System Dynamics Simulation of the Resilience of Sustainable Food Systems in Urban–Rural Transition Zones Empowered by Digitalization
Abstract
1. Introduction
2. Literature Review and Research Methods
2.1. The Connotation and Conceptual Definition of Key Variables
- (1)
- Sustainable Food Systems: Components of the Objective
- (2)
- Resilience of the Food–Ecology-Coupled System: System Capacity to Cope with Shocks
- (3)
- Food system–landscape resource metabolism synergy: Degree of evolution from disorder to order
- (4)
- Ecological Wisdom Capital of the Food System: Inherent Regulatory and Buffering Mechanism of the System
- (5)
- Digital Technology: An Exogenous Driving Force Empowering the Precise Implementation of NbS
2.2. Theoretical Review of the Relationships Among Key Variables
2.2.1. Principles of Model Variable Screening and Causal Logic Extraction
2.2.2. Core Feedback Loops of Core Feedback
2.3. System Dynamics Modelling Methods and Applicability for System Dynamics Modelling—Demo Dynamics and Applicability Argument
2.3.1. Applicability Analysis
2.3.2. Second-Order Model Construction Logic and Variable Operationalization
3. System Modelling and Simulation
3.1. Model Construction
3.2. Main Model Parameters and Simulation Equations
3.2.1. Main Parameters
3.2.2. Simulation Equations
3.3. Model Results and Analysis
3.4. Sensitivity Analysis of Key Variables
3.4.1. Dimensional Consistency Handling
3.4.2. External Validity Test, Behavioral Consistency Test, and Extreme Condition Test
3.4.3. Sensitivity Analysis of Key Parameters
3.4.4. Comparative Analysis of Policy Intervention Scenarios
4. Conclusions and Implications
4.1. Main Conclusions
4.2. Theoretical Contributions
4.3. Practical Implications
5. Limitations and Future Directions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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| Parameter Type | Core Definition | Determination Method and Source of Key Parameters |
|---|---|---|
| Literature-based parameters | Estimates directly adopted from published empirical studies or determined through comprehensive comparison. | Benchmark improvement rate (0.12) is set at the median of the theoretically reasonable range of synergistic improvement rates in the early stage of NbS implementation. Baseline degradation rate (0.055) is set at the median of the theoretically reasonable range of natural degradation rates under no-intervention conditions. Both are baseline scenario settings, and the influence of their specific values on model conclusions will be tested through sensitivity analysis. Technical Applicability (0.8) is set at a relatively high level to reflect the general assessment that current digital agricultural technologies are fairly applicable in peri-urban areas. |
| Statistically derived parameters | Determined based on publicly available statistical data or typical values from the landscape pattern analysis literature. | The initial value of Habitat Fragmentation Index is set at 0.4, with reference to the fragmentation measurement method proposed by Fahrig (2003) [19] and adopting the median of the range of landscape pattern index values reported in the literature for typical peri-urban areas. The initial value of Cumulative effect of policies (0.16) is converted from the annualized average growth rate of agricultural eco-compensation fiscal expenditures reported for comparable regions. |
| System-endogenous calibration parameters | Stock initial values and rate variables required by the model logic. Precise values cannot be directly obtained from a single literature source, but their reasonable ranges can be constrained through theoretical deduction and empirical analogy. | Following the principle of consistency with the qualitative judgment of the system’s initial state, the core stocks are all placed at the lower end of the 0–1 standardized dimensionless range to reflect the typical characteristic that the peri-urban food system is currently in a transitional stage between fragmentation and synergy. Specifically: Ecological Awareness and Accounting Capability (0.3), Food System Landscape Resource Metabolism Synergy (0.35), urban–rural resource metabolic efficiency (0.35), Food System Ecological Wisdom Capital (0.4), and System Resilience Index (0.35). Benchmark Evolution Rate (0.08) is set at the median of the theoretically reasonable range of synergistic evolution rates. Policy Coupling Degree (0.7) is set at a moderately high level to characterize the general judgment that current ecological protection and food security policies are reasonably compatible at the institutional design level. The impact of such parameters on the model has been verified through sensitivity analysis to ensure that key conclusions do not depend on the precise setting of specific initial values. |
| Level | Variable Name | Properties | Initial Value |
|---|---|---|---|
| Ecological Perception Capability Dimension | Ecological awareness and accounting capability | Stock | 0.3 |
| Rate of capability improvement | Flow | --- | |
| Rate of ability decay | Flow | --- | |
| Accuracy of ecological data | Auxiliary | --- | |
| PES accuracy | Auxiliary | --- | |
| Level of equalization in green infrastructure | Auxiliary | --- | |
| Benchmark improvement rate | Constant | 0.12 | |
| Ecological knowledge sharing | Auxiliary | --- | |
| Intensity of digital technology investment | Auxiliary | --- | |
| Degree of information asymmetry | Auxiliary | --- | |
| Digital penetration rate | Auxiliary | --- | |
| Willingness to invest in digital technology | Auxiliary | --- | |
| Digital technology maturity | Auxiliary | --- | |
| Urban–rural digital divide | Auxiliary | --- | |
| Breadth of digital technology application | Auxiliary | --- | |
| Technical applicability | Constant | 0.8 | |
| Landscape and Metabolism Synergistic Dimension | System synergy level | Stock | 0.35 |
| Coevolution rate | Flow | ||
| Fragmentation degradation rate | Flow | ||
| Benchmark evolution rate | Constant | 0.08 | |
| Baseline degradation rate | Constant | 0.055 | |
| Urban–rural resource metabolic efficiency | Stock | 0.35 | |
| Metabolic optimization rate | Flow | --- | |
| Metabolic loss rate | Flow | --- | |
| Resource consumption intensity | Auxiliary | ||
| Urban–rural resource access gap | Auxiliary | --- | |
| Resource supply stability | Auxiliary | ||
| Conflict of interest | Auxiliary | --- | |
| Urban–rural development gap | Stock | --- | |
| Urban–rural development pressure | Auxiliary | --- | |
| Habitat fragmentation index | Constant | 0.4 | |
| Development promotion factor | Auxiliary | ||
| Policy implementation deviation | Auxiliary | ||
| Policy coordination level | Auxiliary | --- | |
| Cumulative effect of policies | Stock | 0.16 | |
| Policy coupling degree | Constant | 0.7 | |
| Policy effectiveness | Auxiliary | --- | |
| Community engagement | Auxiliary | --- | |
| Ecological Wisdom Capital Dimension | Food system ecological wisdom capital | Stock | 0.4 |
| Capital accumulation efficiency | Flow | --- | |
| Capital depreciation rate | Flow | --- | |
| Ecological restoration rate | Auxiliary | --- | |
| Vegetation restoration rate | Auxiliary | --- | |
| Ecological carrying capacity | Stock | --- | |
| Urban heat island intensity | Auxiliary | --- | |
| Ecological wisdom enhancement | Auxiliary | --- | |
| Ecological wisdom synergy coefficient | Auxiliary | --- | |
| Food system resource pressure | Auxiliary | --- | |
| Climate fluctuation factor | Constant | 0.3 | |
| Investment intensity in ecological restoration | Auxiliary | --- | |
| System resilience index | Stock | 0.35 | |
| Rate of resilience evolution | Flow | --- | |
| Resilience decay rate | Flow | --- |
| Variable Name | Simulation Equation Formula | Programming Basis and Equations |
|---|---|---|
| Capital accumulation efficiency | =Base Cumulative Efficiency * (1 + 0.3 * (SMOOTH3(Digital Technology Penetration Rate, 8)^0.6)) * (1 − 0.18 * (Urban Heat Island Intensity^0.8)) * (1 + 0.4 * (SMOOTH3(System Synergy Level, 8)^0.6)) * (1 + 0.12 * SMOOTH3(Digital Technology Penetration Rate, 8) * SMOOTH3(System Synergy Level, 8)) * Development Promotion Factor | (1) SMOOTH3 (variable, 8)—applies third-order smoothing to the variable, simulating the lag and inertia in the accumulation of ecological wisdom capital in the food system, with a lag period set to 8 years, same below. (2) The digital technology penetration coefficient is 0.3—referencing the elasticity range of digital input contribution to ecological efficiency in existing studies (0.2–0.5), and taking the median value of 0.3 based on the current state of digital agriculture development in the study area. (3) Digital technology penetration rate index 0.6—the power exponent reflects diminishing marginal returns. According to technology diffusion theory, the marginal contribution of technology penetration to the accumulation of food ecological capital is highest in the early stage and decreases in the later stage [57]. |
| Vegetation restoration rate | =0.14 * (1 + 0.4 * Ecological Restoration Investment Intensity/Baseline Investment Intensity) * (1 − 0.3 * Habitat Fragmentation Index) * (1 − 0.2 * Climate Fluctuation Factor) * (1 − 0.2 * Habitat Fragmentation Index * Climate Fluctuation Factor) | (1) Baseline recovery rate 0.14—indicates that under natural, non-intervention conditions, the annual vegetation restoration rate in core grain production areas is approximately 14%. Ecosystem recovery rates vary between 2% and 15% per year; this study adopts 0.14 based on relevant research [58]. (2) Investment-driven coefficient 0.4—for every doubling of investment intensity in ecological restoration for grain production (relative to the baseline), the restoration rate increases by 40%. (3) Smart regulation coefficient 0.3—for each unit increase (after standardization) in grain-ecology smart capital, the restoration rate increases by 30%. (4) Climate fluctuation factor 0.2—for every 0.1 increase in the climate fluctuation factor, the vegetation restoration rate in grain-producing areas decreases by 2%. |
| Coevolution rate | =Benchmark Evolution Rate * (1 − 0.38 * (SMOOTH3(Information Asymmetry Degree, 8)^0.7)) * (1 − 0.28 * (SMOOTH3(Conflict of Interest, 8)^0.8)) * (1 + 0.65 * (SMOOTH3(Digital Technology Empowerment Level, 8)^0.5)) *(1 − System Synergy Level) | (1) SMOOTH3(variable, 8)—Co-evolution is influenced by institutional inertia, interest structures, and technological transmission lags, exhibiting cumulative effects. Institutional change theory [59] points out that institutional synergy requires a long adaptation period, while synergetics [30] emphasizes the time lag in order parameter changes, hence the smoothing treatment. (2) (1 − System Synergy Degree)—The closer the system is to synergy, the slower the evolution rate, showing a trend of convergence toward a steady state, which aligns with the nonlinear evolution of sustainable food systems from fragmentation to synergy. |
| Digital Technology Maturity | =WITH LOOKUP(Policy Cumulative Effect, ([(0, 0.15)−(1, 0.95)], (0, 0.2), (0.1, 0.26), (0.2, 0.33), (0.3, 0.41), (0.4, 0.5), (0.5, 0.6), (0.6, 0.69), (0.7, 0.77), (0.8, 0.83), (0.9, 0.87), (1, 0.9))) | (1) Input variable—cumulative policy effect. (2) Coordinate range—X-axis: 0–1; Y-axis: 0–1. (3) When the cumulative policy effect is in the range of 0–0.3, technology maturity increases from 0.15 to 0.41, indicating a slow start for digital technology in the food system; in the range of 0.3–0.6, it rises from 0.41 to 0.69, signifying rapid breakthroughs in technological innovation and maturity in food ecological governance; in the range of 0.6–1, it increases from 0.69 to 0.9, suggesting that technology is approaching saturation. |
| Community Engagement | =MIN(1, MAX(0, 0.2 * 0.25 + 0.3 * (PES Accuracy^0.6) + 0.25 * (1 − Policy Implementation Deviation^0.7) + 0.15 * (Ecological Wisdom Capital Constraint^0.5) + 0.1 * (PES Accuracy * Ecological Wisdom Capital Constraint) * (1 − Policy Implementation Deviation))) | (1) Baseline constant term 0.05—In the absence of any food-ecological policy intervention or technical support, the baseline level of community participation is 5%. (2) Precision incentive coefficient 0.3—Drawing on empirical research in the field of Payments for Ecosystem Services (PES) regarding the relationship between incentive intensity and participation rates, for every 10% increase in compensation precision, community participation rates rise by approximately 3 percentage points, yielding a coefficient of 0.3 [60]. |
| Degree of information asymmetry | =MIN(1, MAX(0, Basic Asymmetry Degree * (1 − 0.3 * (SMOOTH3(Ecological Perception and Accounting Capability, 5)^0.85)) * (1 − 0.2 * (SMOOTH3(Digital Technology Empowerment Level, 5)^0.95)) * (1 − 0.07 * SMOOTH3(Ecological Perception and Accounting Capability, 5) * SMOOTH3(Digital Technology Empowerment Level, 5)))) | (1) The SMOOTH3 function—third-order exponential smoothing—captures the inertia, delay, and cumulative effects of ecological perception and accounting capabilities, as well as the level of digital technology empowerment, in reducing information asymmetry in the food system. (2) Baseline asymmetry level of 0.88—without technological intervention, there is a high degree of information asymmetry in the food-ecological governance domain. |
| Food System Resource Pressure | =MIN(1, Base Pressure * EXP(−0.5 * Ecological Wisdom Synergy Coefficient)/(1 + 2 * Resource Utilization and Sharing Efficiency)) | (1) Resource pressure characterizes the degree of resource constraints faced by grain production in urban–rural fringe zones. (2) Exponential decay coefficient 0.5—For every one-unit increase in the ecological wisdom synergy coefficient, the resource pressure on the food system is alleviated by a factor of e^{−0.5} ≈ 0.607, reflecting the pressure-reducing effectiveness of collaborative governance. |
| Urban–rural digital divide | =MIN(1, MAX(0, initial gap * (1 − 0.65 * (urban–rural public service coefficient^0.6)/(urban–rural public service coefficient^0.6 + 0.35^0.6)))) | (1) Public service coefficient 0.65—According to conditional convergence theory, relatively underdeveloped regions can catch up with developed regions by improving public services and policy stability [61]. Here, the balanced stock of public services and policy intensity are introduced, affecting the urban–rural digital infrastructure gap, which in turn influences the coverage of smart monitoring facilities in the food system. (2) Initial gap 0.7—The initial digital infrastructure gap between urban and rural areas in developing countries is generally between 50% and 100% [62]. This paper references and adopts a value of 0.7. |
| Resource consumption intensity | =MIN(1, MAX(0.05, Base Consumption Intensity * (1 + 0.7 * (Urban–Rural Development Gap^0.4)) * (1 − 0.4 * (Digital Technology Maturity^0.4)) * (1 − 0.3 * (Ecological Wisdom Capital Constraint^0.5)) * (1 + 0.4 * (Policy Implementation Deviation^0.6)) * (1 − 0.2 * Digital Technology Maturity * Ecological Wisdom Capital Constraint) + SMOOTH(Random Fluctuation, 1))) | (1) Resource consumption intensity characterizes the level of consumption in the resource metabolism process of the food system, covering key elements such as water, energy, and biomass. (2) The driving coefficient of urban–The Environmental Kuznets Curve (EKC) hypothesis suggests that in the early stages of economic development, resource consumption and environmental pressure increase with rising income [63]. Drawing on this theoretical framework, this study hypothesizes that during periods of uneven urban–rural development, the resource metabolism intensity of the food system may also increase. Accordingly, this paper sets the driving coefficient of the urban–rural development gap at 0.7, indicating that the maximum amplification effect of this gap on consumption intensity is 70%. (3) The interaction between digital technology maturity and food-ecological smart capital can reduce the resource metabolism loss of the food system. |
| Convergence driving force | =(0.02 + 0.1 * (System Resilience Index^0.5) * (Ecological Awareness and Accounting Capability^0.6) * (Digital Technology Maturity^0.7)) * (Cumulative effect of policies^2) | (1) System resilience index 0.5—The contribution of food system resilience to narrowing the urban–rural development gap follows a law of diminishing marginal returns. Using an index of 0.5 means that when the resilience level is low, its improvement has a very significant promoting effect on convergence; however, as the resilience level continues to increase, the additional convergence benefits brought by further enhancement gradually weaken. This aligns with the development laws of most systems—the improvement effect from “fragile” to “having basic resilience” is most pronounced, while the upgrade from “good” to “excellent” is more difficult and yields lower marginal benefits. This is consistent with the nonlinear response characteristics of systems when facing disturbances, as proposed by Holling (1973) in the theory of ecosystem resilience [29]. |
| Urban–rural development pressure | =MIN(1, MAX(0.05,Basic pressure * (0.8 + 0.5 * Development Promotion Factor)/(1 + 2 * synergistic inhibition coefficient^0.8))) | (1) The power exponent reflects the diminishing marginal effect. (2) Excessive pressure from urban and rural development can squeeze investments in ecological restoration and digitalization of the food system; this equation is used to characterize the transmission of such pressure. |
| Ecological restoration rate | Vegetation restoration rate * IF THEN ELSE (Ecological Wisdom Capital Constraints > 0.6, 0.05 + 0.2 * (1 − EXP(−5 * (Ecological Wisdom Capital Constraints − 0.6))), 0.05 * (Ecological Wisdom Capital Constraints/0.6)) | (1) When the ecological wisdom capital constraint of the food system is ≤0.6: The restoration rate increases linearly, indicating the stage of quantitative accumulation in the ecological restoration of the food system. (2) When the ecological wisdom capital constraint of the food system is >0.6: It enters the stage of qualitative leap, with the restoration rate accelerating. The formula is 0.05 + 0.2 * (1 − EXP(−5 * (constraint-0.6))), strengthening the ecological foundation restoration of the sustainable food system. |
| Simulation Label | Core Variable | Main Trend Description | Involved Core Feedback Loops (see Section 2.2.2) |
|---|---|---|---|
| A | Ecological Awareness and Accounting Capability | Steady upwards trend driven by the accumulation of ecological perception capabilities and the maturation of digital technology, exhibiting sustained growth. | R1; R4 |
| B | Digital Technology Maturity | Gradually increases, coevolving with Food System Ecological Wisdom Capital in a mutually reinforcing manner. | R1 |
| C | Food System Ecological Wisdom Capital | Steady accumulation, continuously enhancing the overall resilience of the peri-urban food system. | R2; R4 |
| D | System Resilience Index | Overall steady upwards trend, reflecting the evolutionary characteristics of multifactor positive synergy and mutual reinforcement. | R2; R4 |
| E | Urban–Rural Development Pressure | Fluctuating trajectory: rising continuously in the early stage, peaking around year 15, then gradually declining. | R2; R3 |
| F | Ecological Carrying Capacity | Rapid initial increase, followed by steady growth after a short-term adjustment phase, and eventually approaching saturation. | R4; R3 |
| G | Food System Landscape Resource Metabolism Synergy | U-shaped evolutionary trajectory with three phases of decline–trough–rise, with growth decelerating in the later stage. | R1; R2; R4 |
| H | Urban–Rural Development Gap | Inverted U-shaped evolution: continuously expands in the early stage and peaks around year 16, then steadily declines and converges to a low steady-state level. | R2; R3; R4 |
| Scenario | Parameter Changed | Parameter Value | Ecological Wisdom Capital (End Period) | Carrying Capacity Steady-State Value (End Period) | System Synergy Degree (End Period) | Phase Transition Successful |
|---|---|---|---|---|---|---|
| Base | None | Baseline | 3.25998 | 1.21715 | 0.824819 | Yes |
| S1 | Basic Accumulation Efficiency | 0.049 (−30%) | 2.17861 | 1.21539 | 0.824783 | Yes |
| S2 | Basic Accumulation Efficiency | 0.091 (+30%) | 4.33341 | 1.21847 | 0.824836 | Yes |
| S3 | Baseline Loss Rate | 0.021 (−30%) | 3.46605 | 1.21743 | 0.824824 | Yes |
| S4 | Baseline Loss Rate | 0.039 (+30%) | 3.05109 | 1.21684 | 0.824813 | Yes |
| S5 | Digital Divide | 0.56 (−20%) | 3.25994 | 1.21705 | 0.824334 | Yes |
| S6 | Digital Divide | 0.84 (+20%) | 3.25999 | 1.21723 | 0.825162 | Yes |
| Scenario | System Synergy Degree (Year 50) | Exceeds 0.7 | Difference from Baseline Scenario |
|---|---|---|---|
| Baseline Scenario | 0.824819 | Yes | ---- |
| Scenario without Digital Technology Empowerment N | 0.782088 | Yes | −0.0427 (approx. 5.2%) |
| High-Investment Accelerated Scenario H | 0.825701 | Yes | +0.0009 (approx. 0.1%) |
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Shao, T.; Tong, S.; Wu, H.; Ji, Y. System Dynamics Simulation of the Resilience of Sustainable Food Systems in Urban–Rural Transition Zones Empowered by Digitalization. Land 2026, 15, 1546. https://doi.org/10.3390/land15091546
Shao T, Tong S, Wu H, Ji Y. System Dynamics Simulation of the Resilience of Sustainable Food Systems in Urban–Rural Transition Zones Empowered by Digitalization. Land. 2026; 15(9):1546. https://doi.org/10.3390/land15091546
Chicago/Turabian StyleShao, Tianshu, Simiao Tong, Huabin Wu, and Yanshu Ji. 2026. "System Dynamics Simulation of the Resilience of Sustainable Food Systems in Urban–Rural Transition Zones Empowered by Digitalization" Land 15, no. 9: 1546. https://doi.org/10.3390/land15091546
APA StyleShao, T., Tong, S., Wu, H., & Ji, Y. (2026). System Dynamics Simulation of the Resilience of Sustainable Food Systems in Urban–Rural Transition Zones Empowered by Digitalization. Land, 15(9), 1546. https://doi.org/10.3390/land15091546
