Title

Irrigation Scheduling by the Checkbook Method

(AE792, Reviewed February 2024)
Summary

This publication outlines and shows the Checkbook Method of irrigation scheduling.

Lead Author
Lead Author:
Thomas F. Scherer, Extension Agricultural Engineer
Other Authors

Dean D. Steele, Associate Professor of Agricultural Engineering

Availability
Availability:
Available in print from the NDSU Distribution Center.

Contact your county NDSU Extension office to request a printed copy.
NDSU staff can order copies online (login required).

Publication Sections
Field Irrigation
Photo Credit:
Tom Scherer, NDSU

With variable rain events and a mixture of soil types, determining when to irrigate and how much water to apply during the growing season can be a challenge. With too little water, the crop is stressed, while with too much water, crops are stunted and fertilizer is leached below the root zone, and pumping costs are increased. Either way, the crop suffers and reduces the yield. 

Definitions

(Adapted from American Society of Agricultural and Biological Engineers (ASABE) Standard S526.4, used with permission)

Available soil water, more commonly called available water capacity (AWC): The portion of soil water that plant roots of most crops can absorb readily; expressed in millimeters (mm) of water per mm of soil (inches per inch, inches per foot or total inches) for a specific soil depth. It is the amount of water stored in the soil between field capacity (FC) and permanent wilting point (WP). It typically is adjusted for salinity (electrical conductivity) and rock fragment content. In some texts it also is called available water-holding capacity (AWHC).

Crop evapotranspiration (ETc): The amount of water used by the crop in transpiration and building of plant tissue, and that evaporated from adjacent soil or was intercepted by plant foliage. It is expressed as depth in mm (inches, or as the volume-depth ratio of acre-inches per acre) and can refer to daily, peak, design, monthly or seasonal quantities. Sometimes referred to as consumptive use (CU).

Crop water use: Calculated or measured water used by plants; expressed in mm per day (inches per day). Same as ETc except it is expressed as daily use only.

Deficit irrigation: An irrigation water management alternative where the soil in the plant root zone is not refilled to field capacity in all or part of the field.

Field capacity (FC): Amount of water remaining in a soil when the downward water flow due to gravity becomes negligible. An estimate of field capacity ranges between soil water contents at matric potentials of minus 10 to minus 33 kilopascal (kPa) (minus 0.1 to minus 0.33 bar).

Irrigation scheduling: The process of determining when to irrigate and how much water to apply based upon measurements or estimates of soil moisture or water used by the plant.

Management-allowed depletion (MAD): The desired soil-water deficit at the time of irrigation.

Permanent wilting point (PWP): Soil water content below which plants cannot readily obtain water and permanently wilt. Sometimes called “permanent wilting percentage,” or WP. Often estimated as the water content corresponding to a matric potential of minus 1.5 megapascal (MPa) (minus 15 bar).

Soil-water deficit: Amount of water required to raise the soil-water content of the crop root zone to field capacity. It is measured in mm (inches) of water. Also called soil-water depletion.

Water application efficiency: Ratio of the average depth of water infiltrated and stored in the root zone to the average depth of water applied.

Water-holding capacity (WHC): Total amount of water held in a freely drained soil per increment of depth. It is the amount of water held between field capacity and the oven-dry moisture level; expressed in centimeters/centimeters (cm/cm) (inches/inch), centimeters/meter (cm/m) (inches/foot) or total centimeters (inches) for a specific soil depth. Sometimes called total water-holding capacity.

Water Holding capacity graph
Adapted from Steele et.al. 2010, Applied Engineering in Agriculture with permission from ASABE

A system for scheduling irrigation using the “checkbook” method is outlined in this publication. It’s called the checkbook method because it operates just like a bank checking account. Rain and irrigation are deposits to the soil and the crop withdraws water from the root zone.

During the critical growth periods, the checkbook requires almost daily updates by the irrigator and, if used properly, it is a proven tool for irrigation scheduling.

Quick Start to Using the Checkbook

To use the checkbook method, the irrigation manager needs to obtain the maximum daily air temperature and have at least one and preferably two accurate rain gauges in or near the field being irrigated. Using the maximum daily air temperature, crop water use can be estimated from tables in this publication. The daily water use is entered into a soil water balance sheet to determine the amount of soil water removed from the root zone and the soil water deficit.

Crop water use increases the deficit, but rain and irrigation reduce the deficit. When a predetermined soil water deficit is reached, irrigation should be started.

To start, study the example soil water balance sheet and then begin your own checkbook using the blank copies at the end of this publication.

Soil Water-holding Capacity

The checkbook method is a root-zone soil-water accounting method. The amount of water plant roots can extract is a soil’s available water capacity. This is the difference in water content between a wet soil at field capacity and a dry soil at the permanent wilting point.

Soil texture is the major factor affecting soil water-holding capacity. Texture refers to the relative amounts of sand, silt and clay particles in the soil. The available water-holding capacity of the soil must be determined prior to the start of irrigation scheduling.

The available water capacity of soils in the field can be estimated using the values shown in Table 1. If more than one soil type is present in the field, the soil with the lowest water-holding capacity should be used for scheduling irrigations. However, if that soil type covers a relatively small area, the soil type covering the largest area should be used.

More accurate estimates for field soils can be found in the county soil survey books or on the Natural Resources Conservation Service (NRCS) Web Soil Survey website.

Table 1. Range of plant-available water for different soil textures.

Soil Texture

Inches of Water per Inch of Soil

Inches of Water per Foot of Soil

Coarse sand and gravel

0.02 to 0.06

0.2 to 0.7

Sands

0.04 to 0.09

0.5 to 1.1

Loamy sands

0.06 to 0.12

0.7 to 1.4

Sandy loams

0.11 to 0.15

1.3 to 1.8

Fine sandy loams

0.14 to 0.18

1.7 to 2.2

Loams and silt loams

0.17 to 0.23

2.0 to 2.8

Clay loams and silty clay loams

0.14 to 0.21

1.7 to 2.5

Silty clays and clays

0.13 to 0.18

1.6 to 2.2

The Root Zone

Assuming no subsurface restrictions, at maturity, each crop has a typical fully developed root zone depth. The root zone determines to what depth the plant can extract water from the soil.

The root zone of annual crops may not fully develop until eight weeks after the crop emerges. However, established perennials such as alfalfa and forage grasses will start with deeper roots.

Plant roots extract the greatest amount of soil water from the upper part of the root zone, and each crop is different. Generally, for all the crops shown in Figure 1, more than 90% of the water extracted from the root zone during the growing season will come from the depth shown as shaded.

Figure 1. Typical fully developed root zone depths for the commonly irrigated crops in North Dakota. The shaded area is the irrigation water management depth.
Figure 1. Typical fully developed root zone depths for the commonly irrigated crops in North Dakota. The shaded area is the irrigation water management depth.

Therefore, a depth less than a fully developed root zone can be used for irrigation management purposes. Fully developed root zone depths, along with irrigation management depths, are shown in Table 2

Table 2. Typical range of crop root depths in deep soils, along with the recommended irrigation water management depth.
CropDepth of Fully Developed Root Zone (inches)Depth of Root Zone for Irrigation Water Management (inches)
Potatoes24 to 3018
Soybeans, dry edible beans30 to 3624
Wheat, barley, oats42 to 4836
Corn, sugarbeets, sunflowers48 to 5436
Established alfalfa and forage grasses60 to 7248

At the beginning of crop emergence and growth, having the soil water-holding capacity in the total root zone at or near field capacity is important. Moist soil is necessary for germination and proper root development.

However, low previous autumn rainfall, no winter snow accumulations and less spring rain may result in dry subsoil below about 2 feet. Under these conditions, irrigating prior to or after planting to store water in the lower part of the root zone may be necessary.

Roots will not grow through or into a dry layer of soil, and a reduced root depth will result. Thus, checking the soil moisture to at least the 3-foot depth prior to or at planting time is important.

Crop Water Use

During a particular day, water use is dependent on the type of crop, stage of growth, air temperature, solar radiation (sunshine), wind speed, relative humidity and soil water content in the root zone. These are a lot of variables, and determining water use may seem complicated.

However, based on many years of research, the estimation of crop water use has been simplified for North Dakota conditions. This publication includes tables for estimating each crop’s water use based solely on daily maximum air temperature and stage of growth.

Tables 6 through 14 give the estimated water use in inches per day for the most commonly irrigated crops in North Dakota. The daily crop water use can be obtained by recording the maximum daily air temperature to within 10 F and knowing the date of crop emergence.

The date of crop emergence is when you can see about half the plants have emerged. Critical crop growth stages also are indicated on the lower part of the tables. Sometimes, due to variable weather conditions, the critical crop growth stage should determine the number of weeks past emergence, rather than the calendar.

Maximum daily air temperature is available for any location in North Dakota on TV weather broadcasts, many internet weather sites and from the local North Dakota Agricultural Weather Network station.

Pumping Capacity

The pumping capacity determines the application rate of the irrigation system. Pumping capacity often is referred to in units of gallons per minute (gpm) per irrigated acre. For example, a 750 gpm pumping rate used to irrigate 125 acres has a 6 gpm/acre pumping capacity (750 ÷ 125). A 500 gpm pumping rate used to irrigate 100 acres has a 5 gpm/acre pumping rate (Table 3).

Table 3. System pumping capacity in gallons per minute per acre for common irrigated areas under center pivots for various pumping rates assuming no evaporation or wind drift losses.

Pumping Rate (gpm)

Irrigated Area (acres)

80

100

125

132

154

400

5.00

4.00

3.20

3.03

2.60

500

6.25

5.00

4.00

3.79

3.25

600

7.50

6.00

4.80

4.55

3.90

700

8.75

7.00

5.60

5.30

4.55

800

10.00

8.00

6.40

6.06

5.19

900

11.25

9.00

7.20

6.82

5.84

1,000

12.50

10.00

8.00

7.58

6.49

1,100

13.75

11.00

8.80

8.33

7.14

1,200

15.00

12.00

9.60

9.09

7.79

Water Application Efficiency

Sprinkler irrigation is not 100% efficient. Due to evaporation and wind drift, not all pumped water gets into the soil for plant growth.

The amount of water that does not infiltrate into the soil determines the application efficiency of the system. For example, if the irrigation system is set to apply 1 inch of water but only 0.85 inch infiltrates into the soil, the application efficiency is (0.85 ÷ 1.0) x 100, or 85%. However, application efficiency can vary from about 50% during a hot, windy afternoon to more than 95% with calm winds after dark.

For good irrigation water management, the pumping capacity should match the average peak water use of the crop. For example, the seasonal average peak water use of corn is about 0.27 inch per day, although the daily peak water use may exceed 0.30 inch per day.

Therefore, the minimum pumping capacity should be able to apply the seasonal average peak amount of water with the understanding that on some days, the crop water use will be greater. Replacing 0.27 inch used by the corn in one day requires a pumping rate of 6 gpm/acre, assuming 85% application efficiency (Table 4).

Table 4. Pumping capacity represented as an equivalent daily infiltrated depth assuming 24-hour-per-day pumping.
Pumping Capacity (gpm/acre)Application Rate (inches/day)
80 % Efficiency85 % Efficiency90 % Efficiency95% Efficiency100 % Efficiency,
No Water Loss to Evaporation
40.170.180.190.200.21
4.50.190.200.210.230.24
50.210.220.240.250.26
5.50.230.250.260.280.29
60.250.270.290.300.32
6.50.280.290.310.330.34
70.300.310.330.350.37
7.50.320.340.360.380.40
80.340.360.380.400.42

With sprinklers mounted on the top of the center pivot span pipe, the average annual application efficiency is about 85% when applying 1 inch of water or more, but it drops to 80% when applying ½ to ¾ inch. Why? Because most of the pumped water that doesn’t get to the soil is lost to water that wets the plants and evaporates. The same amount is lost whether 1 inch or ½ inch is applied.

With sprinklers mounted on drop pipes, the application efficiency can be greater than 85% because less foliage is wetted. The pumping capacity shown in Table 3 can be translated into equivalent daily infiltrated depths for the various application efficiencies shown in Table 4.

For example, a center pivot with a 5.5 gpm/acre pumping capacity has an application efficiency of 85%. If the percent timer on the center pivot is set to apply 0.9 inch, making a revolution will take slightly more than three days (obtain 0.29 inch from the last column in Table 4, then 0.9 inch ÷ 0.29 inch/day = 3.1 days).

But only 85% of 0.9 inch, or 0.76 inch, actually will infiltrate into the soil for plant use. Thus, the net applied amount is 0.76 inch, or approximately 0.25 inch/day, as shown in the 85% column in Table 4.

Determining Soil Water Deficit

The checkbook expresses the soil water content in terms of deficit, which is the difference between the soil water content at field capacity and the current soil water content in the root zone. It is presented as inches of water deficit or as a percentage of the available water capacity.

Think of it as the amount of water required to fill the root zone to field capacity or the point of zero deficit. One way to picture this concept is to imagine a tube that contains 4 inches of water when full, but if it only contains 3 inches of water, then it is one-fourth low, or it has a deficit of 1 inch of water, or 25%. To fill the tube, 1 inch must be added.

To begin the checkbook method of scheduling, you must determine the soil water content in the field at the start of the growing season (day of emergence). The initial soil water content can be determined with soil moisture sensors, but the easiest way is to use a soil probe to obtain samples from several areas of the field. Pay particular attention to areas with the coarsest soil textures.

Estimate the soil water deficit using the “Feel Method” outlined in Table 5. Soil samples should be taken in 6-inch increments to the depth used for water management (Table 2). Brochures with pictures showing the feel method for various soil textures can be found on the internet by doing a search using “soil water by the feel method” or go to the website listed in the section titled Additional Irrigation Scheduling Resources for North Dakota.

Standard soil probe.
Photo Credit:
Tom Scherer, NDSU
Standard soil probe.
Testing soil moisture in the top 6 inches with a soil probe.
Photo Credit:
Tom Scherer, NDSU
Testing soil moisture in the top 6 inches with a soil probe.
Wet soil that forms a tight ball and indicates more than 75 percent available water.
Photo Credit:
Tom Scherer, NDSU
Wet soil that forms a tight ball and indicates more than 75 percent available water.
Dry soil with less than 50 percent of available water.
Photo Credit:
Tom Scherer, NDSU
Dry soil with less than 50 percent of available water.
Table 5. Guide for judging how much water has been removed from the soil. The numbers in each box are approximate inches of water deficit in 1 foot of soil depth. Divide the numbers by 2 for 6-inch soil layers. Note: A ball is formed by firmly squeezing a handful of soil. A ribbon is formed by squeezing some soil between the thumb and forefinger and pushing forward.
Soil Water DeficitFine Sands and 
Loamy Sands
Sandy Loams and 
Fine Sandy Loams
Loams, Silt Loams, 
Silty Clay Loams
Clay Loams, Silty Clays and Clay
0% to 5% (about) (field capacity)Upon squeezing, no free water appears on soil but wet outline of ball is left on hand, 0.0Upon squeezing, no free water appears on soil but wet outline of ball is left on hand, 0.0Upon squeezing, some free water appears on soil with wet outline of ball left on hand, 0.2Upon squeezing, some free water appears on soil with wet outline of ball left on hand, 0.3
5 – 25% - WetForms a weak ball under pressure with water staining on fingers, 0 to 0.2Forms a weak ball and makes a weak ribbon that breaks easily, 0 to 0.4Forms a ball; very pliable that ribbons easily, 0.0 to 0.5Forms a ball, ribbons easily and has a slick feeling, 0 to 0.6
25 – 50% - MoistForms a weak ball; will not ribbon but some water staining on fingers, 0.2 to 0.5Forms a ball under pressure with light staining on fingers, 0.4 to 0.8Forms a ball that is somewhat plastic and forms a weak ribbon, 0.5 to 1.0Forms a smooth ball and ribbons, 0.6 to 1.2
50 – 75% - Slightly MoistAppears to be dry but will form a weak ball when squeezed, 0.5 to 0.8Forms a weak ball with finger marks but not much staining on fingers, 0.8 to 1.2Forms a weak ball but holds together with pressure and no water staining on fingers, 1 to 1.5Forms weak ball; somewhat pliable but no water stains on hand, 1.2 to 1.9
75 – 100% - Dry (100% soil water deficit results in permanent wilting)Dry, loose and single grains flow through fingers, 0.8 to 1Forms a very weak ball and soil grains break away easily, 1.2 to 1.5Dry and sometimes slightly crusted; clods crumble with pressure, 1.5 to 2Baked hard; clods are hard to crumble with pressure, 1.9 to 2.5

The total root zone deficit is computed by adding the deficits for each foot. The example below shows the procedure to estimate the soil water deficit in a 3-foot root zone. This should be done at the start of the growing season and about every two weeks after emergence, depending on rain events.

Example: Estimating Soil Water Deficit: Corn was planted and has a 3-foot water management root zone (from Table 2).
Soil Water-holding Capacity at One Location in the Field
Estimated Deficit
Soil DepthSoil TextureAverage Water-holding Capacity (Table 1)
0 to 1 footFine sandy loam (fsl)0.16 inch per inch
1 to 3 feetLoamy sand (ls)0.09 inch per inch
Soil DepthWater-holding Capacity (Table 1)Estimated Percent Deficit from Field Measurements
(Table 5)
Deficit (inches)
0 to 6 inches6 in x 0.16 in/in = 0.96x 50 %= 0.48
6 to 12 inches6 in x 0.16 in/in = 0.96x 40 %= 0.38
12 to 24 inches12 in x 0.09 in/in = 1.08x 30 %= 0.32
24 to 36 inches12 in x 0.09 in/in = 1.08x 20 %= 0.22
Total4.1 1.4
 Percent Deficit34

Soil Water Balance

The soil water balance uses a checkbook like accounting procedure to show the amount of water removed from the soil profile (the deficit). Crop water use removes water from the soil and increases the deficit on a daily basis, while irrigation and/or rain add water to the soil and decrease the deficit. The purpose of irrigation scheduling is to:

  • Prevent the soil water deficit from becoming excessive, causing plant stress
  • Restrict irrigation when the deficit is very small

The amount of irrigation should not be greater than the deficit amount because this leads to leaching of nutrients and deep percolation below the root zone. Also, you must leave some room for rain to reduce runoff potential.

An important aspect of scheduling irrigations is to look several days into the future to determine when irrigation may be needed. For example, a center pivot can take three days or more to make a complete revolution and cover a field. The checkbook can be used to project and estimate what the soil water deficit will be on the last irrigated sector of the field to help determine when to start the irrigation system.

Irrigation Trigger Points Based on Soil Water Deficit

In general, annually planted crops are most sensitive to water stress in the reproductive stage of growth (flowering or early seed fill). They are less sensitive to water stress early in the growing season and later when approaching physiological maturity.

The most common scheduling guideline is to prevent the soil moisture deficit from exceeding 50 percent in the root zone. This is a general recommendation and applies to most agronomic crops such as corn, soybean, alfalfa and dry bean.

However, potato quality is very sensitive to water stress, and most growers do not want the deficit to be greater than 35 to 40%. On the other hand, sunflower and some forage crops can withstand a slightly higher deficit than 50%. Corn and soybean can withstand deficits up to 60% during vegetative growth, but with the onset of tasselling or blossoms, they should be irrigated to maintain a deficit of 50% or less.

Soil Water Balance Sheet

A completed soil water balance sheet example and blank copies are included in this publication. The irrigation manager should keep a balance sheet for each individual irrigated field. Keeping a soil water balance between zero and the allowable deficit for the specific crop in the field is the goal of irrigation scheduling.

Recording Rain and Irrigation Amounts

To use the balance sheet, the dates and measured amounts of irrigation and rain must be recorded. Rain is so variable over the landscape that two easily accessible rain gauges should be located in or near each irrigated field. Ideally, rain gauges should be located as shown in Figure 2.

The rain gauges should be at least 3 inches in diameter for accuracy. The standard 4-inch-diameter National Weather Service rain gauge that records rain events to 0.01 inch is highly recommended.

Figure 2. Ideally, each center pivot should have two rain gauges, one in the dryland corner and one along the access road about halfway to the pivot point. Soil moisture deficit should be measured near the starting point of the center pivot (A) and near the last part of the field to be irrigated (B).
Figure 2. Ideally, each center pivot should have two rain gauges, one in the dryland corner and one along the access road about halfway to the pivot point. Soil moisture deficit should be measured near the starting point of the center pivot (A) and near the last part of the field to be irrigated (B).

Daily Crop Water Use Estimates

Tables 6 through 14 provide estimates of water use for the major irrigated crops in North Dakota. To use the tables, you need to know the daily maximum air temperature and the number of weeks after emergence. To make the process easy, the maximum air temperature for a day has to be only within a 10-degree range. As an illustration, on the example soil water balance sheet, the maximum temperature on July 11 was 85 degrees.

To obtain a crop water use estimate for corn, look on Table 6 under the ninth week after emergence in the row for the range of 80 to 90 degrees to find a crop water use estimate of 0.25 inch. Estimating alfalfa water use is different because alfalfa is cut several times during the growing season and water use is reduced after cutting. The additional tables that accompany Table 14 can be used to estimate alfalfa water use the first three weeks after cutting.

Site-specific and more accurate crop water use values can be obtained by accessing the North Dakota Agricultural Weather Network website. Look under “Applications” in the left-hand menu. To obtain the water use estimates, select the nearest weather station on the network, the crop, emergence date and time period.

To use the balance sheet, enter the estimated water use and add this to the previous day’s soil water deficit. For the first day after emergence, enter the estimated deficit from the field measurements. Subtract rain and/or irrigation for that day and record the new soil water deficit amount.

Compare this to the 50% deficit point shown at the top of the balance sheet (2.05 inches on the example balance sheet) to determine when irrigation is needed. Of course, check weather reports to see if rain is forecast for the area where the field is located.

Remember, the soil water deficit never can be less than zero because zero indicates the soil is at field capacity. If a negative deficit is calculated for a particular day, enter zero in the deficit column.

To ensure the checkbook is tracking the soil water deficit accurately, the field should be probed to root zone depth about every two weeks at several locations. If the checkbook is different from the field measurements, enter the measured deficit value for that day.

Standard 4-inch-diameter National Weather Service rain gauge
Standard 4-inch-diameter National Weather Service rain gauge

Additional Irrigation Scheduling Resources for North Dakota

  • An Excel spreadsheet version of this checkbook that can be used in North Dakota and Minnesota has been developed. It can be downloaded, along with a users manual.
  • A site-specific irrigation-scheduling program for North Dakota also is available in the “Applications” section of the NDAWN website. This program automatically imports the soil properties for your specific field. It is updated automatically every day using weather data from the nearest NDAWN station. A users manual for this program can be used.
  • A pictorial-based version of estimating soil water by the feel method.

Acknowledgments

The first version of this publication was authored by Darnell R. Lundstrom and Earl C. Stegman in 1976, reprinted in 1983 and revised in 1988. This publication is a revision and update of the 1988 version. We are indebted to these gentlemen for coining the term “Checkbook Method,” which is used throughout the U.S. to refer to soil water accounting methods for irrigation scheduling.

Sample Soil Water Balance Sheet
Soil Water Balance Sheet

<< Tables 8-14 - available as images, but no source code >>

 

Worksheet to Estimate the Soil Water Deficit at One Location in the Field

(see example on page 7)

Estimated Soil Water Deficit

Crop_________________________________

Root Zone____________________________
(from Table 2)

Soil Water-holding Capacity at One Location in the Field
Soil DepthSoil TextureAverage Water-holding Capacity (Table 1)
   
   
   
   
   
   
   
   

 

Estimated Deficit
Soil DepthWater-holding Capacity (Table 1)Estimated Percent Deficit From Field Measurements and Table 5 Deficit (Inches)
0 to 6 inches            x           =
6 to 12 inches            x           =
12 to 18 inches            x           =
18 to 24 inches            x           =
24 to 30 inches            x           =
30 to 36 inches            x           =
Total   
  Percent Deficit