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Prediction model and inventory estimation of CO2 and NOx emissions from tractors based on Beidou trajectory big data
Transactions of the Chinese Society of Agricultural Engineering 2026, 42(8): 47-56
Published: 30 April 2026
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Agricultural machinery is one of the most significant sources of non-road mobile emissions in recent years. Yet accurate estimation of its carbon and pollutant emissions is often hindered by the fuel consumption data and localized emission factors. In this study, a prediction framework was developed for tractor fuel consumption, CO2, and NOx emissions from tractors. Massive BeiDou trajectory data were also integrated with portable emission measurement system (PEMS) measurements and the national operational emission inventory. 1) The samples were incorporated with complete fields from the BeiDou trajectory data and multidimensional features, such as the tractor speed, direction, engine speed, and torque. A feature set was constructed to predict the fuel consumption. A feature engineering process was conducted on the dataset of trajectory samples with complete fields from the 2023 summer harvest. The trajectories were segmented into kinematic fragments with a time step of 100s. A Residual Deep Neural Network (ResDNN) model with a 21-layer structure was employed to predict fuel consumption, with an R2 of 0.75 and a MAPE of 24.46%. Fuel consumption features were further constructed for the missing feature fields, according to the operational duration and distance. Various algorithms of machine learning were used for the predictive models. Light Gradient Boosting Machine (LightGBM) model performed best (R2=0.77, MAPE=39.28%). 2) Localized emission models were established. PEMS tests were then conducted on four typical China IV standard tractors with the rated powers of 51.5, 58.8, 88.2, and 177 kW under varying engine loads. According to the experimental data, machine learning algorithms (ridge regression, random forest, decision tree, SVM, and LightGBM) were compared to construct emission prediction models using multi-dimensional input features. The evaluation results indicated that the ResDNN model achieved the best performance for fuel consumption prediction with the features (R2=0.75, and MAPE=24.46%), effectively resolving the gradient degradation in deep networks. In the simplified feature set, the LightGBM model performed optimally (R2=0.77, and MAPE=39.28%). Support Vector Machine was identified as the optimal model for CO2 emissions (R2=0.95, MAPE=5.98%) prediction, while LightGBM performed best for NOx emissions (R2=0.86, MAPE=13.78%). Importance analysis revealed that instantaneous fuel consumption and engine speed were the most critical determinants for CO2 emission, whereas environmental parameters shared a higher contribution to NOx prediction. Finally, these models were applied to the trajectory data of 870,192 tractors equipped with BeiDou terminals during the 2023 summer harvest (May 25 to June 25). A high-resolution national emission inventory was estimated after application. The total fuel consumption was 47.01×106 L, thus generating 128.21×103t of CO2 and 281.9t of NOx. The average daily emissions per tractor were 147.33 kg for CO2 and 0.32 kg for NOx. Spatially, the emissions were concentrated in major agricultural provinces, such as Jiangsu, Henan, and Heilongjiang. Temporally, the emission peaks coincided perfectly with the busy farming rhythm. This finding can provide support data for carbon and pollutant emissions from large-scale agricultural machinery in green agriculture.

Issue
Minimum-jerk velocity planning and control for CVT tractorvelocity regulation
Transactions of the Chinese Society of Agricultural Engineering 2023, 39(20): 28-35
Published: 30 October 2023
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The target velocity jump has caused the low-velocity stability and fuel economy in the whole process of autonomous agricultural machinery operation. In this study, optimal velocity planning was proposed for the field operation of agricultural machinery in the constantly variable transmission (CVT) tractor. The global and local planning objectives and constraints were collected from the autonomous agricultural machinery. The minimum-jerk polynomial velocity planning was then designed using the Bellman optimality principle and optimal control theory. The velocity-following control system was also developed to realize the stable velocity cruise of autonomous agricultural machinery in the field. The velocity planning was modelled as multi-stage decision-making, according to the time series. The optimal decision was achieved in the jerk optimal control at each stage to realize the state transition. Bellman optimality principle and optimal control theory were selected to design the minimum-jerk polynomial velocity planning. The minimum jerk cost function was subject to hard constraints, such as the maximum and minimum velocity, acceleration, and jerk. The soft constraints were utilized to realize the driving task in the shortest possible time. Numerical solutions were used to reduce the difficulty of the model. Polynomial piecework fitting was generated to fully meet the smooth and continuous optimal speed reference curve under the hard constraints. The performance of the control system was significantly improved to prevent the velocity jump and varying conditions. The velocity stability and fuel economy were realized in the CVT tractor. The feasible solution space was obtained in the numerical solution. The end states of tractor motion were taken to heuristically search for the optimal solution under hard and soft constraints. The numerical solution was obtained after sampling. The unexecuted portion of the previous cycle’s solution in each planning cycle was utilized to achieve the time consistency of the unmanned tractor. The executive layer controller of the unmanned tractor usually tracked the reference curve generated by the planning algorithm with high accuracy and responsiveness. However, the replanning was performed to discard the remaining part of the previous solution, when the motion state deviated significantly from the target trajectory under external disturbances. The U-turn field experiment showed that the mean absolute error (MAE) and the root mean square error (RMSE) of speed decreased by 42.31%, and 50.75%, respectively, compared with the control group. The average absolute value and the variance of acceleration decreased by 8.26%, and 16.36%, respectively, while their jerk decreased by 7.65% and 14.23%, respectively. The variance of engine speed, torque percentage, instantaneous fuel consumption, and total fuel consumption decreased by 63.36%, 60.26%, 71.25%, and 2.37%, respectively. The straight-line navigation velocity adjustment experiment showed a similar optimization trend. The MAE and the RMSE of speed decreased by 9.45%, and 11.14%, while the average absolute value and variance of acceleration decreased by 6.03% and 13.68%, respectively. The average absolute value and variance of jerk decreased by 1.55% and 3.59%, respectively. The variance of engine speed decreased by 31.78%, the variance of engine torque percentage decreased by 25.13%, and the variance of instantaneous fuel consumption decreased by 31.82%. The total fuel consumption decreased by 2.48%. The stability of speed regulation was significantly improved to reduce fuel consumption during operation. The smooth control of velocity switching can fully meet the requirement for autonomous CVT tractors.

Issue
Frustum-based camera-radar fusion for 3D object detection in agricultural scenes
Transactions of the Chinese Society of Agricultural Engineering 2026, 42(4): 24-32
Published: 28 February 2026
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A perception system is one of the most important components for the autonomous driving of agricultural machinery. However, there are only a few perception datasets specifically designed for agricultural scenarios, due to their difference from the typical urban scenarios in previous studies. In contrast to the urban examples, the agricultural applications can suffer from harsh working circumstances. It is often required for the perception sensors and algorithms. In this study, a low-cost perception system was proposed for the two-stage detection using millimeter-wave radar and a monocular camera. 3D object detection was then performed on the autonomous driving of the agricultural machinery under agricultural scenarios. Firstly, a multimodal perception dataset of the agricultural scenes was constructed to incorporate the LiDAR (light detection and ranging), INS (inertial navigation system), camera, and millimeter-wave radar data with a hardware-level data synchronization and target-level data annotation. Then the middle fusion strategy was used to build a neural network model, known as CFPNet. Preliminary detection of the target was also implemented with the improved network of the center point detection. Furthermore, the radar point cloud features were extracted from the frustum region of interest to supplement the image features. Finally, the preliminary detection information and radar feature were combined to perform a secondary detection. The 3D object attributes (depth, direction, and velocity) were regressed concurrently. The results show that the mAP (mean average precision) of the CFPNet on the self-built multimodal dataset of the agricultural perception was 86.5%, which was 5.5 percentage points higher than the baseline, and the mATE (mean average translation error) was 0.197 m lower than the baseline. An additional experiment on small object detection was conducted to verify the effectiveness of the CFPNet. The better performance was achieved in a recall rate of 1 for the selected small objects, which was 0.3 higher than before the improvement, indicating the better performance of the detection. Deployment experiments were conducted to test the applicability of the CFPNet. A frame rate of 7.4 frames per second was 211% of the baseline in the low-computing agricultural scenarios. Experiments on the public datasets were conducted to test the CFPNet in the rest scenarios. The favorable performance was achieved on the NuScenes public dataset, with the mATE, mASE, and mAVE of 0.792 m, 0.236, and 0.52 m/s, respectively. Since the CFPNet was specifically designed for monocular cameras, its mAP lagged behind. Furthermore, the CFPNet can directly provide the speed information of the target without the preceding and following frames. This finding can provide a feasible solution and technical support for the 3D object detection in agricultural scenarios, especially with low computing power.

Issue
Calculation of the harvested acreage for wheat harvesters based on spatiotemporal trajectories and grid key points
Transactions of the Chinese Society of Agricultural Engineering 2025, 41(11): 35-40
Published: 15 June 2025
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Agricultural machinery has been closely related to national food security during farming, sowing, and harvesting. The field harvested acreage of agricultural machinery can be required to accurately calculate the subsidy distribution, fee collection, efficiency, and income evaluation. It is also an urgent need for a precise and effective harvested acreage. This study aims to calculate the harvested acreage of wheat harvesters using spatiotemporal trajectories and grid key points. The calculation was also considered on the positional relationship between boundary grid key points and trajectory vector rectangles. The mathematical expectation of various occupancy scenarios was then proposed to effectively remove the overlapping areas for high accuracy. A grid key point algorithm was introduced to fully analyze the boundary grids, in response to the failure of the grid buffer zone. Probable situations were then determined at the boundary grids, according to the positional relationship between grid vertices and center points with vector rectangles. Mathematical expectation values were computed for each scenario during area calculation. The trajectory data of combined harvesters was obtained in the period of wheat harvest from the National Agricultural Machinery Big Data Platform. Among them, the parameters also included the latitude and longitude of the field, time, vehicle ID, speed, and direction. The trajectory data was selected as the meter-level positioning and the sampling frequency of 0.2 Hz. Data cleaning and segmentation were performed on the fields and roads. The test dataset of trajectory was captured from 50 farmland plots in the major wheat-producing regions (Hebei, Henan, and Shandong) for the years 2022 and 2023. A sensitivity analysis was conducted on the length of the bottom grid edge. Ultimately, the length of the bottom grid edge was determined to be one meter for both the grid buffer zone and the grid key point. A better balance was also obtained to consider the accuracy of area calculation and the speed of the algorithm. Three approaches (distance swath, grid buffer zone, and grid key point) were utilized to evaluate the operational width of the selected combine harvesters and the calculated area of the 50 farmland plots. The average error of calculation was then compared with the true values. Results showed that the grid key point shared an experimental average error of 2.66%, which was 69.45 and 1.25 percentage points lower than the distance swath and the grid buffer zone, respectively. The grid key point also solved the overlapping operation areas in farmlands. The higher accuracy of calculation was then achieved, compared with similar algorithms. Additionally, the versatility of the improved model was achieved by only requiringthe trajectory data and working width during rice harvesting, corn harvesting, or wheat sowing. In conclusion, the accuracy of calculation was effectively improved for the harvested acreage. The finding can also provide a strong reference for the subsidies, cost control, and budget planning in the assessment of agricultural production.

Issue
Research progress on autonomous agricultural machinery technology and automatic parking methods in China
Transactions of the Chinese Society of Agricultural Engineering 2025, 41(10): 15-27
Published: 30 May 2025
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Autonomous agricultural machinery has been emerged as one of the core strategies in recent years. It is ever pressing from the aging population, shrinking agricultural workforce, large-scale rural migration, and agricultural labor costs in China. Autonomous agricultural machinery can be expected to alleviate the labor shortages for the high efficiency and precision. Fully functional unmanned farm can also enhance the agricultural productivity and sustainability. In this study, a comprehensive review was presented on the technical requirements of autonomous agricultural machinery. An emphasis was also put on the key research advancements in China, including the environmental perception, high-precision agricultural mapping, autonomous positioning and navigation, path planning, and tracking control. One of the hallmark features of unmanned farms was attributed to the seamless and fully automated transfer of machinery among storage facilities and fields. Specifically, the autonomous machinery was automatically departed from its designated storage location, thus navigating the roads to perform field operations, and finally returning to park precisely at its original position in the shed after task completion. As such, the autonomous machinery was used in fields, farm roads, and agricultural sheds, indicating the great potential to farming. Nevertheless, the unmanned farm system was remained underdeveloped within the storage shed. Machinery parking, implement attachment, and departure still heavily depended on the manual intervention. Full automation over all scenarios was required the advanced positioning and navigation. Precise perception to shed environment was also necessary for the safety and efficiency during operations. Storage sheds were often densely populated with machinery, rather than the open and relatively predictable environments of fields and farm roads. The maneuvering space was limited to the more rapid and accurate perception and navigation, compared with the open fields. While the significant progress was found in the autonomous machinery under the scenarios of fields and road. The perception and autonomous parking technologies were less developed for shed operations so far. These challenges were also addressed to bridge the automation gap, and then unlock the full potential of unmanned farms. Much effort was focused mainly on the automatic parking of autonomous agricultural machinery, particularly on returning to the shed after field operations. Indoor positioning and precise navigation were also explored with the perception during automatic parking. Some procedures were involved in the indoor navigation from the shed entrance to the parking spot without Global Navigation Satellite System (GNSS) signals. The safe and efficient routes were determined for the final docking after environmental perception and machinery position. The fixed- and non-fixed routes were categorized for the positioning and navigation. Fixed-route navigation offered the simplicity, precision and stability, including the visual navigation (lane tracking and visual marker localization), rail guidance, and magnetic navigation. Safe zones of shed were also delineated to enhance the accuracy of position and parking. In contrast, the non-fixed-route navigation was provided for the superior flexibility, scalability, and adaptability to the complex and dynamic indoor environments, such as the external source-based positioning (e.g., radio frequency identification, WiFi, bluetooth, and ultra-wideband) and simultaneous localization and mapping (SLAM). Finally, the technical and practical challenges were summarized for the autonomous agricultural machinery. Specifically, the diverse technologies were integrated for the dynamic environments, particularly for the robust safety mechanisms. Future directions were outlined to integrate the multiple technologies for all-weather operation in the complex environments. Autonomous agricultural machinery can be expected to serve as the critical technology in unmanned farming. In turn, the operational quality and efficiency can also be enhanced in the modern agriculture.

Open Access Issue
Estimating the total number of active wheat harvesters using big data of GNSS trajectories in China
International Journal of Agricultural and Biological Engineering 2025, 18(4): 195-199
Published: 31 August 2025
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China plants approximately 20.3 million hm2 of winter wheat annually. During the recent one-month harvesting period, hundreds of thousands of combine harvesters participated in wheat harvesting from south to north. However, the total number of active harvesters remains a challenge, restricting government policy-making and industry analysis. This study proposed a nonparametric bootstrap estimation model based on big data to dynamically infer the total number of active agricultural machines by analyzing the spatio-temporal trajectories of harvesters. Through Monte Carlo simulation experiments, the performance of four nonparametric bootstrap methods was systematically evaluated from dimensions such as bias, mean squared error, and coverage probability. The results show that the bias-corrected and accelerated bootstrap method (BCa) performs best and was selected as the 95% confidence interval estimation method. The 95% confidence intervals for the total number of active harvesters in 2021, 2022, and 2023 are [447 223, 456 387], [441 708, 447 625], and [436 873, 440 608], respectively, providing a quantitative basis for regulatory supervision and capacity planning in the agricultural machinery industry.

Issue
Feedforward stabilized speed control of driverless tractor based on DEM
Transactions of the Chinese Society of Agricultural Engineering 2024, 40(10): 24-31
Published: 30 May 2024
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Dynamic speed can often cause the fluctuations of unmanned agricultural machines in farmland slopes. Agricultural operations can be significantly impacted, such as seeding and fertilizer application. The stability of planting and the precision of fertilizer application can depend mainly on the driving speed of driverless tractors in undulating farmland. Particularly, the absence of visual cues from the driver can lead to inevitable pre-control of the throttle when tractors operating. In this study, the robust control system of steady speed was proposed using the Digital Elevation Model (DEM). An advanced feed-forward control was also utilized at the longitudinal slopes. A systematic investigation was then made to assess the influence of farmland slope on the tractor speed. The occurrence of slope acceleration was induced by gravity during both uphill and downhill maneuvers in the tractor driving. The new control of the tractor was also used to predict the terrain slope ahead. Consequently, the speed of the tractor was adjusted for the target speed, as the terrain slope increased. An extended duration was avoided to reach the preset velocity. Alternatively, the speed readily surpassed the target speed on the decreasing slopes, resulting in frequent braking and adverse effects on the dynamics of vehicles. DEM data was utilized to extract elevation information from the terrain. The longitudinal slope feed-forward control was also introduced to dynamically obtain the pre-scanning distance. The pre-scanning time was configured to integrate with the current driving speed. At the same time, the slope value of the subsequent driving path was calculated to determine the compensation of speed on the slope. Ultimately, effective control of the tractor's speed was achieved to adjust the target speed in real time. The optimal performance and stability were obtained across diverse terrain gradients. DF1204 CVT tractor was taken as a test platform. Three tests were conducted with different target speeds for uphill, flat, and downhill at the Yantai Research Institute of China Agricultural University. The test results showed that when the tractor was traveling at the target speeds of 4, 6, and 8 km/h, the mean values of the measured speeds were 4.03, 5.94, and 7.85 km/h for uphill driving, 4.04, 6.02, and 8.03 km/h for level driving, and 4.00, 6.10, and 8.19 km/h for downhill driving, respectively. The speeds closely approached the target values, indicating the efficacy of the control system to regulate the tractor speeds. The speed accuracy was also improved with the mean speeds of the experimental group notably closer to the target speeds for both uphill and downhill driving scenarios. Moreover, the root mean square errors (RMSE) were reduced under all driving conditions, with decreases of 46.63%, 21.92%, and 37.15% for uphill, level ground, and downhill driving, respectively, compared with the control group. The speed stability was enhanced to reduce the speed fluctuations, thereby improving the overall tractor performance and operational efficiency in agricultural settings. The feedforward control of longitudinal gradient speed also surpassed the original, in terms of the speed stability and path tracking. The steady speeds with high precision were maintained in the autonomous agricultural machinery under undulating farmland environments. The tractor efficiency was then promoted to reduce the operational fluctuations in practical agricultural operations. The optimal speeds can be used to realize smoother and more productive farming in the various tasks of streamlining, such as planting and fertilization. Moreover, the operational disruptions can be minimized to maintain high-performance standards. The finding can greatly contribute to the overall quality and reliability of agricultural machine operations. Technical support can also be offered to improve agricultural productivity and sustainability in sustainable production.

Issue
Local path planning for autonomous agricultural machinery on farm road
Transactions of the Chinese Society of Agricultural Engineering 2024, 40(1): 27-36
Published: 15 January 2023
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Path planning of agricultural machinery is currently focused on static obstacle avoidance infield operation scenarios. The driving environment of the tractor is characterized by semi-structured roads with a width of 3-6 m. The tractor roads are relatively complex without identification lines. Many types of dynamic and static obstacles can be found, including the agricultural machinery temporarily parked on both sides of the road, various agricultural machinery, or other traffic participants traveling in the same or opposite direction, even crossing the tractor road. Large-scale agricultural machinery cannot perform the complex trajectory movements in the narrow and long path. It is highly required for the smoothness of the planned trajectory. At the same time, the speed planning is needed to avoid the dynamic obstacles. In this study, local path planning was proposed using quadratic programming, in order to fully meet the practical needs of safety, smoothness, and real-time planning of autonomous agricultural machinery in the scenario of tractor roads. Firstly, a finite state machine was used to define the driving mode of agricultural machinery for the obstacle categories. Secondly, a horizontal and vertical decoupling was adopted to reduce the redundancy for better timeliness. The behavior decision-making of trajectory and velocity was also designed using an improved dynamic state grid method. Thirdly, the planning starting point was designed with a control preview point to combine the planning and control systems. The discontinuity of the cycle trajectory was then effectively solved during planning. Finally, quadratic programming was used to optimize the sampling path. All planned trajectories, trajectory curvature, and velocities fully met the dynamic constraints. A penalty function of safety distance was introduced to solve the constraints exceeding the feasibility of a quadratic programming solution. That was the domain's upper limit. A series of vehicle tests were conducted in various driving environments, with a reference speed of 2 m/s. The results show that in the scenario of bypassing static obstacles, the average and maximum absolute curvature of the planned trajectory were 0.021, and 0.056 m−1, respectively, while the average and maximum absolute lateral error were 3.23, and 8.69 cm, respectively, and the distance from the agricultural machinery to the outer contour of the obstacle was greater than 0.76 m. Furthermore, the average and absolute error of planning speed were 0.08-0.12 m/s, and less than 0.38 m/s, respectively, while the acceleration variation range was -0.38-0.44 m/s, in order to avoid the dynamic obstacles, such as driving in the opposite or same direction, or crossing tractor tracks. Therefore, there was the average and maximum time of 48, and 75 ms, respectively, after simulation with the planning period of 200 ms. The average time was reduced by 38 ms, whereas, the efficiency was improved by 44%, compared with the static state grid method. The findings can also provide technical support to the local path planning of agricultural machinery in the scenario of machine plowing roads.

Open Access Issue
Accurate crop row recognition of maize at the seedling stage using lightweight network
International Journal of Agricultural and Biological Engineering 2024, 17(1): 189-198
Published: 29 February 2024
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Accurate extraction of crop row is very important for automation of agricultural production. Crop rows are required for accurate machine guidance in agricultural production such as fertilization, plant protection, weeding and harvesting. In this study, an efficient crop row detection algorithm called Crop-BiSeNet V2 was proposed, which combined BiSeNet V2 with a spatial convolutional neural network. The proposed Crop-BiSeNet V2 detected crop rows in color images without the use of threshold and other pre-information such as number of rows. A data set had 2697 maize crop images was constructed in challenging field trial conditions such as variable light, shadows, presence of weeds, and irregular crop shape. The proposed system was experimentally determined to overcome the interference of different complex scenes. And it can be applied to crop rows of different numbers, straight lines and curves. Different analyses were performed to check the robustness of the algorithm. Comparing this algorithm with the Fully Convolutional Networks (FCN) algorithm, it exhibited superior performance and saved 84.85 ms. The accuracy rate reached 0.9811, and the detection speed reached 65.54 ms/frame. The Crop-BiSeNet V2 algorithm proposed in this study show strong generalization performance for seedling crop row recognition. It provides high-reliability technical support for crop row detection research and assists in the study of intelligent field operation machinery navigation.

Open Access Issue
Feature deformation network with multi-range feature enhancement for agricultural machinery operation mode identification
International Journal of Agricultural and Biological Engineering 2024, 17(4): 265-275
Published: 31 August 2024
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Utilizing the spatiotemporal features contained in extensive trajectory data for identifying operation modes of agricultural machinery is an important basis task for subsequent agricultural machinery trajectory research. In the present study, to effectively identify agricultural machinery operation mode, a feature deformation network with multi-range feature enhancement was proposed. First, a multi-range feature enhancement module was developed to fully explore the feature distribution of agricultural machinery trajectory data. Second, to further enrich the representation of trajectories, a feature deformation module was proposed that can map trajectory points to high-dimensional space to form feature maps. Then, EfficientNet-B0 was used to extract features of different scales and depths from the feature map, select features highly relevant to the results, and finally accurately predict the mode of each trajectory point. To validate the effectiveness of the proposed method, experiments were conducted to compare the results with those of other methods on a dataset of real agricultural trajectories. On the corn and wheat harvester trajectory datasets, the model achieved accuracies of 96.88% and 96.68%, as well as F1 scores of 93.54% and 94.19%, exhibiting improvements of 8.35% and 9.08% in accuracy and 20.99% and 20.04% in F1 score compared with the current state-of-the-art method.

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