association between grain yield and grain-Zn concentration in wheat. On the other hand, Goredema-Matongera et al. (2021) suggested that application of Zn fertilizer may increase grain yield without increasing grain-Zn concentration in SSA. Even where Zn was not applied, the correlation between grain yield and grain-Zn concentrations can be positive. For example, Breure et al. (2023) found positive correlations between maize grain yield and grain-Zn concentrations within individual sites in field trials in Kenya, Zambia and Zimbabwe.

In the regression of grain-Fe concentrations [ln(Fe)] on ln(grain yield), 6 out of 16 studies (37.5%) had significantly positive slopes, and 10 studies (62.5%) had non-significant slopes (Fig. 6b). None of the slopes were significantly negative. Similarly, in the regression of Fe [ln(Fe)] on grain Zn [ln(Zn)], the slopes were significantly positive in 14 out of 24 studies (58.3%), while in the remaining 10 studies the slope were not significantly different from zero (Fig. 6c). Because no significantly negative association between grain-Zn and -Fe concentrations were found in any of the studies evaluated, our findings do not support assertions (e.g., of Saha et al., 2015) of possible depletion in grain-Fe concentrations with increase in grain-Zn concentrations.

Regression of grain protein [ln(protein)] on grain yield [ln(Grain yield)] showed significantly positive slopes in most of the studies, and none was negative (Fig. 7a). These findings contradict earlier studies (e.g., Ekpa et al., 2018; Cakmak and Kutman, 2018; Guo et al., 2020; Van Eynde et al., 2023; Breure et al., 2023) reporting reduced total protein or other nutrient concentrations with increase in maize grain yield. Similarly, slopes of regression of grain protein [ln(protein)] on grain-Zn [ln(Zn)] concentrations are significantly positive in 10 studies (55.6%), and significantly negative in only one study (Fig. 7b). Grain Zn also increased with grain P in 5 out of 8 studies (Fig.  7c). Thus the enrichment of Zn in grains can occur concomitantly with changes in other important nutritional or anti-nutritional properties (Hussain et al., 2012; Saha et al., 2015).

Fig. 6
figure 6

Forest plot of the slopes of regression of grain-Zn and -Fe concentration on grain yield and b and grain-Fe concentrations on grain-Zn concentrations c in studies where both variables were reported. Horizontal bars represent 95% confidence limits of the slopes. The red vertical lines represent b = 0. When the 95% CL encompasses the redline, the slope is not significantly different from 0. Figure on the left and right sides of the horizontal bars represent the slope and the number of observations per study, respectively

Fig. 7
figure 7

Forest plot of the slopes of the regression of grain protein concentrations on grain yield a, protein concentrations on grain-Zn concentrations b, grain P concentrations on grain-Zn concentrations c in studies where both variables were reported. Horizontal bars represent 95% confidence limits of the slopes. The red vertical lines represent b = 0. When the 95% CL encompasses the redline, the slope is not significantly different from 0. Figures on the left and right sides of the horizontal bars represent the slope and the number of observations per study (N), respectively

3.4 Treatment effects on grain-Zn and -Fe concentrations

In the studies used in this meta-analysis, Zn and Fe were applied together with different rates of nitrogen (N), phosphorus (P) and potassium (K) fertilizers (Table 1) either alone or in combination with micronutrients and organic inputs. The combined application of NPK, micronutrient and organic inputs (NPK + Mn + OM) significantly increased grain yield by 39%, grain-Zn by 62% and -Fe concentrations by 57% relative to the NPK control (Fig. 8a-c). Similarly, application of NPK together with micronutrients (NPK + Mn) significantly increased grain yield (by 34%), grain-Zn (by 32%) and -Fe concentration (by 31%) relative to the NPK control. These results imply that application of micronutrients (Zn and Fe) in combination with NPK and organic input increase not only grain yields but also grain-Zn and -Fe concentrations in maize. The NP + Mn increased grain Zn (23%) but did not increase grain yield.

The relative increases in yield due to Zn application in the various countries ranged between 5% in Argentina and 50% in Zimbabwe and Libya (Online Resource 1 Fig. 4a). The corresponding values for relative increase in grain-Zn concentration were from 2% in Argentina to 76% in Mali (Online Resource 1 Fig. 4b). Grain-Fe concentrations significantly increased due to Zn application over the control in Pakistan (by 66%), Bangladesh (by 49%) and Egypt (15%) (Online Resource 1 Fig. 4a). In the remaining countries, grain-Fe concentrations were either lower or not significantly different from the control.

Fig. 8
figure 8

Forest plot of response ratios of grain yield and grain-Zn and -Fe concentration under different treatments. Horizontal bars represent 95% confidence limits of means estimated using linear mixed effects models. The red vertical lines represent RR = 1. When the 95% CL encompasses the redline, the response in the treatment is not significantly different from the response in the control. Figures on the left and right sides of the horizontal bars represent the marginal means and the number of studies (total sample sizes in parentheses), respectively. Treatments with fewer than 3 observations were excluded

While improved agronomic practices such as Zn and Fe application can increase Zn and Fe concentrations in maize grain by over 30%, future climate change related factors such as elevated atmospheric CO2 levels and high temperature can negate the gains due to the carbohydrate dilution effect (Al-Hadeethi et al., 2019; Beach et al., 2019; Loladze, 2014; Myers et al., 2014). For example, Al-Hadeethi et al. (2019), Beach et al. (2019) and Myers et al. (2014) estimated the reduction in Fe and Zn in maize gain at ~ 5% due to CO2 enrichment. Similarly, Loladze (2014) found that elevated levels of CO2 reduced overall concentration of 25 minerals including Zn and Fe by 8% across 130 different plants. On the other hand, effects of elevated temperatures and heat stress are variable with reported increases of Zn and protein concentrations (Velu et al., 2016) and yet also reductions in Zn, Fe and protein contents of 14–15% (Haddad et al., 2022). These observations show a clear direction on influence of CO2 but need for further work to ascertain the implications of heat stress on produce quality.

3.5 Agronomic factors moderating response ratios

3.5.1 Inoculation

Responses to applied Zn were significantly higher relative to the control with or without inoculation but these were not influenced by inoculation level (Fig. 9; Online Resource 2 Table S2). However, the number of studies and observations are too small to clearly demonstrate the benefits of inoculation and more work is needed to ascertain the gains. Nevertheless, inoculation with soil micro-organisms such as Bacillus, Pseudomonas, Rhizobium and Azotobacter enhance the solubilization and mobility of Zn to plant roots (Rengel et al., 1999; Kumar et al., 2016), aided by organic acids produced by these microbes (Hussain et al., 2020). As a result, inoculation increased grain yield by 11–20%, compared to no inoculation in wheat (Moreno-Lora et al. 2023) and 11 to 22% for maize based on seed priming (Goteti et al., 2013). The same inoculation in the study of Moreno-Lora et al., (2023) did not increase grain-Zn and Fe-concentrations but interestingly improved the P: Zn molar ratios (indication of increased Zn bio-availability).

3.5.2 Irrigation management

Irrigation did not significantly increase response ratio of grain-Zn and -Fe concentrations for these cases that were all applied with Zn (Online Resource 2 Table S2). In other words, although the responses were greater than the NPK control, response to Zn application was not increased by irrigation or no irrigation. On a study with wheat, (Bagci et al., 2007) observed Zn application combined with irrigation increased yield and water-use efficiency across different wheat genotypes in Central Anatolia. Sufficient soil moisture improves Zn solubility and diffusion in the soil solution, and can minimize water stress-induced Zn deficiency (Alloway, 2009; Bagci et al., 2007).

3.5.3 Tillage

The response ratios of grain-Zn concentration did not significantly vary with the tillage method (Online Resource 2 Table S2). But Fe response was significantly higher under tilled than no till. Regardless of tillage method, application of Zn significantly increased grain-Zn and -Fe concentration relative to the control. Wright et al. (2007) showed vertical distributions of Fe and Zn in soil profile; where Fe is concentrated in the subsoil (15–30 cm) while Zn is mostly within the topsoil. Deep tillage operations can redistribute Fe and influence grain quality. However, most studies show no response of grain Zn and Fe to tillage practices e.g. for ryegrass (García-Marco et al., 2014), pea and lupin (Stanislawska-Glubiak & Korzeniowska, 2009). However, under moisture stress, no-till practices showed significantly higher pea and lupin Fe- and Zn-concentrations than for conventional tillage (Stanislawska-Glubiak & Korzeniowska, 2009).

3.5.4 Organic input application

The relative increase in grain-Zn concentrations was significantly (P < 0.0001) higher with application of organic inputs (64%) compared to omission of organic inputs (28%). Although not statistically significant (P = 0.0942), grain-Fe concentrations also increased by 45% with organic inputs relative to the treatment where organic inputs were not applied (26%). Organic inputs such as manure application supply additional nutrients to the crops, improve soil physical structure, and improve soil microbial structures responsible for nutrient solubilizations. Significant increases in grain Zn due to application of FYM have been observed for maize in India (Goteti et al., 2013) and in Zimbabwe (Manzeke et al., 2014). Further discussions related to SOC/SOM are provided earlier.

3.5.5 Zn and Fe application

The response ratios of grain yield and Zn concentrations were significantly higher (p < 0.0001) with Zn application relative to the NPK control (Fig. 9; Online Resource 2 Table S2). Compared to either soil or foliar, a combination of soil + foliar application of Zn (i.e., Combined) resulted in the highest increases in grain yield (34%), and grain-Zn (55%) and grain-Fe (60%) concentrations in maize grain relative to the control. Foliar application is particularly effective on alkaline soils, increasing grain Zn by 59% (Fig. 10). Responses to both foliar and soil applications were also slightly better on soils with low to medium soil-available P (Olsen). Our results agree with Joy et al., (2015a) that foliar application of Zn is more effective than soil application at increasing grain-Zn concentration. However, the foliar method would be difficult to deploy by smallholder farmers especially over larger areas, due to the lack of access to machinery for spraying (Joy et al. 2015a). Soil application is associated with residual effects, but these have not been well studied and accounted for. On the other hand, foliar application of Zn has shown benefit of reducing grain-P and phytate concentrations (Cakmak et al., 2008). Zn deficiency and application of P without Zn in a Zn-deficient soil can lead to excessive P uptake and high phytate concentrations in grain (Cakmak et al., 2008; Imran et al., 2016). High phytate to Zn ratio can significantly reduce the bio-availability of Zn to humans (Imran et al., 2016). Overall, these results show that external Zn inputs need to be applied to increase Zn concentrations in maize grain. The application of Fe did not increase response ratios for grain yield or grain Zn, i.e., no difference relative to no application. However, application of Fe increased grain-Fe concentrations.

Fig. 9
figure 9

Forest plots of the response ratios of grain yield a, grain-Zn concentrations b and grain-Fe concentrations c with inoculation, irrigation, tillage, organic matter (OM), Zn application method and Fe application. Horizontal bars represent 95% confidence limits estimated using linear mixed effects models. The red vertical lines represent RR = 1. When the 95% CL encompasses the redline the treatment is not significantly different from the control. Figures on the left and right sides of the horizontal bars represent the marginal means and the number of studies and the total sample sizes (N) in parentheses, respectively

Fig. 10
figure 10

Forest plots of the response ratios of grain-Zn concentration as affected by Zn application mode: a foliar application and b soil application. Horizontal bars represent 95% confidence limits estimated using linear mixed effects models. The red vertical lines represent RR = 1. When the 95% CL encompasses the redline, the treatment is not significantly different from the control. Figures on the left and right sides of the horizontal bars represent the marginal means and the number of studies the total sample sizes (N) in parentheses, respectively. Combined application (foliar + soil) was reported in only 9 studies, and therefore the sample sizes were inadequate to analyse variations with soil factors

3.5.6 N, P and K application rates

Grain-Zn concentration correlated positively (p < 0.001) with P application rates (Table 4). Apart from the concentration, the response ratio of grain Zn correlates positively with N-application rates and negatively with K application rates. On the other hand, application rates of the three macronutrients N, P and K correlate positively with the Fe response ratio. Increases in grain-Zn and-Fe concentrations with increased N application rates in maize have been reported previously (Losak et al., 2011; Xue et al., 2014; Pasley et al., 2019). Root uptake and transport of Zn via chelation with nitrogenous compounds has also been shown to improve proportionately with N-levels and improves deposition of Zn to the seed (Cakmak et al., 2010). However, applying high rates of N is claimed to dilute grain-Zn concentration (Breure et al., 2023) due to increased growth with inadequate supply of Zn, changes in soil solution pH (Losak et al., 2011).

Variable results to P application on grain-Zn concentration have been observed in previous studies. For example, reduced grain-Zn concentration in 20% of cases from 51 studies within a global meta-analysis are observed (Zhang et al., 2021) with possible contributions of the soil P: Zn balance. There is not much data on effects of ratios of Zn with other soil parameters on agronomic gain. On wheat, P application on soils with Olsen P/ZnDTPA >25 had a negative effect on wheat yield (Sacristán et al., 2019), while at soil P levels below 11.6 mg kg−1, P application increased Zn remobilization from vegetative parts to grains and the Zn harvest index (Hui et al., 2019). On the other hand, application of high P levels on Zn-poor soils can induce Zn deficiency (Sacristán et al., 2019; 2020; Zhang et al., 2021). Thus, P application increases grain-Zn concentration and, management resulting in a high P: Zn ratio is undesirable (significant negative correlation). These results emphasize the need for optimizing nutrient management for improving Zn and Fe concentrations in maize grain.

Increased Zn and Fe application rates increase response ratios of grain Zn. However, a high rate of Zn reduces overall grain-Fe content.

Our analyses above are on agronomic factors moderating response ratios based on Zn applications but evaluations independent of Zn application are available. For example, the review of Manzeke-Kangara et al. (2023) show increased maize grain Zn and Fe concentrations of at least 33% under intercropping relative to monocultures, and > 100% due to organic inputs, and wheat grain Zn increase under reduced tillage of 33% compared to conventional tillage, yet no evidence of tillage effects on maize grain Zn. Variable results due to other agronomic management practices have been observed e.g., in a global analysis comparing N application effects on crop nutritional quality by Zhao et al. (2022), effects of cultivars (Guo et al. 2020), or microbial inoculations (Goteti et al. 2013).

Table 4 Pearson correlation coefficients between maize grain zinc (Zn) and iron (Fe) concentrations, response ratios of grain yield (RRGY), Zn (RRZn) and iron (RRFe) with grain protein, N and P, application rates of N, P, K, Zn and Fe and select soil properties in studies where Zn was applied

3.6 Biophysical factors moderating response ratio

Grain-Zn and -Fe concentrations were positively (p < 0.001) correlated with the grain nitrogen and total protein, while also grain Zn was correlated with grain P concentration (Table 4). This indicates factors that increase grain Zn and Fe can also result in increases in other quality parameters. In the following passages, we will discuss the factors identified by the different analyses (correlations, mixed-effect models) and the mechanisms by which they affect responses in terms of grain yield, grain-Zn and -Fe concentrations.

Soil factors such as soil pH, and calcium carbonate (CaCO3) and organic matter levels influence Zn and Fe availability for plant uptake (Manzeke-Kangara et al., 2021; Zhao et al., 2014). Antagonistic interactions of soil Zn to P and Fe restrict Zn uptake even when the soil is not deficient (Losak et al., 2011; Rietra et al., 2017). From our study, the key soil parameters correlating with grain-Zn concentrations and response ratios are clay content, SOC, soil Zn and available P (Table 4 and Online Resource 2 Table S2). Benefits of Zn application are higher (P < 0.01) on medium and coarse textured soils but not under fine textured soil relative to the NPK control (Fig. 10). However, the differences in response ratios among soil texture classes were not statistically significant (P < 0.05).

Positive effects of SOC in increasing grain Zn is consistent with earlier analyses (e.g., Wood & Baudron, 2018; Gashu et al., 2021; Breure et al., 2023). Wood et al. (2018) showed increasing SOC by 1% was associated with an increase in Zn equivalent to the needs of 0.2 additional people per hectare (Wood et al., 2018). Zn and Fe are often less available in soils with low organic matter content (Mengel and Kirkby, 2001) and practices that increase soil organic matter (e.g., application of manure, crop residues) may be essential to availability of these nutrients and increase Zn concentrations in grain.

The relationships between grain-Fe concentrations and soil-P concentrations do not follow conventional parametric models (Online Resource 1 Fig. S5). Trends using LOESS smoothing show that grain-Zn concentrations remained flat below 25 mg kg−1 when Olsen P or the P: Zn ratios exceed 20 (Online Resource 1 Fig. S3). Grain-Zn concentrations increased with soil-available P levels of up to 10 mg kg−1, then decline rapidly and remained flat after 15 mg P kg−1 (Online Resouce 1 Fig. S5). Zn deficiency in crops has been associated with high levels of available P in soils (Hui et al., 2019; Sacristán et al., 2019; 2020). In winter wheat, grain-Zn concentration decreased with increasing available soil P in a linear-plus-plateau manner (Hui et al., 2019); the grain-Zn plateau reaching at 22.4 mg kg−1 at an available soil P of 14.2 mg kg−1 (Hui et al., 2019). The P–Zn antagonism has often been explained by the suppression of Zn uptake by roots (Zhang et al. 2021).

Grain yield, Zn and Fe concentrations of the grain as well as the response ratio of Zn were significantly positively correlated with soil-available Zn. Similarly, Botoman et al., (2022) found correlations between grain-Zn concentrations and the Zn concentration in the soil in Malawi. Grain-Fe concentrations increase with soil Zn content of up to 3 mg kg−1 and then decline rapidly afterwards (Online Resource 1 Fig. S5). Soil Zn determines the Zn concentration in grains (Cakmak & Kutman, 2018) and cultivating cereal in Zn-deficient soils can decrease grain Zn many-fold (Bhatt et al., 2020).

Fig. 11
figure 11

Forest plots of the response ratios of grain yield a, grain-Zn concentration b and grain-Fe concentration c with soil parent material, texture and pH. Horizontal bars represent 95% confidence limits estimated using linear mixed effects models. The red vertical lines represent RR = 1. When the 95% CL encompasses the redline, the treatment is not significantly different from the control. Figures on the left and right sides of the horizontal bars represent the marginal means and the number of studies (total sample sizes in parentheses), respectively. Grain-Fe data were not available on acidic soils

Grain-Fe concentration was significantly positively-correlated with soil pH (Table 4), although the pH range available for this analysis was small. The acidic and alkaline pH classes did not have adequate number of studies and sample sizes (Fig. 11). For maize grain yields, there was significantly higher response to Zn application on acidic and neutral than on alkaline soils (relative to NPK control). In the mixed-model analysis, response ratios of grain-Zn concentration (unlike grain yield) were significantly higher on alkaline soils (70%), and similarly, displayed a high grain-Fe response (92%) (Fig. 11b, c). This implies that application of Zn is required on soils of all pH classes. Zn and Fe are often reported to be less available in soils with high pH and high levels of calcium carbonates (CaCO3) (Mengel and Kirkby, 2001; Yamabi & Imai, 2002; Alloway, 2009). As a result, high-pH soils are associated with Zn deficiencies.

As with P: Zn ratio, grain-Zn concentration increases with soil Fe: Zn ratios of up to 20 and then declines rapidly afterwards (Online Resource 1 Fig. S5). Under Zn deficiency, an increased Fe to Zn ratio results in increased Fe uptake, because Fe predominantly occupies the metal transporters involved in both Zn2 + and Fe2 + uptake (Shinozaki & Yoshimoto, 2021). Fe concentration in maize grain was positively correlated with Fe concentration in the soil, as expected (Table 4) and as reported elsewhere (Mielki et al., 2016; Bevis & Hestrin., 2021).

Positive correlations of both grain-Zn and-Fe response ratios to soil-extractable K indicates the need for K especially for increasing Fe response. However, as shown earlier, high K application rate can decrease grain-Zn concentrations (negative effect). In maize, availability of K can counteract P-induced Zn deficiency (Stukenholtz et al., 1966) as it facilitates phytosidephore production, which increases Zn uptake (Hughes et al., 1992).

The differences for grain yield between soil parent materials were not statistically significant, but the response ratio of grain-Zn and -Fe concentrations were significantly higher on calcareous and intermediate parent material (Fig. 10). For example, relative to the NPK control, Zn application on calcareous soil increased Zn- and Fe concentrations by 44 and 43%, respectively. This is probably because Zn and Fe deficiencies are likely to occur in calcareous soils with high pH (Mengel & Kirkby, 2001; Alloway, 2009; Cakmak et al., 2010). Also, calcareous soils are less sensitive to P-induced Zn deficiency (Sacristán et al., 2019).

3.7 Key soil and management factors moderating maize zinc concentrations

In the principal component analysis, the first three principal components (PC1) explained 40.1% of the total variance, while PC2 and PC3 together explained 30.3% of the variance in the response ratio of grain-Zn concentrations (Fig. 12). In PC1, soil pH, SOC, P rate, N rate, soil available K and soil Zn were the most important variables influencing grain-Zn concentrations. SOC and soil Zn had negative loading, while all of the others had positive loadings. In PC2, soil available K and soil Zn (both with positive loading) were the key variables. In PC3, Olsen P had the highest positive loading followed by soil Zn with negative loading. Bartlett’s sphericity test on the var-covariance matrix indicated significant departure from spherical distribution (χ2 = 336.9; df = 35; P < 0.0001), and therefore the PCA applied here was deemed to provide a useful reduction in dimensionality.

Fig. 12
figure 12

Principal component biplots of standardized values of soil pH, SOC, Olsen P, available K, Zn, N rate and P rate and response ratios of grain-Zn concentrations classified as below average and above average based on their empirical distributions. The ellipses represent the 95% confidence bounds of the principal components

4 Data gaps, limitations and priorities for research and policy

Significant data gaps exist in relation to micronutrient content and antinutritional factors in maize grain, which limited our analysis to only Zn and Fe contents. For example, data are virtually lacking on concentrations of other micronutrients such as Se, and antinutritional factors such as phytate, which reduces Zn bioavailability to humans (Ekpa et al., 2018). Availability of such data could increase our understanding of how maize grain phytate content can be reduced through agronomic interventions. Combined application of P and Zn has been reported to increase Zn bioavailability to humans through a reduced grain phytate: Zn ratio (Imran et al., 2016), while Zn foliar application has shown benefit in reducing P and phytate levels (Cakmak et al., 2008). These only imply the potential of agronomic practices to improve Zn bio-availability, but more research is required.

The optimum Zn concentration in soil required for increasing grain-Zn concentration may differ from the soil concentrations required for high yields. Liu et al. (2017) showed that the optimal soil DTPA-Zn concentration was 4.7 mg kg−1 to attain high yield, but 7.6 mg kg−1 required to attain high Zn concentration in grains. Our study has focused on increasing grain Zn and Fe relative to that observed with NPK control and only few cases pushed the concentrations beyond the recommended targets.

Antagonistic interactions among soil nutrients are known to restrict uptake by crops and some insights have been provided. Beyond soils, an important priority area for research is Fe and Zn bioavailability in maize products, and the interactions between Fe and Zn with Cu, Ca and phytate and their influence on absorption. Such studies are required to better understand the underlying mechanisms.

There is an urgent need to determine environment and genotypic factors that govern variations in grain-Fe concentration and its bioavailability. The bioavailability of Fe in maize is known to be very low, largely offsetting any gains that might be made through breeding (Pixley et al., 2011). Therefore, in the short-term agronomic biofortification may provide an avenue for increasing Fe bioavailability. However, there is a dearth of information in this area.

The evidence from the present study and the literature suggests that application of Zn results in increased grain-Zn concentration (Joy et al., 2015a). The same authors reviewed the potential of Zn-enriched fertilizers to alleviate human dietary Zn deficiency and reported that 18% increase in maize-grain Zn concentration can be achieved by soil application of Zn-enriched fertilizers. Such information has great implication for national fertilizer recommendations, and also policies and price support mechanisms for the Zn fertilizer.

One of the key limitations of this review was our inability to perform analysis of genetic gain. For example, we could not quantify genetic gains because many of the studies did not compare diverse varieties and management. We only found 21 studies, and even where comparisons of genotypes exist, information on the varietal characters was not reported in full and we were unable to conduct combined analyses. Our analysis of the association of factors was also limited by incomplete reporting of important background information in the primary studies. For example, out of the studies that qualified for inclusion in this meta-analysis 76, 69, 66, 45, 41, 35 and 22% did not report the N, Fe, clay, potassium, P, SOC and Zn concentrations and pH of the soil, respectively. As a result, the effect of these variables on the response ratios could only be explored using a smaller sample size. This is a missed opportunity. Out of the studies that reported soil pH and soil available P, 31% and 17% did not report the method of pH measurement and P extraction. All this indicates that it is important to standardize the research protocols for such type of studies. In addition, most data came from short-term studies lasting 1–3 years; long-term studies (> 5 years) were uncommon. Consequently, the long-term changes in response could not be analyzed. Therefore, we recommend monitoring of changes in Zn and Fe concentrations in the grain and soil where long-term trials are underway.

A growing body of work (e.g., Bevis & Hestrin, 2021; Gashu et al., 2021; Watts et al., 2019; Joy et al., 2015b) suggests correlations between grain nutrient concentrations and soil properties such as pH and SOC as well as temperature and topographic index. But these studies also show existence of wide spatial variations e.g. for grain Zn concentrations in Ethiopia and Malawi (Gashu et al. 2021), for different grain mineral concentrations in Uganda (Bevis & Hestrin 2021) and for Zn and Fe in Tanzania and Kenya (Watts et al. 2019) The large variations imply that any attempt to combine treatment effects from multiple, geographically disparate studies, e.g., our meta-analysis, can create confounding effects, and the results should be interpreted with caution.

Significant data gaps also exist in terms of grain nutrient concentrations for most regions of the world, agroecological zones and soil types where maize is cultivated. The review also revealed regional imbalances in the representativeness of studies, with India and Pakistan constituting the majority of studies. The African region was only represented by a limited number of countries although maize is the staple crop in most African countries. While grain yield is routinely measured in almost all studies, the quality parameters including micronutrient content of grain are rarely measured. We strongly recommend routine measurement and reporting of grain-Zn and-Fe contents.

In terms of study design and measurement, uniform and consistent approaches have not been followed. For example, very few studies have measured both Zn and Fe contents of grains with and without Zn or Fe application. This makes meta-analysis of primary studies challenging. Therefore, we recommend development of a standardizing sampling and reporting framework for capturing produce quality data as part of the experimental design in agronomy and breeding programs.

5 Conclusions

This study had provided novel insights into the distribution of attainable grain-Zn and-Fe concentration relative to benchmark nutrient concentration targets, and opportunities for achieving those targets. The empirical distributions and attainable values reported here may be used as baselines for future improvements through either breeding program or agronomic biofortification. It is concluded that through agronomic biofortification it is possible to increase the Zn and Fe concentrations of maize grain by 32% and 31%, respectively, relative to NPK fertilizer alone. It is also concluded that combinations of soil and foliar Zn applications gives substantial increases in grain-Zn concentrations than either soil or foliar application. The results also suggest that the Fe concentration of maize grain can be increased through Zn application. It is further concluded that the Zn concentrations of maize grain concomitantly increase with the increase in grain yield and Fe, protein and P concentrations in the grain. The correlation and regression analyses identified some factors associated with grain-Zn and-Fe concentrations. However, in many cases the relationships were non-linear and hence some predictors turned up non-significant in the correlation analysis. Therefore, agronomists should be cautious about the possible nonlinear effects of variables and interaction among predictor variables when analyzing predictors of grain micronutrient concentrations.

Our meta-analysis highlights the following recommendations:

  1. 1.

    There is need for optimizing nutrient management for improving Zn and Fe concentrations in maize grain

  2. 2.

    Increasing soil organic matter (e.g., application of manure, crop residues) may be essential to increase Zn and Fe concentrations in grain.

  3. 3.

    Zn application is required on soils of all pH classes.

  4. 4.

    Significant data gaps exist in relation to micronutrient content of maize including effects on Zn bioavailability to humans, antagonistic interactions among soil nutrients and the underlying mechanisms.

  5. 5.

    Research protocols must be standardized for more comprehensive and meaningful comparisons, including standardizing sampling frameworks.

  6. 6.

    We recommend monitoring changes in Zn and Fe concentrations in the grain and soil where long-term trials are underway.