###### Feb 2013

URL: http://www.kingcorn.org/news/timeless/SeedingRateThoughts.html

# Thoughts About Seeding Rates for Corn

###### R.L. (Bob) Nielsen

Agronomy Dept., Purdue Univ.

West Lafayette, IN 47907-2054

Email address: rnielsen
at purdue.edu

f all the many agronomic management decisions a corn grower makes each year, one would think that choice of seeding rate would be among the simplest. Yet, this topic continues to garner a lot of attention in coffee shops, Internet chat rooms, the farm press, and in crop seminars. So, apparently this decision is not clear-cut.

I will admit that we agronomists are prone to re-visiting research topics every 10 to 20 years, partly because we wonder whether today's genetics respond differently than yesteryear's hybrids. Nevertheless, I tend to be skeptical when my seed company tells me that I need to increase my seeding rates in order to maximize my corn yield.

Identifying the optimum seeding rate for corn is difficult because it involves a delicate balancing act among the various yield components that multiply together to determine grain yield:

Yield = [Plants per acre] x [Ears per plant] x [Kernels per ear] x [Weight per kernel].

On the one hand, more plants per acre should equal more ears more acre which should be beneficial for optimizing yield. On the other hand, kernel numbers per plant and weight per kernel eventually decrease with increasing plant populations. That's not good for optimizing yield. Consequently, the optimum final plant population is that which best balances the benefit of more ears per acre with the disadvantage of smaller ears and lighter grain. Furthermore, stalk health and integrity often falter as plant population increases beyond some maximum threshold.

Corn plant populations have been steadily increasing in Indiana for the past 25 years at approximately 300 plants per acre per year (Fig. 1). In 2012, the estimated average plant population statewide was just over 29,000 plants per acre (ppa). Considering an average percent emergence of 95%, this means that the average statewide seeding rate is probably around 31,000 seeds per acre (spa).

Statewide increases in plant population have occurred as growers have shifted from quite low seeding rates to intermediate and higher seeding rates. In 1998, nearly 46% of Indiana's corn acres were estimated to have final stands less than 25,000 ppa and only 5% with final stands greater than 30,000 (Fig. 2). Whereas in 2012, only 14% of Indiana's acres were reported to be less than 25,000 ppa and 50% of the acres were reported to be greater than 30,000 ppa. Among the changes that have allowed growers to steadily increase plant populations has been the genetic improvement in overall stress tolerance that has resulted in a) ear size and kernel weight becoming less sensitive to the stress of thicker stands of corn and b) improved late-season stalk health.

There are those who contend that an average statewide plant population of 29,000 is too low and that Indiana corn growers are missing out on opportunities for increased grain yields with increased plant populations. Crop input suppliers sometimes recommend to their customers that seeding rates should be in the neighborhood of 35,000 or higher to maximize yield and furthermore show yield response data that appear to support those recommendations. Results of some university research also tends to favor these higher seeding rates. Some farmers and consultants point to evidence from high yield corn contests, like that of the National Corn Growers Association, that supports the need for high seeding rates to achieve yields near or above 300 bushels per acre (bpa).

Given the steady, but small, annual rate of increase in seeding rates over the years (300 ppa/year), some growers question whether suddenly increasing their seeding rate by 5000 ppa or more in a single year is a wise decision. What questions should the healthy skeptic ask when presented with advice and recommendations for such high seeding rates?

## Yield Response to Seeding Rates: Interpretation of the Data

Ultimately, the answer comes down to what the yield response data tell us. Therein lays the rub, because often we are not privy to the actual yield response data but only to the interpretation of the same. Interpretation of data involves the use of statistical analysis and statistical analysis involves decisions by the researcher on the appropriate mathematical models to rely on to determine optimum seeding rates.

Let's begin with the coffeeshop scuttlebutt that the winners of the NCGA Corn Yield Contest are all using seeding rates of 40,000 or higher in order to achieve those 300+ bpa contest winning entries. While it is true that a fair number of those winners use exceptionally high seeding rates, it is also true that there is not much of a relationship between grain yield and harvest population among those NCGA Contest winners (Fig. 3).

Let's move on to interpretation of yield response data from seeding rate trials. To mathematically describe the yield response to plant population, there are alternative "shapes" or models of response curves to choose from (Fig. 4). From a statistical perspective, more than one model may "fit" or describe the response data well. This presents a challenge to the researcher to then determine which model most accurately describes the yield response data.

You may well ask "Who cares as long as the model is a good statistical fit?" It matters because the equation that describes the model is subsequently used to calculate or predict the optimum rate. Different equations can lead to different answers and those different answers may result in different economic consequences for the grower who implements the resulting recommendation. An example may help illustrate this quandary.

Figure 5 depicts a hypothetical yield response to a range of six plant populations. The graph clearly illustrates that grain yield increases with higher plant populations, but for all practical purposes begins to level out beyond about 30,000 ppa.

One could "fit" a straight line (simple linear
response curve) model to the data set and fairly accurately describe the yield
response to seeding rate (Fig. 6). The "R^{2}" value
displayed beneath the line is the statistical value that describes how well the
equation for the line "fits" the data set. The closer this value is
to "1", the more accurately it describes the data set. For some field
research, an "R^{2}" value of 0.61 would be pretty
acceptable. If you accepted this linear response model, you would conclude that
grain yield would continue to increase as seeding rates increase, i.e., the sky
is the limit.

Figure 7 uses a quadratic response curve to describe the
data set. The curve itself suggests that yield increases to a maximum, then
decreases at seeding rates beyond the maximum. The "R^{2}"
value for this response model (0.94) is better than for the linear response
model and, frankly, most researchers would be excited to see such a good
statistical fit.

Figure 8 illustrates the use of a quadratic-plateau response
curve to describe the same data set. The model suggests that yields increase
with increasing seeding rates to a point, then levels out at higher seeding
rates. The "R^{2}" value for this response model (0.997)
implies that the model almost perfectly describes the yield response to seeding
rate, although technically the simpler quadratic response curve with an "R^{2}"
value of 0.94 is a perfectly acceptable statistical "fit" to the data
set.

So, here is the quandary. Two of the possible response models do an excellent job of statistically describing yield response to seeding rate. Statistically, you can't go wrong with either one. However………….

If you accepted the quadratic response model, the optimum seeding rate mathematically predicted from the equation would be 39,000 ppa.

If you accepted the quadratic-plateau response model, the optimum seeding rate predicted from the equation would be 32,000 ppa or 7,000 fewer plants per acre than the optimum rate calculated from the simpler quadratic response model.

Based on a fairly common seed cost of $3 per thousand ($240/80k bag), following the recommendation based on the quadratic response model would translate to an additional $21 per acre in seed cost for the grower with no assurance that yields would actually be any higher than if the grower had used the lower seeding rate recommendation based on the quadratic-response model.

## Bottom Line

The consequence of this simple example is that researchers bear a responsibility to growers to carefully analyze and interpret yield responses to quantitative crop inputs such as seeding rates or nitrogen fertilizer rates. Based on my interpretation of yield response data from both university and commercial seeding rate trials, I conclude that yield response of today's hybrids to seeding rates can often be described by quadratic-plateau models.

With that premise, much of the public and private sector data that I’ve looked at suggest that many Indiana corn growers should be targeting final plant populations no less than 31,000 ppa or seeding rates of around 33,000 spa. The primary exception to this interpretation would be those soils or growing conditions that severely limit yield potential (e.g., droughty sandy soils). For those challenging conditions, targeted plant populations might be closer to the mid-20's.

## More Information & Opportunities for On-Farm Research

Seeding rate guidelines for corn production in Indiana are available in the online publication http://www.kingcorn.org/news/timeless/SeedingRateGuidelines.html. The guidelines provided in that publication are based primarily on the results of field-scale research trials conducted throughout Indiana.

Field-scale on-farm seeding rate trials are simple to conduct, especially if your planter is equipped with GPS-enabled variable rate controls. These trials can be customized to include two or more nitrogen fertilizer rates or multiple hybrids. Such trials can also be used to evaluate yield response to plant population in different areas or “zones” within fields to help address the question about the relative merits of variable rate seeding. If you would to participate in one or more on-farm seeding rate trials with corn, please download the protocol for this at the following URL and contact me for additional information.

http://www.agry.purdue.edu/ext/ofr/protocols/PurdueCornSeedingRateProtocol.pdf

Fig. 1. Changes in reported corn plant populations in Indiana since 1986.
Data source: USDA-NASS.

Fig. 2. Harvest plant populations divided into low (<25k), medium (25-30k), and high (>30k) categories

in terms of percentage of Indiana corn acres. Data source: USDA-NASS.

Fig. 3. Grain yield versus reported harvest plant population for the top three winners of each category

in the annual National Corn Growers Association national corn yield contest, 2007-2011. Source: NCGA.

Fig. 4. Commonly used mathematical response models for describing corn grain yield response to seeding rates.

Fig. 5. An illustration of possible grain yield response to plant population..

Fig 6. Example of a linear response model to describe grain yield response to plant population. The arrow points

to the optimum plant population that would be mathematically predicted by the response model.

Fig. 7. Example of a quadratic response model to describe grain yield response to plant population.

The arrow points to the optimum plant population that would be mathematically predicted by the response model.

Fig. 8.
Example of a quadratic-plateau response model to describe grain yield response to plant population.

The arrow points to the optimum plant population that would be mathematically predicted by the response model.