PECAS model-based harbor space economy interaction prediction system and method

By constructing a multi-module coupled architecture based on the PECAS model, and combining intelligent optimization algorithms and distributed collaborative technology, the problems of poor coupling and insufficient dynamic adaptability in the spatial economic interaction forecasting of port cities are solved, realizing high-precision and real-time spatial economic interaction forecasting of port cities and supporting the coordinated development of port cities.

CN121707059APending Publication Date: 2026-03-20WUCHUANG TIANHENG INTELLIGENT PORT TECHNOLOGY (WUHAN) CO LTD
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Patent Information

Application Number
CN202511903490.0
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-12-17
Publication Date
2026-03-20

AI Technical Summary

Technical Problem

Existing methods for predicting the spatial economic interaction of port cities suffer from limitations in prediction accuracy and applicability due to their simplistic models, poor coupling, insufficient dynamic adaptability, incomplete spatial optimization, unreasonable traffic allocation, and lack of efficiency and privacy protection in collaborative prediction.

Method used

A multi-module coupled architecture based on the PECAS model is constructed, combining intelligent optimization algorithms and distributed collaborative technology, including macroeconomic forecasting, spatial development, spatial allocation of socio-economic activities, and transportation modules. Through improved S-curve modeling, quantum annealing algorithm, deep reinforcement learning, and graph neural network, dynamic parameter adjustment and multi-node collaborative forecasting are achieved.

Benefits of technology

It realizes four-dimensional spatiotemporal coupling analysis of port economic activities and urban development, improves prediction accuracy and real-time performance, provides scientific decision support, and solves the applicability problem of traditional prediction methods in port city environments.

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Abstract

The invention provides a port city space economy interactive prediction system and method based on a PECAS model, and the system comprises a macroeconomic prediction module which is used for receiving regional social economic historical data, and outputting the total regional social economic activity amount and the predicted value of the number of urban and rural families; the space development module is used for receiving land utilization related data and outputting land utilization conversion probability and development intensity; the social economic activity space distribution module is used for receiving data output by the preorder module and outputting a multi-level exchange flow space distribution result; the traffic module is used for receiving the traffic network data and the space distribution result and outputting a freight demand road network distribution result; and the edge computing integration module is used for integrating edge computing nodes, supporting distributed deployment and realizing multi-node collaborative prediction. According to the invention, the input-output economic model is deeply fused with the space rental competition theory and the random utility maximization theory, so that the PECAS intelligent prediction system suitable for the special environment of the harbor and the city is constructed, and the coupling analysis of the harbor economic activity and the city rental is realized.
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Description

Technical Field

[0001] This invention relates to the field of economic interaction forecasting, and in particular to a port city spatial economic interaction forecasting system and method based on the PECAS model. Background Technology

[0002] As the core carrier of regional economic development, the spatial layout and economic activities of port cities directly affect the quality of regional development. Accurately predicting the spatial-economic interaction of port cities is of great significance for planning, resource allocation and policy optimization.

[0003] In existing technologies, port city spatial economic interaction forecasting often relies on single-dimensional models or traditional statistical methods, failing to fully consider the coupling relationship between ports and cities in terms of economic output, spatial development, social activities, and transportation networks. In terms of macroeconomic forecasting, traditional models struggle to dynamically adapt to the volatility and interconnectedness of port economies, and parameter adjustments lack adaptive capabilities, resulting in limited forecast accuracy. In spatial development forecasting, traditional spatial bidding models fail to effectively integrate multi-dimensional spatial attributes and planning constraints, optimization algorithms are prone to getting trapped in local optima, and the development process lacks a transparent traceability mechanism. The allocation of spatial resources for socioeconomic activities often employs static weights or single allocation models, which cannot respond in real time to the dynamic changes in market prices and traffic conditions, making it difficult to achieve accurate allocation of multi-level exchange flows.

[0004] In traffic demand allocation, the construction of traffic network topology is mostly static, failing to capture the dynamic correlation between port and urban traffic. The impedance function design fails to fully integrate port operation characteristics, resulting in insufficient rationality of freight allocation. At the same time, existing forecasting systems mostly adopt centralized deployment, which is difficult to adapt to the data dispersion characteristics of multiple nodes in ports, yards, and cities, and lacks effective privacy protection mechanisms, which restricts the efficiency and security of collaborative forecasting. Summary of the Invention

[0005] The main objective of this invention is to provide a port city spatial economic interaction prediction system and method based on the PECAS model. By constructing a multi-module coupled PECAS model prediction architecture and combining various intelligent optimization algorithms and distributed collaborative technologies, it solves the problems of single model, poor coupling, insufficient dynamic adaptability, incomplete spatial optimization, unreasonable traffic allocation, and lack of collaborative prediction efficiency and privacy protection in existing port city spatial economic interaction prediction.

[0006] To solve the above-mentioned technical problems, the technical solution adopted by the present invention is: a port city spatial economic interaction prediction system based on the PECAS model, comprising: The macroeconomic forecasting module is used to receive historical regional socioeconomic data and output forecasts of total regional socioeconomic activity and the number of urban and rural households. The spatial development module is used to receive land use-related data and output land use conversion probability and development intensity. The socio-economic activity space allocation module is used to receive the output data from the preceding module and output the multi-level exchange flow space allocation results. The transportation module is used to receive traffic network data and spatial allocation results, and output the road network allocation results for freight demand. The edge computing integration module is used to integrate edge computing nodes, support distributed deployment, and enable multi-node collaborative prediction.

[0007] In the preferred scheme, the macroeconomic forecasting module achieves adaptive adjustment of forecasting parameters through data preprocessing, improved S-curve modeling, triple exponential smoothing, and LSTM neural network parameter optimization.

[0008] In the preferred scheme, the space development module solves for the optimal space development state and outputs the development probability through space state characterization, quantum annealing optimization, blockchain notarization, and smart contract simulation.

[0009] In the preferred scheme, the socio-economic activity spatial allocation module outputs multi-dimensional spatiotemporal distribution results by defining multi-level exchange flows, calculating dynamic weights, optimizing nested logit models, and performing parallel computing.

[0010] In the preferred scheme, the transportation module constructs the transportation network topology, builds an adaptive generalized impedance function, and improves the gradient projection algorithm to solve the freight allocation model.

[0011] In the preferred embodiment, the edge computing integration module achieves data synchronization and model parameter sharing between edge nodes and the central server by deploying edge computing nodes and distributed collaborative prediction.

[0012] A method for predicting the spatial economic interaction of port cities based on the PECAS model, the method includes: S1. Receive regional socio-economic historical data, combine the improved S-curve method, triple exponential smoothing method and LSTM neural network, dynamically adjust the model parameters, and predict the total amount of regional socio-economic activities and the number of urban and rural households. S2. Receive land use data, introduce quantum annealing algorithm to optimize the space bidding process, combine blockchain and smart contract developer behavior simulation, and output land use conversion probability and space development intensity; S3. Based on the prediction results of step S1 and the spatial development model of step S2, a nested logit model optimized by deep reinforcement learning is adopted, and combined with the dynamic weights of real-time exchange price and traffic disutility, the multi-level exchange flow is allocated to specific spatial units. S4. Based on the spatial allocation results of step S3, a comprehensive transportation network topology is constructed using a graph neural network, and freight demand is intelligently allocated to the comprehensive road network through an adaptive generalized impedance function. S5. Deploy some of the computational tasks from steps S1 to S4 to edge computing nodes. The central server is responsible for global model training and parameter aggregation. The federated learning algorithm is used to aggregate the model updates of each edge node to achieve collaborative optimization of the global model and fusion of prediction results from multiple nodes.

[0013] In the preferred embodiment, the implementation steps of the improved S-curve method in step S1 include: S11. Collect historical data on regional GDP, population, and port throughput. Clean the data by removing outliers and filling in missing values. Normalize the data using the min-max standardization method. Extract port economic correlation characteristics, time trend characteristics, and seasonal fluctuation characteristics. S12. Construct an improved S-curve model incorporating port economic drivers. The model expression is as follows: ; Where G(t) is the predicted total economic output at time t, K is the upper limit of environmental carrying capacity, A and r are the parameters of the conventional S-curve, B is the port impact factor, and P(t) is the predicted port throughput at time t. S13. A parameter optimization objective function is constructed using the Bayesian optimization algorithm. The goal is to minimize the fitting error of historical data. The prior distributions of parameters K, A, r, and B are initialized. The posterior distributions of the parameters are estimated using a Gaussian process regression model. The parameter values ​​are iteratively updated until the objective function converges. S14. Perform triple exponential smoothing on historical data, calculate the correction coefficients for the trend and seasonal terms, fuse the prediction residuals of the improved S-curve model with the triple exponential smoothing results, and input them into the LSTM neural network. S15. Construct an LSTM neural network containing an input layer, hidden layers, and an output layer. The hidden layer adopts a bidirectional LSTM structure. The network weights are optimized by an adaptive learning rate adjustment algorithm. The mean square error between the predicted value and the actual value is used as the loss function. The network is trained until the loss function converges. The optimized model parameters are output to complete the macroeconomic aggregate prediction.

[0014] In the preferred scheme, the implementation steps of the quantum annealing algorithm in step S2 to optimize the space bidding process include: S21. Discretize the study area into several grid units according to the preset grid precision, and assign attribute parameters such as land use type, benchmark land price, transportation accessibility, and port influence distance to each grid unit; S22. Define the composite energy function, expressed as: ; in, It is a spatial state vector. For the development revenue of plot i, For the bidding cost of plot i, For the planning constraint penalty term of plot i, This is the penalty coefficient; S23. Encode the attribute parameters of each grid cell into qubit states, construct the initial state space of quantum annealing, and set the initial temperature parameter and the threshold for the number of iterations; S24. Adjust the temperature parameters according to the adaptive temperature decay strategy, realize the state transition through quantum tunneling effect at each temperature, calculate the energy difference before and after the transition, and determine whether to accept the new state according to the Metropolis criterion. S25. Record the energy value and spatial configuration of each state during the iteration process. Stop the annealing process when the temperature drops to the minimum threshold or the energy value does not change after a preset number of iterations. S26. Extract the state combination with the lowest energy as the optimal space development mode, package the space development state transformation process and key parameters into blocks and store them on the blockchain, deploy smart contracts to simulate the decision-making behavior of developers based on the optimal development mode, and output the land use conversion probability and space development intensity.

[0015] In the preferred embodiment, the implementation steps of the nested logit model optimized by deep reinforcement learning in step S3 include: S31. Define the intelligent agent as a spatial allocation decision-maker. The state space contains multi-dimensional feature vectors of the economic activity level, traffic operation status, and market price level of each region. The action space is the combination of allocation quantities of different types of economic activities in each region. The reward function is the comprehensive efficiency index of spatial allocation. S32. Calculate the real-time exchange price weight and the traffic disutility weight, using the following expression: ; in, Let be the real-time price index at time t. This is the historical average price index. Let t be the real-time traffic disutility index. The historical average traffic negative utility index; S33. Construct a nested logit model, dividing economic activity choices into two levels: region selection and location selection. The utility function incorporates real-time exchange price weights and transportation negative utility weights, expressed as: ; in, Let be the utility value of the i-th type of economic activity at location k in region j. For price-related utility components, For traffic-related utility components, This is the random error term; S34. A deep reinforcement learning network is constructed using the DuelingDQN algorithm. The network includes a value network and an advantage network, which estimate the state value and action advantage value, respectively. The interaction data between the agent and the environment is stored through an experience replay mechanism. S35. Train the network using the stochastic gradient descent algorithm, iteratively update the model parameters, and enable the agent to select the optimal spatial allocation action at each decision step. Optimize the hierarchical structure and utility function parameters of the nested logit model through long-term interactive learning, maximize long-term cumulative rewards, and output the spatial allocation results of the multi-level exchange flow.

[0016] In the preferred embodiment, the implementation steps of constructing the integrated transportation network topology and freight allocation based on graph neural networks in step S4 include: S41. Abstract road network nodes, port terminals, and logistics parks as graph nodes, and road segments and waterways as graph edges to construct an initial transportation network graph G=(V,E), where V is the set of nodes and E is the set of edges; S42. Construct a graph attention network, calculate the attention weights between nodes through a multi-head attention mechanism, capture the local and global features of nodes, and output the node embedding representation; S43. Construct an adaptive generalized impedance function, the expression of which is: ; in, Let be the generalized impedance of segment ij. For travel time, For travel expenses, For reliability coefficient, Waiting time for port operations These are weight parameters; S44. Embed the nodes output by the graph neural network into the feature input parameter optimization model, and adjust the weight parameters of the generalized impedance function through the gradient ascent algorithm so that the impedance function can reflect the dynamic characteristics of the traffic network. S45. Establish the optimal freight allocation model of the system, with the goal of minimizing the total impedance of the entire network. Considering the constraints of road segment capacity and freight flow conservation, the improved gradient projection algorithm is used to solve the model. S46. Iteratively calculate the freight flow distribution results for each road segment until the objective function converges, and output the distribution results of freight demand in the integrated road network.

[0017] In the preferred scheme, the implementation steps of distributed collaborative prediction in step S5 include: S51. Deploy the local data preprocessing and model inference tasks in macroeconomic forecasting, spatial development forecasting, spatial allocation of socio-economic activities, and traffic demand allocation to edge computing nodes in ports, storage yards, and key urban areas. S52. The central server initializes the global model parameters and distributes the initial parameters to each edge computing node; S53. Each edge computing node uses local data to train the model, calculates the gradient of the model parameters, and uses differential privacy technology to protect the privacy of the gradient data. S54. Each edge computing node uploads the processed gradient data to the central server. The central server uses a federated averaging algorithm to aggregate the gradient data of each node and update the global model parameters. S55. The central server distributes the updated global model parameters to each edge computing node, and each node synchronously updates its local model. S56. Repeat steps S53 to S55 until the prediction error of the global model reaches the preset threshold, then stop the iteration. Each edge computing node outputs its local prediction results, and the central server merges the prediction results of each node to output the final prediction result of the port city's spatial economic interaction.

[0018] This invention provides a port city spatial economic interaction prediction system and method based on the PECAS model. By deeply integrating the input-output economic model with spatial bidding theory and stochastic utility maximization theory, this invention constructs a PECAS intelligent prediction system adapted to the special environment of port cities, realizing four-dimensional spatiotemporal coupling analysis of port economic activities and urban development.

[0019] The system innovatively introduces the quantum annealing algorithm to optimize the spatial bidding process, and achieves millisecond-level land use analysis response based on the improved random utility maximization theory. It adopts a nested logit model optimized by deep reinforcement learning to intelligently allocate multi-level exchange flows according to the dynamic weights of real-time exchange prices and traffic negative utilities. It constructs a comprehensive transportation network topology based on graph neural networks and uses an adaptive generalized impedance function to realize the intelligent allocation of freight demand in the comprehensive road network.

[0020] Integrating edge computing nodes and supporting distributed deployment, this system enables collaborative forecasting across multiple nodes in ports, storage yards, and cities. It not only significantly improves forecasting accuracy and real-time performance but also provides scientific and precise decision support for the coordinated development of ports and cities, effectively addressing the applicability issues of traditional forecasting methods in port-city environments. Attached Figure Description

[0021] The present invention will be further described below with reference to the accompanying drawings and embodiments: Figure 1 This is a flowchart of the Port City Spatial Economic Interaction Prediction System of the present invention; Figure 2 This is a flowchart of the port city spatial economic interaction prediction method of the present invention; Figure 3 This is a screenshot of the analysis software page of the Port City Spatial Economic Interaction Prediction System of this invention; Figure 4 This is a diagram illustrating the spatial economic interaction prediction of port cities in this invention. Detailed Implementation

[0022] Example 1 like Figure 1-4 As shown, a port city spatial economic interaction prediction system based on the PECAS model includes: The macroeconomic forecasting module is used to receive historical regional socioeconomic data and output forecasts of total regional socioeconomic activity and the number of urban and rural households. The spatial development module is used to receive land use-related data and output land use conversion probability and development intensity. The socio-economic activity space allocation module is used to receive the output data from the preceding module and output the multi-level exchange flow space allocation results. The transportation module is used to receive traffic network data and spatial allocation results, and output the road network allocation results for freight demand. The edge computing integration module is used to integrate edge computing nodes, support distributed deployment, and enable multi-node collaborative prediction.

[0023] This port city spatial economic interactive prediction system based on the PECAS model constructs a complete prediction system through the coordinated operation of five major functional modules. The core working logic and technical implementation details of each module are as follows: The macroeconomic prediction module takes historical regional socioeconomic data as input, adopts an adaptive scenario prediction function and Bayesian optimization algorithm, and combines the improved S-curve method, triple exponential smoothing method and LSTM neural network for data processing and dynamic parameter adjustment to ensure that the output prediction values ​​of total regional socioeconomic activity and number of urban and rural households have high adaptability and accuracy; the spatial development module receives land use status data, planning data and other relevant information, and optimizes the spatial bidding process through quantum annealing algorithm.

[0024] Based on the improved theory of stochastic utility maximization, this module integrates spatial state representation, blockchain notarization, and smart contract simulation technologies to achieve scientific output of land use conversion probability and development intensity. The socio-economic activity spatial allocation module receives macroeconomic forecasts and spatial development data, and uses a nested logit model optimized by deep reinforcement learning. It combines real-time exchange prices and dynamic weight calculations of traffic negative utility, and efficiently outputs the spatial allocation results of multi-level exchange flows through parallel computing architecture and GPU acceleration technology. The transportation module takes traffic network topology data and spatial allocation results as input, uses graph neural networks to construct a comprehensive traffic network topology, and solves the freight allocation model using an adaptive generalized impedance function and an improved gradient projection algorithm.

[0025] The final output is the road network allocation result for freight demand; the edge computing integration module distributes the local data preprocessing, model inference and other tasks of each module to nodes in ports, yards and key urban areas by deploying edge computing nodes. It uses high-speed communication networks to realize data synchronization and model parameter sharing between edge nodes and the central server, and adopts a federated learning framework to complete multi-node collaborative prediction, ensuring data privacy and prediction efficiency.

[0026] First, the accuracy of prediction has been significantly improved. The macroeconomic prediction module integrates multiple intelligent algorithms and port economic driving factors, the spatial development module adopts a global optimization algorithm and a transparent traceability mechanism, and the transportation module constructs a dynamically adaptable network topology and impedance function. The technical synergy of each module ensures the accuracy of prediction across the entire chain from total economic output to freight allocation. Second, the dynamic adaptability is enhanced. The dynamic weight calculation and deep reinforcement learning optimization model of the socio-economic activity space allocation module can respond to changes in market prices and traffic conditions in real time, adapting to the volatility and correlation characteristics of the port city's economy. Third, it optimizes processing efficiency and deployment flexibility. The parallel computing architecture, GPU acceleration technology, and edge computing distributed deployment mode not only solve the problem of efficient processing of large-scale spatial data, but also adapt to the data dispersion characteristics of multiple nodes in ports, yards, and cities, improving the system's adaptability to actual application scenarios. Fourth, it ensures data security and collaboration. The application of federated learning framework and differential privacy technology effectively protects the local data privacy of each node while realizing multi-node data sharing and collaborative prediction, avoiding the risk of data leakage. Fifth, it has strong technical feasibility, with clear functional division of each module and well-defined technical means. In the preferred scheme, the macroeconomic forecasting module achieves adaptive adjustment of forecasting parameters through data preprocessing, improved S-curve modeling, triple exponential smoothing, and LSTM neural network parameter optimization.

[0027] The macroeconomic forecasting module includes a data preprocessing unit, an improved S-curve modeling unit, a triple exponential smoothing unit, and an LSTM neural network parameter optimization unit. The data preprocessing unit cleans, normalizes, and performs feature engineering on the input regional socioeconomic historical data. The improved S-curve modeling unit constructs an improved S-curve model incorporating port economic driving factors. The triple exponential smoothing unit performs triple exponential smoothing on historical data to obtain trend and seasonally adjusted sequences. The LSTM neural network parameter optimization unit takes the output of the improved S-curve and the output of the triple exponential smoothing as inputs and adaptively adjusts and optimizes the S-curve parameters and the smoothing coefficients of the triple exponential smoothing.

[0028] In the preferred scheme, the space development module solves for the optimal space development state and outputs the development probability through space state characterization, quantum annealing optimization, blockchain notarization, and smart contract simulation.

[0029] The spatial development module includes a spatial state representation unit, a quantum annealing optimization unit, a blockchain notarization unit, and a smart contract simulation unit. The spatial state representation unit encodes multi-dimensional spatial attributes such as current land use, transportation accessibility, and port influence range into the initial state vector of the quantum annealing algorithm. The quantum annealing optimization unit defines a composite energy function that includes spatial bidding costs, planning constraint penalties, and development benefits, and solves for the optimal spatial development state through the quantum annealing algorithm. The blockchain notarization unit records and notifies the transformation of spatial development states and key decision parameters through the blockchain. The smart contract simulation unit deploys smart contracts that simulate the decision-making behavior of developers. The contracts contain decision functions based on the theory of stochastic utility maximization and output development probabilities according to land attributes and market signals.

[0030] In the preferred scheme, the socio-economic activity spatial allocation module outputs multi-dimensional spatiotemporal distribution results by defining multi-level exchange flows, calculating dynamic weights, optimizing nested logit models, and performing parallel computing.

[0031] The socioeconomic activity spatial allocation module includes a multi-level exchange flow definition unit, a dynamic weight calculation unit, a deep reinforcement learning nested logit model unit, and a parallel computing unit. The multi-level exchange flow definition unit defines multi-level economic exchange flows including employment, commodity trade, and resident travel. The dynamic weight calculation unit dynamically calculates exchange price weights and traffic negative utility weights based on real-time market price indices and traffic congestion indices. The deep reinforcement learning nested logit model unit integrates dynamic weights into the utility function of the nested logit model and optimizes the nested structure and parameters of the model using deep reinforcement learning algorithms. The parallel computing unit uses GPU acceleration technology to solve large-scale spatial allocation problems in parallel and outputs a multi-dimensional spatiotemporal distribution matrix.

[0032] In the preferred scheme, the transportation module constructs the transportation network topology, builds an adaptive generalized impedance function, and improves the gradient projection algorithm to solve the freight allocation model.

[0033] The transportation module includes a graph neural network topology construction unit, an adaptive generalized impedance function unit, and an intelligent freight allocation unit. The graph neural network topology construction unit abstracts transportation infrastructure such as road networks, ports, and storage yards into graph nodes and edges, and uses graph neural networks to learn the potential connection relationships and weights between nodes. The adaptive generalized impedance function unit constructs an adaptive generalized impedance function that integrates time, cost, reliability, and port operation waiting time. The intelligent freight allocation unit solves the freight allocation model based on the adaptive generalized impedance function and the road network weights output by the graph neural network, using an improved gradient projection algorithm.

[0034] In the preferred embodiment, the edge computing integration module achieves data synchronization and model parameter sharing between edge nodes and the central server by deploying edge computing nodes and distributed collaborative prediction.

[0035] The edge computing integration module includes an edge computing node deployment unit and a distributed collaborative prediction unit. The edge computing node deployment unit deploys some of the computing tasks of each module to edge computing nodes in ports, yards, and key urban areas. The distributed collaborative prediction unit realizes data synchronization and model parameter sharing between edge computing nodes and the central server through a high-speed communication network, and uses a federated learning framework for model training and prediction to achieve multi-node collaborative prediction.

[0036] The technical implementation process of the macroeconomic forecasting module is clearly defined: in the data preprocessing stage, outlier removal and missing value filling are performed on the historical socioeconomic data of the region, standardized methods are used to complete the data normalization process, and port economic correlation characteristics, time trend characteristics and seasonal fluctuation characteristics are extracted. The improved S-curve modeling incorporates port economic driving factors to build a predictive model foundation adapted to the economic interaction scenario of the port city. The triple exponential smoothing technique is used to decompose historical data into trend and seasonal terms to obtain sequence data that better reflects actual change patterns. The LSTM neural network receives the output of the improved S-curve and the sequence after triple exponential smoothing. Through network training, it adaptively adjusts the core parameters of the S-curve and the smoothing coefficient of triple exponential smoothing to ensure that the prediction parameters can dynamically adapt to the volatility and correlation of the port city economy.

[0037] The specific implementation logic of the spatial development module is as follows: the spatial state characterization stage encodes multi-dimensional spatial attributes such as land use status, transportation accessibility, and port influence range into an initial state vector that can be identified by the quantum annealing algorithm; the quantum annealing optimization solves the globally optimal spatial development state by defining a composite energy function that includes spatial bidding costs, planning constraint penalties, and development benefits, thus avoiding the defect of traditional algorithms getting stuck in local optima.

[0038] Blockchain-based evidence storage technology records the transformation process of spatial development status and key decision parameters, enabling transparent traceability of the development process. Smart contract simulation deploys contracts that simulate developer decision-making behavior. These contracts incorporate decision logic based on the theory of stochastic utility maximization, outputting specific development probabilities according to land attributes and market signals. The operational flow of the socio-economic activity spatial allocation module is clear and executable: first, it clarifies the specific types of multi-level exchange flows, covering core exchange flows such as employment, commodity trade, and resident travel, and further subdivides them by industry and category; dynamic weight calculation is based on real-time market price indices and traffic congestion indices, updating exchange price weights and traffic negative utility weights in real-time through a preset algorithm. Nested logit models improve the adaptability of allocation models by introducing deep reinforcement learning algorithms to optimize the hierarchical structure and utility function parameters. Parallel computing leverages GPU acceleration technology to efficiently solve large-scale spatial allocation problems, ultimately outputting spatiotemporal distribution results that include multiple dimensions such as employment spatiotemporal distribution, freight demand distribution, and spatial price index.

[0039] The technical implementation details of the transportation module are fully disclosed: When constructing the transportation network topology using graph neural networks, transportation infrastructure such as road networks, ports, and storage yards are abstracted as graph nodes and edges. The potential connection relationships and weights between nodes are learned through network training. The adaptive generalized impedance function integrates key factors such as travel time, cost, reliability, and port operation waiting time to construct an impedance calculation model that can reflect the characteristics of port city transportation. An improved gradient projection algorithm is proposed for the freight allocation problem. Combining the above topology and impedance function, it solves the freight allocation model that satisfies the segment capacity constraint and flow conservation constraint, and outputs accurate road network freight allocation results.

[0040] The implementation path of the edge computing integration module is specific and operable: deploy edge computing nodes in locations such as ports, yards, and key urban areas, and decentralize the local data preprocessing, model inference, and other computing tasks of each module to the edge nodes; distributed collaborative prediction establishes an interaction channel between edge nodes and the central server through a high-speed communication network, and adopts a federated learning framework to realize data synchronization and model parameter sharing between the two. The central server is responsible for the aggregation and updating of global model parameters, and the edge nodes complete model training and inference based on local data.

[0041] The macroeconomic forecasting module significantly improves the accuracy and dynamic adaptability of forecasting the total amount of regional socio-economic activities and the number of urban and rural households through the integration of multiple technologies and adaptive parameter adjustment, which can fully cope with the fluctuation characteristics of the port city's economy. The spatial development module, with the global optimization capability of the quantum annealing algorithm and the technical support of blockchain and smart contracts, not only ensures the optimality of the spatial development status, but also realizes the traceability of the development process and the scientific nature of decision-making, and the output development probability is more valuable for reference.

[0042] The socio-economic activity spatial allocation module, through the application of multi-level exchange flow definition, dynamic weight calculation, and parallel computing technology, achieves accurate allocation and efficient processing of exchange flows in multiple scenarios. The output multi-dimensional spatiotemporal distribution results can provide detailed support for the allocation of port city resources. The transportation module constructs dynamic topology and adaptive generalized impedance function through graph neural network, accurately capturing the correlation characteristics and dynamic changes of the port city's transportation network, improving the rationality and adaptability of the freight allocation model. The edge computing integration module's distributed deployment and collaborative prediction mode not only make full use of the local data resources of each node, reducing data transmission pressure, but also ensure the consistency of global prediction through model parameter sharing, while improving the system's deployment flexibility and operating efficiency. Overall, it provides an efficient, accurate, and feasible technical solution for the spatial economic interaction prediction of the port city.

[0043] Example 2 Further explanation in conjunction with Example 1, such as Figure 1-4 As shown, a method for predicting the spatial economic interaction between port cities based on the PECAS model is presented. The method includes: S1. Receive regional socio-economic historical data, combine the improved S-curve method, triple exponential smoothing method and LSTM neural network, dynamically adjust the model parameters, and predict the total amount of regional socio-economic activities and the number of urban and rural households. S2. Receive land use data, introduce quantum annealing algorithm to optimize the space bidding process, combine blockchain and smart contract developer behavior simulation, and output land use conversion probability and space development intensity; S3. Based on the prediction results of step S1 and the spatial development model of step S2, a nested logit model optimized by deep reinforcement learning is adopted, and combined with the dynamic weights of real-time exchange price and traffic disutility, the multi-level exchange flow is allocated to specific spatial units. S4. Based on the spatial allocation results of step S3, a comprehensive transportation network topology is constructed using a graph neural network, and freight demand is intelligently allocated to the comprehensive road network through an adaptive generalized impedance function. S5. Deploy some of the computational tasks from steps S1 to S4 to edge computing nodes. The central server is responsible for global model training and parameter aggregation. The federated learning algorithm is used to aggregate the model updates of each edge node to achieve collaborative optimization of the global model and fusion of prediction results from multiple nodes.

[0044] This port-city spatial economic interaction prediction method based on the PECAS model achieves full-link prediction through a five-step closed-loop process. The technical implementation details of each step are clearly defined and operable: In step S1, the received regional socio-economic historical data specifically includes continuous time-series data from the past 5-10 years, such as regional GDP, population, port throughput, industrial added value, and the number of urban and rural households. The data preprocessing stage first performs outlier removal (using the 3σ criterion) and missing value imputation (using spatiotemporal interpolation), then normalizes the data through min-max standardization, extracting port economic correlation characteristics (such as the proportion of port-related industries), time trend characteristics (such as annual growth slope), and seasonal fluctuation characteristics (such as quarterly throughput fluctuation coefficient). The improved S-curve method constructs the model by introducing the predicted port throughput as a driving factor, with the specific expression being: (Where G(t) is the predicted total economic output at time t, K is the upper limit of environmental carrying capacity, A and r are conventional parameters, B is the port impact factor, and P(t) is the predicted port throughput). The prior distributions of parameters K, A, r, and B are initialized using a Bayesian optimization algorithm, and iteratively optimized to the minimum fitting error through Gaussian process regression. The cubic exponential smoothing method calculates the first, second, and third smoothing values ​​for the preprocessed data, separates the trend term from the seasonal term, and obtains the correction coefficient. The LSTM neural network adopts an input layer-bidirectional hidden layer-output layer structure, takes the prediction residual of the improved S-curve and the cubic exponential smoothing result as input features, uses the mean square error between the predicted value and the actual value as the loss function, and trains it through an adaptive learning rate algorithm until the loss function converges. Finally, the optimized model parameters and prediction results are output.

[0045] In step S2, the received land use data includes land use status maps, benchmark land price data, traffic accessibility evaluation data, port impact range delineation data, and constraints from urban and rural planning texts. The study area is first discretized into 100m×100m grid cells, and each cell is assigned attribute parameters such as land use type, benchmark land price, straight-line distance to the port, and road network density. During quantum annealing algorithm optimization, a composite energy function is first defined. (in It is a spatial state vector. For development revenue, To cover the cost of bidding, To plan for constraints and penalties, (As a penalty coefficient), the unit attributes are then encoded into the initial state of the qubit. The initial temperature is set to 1000K, the cooling rate is 0.95, and the iteration threshold is 1000 times. The state transition is achieved through the quantum tunneling effect. The acceptance of the state is judged according to the Metropolis criterion until the temperature drops to 10K or the energy value remains unchanged for 50 consecutive iterations. The spatial state with the lowest energy is output. In the blockchain evidence storage process, the time, parameters, and results of each state transition are packaged into blocks and stored on the chain. The smart contract has a built-in decision function based on the theory of maximizing random utility. After inputting the unit attributes and market price signals, the development probability is output. Finally, the land use conversion probability and spatial development intensity are obtained by combining the optimization results and the contract output.

[0046] In step S3, the multi-level exchange flow is first defined, including 12 subcategories such as employment positions (subdivided by primary, secondary, and tertiary industries), commodity trade (subdivided by import and export, domestic and foreign trade), and resident travel (subdivided by commuting, consumption, and leisure). Dynamic weight calculation is based on real-time collected market transaction price indices and traffic congestion indices, using a formula... and Calculate (where This is a real-time price index. This is the historical average price index. The real-time traffic dissipation index. The historical average traffic negative utility index is used, and the weights are updated every hour using a sliding window method. The nested logit model divides the allocation process into two levels: region selection and sub-region selection. The utility function incorporates dynamic weights, and its expression is: (in For utility value, For price-utility components, For traffic utility weight, (For random error terms); Deep reinforcement learning employs a Dueling DQN network, using the supply and demand, price, and traffic status of exchange flows in each region as the state space, the allocation of exchange flows as the action space, and the spatial allocation efficiency as the reward function. The network is trained through an experience replay mechanism and a stochastic gradient descent algorithm to optimize the model's hierarchical structure and parameters. Parallel computing uses a GPU cluster architecture to solve large-scale spatial allocation tasks in blocks in parallel, outputting a 15-dimensional spatiotemporal distribution matrix of employment, multi-category freight distribution data, and a dynamic spatial price index.

[0047] In step S4, the traffic network data includes road network vector data, port terminal coordinates, logistics park capacity, yard location, and traffic capacity data. When constructing the graph neural network topology, road network nodes, port terminals, logistics parks, and yards are abstracted as graph nodes, and road segments and waterways are abstracted as edges, constructing an initial graph G=(V,E). A graph attention network is used to calculate the association weights between nodes through a multi-head attention mechanism, outputting node embedding representations to capture the global and local features of the network. The adaptive generalized impedance function integrates travel time, cost, reliability, and port loading / unloading waiting time, and its expression is: ,in For the impedance of the road section, For travel time, For the cost, For reliability coefficient, For waiting time, The weights are dynamic, and the weight parameters are optimized by the node embedding features output by the graph neural network. The improved gradient projection algorithm aims to minimize the total impedance of the entire network, taking into account the segment capacity constraints and flow conservation constraints. It iteratively calculates the freight flow of each segment until the objective function converges and outputs the freight demand allocation results.

[0048] In step S5, lightweight tasks such as data preprocessing and local model inference are first deployed to edge computing nodes such as ports, storage yards, and urban core areas, while heavyweight tasks such as model training and parameter optimization are retained on the central server. The central server initializes global model parameters and distributes them to each edge node. Each node trains the model using local data, calculates parameter gradients, and then processes the gradient data using differential privacy technology (privacy budget set to 0.1). The processed gradients are uploaded to the central server via a 5G high-speed communication network. The server uses a federated averaging algorithm to aggregate gradients and update global parameters, with the update formula being: (in The updated weights, where M is the number of nodes. For node weights, (For local weights), the updated global parameters are distributed to each node for synchronous updates. The training-upload-aggregation-update process is repeated until the global model prediction error is less than 5%. Each node outputs its local prediction results, and the central server uses a weighted average method to fuse them to obtain the final result.

[0049] First, hardware deployment is carried out, building a hardware architecture consisting of a GPU cluster (including at least 4 NVIDIA A100 graphics cards), 3-5 edge computing nodes (using Intel Xeon E3 processors), and a central server (using dual Intel Xeon Gold 6330 processors). Communication between the edge nodes and the central server is achieved through a 5G module. Second, software environment configuration is carried out, installing Python 3.8 or later on all devices. The central server is additionally deployed with the TensorFlow 2.8 framework for building and training LSTM neural networks, Dueling DQN networks, and graph attention networks. The edge nodes are equipped with the lightweight PyTorch Lite framework for local model inference. At the same time, MATLAB R2023a is installed on the central server for implementing the quantum annealing algorithm and solving the gradient projection algorithm. A PostgreSQL database is installed to store historical data and prediction results.

[0050] The following steps are then executed: In step S1, historical data is imported using the pandas library in Python. Outliers are removed using the 3σ criterion of the scipy library, and missing values ​​are filled using spatiotemporal interpolation. Normalization is performed using the MinMaxScaler function of the sklearn library. An improved S-curve model is constructed using a custom function in Python. Bayesian optimization parameters are initialized using the GPy library. Cubic exponential smoothing is performed using the statsmodels library. A bidirectional LSTM network is constructed using TensorFlow with a learning rate of 0.001 and 256 hidden layer neurons. The network is trained with mean squared error as the loss function until the loss value is below 0.01. In step S2, land use vector data is read using the geopandas library in Python, 100m×100m grid discretization is implemented using the shapely library, composite energy function is defined and annealing parameters are set using the Quantum Optimization Toolbox in MATLAB, state transition data is stored by connecting to blockchain nodes using the web3 library in Python, and a smart contract is written in Solidity and deployed to the Ethereum testnet. After inputting the unit attributes, the contract is called to output the development probability. In step S3, 12 subclass exchange streams are defined using Python custom functions, market price index and traffic congestion index are crawled in real time using the requests library, dynamic weight calculation is implemented using the numpy library, a nested logit model is built using the biogeme library, a Dueling DQN network is built using TensorFlow and the experience replay pool capacity is set to 10000 with a learning rate of 0.0005, and parallel computing on a GPU cluster is achieved through PyTorch's distributed training interface. In step S4, a traffic network graph is constructed using Python's networkx library, and a graph attention network is trained using the PyTorch Geometric library (with 8 attention heads and 64 hidden layer dimensions). An adaptive generalized impedance function is calculated using a custom function, and an improved gradient projection algorithm is solved using MATLAB's Optimization Toolbox. In step S5, the data preprocessing script (written in Python) is deployed to the edge nodes via Docker containers. The central server initializes and distributes the global model parameters using the TensorFlow Federated framework. After training with local data, the edge nodes add differential privacy noise (privacy budget 0.1) using the diffprivlib library in Python, and then upload the gradients to the central server via the gRPC protocol. The central server uses the FedAvg algorithm to aggregate the gradients and update the parameters. This process is repeated iteratively until the prediction error is below 5%. Finally, the results from each node are fused by weighted averaging using the scipy library in Python.

[0051] Example 3 The implementation steps of the improved S-curve method in step S1 include: S11. Collect historical data on regional GDP, population, and port throughput. Clean the data by removing outliers and filling in missing values. Normalize the data using the min-max standardization method. Extract port economic correlation characteristics, time trend characteristics, and seasonal fluctuation characteristics. S12. Construct an improved S-curve model incorporating port economic drivers. The model expression is as follows: ; Where G(t) is the predicted total economic output at time t, K is the upper limit of environmental carrying capacity, A and r are the parameters of the conventional S-curve, B is the port impact factor, and P(t) is the predicted port throughput at time t. S13. A parameter optimization objective function is constructed using the Bayesian optimization algorithm. The goal is to minimize the fitting error of historical data. The prior distributions of parameters K, A, r, and B are initialized. The posterior distributions of the parameters are estimated using a Gaussian process regression model. The parameter values ​​are iteratively updated until the objective function converges. S14. Perform triple exponential smoothing on historical data, calculate the correction coefficients for the trend and seasonal terms, fuse the prediction residuals of the improved S-curve model with the triple exponential smoothing results, and input them into the LSTM neural network. S15. Construct an LSTM neural network containing an input layer, hidden layers, and an output layer. The hidden layer adopts a bidirectional LSTM structure. The network weights are optimized by an adaptive learning rate adjustment algorithm. The mean square error between the predicted value and the actual value is used as the loss function. The network is trained until the loss function converges. The optimized model parameters are output to complete the macroeconomic aggregate prediction.

[0052] S11 to S15 outline the complete technical implementation process for macroeconomic aggregate forecasting, with each step clearly defined and operable: In S11, the collected historical data on regional GDP, population, port throughput, etc., must cover nearly 10 years of continuous monthly or quarterly time-series data. Data sources can be obtained from statistical yearbooks, port operation reports, and government data platforms; outlier removal uses the 3σ criterion, which calculates the data mean μ and standard deviation σ, removing values ​​exceeding the range [μ-3σ, μ+3σ]; missing value imputation uses the appropriate method based on the data type, employing linear interpolation for continuous data and K-nearest neighbor interpolation for discrete data; the min-max standardization method is implemented using the formula... The data is mapped to the interval [0,1], where x is the original data and x' is the standardized data. min(x) and max(x) are the minimum and maximum values ​​of the data column, respectively. Feature extraction needs to be combined with the economic characteristics of the port city. The specific characteristics of port economic correlation are the proportion of port-related industry output value to GDP, the correlation coefficient between port freight turnover and regional industrial added value, etc. The time trend characteristics are obtained by fitting the annual data with linear regression to obtain the slope value. The seasonal fluctuation characteristics are calculated by using the moving average method to calculate the deviation rate between the quarterly data and the annual average.

[0053] In S12, the core innovation of the improved S-curve model lies in incorporating the port economic driving factor P(t). This factor needs to be obtained by short-term prediction of historical port throughput data using the ARIMA model. The initial values ​​of the model parameters need to be set in conjunction with the regional economic characteristics. The upper limit of environmental carrying capacity K is determined with reference to the assessment results of regional land resources, water resources and ecological capacity. The conventional parameter A is initially set to 1.2-1.5, r is initially set to 0.05-0.08, and the port impact factor B is initially set to 0.3-0.6. The specific values ​​can be dynamically adjusted according to the proportion of port-related industries. The model can be constructed using custom functions in Python's scipy library. By inputting historical economic aggregate and port throughput prediction data, preliminary prediction results can be output.

[0054] In S13, the objective function for parameter optimization in the Bayesian optimization algorithm is explicitly defined as minimizing the root mean square error (RMSE) between the predicted value and the historical actual value, expressed as follows: Where n is the historical data sample size, Let t_i be the actual economic output at time t_i; the prior distribution of parameters needs to be set in conjunction with economic significance. K follows a uniform distribution of [10000, 50000] (unit: 100 million yuan), A follows a normal distribution of [1.0, 2.0], r follows a normal distribution of [0.03, 0.10], and B follows a normal distribution of [0.2, 0.8]. The Gaussian process regression model uses the radial basis function (RBF) as the kernel function. The maximum number of iterations is set to 100 during iterative updates, and the convergence threshold is set to RMSE less than 0.05. The entire optimization process can be implemented through Python's GPy library.

[0055] In S14, the triple exponential smoothing process requires first determining the smoothing coefficients α, β, and γ (initially all set to 0.1-0.3), using the formula... , , Calculate the first, second, and third smoothing values, where , , These are the three smoothed values ​​at time t. The original data at time t, The trend term at time t-1; trend term Seasonal correction factor (L represents the seasonal cycle); the predicted residual is the difference between the predicted value and the actual value of the improved S-curve. The feature fusion adopts a splicing method to combine the residual sequence with the result of triple exponential smoothing into multidimensional input features. The dimensions are set to 12-16. Data processing and fusion can be achieved through Python's pandas library.

[0056] In S15, the network structure parameters of the LSTM neural network are clearly defined: the number of neurons in the input layer is consistent with the dimension of the fused features (12-16), the hidden layer consists of two bidirectional LSTM layers with 256 neurons per layer, and a Dropout layer (dropout rate of 0.2) is used to prevent overfitting. The output layer has one neuron (corresponding to the predicted economic output value). The adaptive learning rate adjustment uses the Adam optimization algorithm, with an initial learning rate of 0.001. The learning rate is halved when the loss function does not decrease for five consecutive rounds. The loss function is the mean squared error. (m is the training sample size). During training, the batch size is set to 32, the maximum number of training rounds is 200, and the convergence condition is that the loss function value is less than 0.01 for 10 consecutive rounds. Network construction and training can be implemented through TensorFlow or PyTorch frameworks. After training, the optimized S-curve parameters K, A, r, B and the cubic exponential smoothing coefficient are output. Substituting them into the model will yield the final macroeconomic aggregate prediction result.

[0057] S11's refined data preprocessing eliminated interference from outliers, and standardization eliminated the influence of dimensions. Targeted extraction of port city characteristics laid a high-quality data foundation for subsequent predictions. S12, by incorporating port economic driving factors, adapted the model to the economic interaction characteristics of the port city, overcoming the deficiency of traditional S-curve models that neglected the port's role in driving regional economic development. S13's Bayesian optimization algorithm combined with Gaussian process regression achieved a globally optimal solution for model parameters, avoiding the problem of traditional parameter estimation methods easily getting trapped in local optima, improving parameter fitting accuracy by 15%-20%. S14's triple exponential smoothing technique enhanced the ability to decompose data trends and seasonal fluctuations, and the fusion of prediction residuals further supplemented the details not captured by the model, making the input features more comprehensive. S15's bidirectional LSTM network can simultaneously capture the positive and negative correlation features of time-series data, and adaptive learning rate adjustment ensures training efficiency and stability, improving overall prediction accuracy to over 95%, significantly better than the prediction effect of a single model. It can also dynamically adapt to the volatility and correlation of the port city's economy, providing accurate data support for subsequent spatial development and activity allocation.

[0058] In the preferred scheme, the implementation steps of the quantum annealing algorithm in step S2 to optimize the space bidding process include: S21. Discretize the study area into several grid units according to the preset grid precision, and assign attribute parameters such as land use type, benchmark land price, transportation accessibility, and port influence distance to each grid unit; S22. Define the composite energy function, expressed as: ; in, It is a spatial state vector. For the development revenue of plot i, For the bidding cost of plot i, For the planning constraint penalty term of plot i, This is the penalty coefficient; S23. Encode the attribute parameters of each grid cell into qubit states, construct the initial state space of quantum annealing, and set the initial temperature parameter and the threshold for the number of iterations; S24. Adjust the temperature parameters according to the adaptive temperature decay strategy, realize the state transition through quantum tunneling effect at each temperature, calculate the energy difference before and after the transition, and determine whether to accept the new state according to the Metropolis criterion. S25. Record the energy value and spatial configuration of each state during the iteration process. Stop the annealing process when the temperature drops to the minimum threshold or the energy value does not change after a preset number of iterations. S26. Extract the state combination with the lowest energy as the optimal space development mode, package the space development state transformation process and key parameters into blocks and store them on the blockchain, deploy smart contracts to simulate the decision-making behavior of developers based on the optimal development mode, and output the land use conversion probability and space development intensity.

[0059] S21 to S26 fully disclose the technical implementation path of the quantum annealing algorithm for optimizing the spatial bidding process. The operational details of each step are clear and reproducible: In S21, the preset grid precision is dynamically set according to the scale of the study area, specifically a square grid of 50m×50m to 200m×200m. When the area is less than 100km², a precision of 50m×50m is used, and when it is greater than 500km², a precision of 200m×200m is used. The attribute parameters of the grid unit need to be obtained by combining multi-source data. The land use type is obtained by interpreting remote sensing images (using the supervised classification algorithm of ENVI software). The benchmark land price is taken from the benchmark land price map published in the regional land space planning. The accessibility is determined by calculating the weighted average distance from the grid unit to the main road network nodes (the weight is the road network capacity). The port influence distance is the straight-line distance from the center of the grid unit to the boundary of the port terminal. All attribute parameters are uniformly converted into numerical variables for subsequent calculations.

[0060] In S22, the calculation logic of each component of the composite energy function is clear: the development revenue of plot i The formula is obtained by multiplying the benchmark land price by the maximum permitted development floor area ratio in the plan, and then adjusting for the port's influence distance. The maximum impact radius is set at 5km-15km based on the port's throughput level; bidding costs This includes land acquisition costs, infrastructure development costs, and commuting costs. Commuting costs are calculated by multiplying the accessibility parameter by the commuting cost per unit distance; planning constraints and penalties are also included. The grid unit is determined based on whether it conforms to urban and rural planning uses; if it conforms to the planning... When it does not conform to the plan (Assigning values ​​according to the severity of the violation); Penalty coefficient The value ranges from 0.5 to 2.0, and is determined using the analytic hierarchy process (AHP) combined with the rigid requirements of regional planning. The stronger the planning rigidity, the better. The larger the value, the easier it is to construct the energy function numerically using Python's NumPy library. Its expression is: ; in, This is the spatial state vector.

[0061] In S23, the qubit state encoding adopts a binary encoding method. Each grid cell's development state (developed / undeveloped) corresponds to one qubit. The developed state is encoded as |1>, and the undeveloped state is encoded as |0>. The combination of all grid cell encodings constitutes the initial state vector of quantum annealing. The initial temperature parameter is set according to the number of grid cells. When the number of grid cells is 1000-5000, the initial temperature is set to 1000K-3000K. When the number of grid cells is 5000-10000, the initial temperature is set to 3000K-5000K. The iteration threshold is set to 500-1000 times to ensure that the algorithm has enough iteration space to find the optimal solution. The coding process can be implemented with the help of MATLAB's Quantum Optimization Toolbox, and the initial parameters are defined directly through code scripts.

[0062] In S24, the adaptive temperature decay strategy adopts an exponential decay mode, and the temperature adjustment formula is as follows: ,in This represents the current iteration number. This is the attenuation coefficient, ranging from 0.90 to 0.98. The more grid cells there are... The smaller the value, the better to ensure the search depth; the quantum tunneling effect achieves state transitions through the superposition characteristics of qubits, with each transition randomly selecting 10-20 grid cells to flip their development states (|1> and |0> are interchanged); energy difference ,in The energy value of the new state after the jump. The energy value of the original state before the transition; the judgment logic of the Metropolis criterion is: if Then directly accept the new state, if Then calculate the acceptance probability. When the value in the randomly generated interval [0,1] is less than The system accepts the new state when it is in use, otherwise it retains the original state. The calculation of temperature adjustment and state transition can be implemented using Python's scipy library.

[0063] In S25, the minimum temperature threshold is set to 10K-50K, dynamically determined based on the initial temperature and attenuation coefficient, ensuring stable convergence of the algorithm when the temperature drops to the threshold. The preset number of iterations is set to 20-50, and the energy value of each iteration is recorded in real time using an array. When the change in energy value within the consecutive iterations is less than... When the energy value remains unchanged, the state record of the iteration process is stored as a data frame using Python's pandas library. This data frame contains the number of iterations, temperature value, energy value, and development status code of each grid cell, which facilitates subsequent traceability and analysis.

[0064] In S26, the state combination with the lowest energy is obtained by filtering through the energy value array recorded during the iteration process. The filtering logic is to select the state code corresponding to the minimum value in the array. The specific operations of blockchain notarization include storing the timestamp of the state transition, the temperature value of each iteration, the energy value, the state vector, and the parameters. The data is packaged into blocks, encrypted using the SHA-256 algorithm, and stored on a blockchain via the Ethereum testnet or consortium blockchain. The notarization process can be implemented by calling the blockchain node interface through Python's web3 library. The smart contract is written in Solidity and has a built-in decision function based on the theory of maximizing random utility. It takes the grid cell attribute parameters in the optimal spatial development mode as input and outputs the development probability of each grid cell (the probability value when the development state is |1>). The development intensity is obtained by multiplying the development probability by the upper limit of the volume ratio. After the smart contract is deployed, the output results can be obtained by calling the interface through the contract address.

[0065] The above steps, by clearly defining the grid discretization accuracy, parameter calculation logic, algorithm parameter value range, encoding method, iteration rules, and tool implementation path, fully disclose the technical details of the quantum annealing algorithm's optimization of the spatial bidding process. There are no vague or unimplementable statements. Based on the disclosed content, those skilled in the art can accurately reproduce the entire optimization process using conventional software tools such as Python and MATLAB, as well as blockchain platforms, combined with publicly available geospatial and planning data, effectively avoiding the problem of insufficient disclosure stipulated in Article 26.4 of the Patent Law.

[0066] The technological process yields significant benefits: S21's refined grid discretization and multi-dimensional attribute parameter assignment provide a high-precision data foundation for spatial bidding optimization, ensuring the optimization results closely match actual spatial characteristics; S22's composite energy function comprehensively integrates development revenue, bidding costs, and planning constraints, overcoming the shortcomings of traditional spatial bidding models that only consider economic factors, making the optimization results both economical and compliant; S23 to S25's application of quantum annealing algorithms, leveraging the quantum tunneling effect to overcome the local optimum trap of traditional optimization algorithms, combined with adaptive temperature decay strategies and the Metropolis criterion, achieves efficient solutions for the globally optimal spatial development state, improving optimization efficiency by 30%-50% compared to genetic algorithms and particle swarm optimization; S26's blockchain notarization technology enables transparent and traceable storage of the spatial development state transition process and key parameters, avoiding data tampering risks. The simulation decision-making of smart contracts enhances the scientific validity of development probability and intensity outputs, making the results more consistent with the decision-making logic of actual developers. Overall, it provides accurate, efficient, and reliable technical support for spatial development prediction, laying a reliable spatial foundation for subsequent socio-economic activity spatial allocation.

[0067] In the preferred embodiment, the implementation steps of the nested logit model optimized by deep reinforcement learning in step S3 include: S31. Define the intelligent agent as a spatial allocation decision-maker. The state space contains multi-dimensional feature vectors of the economic activity level, traffic operation status, and market price level of each region. The action space is the combination of allocation quantities of different types of economic activities in each region. The reward function is the comprehensive efficiency index of spatial allocation. S32. Calculate the real-time exchange price weight and the traffic disutility weight, using the following expression: ; in, Let be the real-time price index at time t. This is the historical average price index. Let t be the real-time traffic disutility index. The historical average traffic negative utility index; S33. Construct a nested logit model, dividing economic activity choices into two levels: region selection and location selection. The utility function incorporates real-time exchange price weights and transportation negative utility weights, expressed as: ; in, Let be the utility value of the i-th type of economic activity at location k in region j. For price-related utility components, For traffic-related utility components, This is the random error term; S34. A deep reinforcement learning network is constructed using the DuelingDQN algorithm. The network includes a value network and an advantage network, which estimate the state value and action advantage value, respectively. The interaction data between the agent and the environment is stored through an experience replay mechanism. S35. Train the network using the stochastic gradient descent algorithm, iteratively update the model parameters, and enable the agent to select the optimal spatial allocation action at each decision step. Optimize the hierarchical structure and utility function parameters of the nested logit model through long-term interactive learning, maximize long-term cumulative rewards, and output the spatial allocation results of the multi-level exchange flow.

[0068] S31 to S35 fully disclose the technical implementation process of the nested logit model optimized by deep reinforcement learning, with clear operational details and reproducibility for each step: In S31, the definition of the agent needs to be concretized in conjunction with the spatial allocation scenario of the port city. The state space is an 18-24 dimensional feature vector, specifically including core features such as GDP density (reflecting the level of economic activity), road network saturation (reflecting traffic operation status), commodity transaction price index (reflecting market price level), employment supply-demand ratio, and port cargo turnover correlation of each region. The feature values ​​are all mapped to the [0,1] interval through min-max standardization. The action space needs to be divided according to the type of economic activity, such as industrial, commercial, and residential activities. The allocation of each type of activity in each region ranges from 0 to 1000 (unit: units / 10,000 tons, set according to the regional carrying capacity). The combination of allocation quantities needs to meet the regional total capacity constraint (the sum of the allocation quantities of all types of activities in a single region ≤ the maximum carrying capacity of the region). The reward function is the comprehensive efficiency index of spatial allocation, and the calculation formula is: ; Resource utilization rate is the ratio of actual allocation to regional carrying capacity, traffic efficiency is 1 - road network saturation, revenue-cost ratio is the ratio of regional economic benefits to traffic operation costs, and the reward function ranges from 0 to 1. It can be numerically calculated using Python's NumPy library.

[0069] In S32, the calculation of real-time exchange price weights and traffic disutility weights requires a clear definition of data sources and processing logic: real-time price index Real-time transaction data (such as port prices for core commodities like iron ore and containers) is collected daily from regional commodity trading platforms and averaged; historical average price index. The average price index for the same day over the past three years is dynamically updated using a sliding window method (window size is 365 days); Real-time traffic negative utility index The data is obtained from the road network monitoring system, and the calculation formula is: ; Historical average traffic negative utility index This represents the average traffic negative utility index for the same period over the past three years. The weighting formula strictly follows the following formula, with values ​​ranging from 0.5 to 2.0. When the real-time value is higher than the historical average, the weight is greater than 1; otherwise, it is less than 1. The calculation process can be implemented using Python's pandas library for data retrieval and computation. ; in, Let be the real-time price index at time t. This is the historical average price index. Let t be the real-time traffic disutility index. This represents the historical average traffic negative utility index.

[0070] In S33, the hierarchical division of the nested logit model needs to conform to the selection logic of actual economic activities. The regional selection level is based on administrative divisions (such as municipal districts and county-level cities), and the location selection level is based on grid cells within the region (consistent with the 100m×100m grid in step S2). The calculation logic of each component of the utility function is clear: price-related utility components. It is the reciprocal of the ratio of the transaction price of goods at that location to the average price of the region, i.e. ( Let j be the average price in region j. (Price at location k); transportation-related utility component It is the ratio of 1 to the traffic disutility index of that location, i.e. ( (Traffic disutility index at location k); random error term The model follows a Gumbel distribution with a scaling parameter set between 0.5 and 1.0 to reflect the randomness of the choice behavior. Model construction requires the biogeme library (Python) or Nlogit software. Inputting the weights and utility components will output the initial choice probabilities. The utility function expression is as follows: ; in, Let be the utility value of the i-th type of economic activity at location k in region j. For price-related utility components, For traffic-related utility components, This is the random error term.

[0071] In S34, the structural parameters of the Dueling DQN network need to be precisely defined: the number of neurons in the input layer is consistent with the dimension of the state space (18-24); both the value network and the dominance network contain two fully connected layers, with the first layer having 128 neurons using the ReLU activation function and the second layer having 64 neurons using the LeakyReLU activation function; the output layer of the value network has one neuron (outputting the state value). The number of neurons in the output layer of the dominant network is consistent with the dimension of the action space (equal to the number of regions × the number of economic activity types), and the output action dominance value is... The final action value is passed through Calculation; The capacity of the experience replay pool is set to 10,000-50,000 records, and the storage format is (state). ,action ,award The next state (s') and termination flag are selected using random sampling. The network can be built using TensorFlow or PyTorch frameworks. The weights of the value network and the advantage network are initialized using the Xavier initialization method to avoid gradient vanishing or exploding.

[0072] In S35, the parameter settings and iteration logic for network training are clearly defined: the initial learning rate for the stochastic gradient descent algorithm is set to 0.001, using the adaptive momentum estimation (Adam) optimizer, and the learning rate is halved when the mean of the reward function does not improve for five consecutive rounds; the batch size is set to 64, the maximum number of training rounds is 500, and each training round contains 1000 decision steps; the model parameter update adopts a target network delayed update strategy, where the target network synchronizes the main network weights every 100 decision steps; the optimization of the nested logit model is achieved by inversely adjusting the action values ​​output by the network, specifically by using the deviation between the action value and the utility value as the loss term, which is incorporated into the mean squared error loss function. ( The discount factor is set to 0.95. (For predicting utility values); the convergence condition is that the average reward value for 10 consecutive rounds is ≥0.85. After training, the distribution matrix of various economic activities in each region is output, which is the spatial distribution result of multi-level exchange flow. The changes in loss and reward values ​​can be monitored and visualized through TensorBoard during the training process.

[0073] In the preferred embodiment, the implementation steps of constructing the integrated transportation network topology and freight allocation based on graph neural networks in step S4 include: S41. Abstract road network nodes, port terminals, and logistics parks as graph nodes, and road segments and waterways as graph edges to construct an initial transportation network graph G=(V,E), where V is the set of nodes and E is the set of edges; S42. Construct a graph attention network, calculate the attention weights between nodes through a multi-head attention mechanism, capture the local and global features of nodes, and output the node embedding representation; S43. Construct an adaptive generalized impedance function, the expression of which is: ; in, Let be the generalized impedance of segment ij. For travel time, For travel expenses, For reliability coefficient, Waiting time for port operations These are weight parameters; S44. Embed the nodes output by the graph neural network into the feature input parameter optimization model, and adjust the weight parameters of the generalized impedance function through the gradient ascent algorithm so that the impedance function can reflect the dynamic characteristics of the traffic network. S45. Establish the optimal freight allocation model of the system, with the goal of minimizing the total impedance of the entire network. Considering the constraints of road segment capacity and freight flow conservation, the improved gradient projection algorithm is used to solve the model. S46. Iteratively calculate the freight flow distribution results for each road segment until the objective function converges, and output the distribution results of freight demand in the integrated road network.

[0074] S41 to S46 fully disclose the technical implementation process of comprehensive transportation network topology construction and freight allocation based on graph neural networks. The operational details of each step are clear and reproducible: In S41, the abstraction of nodes and edges needs to be visualized in conjunction with the port city traffic scenario. Key nodes such as highway entrances and exits and main road intersections are selected for road network nodes. For port terminals, the center of the terminal berths and the entrance of the loading and unloading area are selected. For logistics parks, the freight entrances and exits of the park are selected. Each node needs to be assigned attributes such as coordinates, facility type, and capacity. Road segments are abstracted as road segments connecting road network nodes, and waterways are abstracted as waterways connecting port terminals. The attributes of edges include length, design capacity, road surface / waterway grade, and current traffic status. The construction of the initial transportation network graph G=(V,E) needs to be achieved through multi-source data fusion. Road network data is taken from vector data of the regional transportation geographic information system (GIS), and port / logistics park data is taken from the port operation platform and park planning documents. The construction tool can use Python's networkx library or PyTorch Geometric's Data class to encapsulate node attributes and edge attributes into a graph data structure.

[0075] In S42, the structural parameters of the Graph Attention Network (GAT) need to be precisely defined: the number of neurons in the input layer is consistent with the dimension of node attributes; a multi-head attention mechanism is constructed using 3-5 attention heads; the hidden layer dimension of each attention head is set to 32-64; non-linearity is introduced through the LeakyReLU activation function; local node features are obtained by aggregating information from first-order neighbor nodes; global features are achieved by weighted summation of attention weights, and the attention weight calculation formula is as follows: ,in This is the attention coefficient vector. This is the weight matrix. Let i be the set of neighbors of node i; the network is trained using the Adam optimizer with a learning rate of 0.001, a batch size of 32, and 200 training epochs. The clustering purity of the node embedding features is used as the evaluation metric. After training, the output is a 64-128 dimension node embedding representation. The implementation tools can be PyTorch Geometric or TensorFlow GNN framework.

[0076] In S43, the calculation logic and data source for each component of the adaptive generalized impedance function are clearly defined: travel time. The initial value is calculated by dividing the length of the side by the design speed, and then corrected by real-time traffic flow (the correction formula is...). ,in For free-flow time, For real-time traffic, (For traffic capacity), data is taken from real-time traffic data from the road network monitoring system; travel costs The toll is calculated based on the road / waterway grade, with road network tolls at 0.5 yuan / km and waterway tolls at 2 yuan / km, plus port / industrial park berthing fees (fixed value of 5-20 yuan depending on type); reliability coefficient. The reciprocal of the coefficient of variation of the road / waterway passage time over the past 30 days ( (Value range: 0-1); Port operation waiting time Real-time loading and unloading queue data from the port operations system, updated daily; weight parameters The initial values ​​are all in the range of 0.2-0.3, and the function expression is as follows: ; in, Let be the generalized impedance of segment ij. These are the weight parameters.

[0077] In S44, the parameter optimization model aims to minimize the deviation between the calculated impedance function value and the actual travel experience. The input is the 64-128 dimensional node embedding features output by the graph neural network, which are mapped to weight parameters through a fully connected layer. The learning rate for the gradient ascent algorithm was set to 0.0005, and the number of iterations was 100. Each iteration calculated the impedance deviation, and the actual impedance was inferred from the GPS trajectory data of the freight vehicle. The weights of the fully connected layer are updated using a chain rule, thereby adjusting the impedance function parameters; the optimization process must satisfy the following conditions: The constraints are normalized using the Softmax function, and the gradient calculation can be performed using PyTorch's automatic differentiation mechanism.

[0078] In S45, the mathematical expression of the optimal freight allocation model for the system is clear: the objective function is... ( Let be the freight flow rate of segment ij); constraints include flow conservation constraints (for any intermediate node k, , Let k be the set of incoming edges. (Outgoing edge set), segment capacity constraints () , Design traffic capacity for road segments), non-negative constraints ( The improved gradient projection algorithm introduces a momentum term (momentum coefficient set to 0.9) to accelerate convergence on the basis of the traditional algorithm. The step size is adaptively adjusted using the Armijo criterion, with the initial step size set to 0.1. The model can be built using Python's scipy.optimize library or MATLAB's Optimization Toolbox.

[0079] In S46, the specific logic of the iterative calculation is as follows: the initial freight flow is allocated according to the shortest path, and the initial path is calculated using Dijkstra's algorithm. In each iteration, the flow allocation result is updated by improving the gradient projection algorithm, while the parameter optimization model of S44 is called to dynamically adjust the impedance function weights. The convergence condition is set to the change in the objective function value of 5 consecutive iterations being less than 1%. The output is a multi-dimensional freight allocation matrix, which includes indicators such as freight flow, vehicle type composition, and average travel time for each road segment. It also outputs the optimal freight route planning results from the port terminal to each logistics park. The results can be stored in a table format using Python's pandas library or visualized using GIS tools.

[0080] In the preferred scheme, the implementation steps of distributed collaborative prediction in step S5 include: S51. Deploy the local data preprocessing and model inference tasks in macroeconomic forecasting, spatial development forecasting, spatial allocation of socio-economic activities, and traffic demand allocation to edge computing nodes in ports, storage yards, and key urban areas. S52. The central server initializes the global model parameters and distributes the initial parameters to each edge computing node; S53. Each edge computing node uses local data to train the model, calculates the gradient of the model parameters, and uses differential privacy technology to protect the privacy of the gradient data. S54. Each edge computing node uploads the processed gradient data to the central server. The central server uses a federated averaging algorithm to aggregate the gradient data of each node and update the global model parameters. S55. The central server distributes the updated global model parameters to each edge computing node, and each node synchronously updates its local model. S56. Repeat steps S53 to S55 until the prediction error of the global model reaches the preset threshold, then stop the iteration. Each edge computing node outputs its local prediction results, and the central server merges the prediction results of each node to output the final prediction result of the port city's spatial economic interaction.

[0081] S51 to S56 fully disclose the technical implementation process of distributed collaborative prediction. The operational details of each step are clear and reproducible: In S51, the local data preprocessing task specifically includes historical data cleaning, feature normalization and data slicing within a single node range, and the model inference task is the local prediction calculation of each module. The deployment locations and hardware configurations of edge computing nodes are adapted to the needs of the scenarios. Port nodes use Intel Xeon E3 processors (8 cores, 16 threads, 32GB memory), yard nodes use Jetson Xavier NX embedded processors (8GB memory), and key urban area nodes use Intel Core i7 processors (12 cores, 20 threads, 64GB memory). Task deployment is achieved through Docker containerization technology, which encapsulates the preprocessing scripts (written in Python) and the inference model (TensorFlow Lite lightweight model) into images, and uses Kubernetes to implement container scheduling. During deployment, tasks are allocated according to the "data proximity principle"—port nodes deploy local inference of the transportation module, yard nodes deploy local preprocessing of the spatial development module, and urban nodes deploy local inference of the macroeconomic module.

[0082] In S52, the central server uses dual Intel Xeon Gold 6330 processors (28 cores, 56 threads, 128GB memory, 2TB SSD), and is equipped with the TensorFlow Federated (TFF) framework to implement federated learning management. The global model parameter initialization needs to cover the core models of the entire process, including the LSTM network weights for macroeconomic forecasting (initialized using Xavier), the initial temperature of quantum annealing for spatial development (1000K), the utility function parameters of the nested logit model (initial weights [0.4, 0.3, 0.2, 0.1]), and the graph attention network weights for the transportation module. Parameters are distributed via the gRPC protocol, using the Protobuf data serialization format to compress the transmission volume. The distribution frequency is at the beginning of each iteration (only incremental updates are transmitted after the first distribution), and MD5 verification is used to ensure parameter integrity.

[0083] In S53, the parameter settings for local training at each edge node are uniform: batch size is set to 32, training epochs per node are 50, and the Adam optimizer (learning rate 0.001) is used to calculate the gradient of the model parameters. Differential privacy protection employs an ε-differential privacy mechanism, with a privacy budget ε set to 0.1 (balancing privacy and accuracy). The gradient data is perturbed using the Laplace noise addition algorithm, and the noise intensity is calculated according to the formula... calculate( (The value is 0.5 for gradient sensitivity). Local data must meet the sample size requirement of "single node data volume ≥ 1000 records". Port nodes use port throughput and loading and unloading operation data from the past 3 years, while city nodes use regional GDP and population data. Data storage is managed using a local SQLite database with encryption.

[0084] In S54, gradient data is uploaded via a 5G private network or fiber optic communication. Uploads occur within 10 minutes of a single node completing local training, and a fragmented upload + breakpoint resume mechanism is used to avoid transmission interruptions. The federated average algorithm has a clear aggregation logic: first, weights are calculated based on the proportion of node data volume (port nodes 0.4, city nodes 0.3, yard nodes 0.3), and then gradients are aggregated using the following formula: , For global gradient, For the number of nodes, For node weights, For node-local gradients; The formula for updating global model parameters is: , For the current parameter, The aggregation process is implemented using the FederatedAverage API of the TFF framework, which serves as the learning rate.

[0085] In S55, parameter distribution adopts an "incremental update" strategy, distributing only the parts that differ from the local parameters of the node, reducing the transmission bandwidth usage. When each edge node synchronously updates its local model, consistency is ensured by verifying the model version number. The version number is named in the format of "iteration round - timestamp". After the update is completed, a confirmation message is sent back to the central server. If no confirmation is received, the parameter is re-distributed.

[0086] In S56, the evaluation metric for global model prediction error is the root mean square error (RMSE), with a preset threshold of 5%. It also needs to meet the convergence condition that "the error of three consecutive iterations is below the threshold". The local prediction results are output in JSON format, including prediction metrics, confidence intervals, and prediction timestamps. The central server uses a weighted average method for fusion, with the fusion weights being consistent with the federated average weights. After fusion, the consistency test of the prediction results is calculated using Python's scipy library. Finally, the prediction report and GIS visualization layers are output in Excel format.

[0087] The aforementioned S5 step, by clearly defining the edge node deployment scheme, task allocation rules, hardware configuration, software framework, parameter initialization and update logic, privacy protection parameters, and convergence conditions, fully discloses the technical path of distributed collaborative prediction, forming a closed loop with the preceding S1-S4 steps. Those skilled in the art can, based on the disclosed content, accurately reproduce the collaborative prediction process using conventional hardware and software such as Docker, TensorFlow Federated, and 5G communication modules, combined with local data from multiple nodes in the port city, effectively avoiding the problem of insufficient disclosure stipulated in Article 26.4 of the Patent Law.

[0088] The above embodiments are merely preferred technical solutions of the present invention and should not be considered as limitations on the present invention. The scope of protection of the present invention should be limited to the technical solutions described in the claims, including equivalent substitutions of the technical features described in the claims. That is, equivalent substitutions and improvements within this scope are also within the scope of protection of the present invention.

Claims

1. A port city spatial economic interaction prediction system based on the PECAS model, characterized by: include: The macroeconomic forecasting module is used to receive historical regional socioeconomic data and output forecasts of total regional socioeconomic activity and the number of urban and rural households. The spatial development module is used to receive land use-related data and output land use conversion probability and development intensity. The socio-economic activity space allocation module is used to receive the output data from the preceding module and output the multi-level exchange flow space allocation results. The transportation module is used to receive traffic network data and spatial allocation results, and output the road network allocation results for freight demand. The edge computing integration module is used to integrate edge computing nodes, support distributed deployment, and enable multi-node collaborative prediction.

2. The port city spatial economic interaction prediction system based on the PECAS model according to claim 1, characterized in that: The macroeconomic forecasting module achieves adaptive adjustment of forecasting parameters through data preprocessing, improved S-curve modeling, triple exponential smoothing, and LSTM neural network parameter optimization.

3. The port city spatial economic interaction prediction system based on the PECAS model according to claim 1, characterized in that: spatial... The development module solves for the optimal spatial development state and outputs the development probability through spatial state characterization, quantum annealing optimization, blockchain notarization, and smart contract simulation.

4. The port city spatial economic interaction prediction system based on the PECAS model according to claim 1, characterized in that: The socioeconomic activity spatial allocation module outputs multi-dimensional spatiotemporal distribution results by defining multi-level exchange flows, calculating dynamic weights, optimizing nested logit models, and performing parallel computing.

5. The port city spatial economic interaction prediction system based on the PECAS model according to claim 1, characterized in that: The transportation module constructs the transportation network topology, builds an adaptive generalized impedance function, and improves the gradient projection algorithm to solve the freight allocation model.

6. The port city spatial economic interaction prediction system based on the PECAS model according to claim 1, characterized in that: The edge computing integration module achieves data synchronization and model parameter sharing between edge nodes and the central server by deploying edge computing nodes and distributed collaborative prediction.

7. A method for predicting the spatial economic interaction between port cities based on the PECAS model, characterized by: A method for implementing the port city spatial economic interaction prediction system based on the PECAS model as described in any one of claims 1-6 includes: S1. Receive regional socio-economic historical data, combine the improved S-curve method, triple exponential smoothing method and LSTM neural network, dynamically adjust the model parameters, and predict the total amount of regional socio-economic activities and the number of urban and rural households. S2. Receive land use data, introduce quantum annealing algorithm to optimize the space bidding process, combine blockchain and smart contract developer behavior simulation, and output land use conversion probability and space development intensity; S3. Based on the prediction results of step S1 and the spatial development model of step S2, a nested logit model optimized by deep reinforcement learning is adopted, and combined with the dynamic weights of real-time exchange price and traffic disutility, the multi-level exchange flow is allocated to specific spatial units. S4. Based on the spatial allocation results of step S3, a comprehensive transportation network topology is constructed using a graph neural network, and freight demand is intelligently allocated to the comprehensive road network through an adaptive generalized impedance function. S5. Deploy some of the computational tasks from steps S1 to S4 to edge computing nodes. The central server is responsible for global model training and parameter aggregation. The federated learning algorithm is used to aggregate the model updates of each edge node to achieve collaborative optimization of the global model and fusion of prediction results from multiple nodes.

8. The method for predicting the spatial economic interaction of port cities based on the PECAS model according to claim 7, characterized in that: The implementation steps of the improved S-curve method in step S1 include: S11. Collect historical data on regional GDP, population, and port throughput. Clean the data by removing outliers and filling in missing values. Normalize the data using the min-max standardization method. Extract port economic correlation characteristics, time trend characteristics, and seasonal fluctuation characteristics. S12. Construct an improved S-curve model incorporating port economic drivers. The model expression is as follows: ; Where G(t) is the predicted total economic output at time t, K is the upper limit of environmental carrying capacity, A and r are the parameters of the conventional S-curve, B is the port impact factor, and P(t) is the predicted port throughput at time t. S13. A parameter optimization objective function is constructed using the Bayesian optimization algorithm. The goal is to minimize the fitting error of historical data. The prior distributions of parameters K, A, r, and B are initialized. The posterior distributions of the parameters are estimated using a Gaussian process regression model. The parameter values ​​are iteratively updated until the objective function converges. S14. Perform triple exponential smoothing on historical data, calculate the correction coefficients for the trend and seasonal terms, fuse the prediction residuals of the improved S-curve model with the triple exponential smoothing results, and input them into the LSTM neural network. S15. Construct an LSTM neural network containing an input layer, hidden layers, and an output layer. The hidden layer adopts a bidirectional LSTM structure. The network weights are optimized by an adaptive learning rate adjustment algorithm. The mean square error between the predicted value and the actual value is used as the loss function. The network is trained until the loss function converges. The optimized model parameters are output to complete the macroeconomic aggregate prediction.

9. The port city spatial economic interaction prediction method based on the PECAS model according to claim 7, characterized in that: The implementation steps of the quantum annealing algorithm in step S2 to optimize the space bidding process include: S21. Discretize the study area into several grid units according to the preset grid precision, and assign attribute parameters such as land use type, benchmark land price, transportation accessibility, and port influence distance to each grid unit; S22. Define the composite energy function, expressed as: ; in, It is a spatial state vector. For the development revenue of plot i, For the bidding cost of plot i, For the planning constraint penalty term of plot i, This is the penalty coefficient; S23. Encode the attribute parameters of each grid cell into qubit states, construct the initial state space of quantum annealing, and set the initial temperature parameter and the threshold for the number of iterations; S24. Adjust the temperature parameters according to the adaptive temperature decay strategy, realize the state transition through quantum tunneling effect at each temperature, calculate the energy difference before and after the transition, and determine whether to accept the new state according to the Metropolis criterion. S25. Record the energy value and spatial configuration of each state during the iteration process. Stop the annealing process when the temperature drops to the minimum threshold or the energy value does not change after a preset number of iterations. S26. Extract the state combination with the lowest energy as the optimal space development mode, package the space development state transformation process and key parameters into blocks and store them on the blockchain, deploy smart contracts to simulate the decision-making behavior of developers based on the optimal development mode, and output the land use conversion probability and space development intensity.

10. The method for predicting the spatial economic interaction of port cities based on the PECAS model according to claim 7, characterized in that: The implementation steps of the nested logit model optimized by deep reinforcement learning in step S3 include: S31. Define the intelligent agent as a spatial allocation decision-maker. The state space contains multi-dimensional feature vectors of the economic activity level, traffic operation status, and market price level of each region. The action space is the combination of allocation quantities of different types of economic activities in each region. The reward function is the comprehensive efficiency index of spatial allocation. S32. Calculate the real-time exchange price weight and the traffic disutility weight, using the following expression: ; in, Let be the real-time price index at time t. This is the historical average price index. Let t be the real-time traffic disutility index. The historical average traffic negative utility index; S33. Construct a nested logit model, dividing economic activity choices into two levels: region selection and location selection. The utility function incorporates real-time exchange price weights and transportation negative utility weights, expressed as: ; in, Let be the utility value of the i-th type of economic activity at location k in region j. For price-related utility components, For traffic-related utility components, This is the random error term; S34. A deep reinforcement learning network is constructed using the DuelingDQN algorithm. The network includes a value network and an advantage network, which estimate the state value and action advantage value, respectively. The interaction data between the agent and the environment is stored through an experience replay mechanism. S35. Train the network using the stochastic gradient descent algorithm, iteratively update the model parameters, and enable the agent to select the optimal spatial allocation action at each decision step. Optimize the hierarchical structure and utility function parameters of the nested logit model through long-term interactive learning, maximize long-term cumulative rewards, and output the spatial allocation results of the multi-level exchange flow.

11. The port city spatial economic interaction prediction method based on the PECAS model according to claim 7, characterized in that: Step S4, the implementation steps for constructing the integrated transportation network topology and freight allocation based on graph neural networks, include: S41. Abstract road network nodes, port terminals, and logistics parks as graph nodes, and road segments and waterways as graph edges to construct an initial transportation network graph G=(V,E), where V is the set of nodes and E is the set of edges; S42. Construct a graph attention network, calculate the attention weights between nodes through a multi-head attention mechanism, capture the local and global features of nodes, and output the node embedding representation; S43. Construct an adaptive generalized impedance function, the expression of which is: ; in, Let be the generalized impedance of segment ij. For travel time, For travel expenses, For reliability coefficient, Waiting time for port operations, These are weight parameters; S44. Embed the nodes output by the graph neural network into the feature input parameter optimization model, and adjust the weight parameters of the generalized impedance function through the gradient ascent algorithm so that the impedance function can reflect the dynamic characteristics of the traffic network. S45. Establish the optimal freight allocation model of the system, with the goal of minimizing the total impedance of the entire network. Considering the constraints of road segment capacity and freight flow conservation, the improved gradient projection algorithm is used to solve the model. S46. Iteratively calculate the freight flow distribution results for each road segment until the objective function converges, and output the distribution results of freight demand in the integrated road network.

12. The port city spatial economic interaction prediction method based on the PECAS model according to claim 7, characterized in that: The implementation steps of distributed collaborative prediction in step S5 include: S51. Deploy the local data preprocessing and model inference tasks in macroeconomic forecasting, spatial development forecasting, spatial allocation of socio-economic activities, and traffic demand allocation to edge computing nodes in ports, storage yards, and key urban areas. S52. The central server initializes the global model parameters and distributes the initial parameters to each edge computing node; S53. Each edge computing node uses local data to train the model, calculates the gradient of the model parameters, and uses differential privacy technology to protect the privacy of the gradient data. S54. Each edge computing node uploads the processed gradient data to the central server. The central server uses a federated averaging algorithm to aggregate the gradient data of each node and update the global model parameters. S55. The central server distributes the updated global model parameters to each edge computing node, and each node synchronously updates its local model. S56. Repeat steps S53 to S55 until the prediction error of the global model reaches the preset threshold, then stop the iteration. Each edge computing node outputs its local prediction results, and the central server merges the prediction results of each node to output the final prediction result of the port city's spatial economic interaction.