Submitted:
19 May 2026
Posted:
20 May 2026
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Abstract
Keywords:
1. Introduction
- To determine the NP response surface (NP interaction) on maize yield and nitrogen use efficiency.
- To determine the effects of K application across medium and high NP rates on maize yield.
- To determine the effects of SMN on maize yields when N only, NP and NPK are applied.
- To assess the effects of soil properties on maize grain yields.
2. Materials and Methods
2.1. Description of the Study Sites
2.2. Treatments and Experimental Design
2.3. Planting and Crop Management
2.4. Harvest and Data Collection
2.5. Data Analysis
3. Results
3.1. Effects of NP Response Surface on Maize Yield
3.2. Nitrogen Use Efficiency (NUE)
| Treatment | PFPN | AEN | ||||||
|---|---|---|---|---|---|---|---|---|
| Average | LVC | Mt. Elgon | NMF | Average | LVC | Mt. Elgon | NMF | |
| N40 P0 | 144 ± 10 a | 132 ± 10 a | 210 ± 18 a | 85 ± 8 a | 56 ± 7 a | 41 ± 8 abc | 97 ± 14 ab | 32 ± 6 b |
| N80 P0 | 75 ± 5 cd | 70 ± 5 bc | 107 ± 7 c | 46 ± 5 cd | 30 ± 3 bc | 23 ± 4 bcde | 50 ± 5 cde | 16 ± 3 b |
| N40 P30 | 151 ± 11 a | 136 ± 8 a | 224 ± 18 a | 91 ± 8 a | 61 ± 8 a | 43 ± 6 ab | 110 ± 17a | 31 ± 7 b |
| N80 P30 | 77 ± 5 c | 73 ± 5 bc | 106 ± 8 c | 51 ± 7 bcd | 32 ± 4 bc | 27 ± 5 bcde | 49 ± 8 cde | 21 ± 6 b |
| N120 P30 | 57 ± 4 cd | 50 ± 5 cd | 76 ± 5 c | 45 ± 3 cd | 27 ± 3 c | 20 ± 4 de | 39 ± 5 e | 25 ± 2 b |
| N80 P60 | 112 ± 8 b | 100 ± 7 b | 159 ± 11 b | 75 ± 6 ab | 51 ± 5 ab | 38 ± 5 abcd | 83 ± 11 abcd | 36 ± 4 ab |
| N120 P60 | 56 ± 2 cd | 50 ± 3 cd | 78 ± 2 c | 40 ± 2 d | 26 ± 2 c | 19 ± 2 de | 41 ±3 e | 20 ± 2 b |
| N160 P60 | 45 ± 2 d | 39 ± 3 d | 64 ± 5c | 33 ± 2 d | 22 ± 2 c | 16 ± 2 e | 36 ± 5 e | 18 ± 2 b |
| Treatment | PFPN | AEN | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Average | LVC | Mbale | WMHF | Average | LVC | Mbale | WMHF | |||||||
| N30 P0 | 92±8 | ab | 53±3 | a | 98±10 | a | 53±8 ab | 23±3 ab | 29±4 | |||||
| N60 P0 | 40± 4 | cde | 28±2 | bc | 59±5 | bcd | 21±3 d | 13±2 bcd | 24±4 | |||||
| N30 P17 | 80± 10 | b | 50±4 | a | 100±9 | a | 42±8 bc | 20±3 abc | 31±6 | |||||
| N60 P17 | 49± 6 | c | 30±3 | b | 66±6 | b | 30±6 cd | 15±3 abcd | 32±3 | |||||
| N30 P34 | 101±11 | a | 54±6 | a | 105±10 | a | 63±11 a | 25±6 a | 36±7 | |||||
| N60 P34 | 41±4 | cde | 30±3 | b | 62±5 | bc | 22±3 d | 15±3 bcd | 27±2 | |||||
| N90 P34 | 30±4 | de | 17±1 | de | 45±3 | cd | 17±4 d | 7±1 d | 22±2 | |||||
| N60 P51 | 48±6 | cd | 26±2 | bcd | 61±5 | bc | 29±5 cd | 11±2 cd | 26±3 | |||||
| N90 P51 | 27±3 | e | 18±2 | cde | 45±3 | cd | 15±2 d | 8±2 d | 21±2 | |||||
| N120 P51 | 23±3 | e | 14±1 | e | 39±3 | d | 14±3 d | 7±1 d | 22±2 | |||||
3.3. Effects of K on Maize Yield
3.4. Effects of SMN on Maize Yield
3.5. Effects of Soil Properties on Maize Yield
3.6. Principle Component Analysis
4. Discussion
5. Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| AE-N | Agronomic efficiency of N |
| AEZ | Agroecological zones |
| ANCOVA | Analysis of covariance |
| FOT | Fertilizer optimization trials |
| LVC | Lake Victoria Crescent |
| MHF | Mt. Elgon High Farmlands |
| NMF | Northern Moist Farmlands |
| OFRA | Optimization of fertilizer recommendation in Africa |
| PCA | Principal component analysis |
| PFP-N | Partial factor productivity of N |
| SMN | Secondary and micronutrients |
| SSA | Sub-Saharan Africa |
| WMHF | Western Medium High Farmlands |
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| Soil properties | Mean value | SEM | Mean value | SEM | Mean value | SEM | Mean value | SEM | Mean value | SEM | Mean value | SEM |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| First Season (2023A) | Second Season (2023B) | |||||||||||
| LVC | Mt. Elgon | NMF | LVC | Mbale | WMHF | |||||||
| pH | 6.1 | 0.1 | 6.0 | 0.1 | 6.1 | 0.0 | 6.4 | 0.1 | 7.1 | 0.1 | 6.3 | 0.1 |
| P (mg kg-1) | 17.7 | 6.4 | 2.6 | 0.5 | 6.0 | 0.8 | 125.8 | 29.2 | 196.3 | 32.4 | 45.8 | 13.0 |
| K (mg kg-1) | 184.5 | 40.3 | 411.4 | 42.3 | 152.1 | 10.6 | 315.7 | 40.5 | 1121.3 | 133.0 | 280.6 | 34.6 |
| Ca (mg kg-1) | 1437.2 | 181.7 | 3068.3 | 201.9 | 1066.2 | 136.0 | 2131.0 | 171.5 | 5854.1 | 519.2 | 1861.6 | 156.7 |
| Mg (mg kg-1) | 207.7 | 29.5 | 463.3 | 53.0 | 170.5 | 16.5 | 279.3 | 23.4 | 913.7 | 80.9 | 339.2 | 33.2 |
| S (mg kg-1) | 12.3 | 0.6 | 15.5 | 1.3 | 11.2 | 0.6 | 13.9 | 1.2 | 17.3 | 1.4 | 15.2 | 0.4 |
| Na (mg kg-1) | 19.7 | 1.2 | 25.9 | 1.4 | 19.3 | 0.9 | 31.4 | 7.8 | 26.7 | 1.9 | 18.1 | 1.9 |
| Mn (mg kg-1) | 348.2 | 60.4 | 177.5 | 22.8 | 156.2 | 12.4 | 220.4 | 27.4 | 150.1 | 12.9 | 185.0 | 15.3 |
| B (mg kg-1) | 0.5 | 0.0 | 0.7 | 0.1 | 0.4 | 0.0 | 0.9 | 0.1 | 1.4 | 0.1 | 1.0 | 0.1 |
| Zn (mg kg-1) | 4.0 | 0.8 | 4.1 | 0.5 | 1.1 | 0.1 | 10.5 | 4.2 | 5.0 | 0.8 | 4.3 | 0.4 |
| Cu (mg kg-1) | 3.4 | 0.4 | 33.5 | 1.2 | 2.5 | 0.2 | 2.1 | 0.2 | 13.4 | 1.2 | 1.7 | 0.2 |
| CEC_meq | 11.9 | 1.3 | 25.8 | 1.6 | 9.0 | 0.9 | 16.1 | 1.1 | 42.0 | 3.2 | 15.1 | 1.1 |
| Sand (%) | 56.3 | 3.6 | 27.9 | 1.4 | 60.5 | 3.0 | 50.8 | 2.3 | 29.6 | 6.3 | 44.9 | 2.6 |
| Silt (%) | 15.2 | 1.8 | 19.9 | 0.7 | 10.6 | 1.2 | 16.1 | 1.1 | 23.8 | 1.2 | 14.3 | 1.0 |
| Clay (%) | 28.6 | 3.2 | 52.2 | 1.6 | 28.9 | 2.5 | 34.2 | 1.7 | 48.3 | 3.6 | 41.4 | 1.7 |
| C (%) | 1.8 | 0.2 | 3.2 | 0.1 | 1.3 | 0.1 | 2.1 | 0.1 | 2.9 | 0.1 | 2.9 | 0.1 |
| N (%) | 0.1 | 0.0 | 0.2 | 0.0 | 0.1 | 0.0 | 0.1 | 0.0 | 0.2 | 0.0 | 0.2 | 0.0 |
| Nutrient applied in kg ha-1 | |||||||
|---|---|---|---|---|---|---|---|
| Treat no | Description | N | P2O5 | K2O | S | Zn | B |
| T1 | N0P0 | 0 | 0 | 0 | 0 | 0 | 0 |
| T2 | N40P0 SZnB | 40 | 0 | 0 | 10 | 1 | 0.3 |
| T3 | N80P0 SZnB | 80 | 0 | 0 | 10 | 1 | 0.3 |
| T4 | N40P30 SZnB | 40 | 30 | 0 | 10 | 1 | 0.3 |
| T5 | N80P30 SZnB | 80 | 30 | 0 | 10 | 1 | 0.3 |
| T6 | N120P30 SZnB | 120 | 30 | 0 | 10 | 1 | 0.3 |
| T7 | N80P60 SZnB | 80 | 60 | 0 | 10 | 1 | 0.3 |
| T8 | N120P60 SZnB | 120 | 60 | 0 | 10 | 1 | 0.3 |
| T9 | N160P60 SZnB | 160 | 60 | 0 | 10 | 1 | 0.3 |
| T10 | N120P60K30 SZnB | 120 | 60 | 30 | 10 | 1 | 0.3 |
| T11 | N120P60K60 SZnB | 120 | 60 | 60 | 10 | 1 | 0.3 |
| T12 | N120P60K60 | 120 | 60 | 60 | 0 | 0 | 0 |
| T13 | N40P0 | 40 | 0 | 0 | 0 | 0 | 0 |
| T14 | N40P30 | 40 | 30 | 0 | 0 | 0 | 0 |
| Nutrient applied in kg ha-1 | ||||||||
|---|---|---|---|---|---|---|---|---|
| Treat no | Description | N | P2O5 | K2O | S | Zn | B | Cu |
| T1 | N0P0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| T2 | N40P0 | 30 | 0 | 0 | 0 | 0 | 0 | 0 |
| T3 | N80P0 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
| T4 | N40P17 | 30 | 17 | 0 | 10 | 1 | 0.3 | 0.3 |
| T5 | N80P17 | 60 | 17 | 0 | 10 | 1 | 0.3 | 0.3 |
| T6 | N40P34 | 30 | 34 | 0 | 10 | 1 | 0.3 | 0.3 |
| T7 | N80P34 | 60 | 34 | 0 | 10 | 1 | 0.3 | 0.3 |
| T8 | N120P34 | 90 | 34 | 0 | 10 | 1 | 0.3 | 0.3 |
| T9 | N80P69 | 60 | 51 | 0 | 10 | 1 | 0.3 | 0.3 |
| T10 | N120P69 | 90 | 51 | 0 | 10 | 1 | 0.3 | 0.3 |
| T11 | N160P69 | 120 | 51 | 0 | 10 | 1 | 0.3 | 0.3 |
| T12 | N80P34K25 | 60 | 34 | 30 | 10 | 1 | 0.3 | 0.3 |
| T13 | N80P34K50 | 60 | 34 | 60 | 10 | 1 | 0.3 | 0.3 |
| T14 | N120P69K25 | 120 | 51 | 30 | 10 | 1 | 0.3 | 0.3 |
| T15 | N120P69K50 | 120 | 51 | 60 | 10 | 1 | 0.3 | 0.3 |
| T16 | N40P17 | 30 | 17 | 0 | 0 | 0 | 0 | 0 |
| T17 | N80P34K25 | 60 | 34 | 30 | 0 | 0 | 0 | 0 |
| T18 | N120P69K50 | 120 | 51 | 60 | 0 | 0 | 0 | 0 |
| AEZ | Nutrient regime | Yield (-SMN, kg ha-1) |
Yield (+SMN kg ha-1) |
Δ Yield (kg ha-1) |
SE | t value | p value |
|---|---|---|---|---|---|---|---|
| 2023A | |||||||
| NMF | N only | 4,022 | 3,644 | -378 | 554 | 0.415 | 0.679 |
| NP | 4,861 | 3,629 | -1231 | 554 | 2.184 | 0.033 | |
| NPK | 4,182 | 4,345 | 163 | 554 | -0.018 | 0.986 | |
| LVC | N only | 5,484 | 5,349 | -134 | 752 | 1.072 | 0.286 |
| NP | 5,799 | 5,434 | -365 | 752 | 0.485 | 0.628 | |
| NPK | 6,084 | 6,647 | 563 | 752 | -0.931 | 0.354 | |
| Mt. Elgon HF | N only | 8,709 | 8,408 | -301 | 909 | 0.376 | 0.708 |
| NP | 8,206 | 8,946 | 740 | 909 | -0.806 | 0.423 | |
| NPK | 10,087 | 8,921 | -1,167 | 909 | 1.283 | 0.204 | |
| 2023B | |||||||
| WMHF | Low NP | 2902 | 2854 | -48 | 0.223 | 0.825 | |
| Medium NP | 3421 | 3913 | 492 | -2.970 | 0.007 | ||
| High NPK | 4354 | 4380 | 27 | -0.104 | 0.917 | ||
| Mbale Farmlands | Low NP | 2171 | 1999 | -172 | 1.354 | 0.198 | |
| Medium NP | 2505 | 2525 | 20 | -0.133 | 0.918 | ||
| High NPK | 2948 | 2782 | -166 | 0.818 | 0.427 | ||
| LVC | Low NP | 2838 | 2276 | -562 | 2.061 | 0.049 | |
| Medium NP | 2992 | 2680 | -311 | 1.947 | 0.062 | ||
| High NPK | 3407 | 3080 | -327 | 1.976 | 0.056 |
| Source of variance | Df | SS | MS | F value | Pr (>F) |
|---|---|---|---|---|---|
| 2023A | |||||
| Treatment | 13 | 335.6 | 25.82 | 10.17 | <0.0001 |
| AEZ | 2 | 1939.14 | 969.57 | 382.07 | <0.0001 |
| Soil pH | 1 | 12.73 | 12.73 | 5.01 | 0.0255 |
| Available P | 1 | 12.73 | 12.73 | 5.02 | 0.0043 |
| Exchangeable K | 1 | 19.55 | 19.55 | 7.71 | <0.001 |
| CEC | 1 | 124.19 | 124.19 | 48.94 | <0.0001 |
| N | 1 | 44.98 | 44.98 | 17.73 | <0.0001 |
| Residuals | 503 | 1276.43 | 2.54 | ||
| 2023B | |||||
| Treatment | 17 | 207.66 | 12.22 | 9.02 | <0.00001 |
| AEZ | 2 | 319.79 | 159.89 | 118.10 | <0.00001 |
| Soil pH | 1 | 21.18 | 21.18 | 15.65 | <0.00001 |
| Available P | 1 | 256.57 | 256.57 | 189.51 | <0.00001 |
| CEC | 1 | 96.10 | 97.10 | 70.98 | <0.00001 |
| C | 1 | 25.40 | 25.39 | 18.76 | <0.00001 |
| Residuals | 1092 | 1478.43 | 1.35 |
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