Sustaining Soil Fertility and Yield by Inductive cum Targeted Yield Model-based Fertilizer Prescriptions for Finger millet ( Eleusine coracana L.) in Alfisols of Tamil Nadu, Southern India

Background: Finger millet cultivation in Alfisols ( Typic rhodustalf , Palaviduthi soil series) demands an optimal integrated plant nutrient supply to achieve desired yields. In order to develop the soil test crop response to fertilizer and farm yard manure (FYM) through integrated plant nutrition system (STCR-IPNS) in terms of nutrient uptake, yield and pre-sowing STVs, a field investigation on Finger millet [ Eleusine coracana (L.) Gaertn.] was conducted at the farmer’s field of Thoppupatti village, Dindigul district, Southern Agro-climatic zone of Tamil Nadu, Southern India during December 2021-August 2022. Methods: By adopting the Inductive cum Targeted Yield Model before the test crop of Finger millet, a artificial soil fertility gradient was created by the application of graded levels of NPK fertilizers with fodder sorghum as a gradient crop. Result: The basic data viz ., N, P and K nutrients for producing 1 tonne of finger millet grain were 48 kg, 23 kg and 44 kg; the soil contributed 14.86%, 19.18% and 18.95%; fertilizer contributed 44.16%, 32.79% and 59.75% for N, P and K and farmyard manure (FYM) contributed 28.47%, 11.77% and 33.78%, respectively. Fertilizer prescription equations for finger millet and ready reckoners for the operational range of soil test results for the intended yield target under NPK alone and IPNS (NPK + FYM) were produced using the basic data.


INTRODUCTION
Millets and their products are becoming increasingly popular due to their high nutritional value, numerous health advantages and ease of production.However, minor millets, such as finger millet, foxtail millet, kodo millet, little millet, proso millet and barnyard millet, have received far less research and development attention than other crops.In India, finger millet accounts for 85% of the production of all minor millets.Millet comes in sixth place in global food production and millions of people in Asia and Africa depend heavily on these underutilized crops for their food security.The Government of India has designated 2018 as the "National Year of Millet" and 2023 as the "International Year of millet" by the United Nations in recognition of the importance of climate resilience, health security and food security (FAO, 2022).
Soil fertility is an important element that has an instantaneous effect on crop output.To meet the needs of the ever-growing population, the satisfactory solution is to provide greater from confined land resources.Managing soil fertility is critical to ensure nutritional security and production by preserving soil health and sustainability.Imbalanced fertilizers can deteriorate soil quality and affect nutrient use efficiency, leading to an increased demand for agriculture.To bridge this gap, balanced use of inorganic fertilizers should be promoted.Eco-friendly fertilizers are increasingly being used to boost productivity without harming the environment.
The integrated plant nutrition system (IPNS) increases crop output, soil fertility and resource use efficiency (Sharma et al., 2015).It is important to develop a nutrient management strategy based on soil analysis to improve soil quality and Sustaining Soil Fertility and Yield by Inductive cum Targeted Yield Model-based Fertilizer Prescriptions for Finger millet (Eleusine... nitrogen recovery.Ramamoorthy et al. (1967) inductive cum targeted yield model is exceptional in determining soil testbased optimum fertilizer doses for achieving specific yield levels.These recommendations are useful in the real world for using fertilizers effectively and wisely to increase crop output.Recommendations for crop yield targets may be generated based on farmers' resource availability.
Millets still serve as a traditional staple crop in parts of Sub-Saharan Africa and Asia.India is the largest producer of different kinds of millet.With an output of 1.98 million tonnes and a cultivation area of 1.19 million hectares in India, finger millet has an average yield of 1661 kg per ha.Karnataka leads Tamil Nadu (9.94% and 18.27%), Uttarakhand (9.40% and 7.76%) and Maharashtra (10.56% and 7.16%) in terms of area and output of finger millet, respectively.Tamil Nadu is one of the important states in the country cultivating finger millet, which contributes 7.24 % to the area and 16.18 % to the production (INDIASTAT 2021-22).
Therefore, experiments were done for administering a soil test-based fertilizer dose for the targeted yield of finger millet in Alfisols (Typic rhodustalf, Palaviduthi soil series) of Tamil Nadu, Southern India and to construct STCR targeted yield equations with a user's friendly quick reckoner.

Experimental site
Finger millet was used as a test crop in a field experiment at a farmer's field to develop targeted yield equations in accordance with the standard procedure of Ramamoorthy et al. (1967).Thoppupatti village, in the Vedasandur block of the Dindigul District, Southern Agro-climatic zone of Tamil Nadu, Southern India was the experimental site.It was at 261 meters above mean sea level, latitude 103449N, longitude 780435E.The Experimental field is a sandy loam texture with a weak to a medium-fine granular structure.The soil was non-calcareous, neutral in reactivity, non-saline, low in available N, medium in organic carbon, available P and K and sufficient in available Zn, Fe, Cu and Mn.
Fodder sorghum (var.CO 30) was cultivated in a fertility gradient experiment, prior to the test crop of finger millet, which produced variations in soil fertility.Initially, the fertility gradient was artificially created by applying three grades of fertilizers, namely level 1 (N 0 P 0 K 0 -Strip I), level 2 (N 1 P 1 K 1 - Strip II) and level 3 (N 2 P 2 K 2 Strip III) doses by adopting the Inductive methodology developed by Ramamoorthy et al. (1967).The N 1 P 1 K 1 levels were fixed as general fertilizer recommendations for N (N 1 ) and P and K fixing capacities of the soil (100 and 100 kg ha -1 respectively) as P 1 and K 1 .
Between April and August 2022, finger millet (Var.ATL 1) was grown as a test crop in the same field as the fertility gradient stabilizing experiment.For the application of three amounts of farmyard manure, each strip (established during the fertility gradient experiment) was divided into three blocks (0, 6.25 and 12.5 t ha -1 ).Plot-wise soil samples (0-15 cm depth) were collected and analyzed for available N (Subbaiah, 1956), available P (Olsen et al., 1954) and available K (Stanford and English, 1949) in Soil-Test Crop Response laboratory of Department of Soil Science and Agricultural Chemistry, in Tamil Nadu Agricultural University.A fractional factorial design with 24 treatments (21 treated plots and 3 control plots) in each of the three strips and 8 treatments (7 treated plots and 1 control plot) in each FYM block (63 treated plots and 9 control plots) was used for the experiment.Four levels of N (0, 30, 60 and 90 kg ha -1 ), P 2 O 5 (0, 15, 30 and 45 kg ha -1 ) and K 2 O (0, 15, 30 and 45 kg ha -1 ) were evaluated in a finger millet crop.The treatment schedule (Table 1) for the test crop trial (finger millet) was a half dose of N fertilizer along with full doses of P 2 O 5 and K 2 O and the other half was applied during the tillering stage.At harvest, grain and straw yields of each plot were recorded independently and expressed in kilograms ha -1 .Following procedures described by Humphries (1956) and Piper (1966), representative plant samples collected during harvest were oven dried at 60 °C to stable dry weight (72 h), crushed in a Wiley mill and their N, P and K contents were calculated.Nutrient uptake was calculated by multiplying nutrient content (%) by dry weight and total N, P and K uptake.A graphical representation of the experiment to develop the fertilizer prescription equation is shown in Fig 1.
Pre-sowing soil test results, grain and straw yields, fertilizer and manure doses and nutrient uptake by finger millet were used to calculate four crucial basic parameters: the number of nutrients needed to produce a tonne of finger millet grain (NR), the per cent contribution of nutrients from the soil (Cs), the per cent contribution of nutrients from fertilizers (Cf) and the per cent contribution of nutrients from farmyard manure (Co).respectively.T = Desired yield target in t ha -1 .NR = Nutrient requirement (kg t -1 ).Cs = Contribution of nutrients per cent from the soil.Cf = Contribution of nutrients per cent from fertilizer.SN, SP and SK = Soil test value for available N, P and K (kg ha -1 ), respectively.Co = Contribution of nutrients per cent from FYM. ON, OP and OK = Quantities of N, P 2 O 5 and K 2 O supplied through FYM (kg ha -1 ), respectively.Using the above equations, the FPEs are generated and serve as the basis for calculating the fertilizer dose for the desired finger millet yield target (T) of the farm's soil test values.

RESULTS AND DISCUSSION
The mean soil test values in strips I, II and III were 201, 224 and 244 kg of KMnO 4 -N ha -1 ; 20.9, 29.6 and 34.9 kg of Olsen-P ha -1 and 198, 227 and 248 kg of NH 4 OAc-K ha -1 respectively.To cover a wide range of fertility levels in the same field, it is necessary to create fertility gradients so that yield variation is significantly less affected by other factors.As a result, the presence of fertility gradients in the experimental field was effectively reflected by considerable changes in post-harvest soil test results.

Test crop-finger millet
The available N, P and K status of the soil before sowing and the nutrient uptake by grain and the yield of finger millet are shown in Table 2. Initial soil test values indicated that the available N ranged from 198 kg N ha -1 for Strip I to 250 kg N ha -1 for Strip III.Available P (Olsen-P) ranged from 18 kg ha -1 in the strip I to 37 kg ha -1 in strip III and NH 4 OAc-K was in the range of 191 kg ha -1 in strip I to strip III from 255 kg ha -1 .In soil test crop response, the actual relationship between applied nutrients, crop yield and soil fertility was assessed on the same soil type with regulated environmental factors and management techniques.To reduce the cost of fertilizer usage and increase nutrient use efficiency, it is important to utilize internationally agreed organic and inorganic sources of nutrients.The additional supply of nutrients contributed to root proliferation and improved the physical environment of the soil under balanced nutrition resulting in greater absorption of water and nutrients.
This study found that finger millet grain yield was the highest in Strip III (2.92 t ha -1 ), which was 38.9% higher than in Strip I (2.10 t ha -1 ).The uptake of major nutrients changed significantly when different amounts of N, P and K were applied across the fertility gradient and FYM levels.Table 2 shows that the N uptake ranged from 28.5 kg ha -1 in strip I to 89.5 kg in strip III.Plots with the highest amount of N applied had the highest N uptake.The highest mean P uptake was with strip III, followed by strip II with 8.5 kg and strip I with 6.1 kg.The highest average K uptake was 64 kg ha -1 , with values ranging from 35.5 to 85.5 kg.Santhi et al. (2011) reported comparable outcomes, indicating that integrated application of organic and inorganic fertilizers had superior effects on nutrient uptake to application alone.Regardless of the fertility strips, NPK-treated plots had higher yields than NPK control plots.
The differences in grain yield and NPK uptake in finger millet were due to variations in the nutrient status of N, P and K available in the soil, which is a prerequisite for creating fertiliser formulae using the basic parameters for yield targets.Singh et al. (2021), Selvam et al. (2021) and Abishek et al. (2022) reported similar operating ranges of available N, P and K in Direct seeded Rice on Mollisol, barnyard millet on Vertisol and hybrid castor on Alfisol.

Generation of basic parameters
The targeted yield model's basic parameters, such as the nutrient requirement (NR) in kilograms required to produce one tonne of grain, the per cent contribution of available N, P and K from soil (Cs), fertilizers (Cf) and FYM (Co) were calculated for the purpose of developing fertilizer prescription equations for finger millet using NPK fertilizer alone and IPNS.Singh et al. (2014)   The information showed that in order to produce 1000 kg of finger millet grain, the plant needs 21.1 kg of nitrogen, 7.5 kg of phosphorus (P 2 O 5 ) and 26.0 kg of potassium (K 2 O) (Table 3).The production of finger millet grain showed a tendency in the order of nutrient requirements: potassium > nitrogen > phosphorus.Abishek et al. (2022) observed a similar trend in demand for castor.
The percentage contribution of nutrients from the soil, namely N, P and K (Cs), to the total amount of absorption by finger millet was calculated using the information from the absolute control plots.Results showed that soil nutrients (Table 3) contributed significantly to the absorption of P, K and N nutrients, with available phosphorus contributing 19.18% accompanied by available potassium (18.95%) and soil accessible nitrogen (14.86%).Udayakumar and Santhi (2017) reported a comparable type of soil contribution to plant uptake.The optimal supply of N and P in combination with the priming effects of potassium might have caused the larger value of Cf for potassium for the absorption in native soil sources.
NPK fertilizer application plots of all the strips were used to compute the contribution of fertilizers to nutrient absorption and the trend for fertilizer contribution was K2O>N>P2O5.The magnitude of potassium fertilizer (59.75%) was 1.35 times more than that of nitrogen fertilizer (44.16%) and 1.82 times greater than that of phosphorus fertilizer (32.79%).W hen the contribution from soil and fertilizer were compared, the fertilizer's contribution was found to be higher.The per cent Cf for N, P and K was determined to be 44.16, 32.79 and 59.75, respectively, after Table 2: Pre-sowing soil available N, P and K status and IPNS (NPK+FYM) on grain yield and N, P and K uptake by finger millet.

Strip
Soil test values (kg ha 1 ) Grain yield Total uptake (kg ha  accounting for its contribution (Table 3).These findings are consistent with reports on the role of fertilizer in aggregatum onion by Sugumari et al. (2021).
The nutritional contribution from farmyard manure (Co) to total absorption was calculated using FYM alone applied plots of finger millet.The results showed that FYM contributed 28.47% of N, 11.77% of P 2 O 5 and 33.78% of K 2 O to total nutrient uptake by finger millet, with the trend K 2 O>N>P 2 O 5 noted in Table 3. Abishek et al. (2022) of soil nutrients.For phosphate fertilizers, 3 kg of fertilizer was marked down for each 3 kg increase in the amount of phosphorus that was readily accessible in the soil.For initial soil nutrient status, 48 kg, 23 kg and 44 kg of fertilizer nitrogen, phosphorus and potassium are required for every 1000 kg increase in finger millet output (Table 5).When FYM was used in tandem with N, P and K fertilizers, these equations for fertiliser prescription would serve as the foundation for prescribing the actual amounts of fertiliser dosages under IPNS.With available N, P and K STVs of 215:21.3:219kg ha -1 and target finger millet yields of 3.0, 3.5 and 4.0 t ha -1 without FYM, the amounts of fertilizer N, P 2 O 5 and K 2 O that ought to be applied are 70, 40 and 45 kg ha -1 ; 90, 45 and 45 kg ha -1 ; and 90, 45 and 45 kg ha - 1 , respectively.The quantity of fertilizer N, P 2 O 5 and K 2 O was lowered to 37, 21 and 23 kg ha -1 ; 61, 32 and 44 kg ha -1 ; and 85, 44 and 45 kg ha -1 , respectively, when 12.5 t ha -1 FYM was treated together with NPK.
As a result, site-specific fertilizer recommendations under IPNS were constructed for finger millet on Alfisols (Typic Rhodustalf, Palaviduthi soil series) of Tamil Nadu, Southern India in the current experiment utilizing the targeted yield model.

CONCLUSION
The current work established soil test-based fertilizer prescription equations for finger millet in Tamil Nadu, Southern India and Alfisols.The STCR-IPNS technique adjusted the fertilizer dosage following the demands of the specific finger millet yield goals, taking into account the contributions of soil, fertilizer and organic manure.The results showed that finger millet responded significantly to the application of NPK fertilizers with FYM and the level of response was higher than when inorganic fertilizer (NPK) was used alone.This may be successful in generating more accurate and pertinent fertilizer recommendations with balanced nutrition to the crop, sustained crop yield and soil health, as well as reducing the use of expensive fertilizer inputs.Farmers can also choose the ideal finger millet grain production target according to their financial resources and management conditions.FPEs should be used within a limited range of experimental soil test values and cannot be generalized.As a useful tool, STCR-IPNS and STCR-NPK-based nutrient management for Finger millet are to be recommended.

( i )
Nutrient requirement for finger millet (kg t -1 ) Kilograms of N/P 2 O 5 /K 2 O required per tonnes of finger millet grain production (NR) = (ii) Contribution per cent of nutrients from the soil to total uptake (Cs) Percentage contribution of N/P 2 O 5 /K 2 O from soil (Cs) = (iii) Contribution per cent of nutrients from fertilizer to total uptake (Cf) Percentage contribution of N/P 2 O 5 /K 2 O from fertilizer (Cf) = Total uptake of N/P 2 O 5 /K 2 O (kg ha -1 ) Ragi grain yield (t ha -1 ) Total uptake of N/P 2 O 5 /K 2 O in the treated plot (kg ha -1 ) -(Soil test value for available N/P 2 O 5 /K 2 O in the treated plot (kg ha -1 ) Average Cs Fertilizer N/P 2 O 5 /K 2 O applied (kg ha -1 )  100 Total uptake of N/P 2 O 5 /K 2 O in the control plot (kg ha -1 ) Soil test value for available N/P 2 O 5 /K 2 O in the control plot (t ha -1 )  100 Sustaining Soil Fertility and Yield by Inductive cum Targeted Yield Model-based Fertilizer Prescriptions for Finger millet (Eleusine... (iv) Contribution per cent of nutrients from farmyard manure to total uptake (Co) Percentage contribution of N/P 2 O 5 /K 2 O from fym (Co) = 2 O 5 and FK 2 O = Fertilizer N, P 2 O 5 and K 2 O (kg ha -1 )

FK
and Yield by Inductive cum Targeted Yield Model-based Fertilizer Prescriptions for Finger millet (Eleusine... and Singh et al. (2019)reported the same operational characteristics for wheat and linseed in Inceptisols.

Table 1 :
Treatment structure for experiment with test crop finger millet.Sustaining Soil Fertility and Yield by Inductive cum Targeted Yield Model-based Fertilizer Prescriptions for Finger millet (Eleusine... demonstrated a comparable nutritional input from Co in sesame and castor grown in the Alfisol soil type.The application of FYM may have boosted and enhanced the release and availability of nutrients and, subsequently, the recovery of additional nutrients.Organic acids generated in the soil by the breakdown of additional FYM may inhibit fixation and increase phosphorus solubility.
Fig 1: Graphical representation of the study.

prescriptions for desired yield target of finger millet under NPK alone and IPNS-based fertilization
Using prescription equations Table4, it is possible to determine the precise amount of fertilizer needed for a finger millet crop under certain climatic circumstances by plugging values for the targeted yield and STVs of N, P and K into the equations.The experimental results showed that the fertilizer N, P 2 O 5 and K 2 O needs for the intended target of finger millet reduced with rising STVs.In other words, the amount of potassium and nitrogen fertilizer declined by 8 kg respectively, for every 20 kg increase in the availability

Table 4 :
Fertilizer prescription formulations for finger millet as per STCR target yield model.

Table 3 :
Nutrient requirement, per cent contribution of nutrients from the soil, fertilizer and FYM for finger millet.