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Partial budgeting for acquiring and operating a ground-based optical crop sensor for variable rate nitrogen application Cover

Partial budgeting for acquiring and operating a ground-based optical crop sensor for variable rate nitrogen application

Open Access
|Jun 2022

Figures & Tables

Figure 1

Ground-based crop sensor

Abbildung 1. Bodenbasierter optischer Pflanzensensor

Table 1

Description of the scenarios implemented for VRNA during the field experiment

Tabelle 1. Beschreibung der durchgeführten Szenarien im Feldversuch mit konventioneller und variabler Stickstoffausbringung (VRNA)

Fertilizer application scenarioDescription
StimulusCrops with lower sensor-determined yield than expected1 receive higher fertilizer rate
CompensatoryCrops with higher sensor-determined yield than expected1 receive lower fertilizer rate

1 Expected yield created on the basis of the isaria’s reflectance measurement index (IRMI). This index, created by the sensor’s manufacturer, measures the vegetation index of the crop and compares it to the calibration quantity. The calibration value is selected on the basis of an NDVI map and continuously adjusted during the measurements

IRMI, isaria’s reflectance measurement index; NDVI, normalized difference vegetation index; VRNA, variable rate nitrogen application

Table 2

Partial budgeting structure for the acquisition of the crop sensor for VRNA

Tabelle 2. Teilkostenrechnungsansatz für die Anschaffung des Pflanzensensors für die variable Stickstoffausbringung (VRNA)

Additional incomeAdditional costs
Yield increasedEquipment costs
  • Annualized depreciation and interests

  • Insurance

  • Repairs and maintenance

Information costs
  • Internet expenses

  • Annualized mapping expenses Material costs

  • Fertilizer

Reduced costsReduced income
Fertilizer amountYield decreased
A. Total additional income and reduced costsB. Total additional costs and reduced income
Δ Net income = A – B

[i] VRNA, variable rate nitrogen application

Table 3

Fertilizer application rates and yield changes in comparison to the conventional way of fertilizer application

Tabelle 3. Vergleich der Düngerausbringungsraten und Ertragsänderungen des konventionellen und variablen Stickstoffausbringungsszenarios

ScenarioFertilizer applied (kg N/ha)Δ relative to baseline (kg N/ha)Yield (kg/ha)Δ relative to baseline (kg/ha)
Conventional1566,829
Stimulus63+76,760−69
Compensatory44−126,412−417

1 The conventional scenario is the baseline for comparison.

Table 4

Additional precision farming expenses

Tabelle 4. Zusätzliche Ausgaben für die Präzisionslandwirtschaft

DescriptionCostReference
ISARIA crop sensor (€) 119,393Louise (2017)
AMAZONE ZA-TS 2000 mounted17,735Oliver (2018)
spreader (€) 2
Laptop (€)1,099mediamarkt (2020)
Internet subscription (€/month)25magenta (2020)
Internet box (€)75magenta (2020)
Satellite mapping software fees (€/year)3257moneysoft (2020)
Satellite yield zoning maps (€/year)460–120AgrarCommander (2020)

1 Cost was given in British pounds (17,500 £). The present value cost in Euro was calculated with the following formula: ((cost of sensor in £ × present nominal exchange rate) × CPI in UK)/CPI in Austria

2 Cost was given in British pounds (15,500 £). The present value cost in Euro was calculated with the following formula: ((Cost of spreader in £ × present nominal exchange rate) × CPI in UK)/CPI in Austria

3 20% VAT included. Includes basic software recording and application, one-time installation fee, and XL data package

4 20% VAT included. Based on total area to be assessed

CPI, consumer price index; VAT, value added tax

Table 5

Financial data used for calculations

Tabelle 5. Für Berechnungen verwendete Finanzdaten

DescriptionValueReference
Calcium ammonium nitrate (€/t)1191agrarheute (2020)
Milling wheat (12% protein [€/t])2173AMA (2020)
Diesel (€/l)31.00globalpetrolprices (2020)
Exchange rate (€/£)41.10x-rates (2020)
CPI in the UK5108.80ONS (2020)
CPI in Austria5108.00Statistik Austria (2020)
Lifespan of sensor (years)15Assumed
Salvage value of sensor (%)26Edwards (2015)
List price of pneumatic spreader (€)23,000ÖKL (2019)
Salvage value of pneumatic spreader (%)640Edwards (2015)
Lifespan of precision spreader (years)10Assumed
Salvage value of precision spreader (%)35Edwards (2015)
Repair and maintenance of sensor (%)3ÖKL (2019)
Lifespan of the laptop (years)5Assumed
Insurance (%)2ÖKL (2019)
Interest rate (%)71.76ONB (2020)
Inflation rate (%)81.40Statistik Austria (2020)
VAT (%)20PwC (2019)
VAT on fertilizers (%)13OECD (2020)

1 September 2020

2 October 31, 2020

3 September 29, 2020

4 September 30, 2020

5 CPI August 2020

6 Capacity of spreader 1700 l–15 m

7 Lending rate – new business to nonfinancial corporations up to 1 million € over 5 years, rate of August 2020

8 August 2020

CPI, consumer price index; VAT, value added tax

Table 6

Additional studies and their change in yield due to the use of crop sensors for VRNA

Tabelle 6. Zusätzliche Studien und deren Ertragsänderung durch den Einsatz von Pflanzensensoren für VRNA

Type of crop sensorΔ yield relative to baseline (t/ha)Study
Fritzmeier1.25Galambošová et al. (2015)
Hydro N0.16Link et al. (2002)
Yara Hydro N0.04Mayfield and Trengove (2009)

[i] Conventional fertilizer application (constant fertilizer rate without sensor) is the baseline for comparison

[ii] VRNA, variable rate nitrogen application

Figure 2

Change in income (€/ha/year) caused by the acquisition and operation of the optical crop sensor for VRNA

VRNA, variable rate nitrogen application

Abbildung 2. Gewinnveränderung (€/ha/Jahr) aufgrund der Anschaffung und Verwendung eines optischen Pflanzensensors für die variable Stickstoffausbringung (VRNA)

Table 7

Payback period to cover the cost of the crop sensor device using the reduced costs from fertilizing rate application savings

Tabelle 7. Amortisationszeit zur Deckung der Kosten für den Pflanzensensor unter Verwendung der reduzierten Kosten durch die Einsparungen bei der Düngerausbringung

Fertilized area in haMean of stimulus and compensatory scenario
25331.2
50165.6
75110.4
10082.8
12566.2
15055.2
17547.3
20041.4
22536.8
25033.1
Figure 3

Comparison of scenarios using yield data from other fielded experiments implementing the same or similar crop sensor

Abbildung 3. Szenarienvergleich unter Verwendung von Ertragsdaten aus anderen Feldversuchen bei Einsatz des gleichen oder eines ähnlichen Pflanzensensors

DOI: https://doi.org/10.2478/boku-2021-0013 | Journal eISSN: 2719-5430 (formerly 0006-5471) | Journal ISSN: 0006-5471
Language: English, German
Page range: 123 - 132
Submitted on: Aug 31, 2021
Accepted on: Dec 8, 2021
Published on: Jun 23, 2022
Published by: Universität für Bodenkultur Wien
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2022 Francisco Medel-Jiménez, Andreas Gronauer, Norbert Barta, Theresa Krexner, Reinhard W. Neugschwandtner, Iris Kral, published by Universität für Bodenkultur Wien
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.