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Research article · 2023 · Full text

International Journal of Agriculture and Food Science

Quantifying the relationship between thermal indices and maize phenology

Maruschka P VrugtBart Merkus

Volume 5(2) · Pages 134–137 · DOI: 10.33545/2664844x.2023.v5.i2b.181 ↗

Research areasCrop Yield and Soil Fertility

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Abstract

Author-written

Understanding the relationship between thermal indices and maize phenology is crucial for optimizing crop management practices and improving yield prediction models. This study investigates the correlation between various thermal indices, including Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU), and key phenological stages of maize. Using a combination of field data and statistical analysis, we aim to elucidate how thermal conditions influence the development and growth stages of maize.

Summary

Source-checked

Plain-language reading of the full paper, prepared with AI and checked against the text. Each point links to the authors' own words.

  1. Why it matters

    • Maize is a globally important staple crop whose growth and development are highly sensitive to temperature. View evidence ↗

      Why it matters

      Maize is a globally important staple crop whose growth and development are highly sensitive to temperature.

      In the paper's own words

      “Maize (Zea mays L.) is a staple crop with significant agricultural importance worldwide. Its growth and development are highly sensitive to temperature, making it essential to understand how thermal conditions affect its phenology.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Predicting maize phenological stages is necessary for optimizing planting, irrigation, and the application of fertilizers and pesticides. View evidence ↗

      Why it matters

      Predicting maize phenological stages is necessary for optimizing planting, irrigation, and the application of fertilizers and pesticides.

      In the paper's own words

      “Accurate prediction of these stages allows for optimized planting schedules, efficient irrigation management, and timely application of fertilizers and pesticides.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
    • Thermal indices like Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU) are used to quantify the thermal environment and predict phenological timing. View evidence ↗

      Why it matters

      Thermal indices like Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU) are used to quantify the thermal environment and predict phenological timing.

      In the paper's own words

      “Thermal indices such as Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU) are widely used to quantify the thermal environment and predict the timing of phenological stages.”

      Page 1

      Found in: Introduction

      Read it in the full textOpen PDF at page 1 ↗
  2. The question

    • The study aims to quantify the relationship between GDD, HU, and CHU thermal indices and the phenological stages of maize. View evidence ↗

      The question

      The study aims to quantify the relationship between GDD, HU, and CHU thermal indices and the phenological stages of maize.

      In the paper's own words

      “The primary objective of this research is to quantify the relationship between thermal indices, specifically Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU), and the phenological stages of maize.”

      Page 2

      Found in: Objective of paper

      Read it in the full textOpen PDF at page 2 ↗
  3. What they did

    • Field experiments were conducted in the central agricultural region of Nebraska, USA, specifically at the University of Nebraska-Lincoln's ARDC and various Corn Belt farms. View evidence ↗

      What they did

      Field experiments were conducted in the central agricultural region of Nebraska, USA, specifically at the University of Nebraska-Lincoln's ARDC and various Corn Belt farms.

      In the paper's own words

      “The study was conducted in the central agricultural region of Nebraska, USA... Field experiments were set up at the University of Nebraska-Lincoln's Agricultural Research and Development Center (ARDC) and at multiple farms across the Corn Belt region”

      Page 2

      Found in: Study Area and Experimental Design

      Read it in the full textOpen PDF at page 2 ↗
    • Three maize hybrids (Pioneer P0987AM, Dekalb DKC62-08, and Syngenta NK8920) were planted in 10m x 10m plots using a randomized complete block design with four replicates per location. View evidence ↗

      What they did

      Three maize hybrids (Pioneer P0987AM, Dekalb DKC62-08, and Syngenta NK8920) were planted in 10m x 10m plots using a randomized complete block design with four replicates per location.

      In the paper's own words

      “The hybrids used in the study were Pioneer P0987AM, Dekalb DKC62-08, and Syngenta NK8920”

      Page 2

      “Each hybrid was planted in four replicated plots per location, with plot sizes of 10 meters by 10 meters. The experimental layout followed a randomized complete block design (RCBD)”

      Page 2

      Found in: Study Area and Experimental Design

      Read it in the full textOpen PDF at page 2 ↗
    • Automated weather stations (AWS) at each site were used to collect the temperature data required to calculate thermal indices. View evidence ↗

      What they did

      Automated weather stations (AWS) at each site were used to collect the temperature data required to calculate thermal indices.

      In the paper's own words

      “Temperature data were collected using automated weather stations (AWS) installed at each experimental site.”

      Page 2

      Found in: Temperature Data

      Read it in the full textOpen PDF at page 2 ↗
    • Correlation and regression analyses were performed using SAS version 9.4 to assess the relationship between thermal indices and phenological timing. View evidence ↗

      What they did

      Correlation and regression analyses were performed using SAS version 9.4 to assess the relationship between thermal indices and phenological timing.

      In the paper's own words

      “Correlation and regression analyses were performed to assess the relationship between thermal indices and the timing of phenological stages. The statistical software SAS (version 9.4) was used for data analysis.”

      Page 3

      Found in: Statistical Analysis

      Read it in the full textOpen PDF at page 3 ↗
  4. What they found

    • Maize emergence occurred between May 18 and May 24, exhibiting minor variability. View evidence ↗

      What they found

      Maize emergence occurred between May 18 and May 24, exhibiting minor variability.

      In the paper's own words

      “Emergence dates ranged from May 18 to May 24, showing minor variability.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
    • Growing Degree Days (GDD) for emergence ranged from 115 to 140, suggesting initial growth is sensitive to small temperature changes. View evidence ↗

      What they found

      Growing Degree Days (GDD) for emergence ranged from 115 to 140, suggesting initial growth is sensitive to small temperature changes.

      In the paper's own words

      “Emergence GDD values varied from 115 to 140, indicating that initial growth is sensitive to slight variations in temperature.”

      Page 3

      Found in: Introduction

      Read it in the full textOpen PDF at page 3 ↗
    • Tasseling GDD values were consistent across hybrids and locations, ranging from 810 to 860. View evidence ↗

      What they found

      Tasseling GDD values were consistent across hybrids and locations, ranging from 810 to 860.

      In the paper's own words

      “Tasseling GDD values ranged from 810 to 860, showing a consistent requirement of thermal units for this stage across hybrids and locations.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
    • Silking GDD values ranged from 940 to 990, following closely after the tasseling stage. View evidence ↗

      What they found

      Silking GDD values ranged from 940 to 990, following closely after the tasseling stage.

      In the paper's own words

      “The silking GDD values followed closely after tasseling, with values from 940 to 990, confirming the relationship between these two stages.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
    • Physiological maturity required the most thermal energy, with GDD values ranging from 1680 to 1740. View evidence ↗

      What they found

      Physiological maturity required the most thermal energy, with GDD values ranging from 1680 to 1740.

      In the paper's own words

      “The physiological maturity GDD values showed the highest range (1680 to 1740), reflecting the substantial thermal energy required for the crop to reach full maturity.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
    • Heat Units (HU) for physiological maturity ranged from 1380 to 1440, indicating significant thermal accumulation for full development. View evidence ↗

      What they found

      Heat Units (HU) for physiological maturity ranged from 1380 to 1440, indicating significant thermal accumulation for full development.

      In the paper's own words

      “Physiological maturity HU values varied from 1380 to 1440, highlighting the significant thermal accumulation needed for complete crop development.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
    • Crop Heat Units (CHU) for physiological maturity ranged from 1980 to 2040. View evidence ↗

      What they found

      Crop Heat Units (CHU) for physiological maturity ranged from 1980 to 2040.

      In the paper's own words

      “Physiological maturity CHU values ranged from 1980 to 2040, reflecting the extended period of thermal accumulation necessary for maize to reach full maturity.”

      Page 3

      Found in: Results and Discussion

      Read it in the full textOpen PDF at page 3 ↗
  5. What it means

    • The authors conclude that GDD and CHU are robust predictors for the key phenological stages of maize. View evidence ↗

      What it means

      The authors conclude that GDD and CHU are robust predictors for the key phenological stages of maize.

      In the paper's own words

      “The analysis demonstrated that thermal indices such as Growing Degree Days (GDD) and Crop Heat Units (CHU) are robust predictors of key phenological stages, including emergence, tasseling, silking, and physiological maturity.”

      Page 4

      Found in: Conclusion

      Read it in the full textOpen PDF at page 4 ↗
    • The authors recommend using these thermal indices to improve the precision of planting, irrigation, and fertilization schedules. View evidence ↗

      What it means

      The authors recommend using these thermal indices to improve the precision of planting, irrigation, and fertilization schedules.

      In the paper's own words

      “By using these thermal indices, farmers and agronomists can better predict the timing of critical growth stages, allowing for more precise planning of planting dates, irrigation, and fertilization schedules.”

      Page 4

      Found in: Conclusion

      Read it in the full textOpen PDF at page 4 ↗
    • The authors state that future research should incorporate additional environmental variables to refine the predictive models. View evidence ↗

      What it means

      The authors state that future research should incorporate additional environmental variables to refine the predictive models.

      In the paper's own words

      “Future research should aim to refine these models by incorporating additional environmental variables and exploring their interactions with thermal indices.”

      Page 4

      Found in: Conclusion

      Read it in the full textOpen PDF at page 4 ↗
    • The authors note that expanding the study to more diverse geographic regions is needed to improve model generalizability. View evidence ↗

      What it means

      The authors note that expanding the study to more diverse geographic regions is needed to improve model generalizability.

      In the paper's own words

      “Expanding the study to include more diverse geographic regions would improve the generalizability of the models and account for regional climatic variations.”

      Page 4

      Found in: Conclusion

      Read it in the full textOpen PDF at page 4 ↗

Visual summary

3 visuals

Illustrations explain the paper; charts are replotted from the paper's own table values.

AI-generated illustration
AI-generated conceptual illustration (maize plants). It explains the idea and does not show study data.↗ Enlarge
Maize Phenology Thermal Accumulation
AI-generated conceptual illustration (maize plants). It explains the idea and does not show study data.

AI-generated conceptual illustration (maize plants). It explains the idea and does not show study data.

Open full-size image ↗

Maize Phenology Thermal Accumulation

AI-generated conceptual illustration (maize plants). It explains the idea and does not show study data.

View source evidence ↗
Replotted from source data
Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.↗ Enlarge
Emergence GDD and Tasseling GDD and more: Pioneer P0987AM vs Dekalb DKC62-08 vs Syngenta NK8920 vs Pioneer P0987AM vs Dekalb DKC62-08
Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

Open full-size image ↗

Emergence GDD and Tasseling GDD and more: Pioneer P0987AM vs Dekalb DKC62-08 vs Syngenta NK8920 vs Pioneer P0987AM vs Dekalb DKC62-08

Replotted from Table 2 (page 2) of the original paper. Every bar is the paper's own table value.

View source evidence ↗
Replotted from source data
Replotted from Table 4 (page 3) of the original paper. Every bar is the paper's own table value.↗ Enlarge
Emergence CHU and Tasseling CHU and more: Pioneer P0987AM vs Dekalb DKC62-08 vs Syngenta NK8920 vs Pioneer P0987AM vs Dekalb DKC62-08
Replotted from Table 4 (page 3) of the original paper. Every bar is the paper's own table value.

Replotted from Table 4 (page 3) of the original paper. Every bar is the paper's own table value.

Open full-size image ↗

Emergence CHU and Tasseling CHU and more: Pioneer P0987AM vs Dekalb DKC62-08 vs Syngenta NK8920 vs Pioneer P0987AM vs Dekalb DKC62-08

Replotted from Table 4 (page 3) of the original paper. Every bar is the paper's own table value.

View source evidence ↗

Figures & tables

From the original paper
Observed Dates for Phenological Stages at ARDC and Corn Belt FarmsTable 1Page 2Calculated Growing Degree Days (GDD) for Phenological StagesTable 2Page 2Calculated Heat Units (HU) for Phenological StagesTable 3Page 2Calculated Crop Heat Units (CHU) for Phenological StagesTable 4Page 3Calculated Crop Heat Units (CHU) for Phenological StagesTable 4Page 3
FULL TEXT Original article · reflowed for reading

Introduction

Maize (Zea mays L.) is a staple crop with significant agricultural importance worldwide. Its growth and development are highly sensitive to temperature, making it essential to understand how thermal conditions affect its phenology. Thermal indices such as Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU) are widely used to quantify the thermal environment and predict the timing of phenological stages. Thermal indices offer a practical means to accumulate temperature data over the growing season and relate it to crop development. GDD, HU, and CHU are commonly used metrics that account for the cumulative effect of temperature on crop growth. GDD is calculated by taking the average of the daily maximum and minimum temperatures and subtracting the base temperature, which is the minimum temperature required for crop growth. HU and CHU are variations that incorporate different base temperatures and thresholds to fine-tune predictions for specific crops and regions. The phenological stages of maize, such as emergence, tasseling, silking, and physiological maturity, are critical milestones in the crop's lifecycle. Accurate prediction of these stages allows for optimized planting schedules, efficient irrigation management, and timely application of fertilizers and pesticides. Understanding the thermal requirements for each stage helps in making informed decisions that enhance crop productivity and resilience to climatic variations. Previous studies have highlighted the importance of temperature in determining the duration and timing of maize phenological stages. However, there is a need for more comprehensive research that integrates field data and statistical analysis to quantify these relationships accurately. This study aims to fill this gap by examining the correlation between thermal indices and maize phenology, using robust data collection and analytical methods. By elucidating the relationship between thermal indices and maize phenology, this research seeks to provide actionable insights for farmers and agronomists. Improved predictions of phenological stages can lead to better crop management practices, ultimately enhancing yield and sustainability. Moreover, the findings of this study have implications for breeding programs aimed at developing maize varieties with optimized thermal requirements for different climatic conditions. In summary, this study focuses on quantifying the relationship between thermal indices (GDD, HU, CHU) and the phenological stages of maize. Through detailed data collection and rigorous statistical analysis, we aim to provide a deeper understanding of how thermal conditions influence maize development. This knowledge will contribute to more precise crop management strategies, supporting the agricultural sector in adapting to changing climatic conditions and improving overall crop performance.

Objective of paper

The primary objective of this research is to quantify the relationship between thermal indices, specifically Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU), and the phenological stages of maize.

Materials and Methods

Materials and Methods

Study Area and Experimental Design

The study was conducted in the central agricultural region of Nebraska, USA, known for its maize production and temperate climate. Field experiments were set up at the University of Nebraska-Lincoln's Agricultural Research and Development Center (ARDC) and at multiple farms across the Corn Belt region to capture a range of thermal environments.

The experimental design included replicated plots of various maize hybrids to ensure a robust dataset. The hybrids used in the study were Pioneer P0987AM, Dekalb DKC62-08, and Syngenta NK8920, selected for their diverse genetic backgrounds and varying thermal requirements. Each hybrid was planted in four replicated plots per location, with plot sizes of 10 meters by 10 meters. The experimental layout followed a randomized complete block design (RCBD) to minimize variability and ensure the accuracy of results.

Data Collection Phonological Stages:

The phonological stages of maize were recorded following the BBCH scale, which includes below growth stages:

Observers recorded the dates of these stages for each plot.

Emergence was noted when 50% of the plants in a plot had emerged. Tasseling and silking stages were marked when 50% of the plants exhibited tassels and silks, respectively. Physiological maturity was recorded when black layer formation was observed in 50% of the kernels.

The observed dates for each phenological stage across the study locations were as follows:

Temperature Data

Temperature data were collected using automated weather stations (AWS) installed at each experimental site. These stations recorded daily maximum and minimum temperatures with high accuracy. The data were used to calculate thermal indices, specifically Growing Degree Days (GDD), Heat Units (HU), and Crop Heat Units (CHU).

Calculation of Thermal Indices

The thermal indices were calculated using standard formulas:

Growing Degree Days (GDD) GDD = Σ((Tmax + Tmin) / 2 -Tbase) where Tmax and Tmin are the daily maximum and minimum temperatures, respectively, and Tbase is the base temperature for maize (10 °C).

Heat Units (HU) HU = Σ(Tavg -Tbase) where Tavg is the average daily temperature.

Crop Heat Units (CHU) CHU = Σ[1.8((Tmax + Tmin) / 2 -4.4) -0.42(Tmin -10)]

These indices were accumulated from planting to each recorded phenological stage.

Statistical Analysis

Correlation and regression analyses were performed to assess the relationship between thermal indices and the timing of phenological stages. The statistical software SAS (version 9.4) was used for data analysis. The analysis included:

Correlation Analysis: To determine the strength and direction of the relationship between thermal indices (GDD, HU, and CHU) and phenological stages. Regression Analysis: To develop predictive models for each phenological stage based on the thermal indices. The models were evaluated using the coefficient of determination (R²) and root mean square error (RMSE) to assess their goodness-of-fit.

Goodness-of-Fit Measures

The goodness-of-fit for each regression model was evaluated using the following metrics: Coefficient of Determination (R²): Measures the proportion of variance in the dependent variable that is predictable from the independent variable(s).

Root Mean Square Error (RMSE):

Measures the average magnitude of the errors between predicted and observed values, providing a clear indication of the model's predictive accuracy.

Results and Discussion

The results of this study highlight the significant relationships between thermal indices and the phenological stages of maize. By examining the data from multiple locations and maize hybrids, we have gained valuable insights into how temperature influences maize development. The observed dates for the phenological stages across different hybrids and locations provided a clear timeline of maize development. Emergence dates ranged from May 18 to May 24, showing minor variability. This suggests that while thermal units are a major factor, other environmental conditions such as soil moisture and planting depth could also influence the initial growth stage. The tasseling stage, occurring between July 13 and July 20, indicates a more synchronized development stage. This synchronization is crucial for optimal pollination, as it ensures that pollen is available when the silks emerge. Silking occurred shortly after tasseling, demonstrating the close relationship between these two stages. Physiological maturity, observed from September 28 to October 4, showed a wider range, reflecting the cumulative thermal time required for maize to complete its lifecycle.

Conclusion

This study has successfully quantified the relationship between thermal indices and maize phenology, highlighting the significant influence of temperature on the growth and development of maize. The analysis demonstrated that thermal indices such as Growing Degree Days (GDD) and Crop Heat Units (CHU) are robust predictors of key phenological stages, including emergence, tasseling, silking, and physiological maturity. The strong correlations and predictive models developed in this study provide valuable insights for optimizing crop management practices. By using these thermal indices, farmers and agronomists can better predict the timing of critical growth stages, allowing for more precise planning of planting dates, irrigation, and fertilization schedules. This can lead to improved crop yields, resource efficiency, and overall agricultural productivity. Moreover, the practical applications of these findings extend to the development of decision support systems for precision agriculture. Integrating GDD and CHU into these systems can enhance real-time decisionmaking, helping farmers adapt to varying climatic conditions and mitigate risks associated with temperature fluctuations. Future research should aim to refine these predictive models under diverse climatic conditions and explore the impact of additional environmental factors on maize phenology. Expanding the study to different maize hybrids and geographical regions would further validate the generalizability of the results. In conclusion, this study underscores the critical role of thermal conditions in maize development and provides practical tools for enhancing agricultural planning and decision-making. By leveraging the predictive power of thermal indices, the agricultural sector can achieve greater sustainability and resilience in maize production.

Figures and tables from the paper

Table 1. Observed Dates for Phenological Stages at ARDC and Corn Belt Farms
LocationHybridEmergenceTasselingSilkingPhysiological Maturity
ARDCPioneer P0987AMMay 20July 15July 20September 30
ARDCDekalb DKC62-08May 22July 18July 23October 2
ARDCSyngenta NK8920May 24July 20July 25October 4
Corn Belt FarmsPioneer P0987AMMay 18July 13July 18September 28
Corn Belt FarmsDekalb DKC62-08May 21July 17July 22October 1
Corn Belt FarmsSyngenta NK8920May 23July 19July 24October 3

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Observed Dates for Phenological Stages at ARDC and Corn Belt Farms↗ Enlarge
Table 1
Observed Dates for Phenological Stages at ARDC and Corn Belt Farms

Observed Dates for Phenological Stages at ARDC and Corn Belt Farms

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Original paper tableSource PDF · page 2 ↗
Table 2. Calculated Growing Degree Days (GDD) for Phenological Stages
LocationHybridEmergence GDDTasseling GDDSilking GDDPhysiological Maturity GDD
ARDCPioneer P0987AM1208209501700
ARDCDekalb DKC62-081308409701720
ARDCSyngenta NK89201408609901740
Corn Belt FarmsPioneer P0987AM1158109401680
Corn Belt FarmsDekalb DKC62-081258309601710
Corn Belt FarmsSyngenta NK89201358509801730

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Calculated Growing Degree Days (GDD) for Phenological Stages↗ Enlarge
Table 2
Calculated Growing Degree Days (GDD) for Phenological Stages

Calculated Growing Degree Days (GDD) for Phenological Stages

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Original paper tableSource PDF · page 2 ↗
Table 3. Calculated Heat Units (HU) for Phenological Stages
LocationHybridEmergence HUTasseling HUSilking HUPhysiological Maturity HU
ARDCPioneer P0987AM1006808001400
ARDCDekalb DKC62-081107008201420
ARDCSyngenta NK89201207208401440
Corn Belt FarmsPioneer P0987AM956707901380

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Calculated Heat Units (HU) for Phenological Stages↗ Enlarge
Table 3
Calculated Heat Units (HU) for Phenological Stages

Calculated Heat Units (HU) for Phenological Stages

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Original paper tableSource PDF · page 2 ↗
Table 4. Calculated Crop Heat Units (CHU) for Phenological Stages
Calculated Crop Heat Units (CHU) for Phenological Stages↗ Enlarge
Table 4
Calculated Crop Heat Units (CHU) for Phenological Stages

Calculated Crop Heat Units (CHU) for Phenological Stages

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Original paper figureSource PDF · page 3 ↗
Table 4. Calculated Crop Heat Units (CHU) for Phenological Stages
LocationHybridEmergence CHUTasseling CHUSilking CHUPhysiological Maturity CHU
ARDCPioneer P0987AM15094011002000
ARDCDekalb DKC62-0816096011202020
ARDCSyngenta NK892017098011402040
Corn Belt FarmsPioneer P0987AM14593010901980
Corn Belt FarmsDekalb DKC62-0815595011102010
Corn Belt FarmsSyngenta NK892016597011302030

Table text extracted from the original PDF; superscript letters are shown inline. The original table image is below.

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Calculated Crop Heat Units (CHU) for Phenological Stages↗ Enlarge
Table 4
Calculated Crop Heat Units (CHU) for Phenological Stages

Calculated Crop Heat Units (CHU) for Phenological Stages

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Original paper tableSource PDF · page 3 ↗

References

7 in the original paper
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  5. Cicchino M, Edreira JR, Otegui ME. Heat stress during late vegetative growth of maize: effects on phenology and assessment of optimum temperature. Crop science. 2010;50(4):1431-1437.
  6. Lizaso JI, Ruiz-Ramos M, Rodríguez L, Gabaldon-Leal C, Oliveira JA, Lorite IJ. Modeling the response of maize phenology, kernel set, and yield components to heat stress and heat shock with CSM-IXIM. Field Crops Research. 2017;214:239-254.
  7. Van Bussel LG, Stehfest E, Siebert S, Müller C, Ewert F. Simulation of the phenological development of wheat and maize at the global scale. Global Ecology and Biogeography. 2015;24(9):1018-1029.