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Soybean yield loss from delayed postemergence herbicide application based on weed height, days after emergence, accumulated crop heat units, and soybean growth stage

Published online by Cambridge University Press:  25 April 2022

Nader Soltani*
Affiliation:
Adjunct Professor, University of Guelph, Ridgetown, ON, Canada
Christy Shropshire
Affiliation:
Research Technician, University of Guelph, Ridgetown, ON, Canada
Peter H. Sikkema
Affiliation:
Professor, University of Guelph, Ridgetown, ON, Canada
*
Author for correspondence: Nader Soltani, Department of Plant Agriculture, University of Guelph Ridgetown Campus, 120 Main St. East, Ridgetown, ON, CanadaN0P 2C0. Email: soltanin@uoguelph.ca
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Abstract

Limited information exists on the critical time of weed removal (CTWR) with the currently used soybean cultivars in Ontario. A study consisting of eight field experiments was conducted from 2017 to 2019 in Ontario, Canada, to determine the impact of delayed postemergence (POST) herbicide application on soybean yield based on average weed height at application, days after crop emergence (DAE), accumulated crop heat units (CHU) from the date of planting, and soybean growth stage. The regression model estimated the weed size at herbicide application that led to 1%, 2.5%, and 5% yield loss in soybean was 9, 14, and 20 cm under low weed density (averaging 73 to 134 plants m−2) and 3, 4, and 6 cm under high weed density (143 to 153 plants m−2) conditions, respectively. The estimated DAE at herbicide application time that led to 2.5%, 5%, 10%, and 25% yield loss in soybean was 24, 30, 37, and 53 DAE under low weed density and 8, 10, 14, and 23 DAE under high weed density, respectively. The predicted crop stage at herbicide application that resulted in 2.5%, 5%, 10%, and 25% yield loss in soybean was V4, V5, R2, and R5 under low weed density and VE, VC, V1, and V4 under high weed density, respectively. This study concludes that soybean yield loss is influenced by the weed density (low vs/high) and the time of the first POST herbicide application. When the first POST herbicide application was delayed until soybean was at the V2 stage the monetary loss was Can$20.46 and Can$221.20 ha−1 in low and high weed-density environments, respectively.

Type
Research Article
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.
Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of the Weed Science Society of America

Introduction

Canada ranks seventh in global soybean production, producing nearly 6 billion kg in 2019 (Simpson Reference Simpson2020). Most of the soybean grown in Canada is produced in the province of Ontario (OMAFRA 2021). In 2020, growers in Ontario planted almost 1.12 million hectares and produced almost 3.6 billion kg of soybean with a farm-gate value of nearly Can$1.5 billion (OMAFRA 2021). Soybean has short physical stature that makes the crop vulnerable to weed interference. The yield loss committee of the Weed Science Society of America reported that if weeds are not controlled, soybean producers in the United States and Canada would lose an average of 52% of their soybean grain yield with a value of US$17.2 billion annually (Soltani et al. Reference Soltani, Dille, Burke, Everman, VanGessel, Davis and Sikkema2017).

Determining the critical weed-free period (CWFP) is necessary for developing weed management strategies in soybean crop production. The CWFP is defined as the duration of the crop life cycle during which if weeds are not controlled, irreversible crop losses occur (Zimdahl Reference Zimdahl1980). The beginning or the onset of the CWFP is determined using the critical time of weed removal (CTWR), whereas the end of the CWFP is the time in the growth of a crop when if weeds emerge after this time they do not have any impact on crop yield (Knezevic et al. Reference Knezevic, Evans, Blankenship, Van Acker and Lindquist2002). Controlling weeds outside of the CWFP provides limited advantages in obtaining optimum crop yield (AAFC 2021). Controlling weeds during the CWFP can help improve the efficiency of weed management and reduce herbicide application needs (Van Acker et al. Reference Van Acker, Swanton and Weise1993). Determining the CWFP can also help avoid or reduce the unnecessary use of persistent herbicides in crops (Knezevic et al. Reference Knezevic, Evans, Blankenship, Van Acker and Lindquist2002). The CWFP and CTWR can be determined based on a function of several factors including weed size, planting date, days after crop emergence (DAE), accumulated crop heat units (CHU) from emergence, crop growth stage, nitrogen application date, and other variables (Arslan et al. Reference Arslan, Uremis and Uludag2006; Bedmar et al. Reference Bedmar, Manetti and Monterubbianesi1999; Eyherabide and Cendoya Reference Eyherabide and Cendoya2002; Halford et al. Reference Halford, Hamill, Zhang and Doucet2001; Mohammadi and Amiri Reference Mohammadi and Amiri2011; Van Acker Reference Van Acker, Swanton and Weise1993).

Halford et al. (Reference Halford, Hamill, Zhang and Doucet2001) reported that soybean needs to be kept weed-free from 13 to 44 DAE to avoid greater than 2.5% yield loss. Mohammadi and Amiri (Reference Mohammadi and Amiri2011) determined the CWFP for a <5% yield loss in soybean is 9 to 47 DAE. Van Acker (Reference Van Acker, Swanton and Weise1993) determined that weeds need to be controlled by 30 DAE or the fourth node soybean stage (V4) to avoid greater than 2.5% yield loss. Zimdahl (Reference Zimdahl1980) reported that weeds need to be controlled from 28 to 42 DAE to avoid significant yield losses in soybean. Other studies have also determined that weeds must not be present from the V2 to R1 stages to protect seed yield in soybean (Baysinger and Sims Reference Baysinger and Sims1992; Fellows and Roeth Reference Fellows and Roeth1992; Mulugeta and Boerboom Reference Mulugeta and Boerboom2000).

Most of the studies on the CWFP and CTWR in soybean were conducted more than two decades ago. Recent soybean cultivars have morphological traits that may reduce the impact of early weed interference, including rapid emergence and early growth, higher shoot biomass accumulation, increased plant height, and reduced time to flowering (Jannink et al. Reference Jannink, Orf, Jordan and Shaw2000; Place et al. Reference Place, Reberg-Horton, Dickey and Carter2011; Trezzi et al. Reference Trezzi, Balbinot, Benin, Debastiani, Patel and Miotto2013). The weed suppression ability of these new cultivars can affect the impact of early season weed interference and alter the CWFP, especially the onset of the CTWR (Place et al. Reference Place, Reberg-Horton, Dickey and Carter2011; Trezzi et al. Reference Trezzi, Balbinot, Benin, Debastiani, Patel and Miotto2013).

Most of the studies conducted in Ontario to determine the CWFP and specifically the CTWR were conducted with glyphosate-susceptible soybean cultivars; however, most growers in Ontario have transitioned to glyphosate-, glufosinate-, dicamba-, and/or 2,4-D-resistant cultivars over the past 25 yr (Gulden et al. Reference Gulden, Sikkema, Hamill, Tardif and Swanton2009; Van Acker et al. Reference Van Acker, Swanton and Weise1993). The adoption of these new cultivars has shifted soybean cropping systems to earlier seeding time, increased seeding rates, narrow crop row width, and increased fertilization rates which can potentially alter the start (CTWR) and duration of the CWFP in soybean (Gulden et al. Reference Gulden, Sikkema, Hamill, Tardif and Swanton2009). The early planting dates have also shifted the weed species community composition and density, which may have altered the CWFP. The prevalence of herbicide-resistant weeds, including glyphosate-resistant weeds in recent years, may have also changed weed community composition and the onset and duration of the CWFP, and the CTWR, in soybean (Gulden et al. Reference Gulden, Sikkema, Hamill, Tardif and Swanton2009).

Limited information exists on the CTWR with the currently used soybean cultivars in Ontario. Information on the onset of CWFP is critically necessary because it allows soybean producers to implement timely weed management tactics to avoid significant yield losses. The objective of this study was to determine the CTWR in soybean with postemergence (POST) herbicides under low and high weed interference environments based on weed size, DAE, accumulated CHU from planting, and soybean growth stage.

Materials and Methods

The study consisted of eight field experiments conducted in Ontario near Exeter in 2017, 2018, and 2019, and Ridgetown in 2017, 2018a, 2018b, 2019a, and 2019b, in fields with common weeds in Ontario. Common weed species in Ontario include common lambsquarters (Chenopodium album L.), pigweeds (Amaranthus spp.), common ragweed (Ambrosia artemisiifolia L.), wild mustard (Sinapis arvensis L.), smartweed (Polygonum scabrum Moench.), eastern black nightshade (Solanum ptycanthum Dun.), wild buckwheat (Polygonum convolvulus L.), ladysthumb (Polygonum persicaria L.), velvetleaf (Abutilon theophrasti Medic.), barnyardgrass [Echinochloa crus-galli (L.) P. Beauv], and foxtails (Setaria spp.). The soil at Exeter was a Brookston clay loam (Orthic Humic Gleysol, mixed, mesic, and poorly drained), and the soil at the Ridgetown location was a Watford/Brady sandy loam. Seedbed preparation in all experiments consisted of fall moldboard plowing followed by two passes with a field cultivator with rolling basket harrows in the spring.

The experiment was a randomized complete block design with four replications. Plots were 3 m wide and 10 m long at Exeter and 8 m long at Ridgetown, and included four rows of soybean (glyphosate/dicamba-resistant; DKB 10-01/DKB 06-61/DKB 12-57) seeded in rows spaced 75 cm apart at approximately 400,000 seed ha−1 in May of each year. All experiments were fertilized according to recommended Ontario soybean production practices.

Treatments included a weedy control, a weed-free control, and six POST treatments in which the first herbicide application (glyphosate) was made when weeds were up to 5, 10, 15, 20, 30, and 50 cm in height. The planned experimental trigger for herbicide applications was weed size, the average weed canopy height in a mixed weed population. No soil-applied herbicides were used. All treatments were maintained weed-free with sequential glyphosate applications or hand hoeing until harvest after the first herbicide application.

Glyphosate (900 g ae ha−1) was applied with a CO2-pressurized backpack sprayer calibrated to deliver 200 L ha−1 of water at 200 kPa. The boom was 1.5 m long with four nozzles (Hypro ULD120-02 nozzle tips; Sprayer Supplies, Cary, NC) spaced 0.5 m apart producing a spray width of 2.0 m.

Soybean was combined (two center rows) at harvest maturity using a small-plot combine; soybean seed weight and moisture content were recorded. Yields were adjusted to 13% seed moisture and converted to kilograms per hectare. The yield was converted to a percent of the weed-free control to standardize yield. The average soybean yield and price (2017 to 2019) in Ontario (OMAFRA 2019) was used to determine monetary loss when the first POST herbicide application is delayed based on weed size, DAE, accumulated CHU from planting, and soybean growth stage.

Data analysis was carried out using SAS v.9.4 software (SAS Institute Inc., Cary, NC), and the level of significance was set at P<0.05. The soybean yield relative to the weed-free control—the response variable—was regressed against initial herbicide application timing, expressed as four individual explanatory variables (EVARs): weed size, DAE, CHU accumulated from planting, or soybean growth stage. Weed size was not measured after the last application, and therefore, the relative yield of the weedy control could not be included for this EVAR. DAE was the difference in days between soybean emergence and each application date; the weed-free control was given a value of 0, and the weedy control, reflecting the presence of weeds season-long, was represented by the number of days to reach harvest maturity. The accumulated CHU from planting date to each application date was determined from daily data obtained from the nearest weather station, and the weedy control was assigned a CHU corresponding to the cultivar maturity rating. The crop stage was recorded at the time of each application, and each stage was assigned a numerical value: 0 for the preemergence application on the weed-free control, 1 for VE, and up to 15 for R8, corresponding to the weedy control.

Prior to regression analysis, scatterplots of the data were examined to determine potential models, and a four-parameter log-logistic model was selected. Based on the scatterplots, it appeared that two environments differed from the other six environments in their yield response. One difference between the two groups of environments was the overall weed density: six environments had lower weed densities, ranging from 22 to 175 plants m−2 at individual application timings and averaging 73 to 134 plants m−2 for the season, while the other two environments had higher weed densities, ranging from 104 to 178 plants m−2 at individual application timings and averaging 143 to 153 plants m−2 for the season. Using the Glimmix procedure, the environment by EVAR interactions was used to measure the consistency in response for all environments combined, and for the two groups of environments separately. With all environments pooled, P-values for the interaction ranged from <0.0001 to 0.007, indicating that responses were not consistent among environments. However, P-values for the interaction ranged from 0.066 to 0.65 when the two groups of environments were separated, indicating a more consistent response within each group. To further confirm, corrected Akaike information criterion (AICc) values were calculated and compared for all environments pooled versus environments separated into the two groups; for all EVARs, AICc values were substantially lower for the latter scenario.

Regression analysis was carried out using the NLIN procedure, and residual plots were checked to make sure the assumptions of the analysis were met. The root-mean-square error (RMSE) and modeling efficiency (ME), as well as plots of actual versus predicted values were used to assess goodness of fit for the model evaluated. The log-logistic model used to regress relative soybean yield against herbicide application timing expressed as each EVAR, was:

(1) $Y = C + (D - C)/(1 + {\rm exp}\, [-b (\rm {ln \;EVAR - ln \;I_{50}})])$

where C is the upper asymptote, D is the lower asymptote, b is the slope and I50 is the value of an EVAR, which gives a response halfway between C and D. Predicted values of each EVAR that gave a 1%, 2.5%, 5%, 10%, 25%, and 50% reduction in yield, relative to the weed-free control were calculated using the regression equations.

Results and Discussion

The weed size at the application time that led to a 1%, 2.5%, and 5% yield loss in soybean relative to the season-long weed-free control was 9, 14, and 20 cm, respectively, when weed density was low (Table 1; Figure 1). In addition, weed size at application time that led to a 1%, 2.5%, 5%, 10%, and 25% yield loss in soybean relative to the season-long weed-free control was 3, 4, 6, 10, and 25 cm, respectively, when weed density was high (Table 1; Figure 1).

Table 1. Parameter estimates and predicted values for relative soybean yield regressed against initial herbicide application timing. a

a Abbreviations: CHUpl, accumulated crop heat units from the date of planting; DAE, days after crop emergence; EVAR, explanatory variable; HD, high weed density; LD, low weed density; ME, modeling efficiency; RMSE, root-mean-square error.

b Log-logistic equation parameters (Equation 1): b, slope; C, upper asymptote; D, lower asymptote; I50, EVAR value required for 50% response.

c YL1, YL2.5, YL5, YL10, YL25, and YL50 are the values of an EVAR that result in a 1%, 2.5%, 5%, 10%, 25%, or 50% loss in soybean yield relative to the season-long weed-free control. A dash (-) or double dash (–) indicates the value in question was non-estimable because the asymptote was reached prior to that particular level of yield loss or the estimated values lie outside the range of values evaluated, respectively.

d Sequential numeric values assigned to vegetative and reproductive soybean stages: 0 = preemergence, 1 = VE … 7 = V5, 15 = R8.

Figure 1. Relative soybean yield as a function of weed size at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.88, root-mean-square error (RMSE) = 5.2; high weed density (HD) ME = 0.92, RMSE = 6.7. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

The DAE at application time that led to a 2.5%, 5%, 10%, and 25% yield loss in soybean relative to the season-long weed-free control was 24, 30, 37, and 53 DAE with low weed density (Table 1; Figure 2). However, the DAE at application time that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control was 6, 8, 10, 14, 23, and 41 DAE, respectively, with high weed density (Table 1; Figure 2). In other studies, Van Acker et al. (Reference Van Acker, Swanton and Weise1993), studying the CWFP of soybean, reported that the CTWR was from 9 to 38 DAE, but the end of CWFP was consistently at 25 DAE to avoid >2.5% soybean yield loss. Chhokar et al. (Reference Chhokar, Balyan and Pahuja1995) found the CTWR for soybean to be 27 to 40 DAE, and the crop had to be kept weed-free for 45 DAE to obtain 97.5% grain yield. Halford et al. (Reference Halford, Hamill, Zhang and Doucet2001) reported that soybean needs to be kept weed-free until 13 to 44 DAE to avoid >2.5% yield loss in soybean. Keramati et al. (Reference Keramati, Pirdashti, Esmaili, Abbasian and Habibi2008) found that soybean needs to be maintained weed-free between 26 to 63 DAE to achieve maximum soybean yield. Mohammadi and Amiri (Reference Mohammadi and Amiri2011) using a fitting logistic and Gompertz equation determined the CWFP for a 5% yield loss in soybean to be 9 to 47 DAE.

Figure 2. Relative soybean yield as a function of days after crop emergence (DAE) at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.7; high weed density (HD) ME = 0.91, RMSE = 6.5. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

The more accumulated CHU prior to application, the greater the yield loss. The CHU from planting at application time that led to a 1%, 2.5%, 5%, 10%, and 25% yield loss in soybean relative to the season-long weed-free control was 513, 703, 891, 1,147, and 1,761 CHU, respectively, from planting under low weed density conditions (Table 1; Figure 3). However, the CHU from planting at application time that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control was 281, 338, 407, 509, 742, and 1,207 CHU, respectively, from planting under high weed density conditions (Table 1; Figure 3). In other studies, Arslan et al. (Reference Arslan, Uremis and Uludag2006) calculated the CWFP to prevent 10% yield loss in soybean varies between 1,369 to 1,376 CHU, which is consistent with the CHU reported by Halford et al. (Reference Halford, Hamill, Zhang and Doucet2001). Mohammadi and Amiri (Reference Mohammadi and Amiri2011) using a fitting logistic and Gompertz equation determined the CWFP for a 5% yield loss in soybean to be 11 to 743 CHU.

Figure 3. Relative soybean yield as a function of cumulative heat units (CHU) accumulated from planting at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.6; high weed density (HD) ME = 0.91, RMSE = 6.6. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

The crop stage that led to a 2.5%, 5%, 10%, and 25% yield loss in soybean relative to the season-long weed-free control was V4, V5, R2, and R5, respectively, with low weed density (Table 1; Figure 4). However, the crop stage that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control was VE, VE, VC, V1, V4, and R3, respectively, with high weed density (Table 1; Figure 4). In other studies, Van Acker et al. (Reference Van Acker, Swanton and Weise1993) reported that the beginning of CWFP was from the second node (V2) to the reproductive stage (R1), but the end of CWFP was consistently at the fourth node stage (V4) to avoid >2.5% soybean yield loss in soybean. Eyherabide and Cendoya (Reference Eyherabide and Cendoya2002) reported a CWFP of V2 to R1 to avoid significant yield losses in soybean. Halford et al. (Reference Halford, Hamill, Zhang and Doucet2001) reported a CWFP of V1 to R1 to avoid greater than 2.5% yield loss in soybean. Similarly, Mohammadi and Amiri (Reference Mohammadi and Amiri2011) using a fitting logistic and Gompertz equation determined the CWFP for a 5% yield loss in soybean to be from the V1 to R1 stage in soybean growth. Keramati et al. (Reference Keramati, Pirdashti, Esmaili, Abbasian and Habibi2008) also found that soybean needs to be kept weed-free from the V2 to R1 growth stages for maximum soybean yield.

Figure 4. Relative soybean yield as a function of crop stage at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.7; high weed density (HD) ME = 0.90, RMSE = 7.2. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable. cSequential numeric values assigned to vegetative and reproductive soybean stages: 0 = preemergence, 1 = VE … 7 = V5, 15 = R8.

Results of this study showed that the relative soybean seed yield decreased as the weed size, DAE, accumulated CHU from the planting, and soybean growth stage increased before the first herbicide application. The CTWR was much earlier under higher weed density conditions compared to lower weed density conditions. To cause a 5% soybean seed yield loss, the average weed size was predicted to be 20 cm under low weed density and 6 cm under high weed density. The number of days that led to a 5% yield reduction in soybean was 30 DAE under low weed density and only 10 DAE under high weed density. Similarly, the accumulated CHU from planting that led to a 5% yield reduction in soybean was 891 CHU from planting under low weed density and only 407 CHU from planting under high weed density. If the weeds were not controlled until V4, V5, R2, and R5 stages, the data predict that there would be a 2.5%, 5%, 10%, and 25% reduction in soybean yield, respectively, under low weed density conditions. However, when the weed density was high, the data predict that soybean yield can be reduced by 1%, 2.5%, 5%, 10%, 25%, and 50% if weeds are not controlled at Ve, VE, VC, V1, V4, and R3 stages, respectively. These results indicate that soybean is sensitive to early weed interference and the importance of timely POST herbicide application. Weeds must be controlled before they reach 20 cm in height, prior to 30 d after crop emergence, prior to 891 accumulated CHU from emergence, or prior to the V5 soybean growth stage under a low weed density environment to avoid >5% soybean seed yield loss. Additionally, weeds must be controlled before they reach 6 cm in height, prior to 10 DAE, prior to 407 accumulated CHU from planting, or prior to the VC soybean growth stage under a high weed density environment to avoid >5% soybean seed yield loss. The average soybean yield and price in Ontario (2017 to 2019) was 3,170 kg ha−1 and Can$446.17 ha−1 (OMAFRA 2019). When the first POST herbicide was applied when weeds were an average of 5 cm in height in the low and high density environments the monetary loss was Can$8.55 and Can$49.28 ha−1, respectively; when the first application was delayed until 10 DAE the monetary loss was Can$15.31 and Can$66.15 ha−1, respectively; when the first application was delayed until 400 accumulated CHU after planting the monetary loss was Can$7.26 and Can$66.48 ha−1, respectively; and when the first application was delayed until V2 the monetary loss was Can$20.46 and Can$221.20 ha−1, respectively. This study concludes that the soybean yield and monetary loss can be substantial when the first postemergence herbicide application is delayed in high weed density environments.

Acknowledgments

Funding for this project was provided in part by the Grain Farmers of Ontario and the Ontario Ministry of Agriculture, Food, and Rural Affairs. No other conflicts of interest have been declared.

Footnotes

Associate Editor: Rodrigo Werle, University of Wisconsin

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Figure 0

Table 1. Parameter estimates and predicted values for relative soybean yield regressed against initial herbicide application timing.a

Figure 1

Figure 1. Relative soybean yield as a function of weed size at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.88, root-mean-square error (RMSE) = 5.2; high weed density (HD) ME = 0.92, RMSE = 6.7. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

Figure 2

Figure 2. Relative soybean yield as a function of days after crop emergence (DAE) at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.7; high weed density (HD) ME = 0.91, RMSE = 6.5. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

Figure 3

Figure 3. Relative soybean yield as a function of cumulative heat units (CHU) accumulated from planting at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.6; high weed density (HD) ME = 0.91, RMSE = 6.6. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable.

Figure 4

Figure 4. Relative soybean yield as a function of crop stage at the time of herbicide application. Predicted regression lines were calculated using the log-logistic model (Equation 1). Low weed density (LD) modeling efficiency (ME) = 0.79, root-mean-square error (RMSE) = 6.7; high weed density (HD) ME = 0.90, RMSE = 7.2. aYL1, YL2.5, YL5, YL10, YL25, and YL50 indicate weed size at the application that led to a 1%, 2.5%, 5%, 10%, 25%, and 50% yield loss in soybean relative to the season-long weed-free control. bNon-estimable. cSequential numeric values assigned to vegetative and reproductive soybean stages: 0 = preemergence, 1 = VE … 7 = V5, 15 = R8.