## 1 Introduction  
In recent years, the increase in carbon dioxide emissions year by year, global climate warming, glacier melting, and other environmental problems have become increasingly serious, bringing serious harm to the health of residents [1; 2; 3; 4; 5; 6]. Among them, fresh agricultural products are one of the pillar industries for people's livelihood, and residents are more inclined to buy products with higher freshness [7; 8]. In order to meet people's growing material and cultural needs, and to improve their life happiness index, how to ensure product freshness, reduce carbon emissions, and achieve further development of the entire supply chain in the fresh agricultural products industry is one of the issues worthy of in-depth research [9; 10].  
The freshness of fresh agricultural products will gradually decline with time, thus, freshness preservation technology (the technology of delaying the decline of freshness of agricultural products and preventing spoilage by physical or chemical methods, thus, as to maintain their good freshness and quality) is required to reduce the decline [11; 12]. At the same time, in order to adapt to the national carbon emission reduction decision (the decision made to reduce the carbon dioxide released to the environment by people in their lives, through production and other activities), operators in the fresh agricultural product industry chain (that is, the functional network chain structure composed of fresh agricultural products as the object, with enterprises or organizations as the core, starting from the production link of fresh agricultural products to the link of reaching consumers) will actively adopt carbon emission reduction technologies, and, under certain conditions, consumers are more inclined to pay for \"low-carbon products\" [13; 14; 15; 16]. However, the production cost and selling price of low carbon fresh agricultural products are high, and the marketing is difficult. In order to attract more consumers, we can promote the sales of goods through low carbon advertising (referring to the activities in which advertisers publicize and disseminate low-carbon agricultural products to the public through certain media or forms with the help of strategies and means of advertising operators) [17]. In this context, it has important academic and application value to study the low-carbon operation management and advertising of fresh agricultural products in the supply chain.  
This paper aims to a solve the problem of the impact of carbon emission reduction and low-carbon advertising on the supply chain of fresh agricultural products. The remaining parts of this paper are organized as follows. Section 2 provides a literature review of fresh agricultural produce supply chains, carbon emission reduction technologies, and advertising decisions. In Section 3, the research questions and associated notations are defined. In Section 4, the models proposed in this study are constructed. In Section 5, the numerical analysis of the proposed model is carried out, the relevant parameters are assigned, and relevant calculation examples are constructed to further verify the correctness and applicability of the theoretical model in this paper. We summarize the conclusions and provide the future research perspective in the last section.