Urban scaling laws assume that the performance of a city largely relies on its urban population size. However, two cities with the same population size may have vastly different economic outputs, which reveals that factors apart from urban size (a measurement of intra-urban interactions) determine their economic outputs. Economic production is essentially the product of social interactions. Urban population size and interurban interactions reflected by population mobility were both considered to evaluate the scaling of urban economic outputs in this paper. We quantified the scaling relationship between urban economic outputs and interurban interactions, and compared it with the paradigm derived from urban size. Results showed that urban economic outputs scale with urban interactions across cities and present the same super-linear scaling regimes but with a greater scaling exponent. A deeper looking showed that interurban interactions definitely bring a more obvious super-linearity than population size but the scaling relationship between urban size and economic outputs is more robust. Urban population size has a greater impact on Gross Domestic Product (GDP), secondary and tertiary industries output products, total retail sales of consumer goods and total wage with 60– 65% relative contribution. For exports, interurban interactions and urban population size are almost equally important. We also proved that interactions between cities are significantly positively correlated with urban extra growth. These findings provide convictive evidence that in addition to population size, interurban interaction is also crucial for exploring the scaling of urban growth. Our results are enlightening to the study of mechanisms and evolutions of urban scaling that interurban interaction besides urban population size should both be a vital consideration to urban economic outputs.

城市规模定律假设城市的表现在很大程度上取决于其城市人口规模。但是，人口规模相同的两个城市的经济产出可能大不相同，这表明，除了城市规模（对城市内部相互作用的度量）以外的因素决定了它们的经济产出。经济生产本质上是社会互动的产物。本文都考虑了城市人口规模和人口流动所反映的城市间互动，以评估城市经济产出的规模。我们量化了城市经济产出与城市间互动之间的比例关系，并将其与源自城市规模的范式进行了比较。结果表明，城市经济产出随着城市间城市间相互作用而扩展，并呈现出相同的超线性扩展机制，但具有更大的扩展指数。更深入的研究表明，城市间的互动无疑带来了比人口规模更为明显的超线性，但城市规模与经济产出之间的比例关系更为稳健。城市人口规模对国内生产总值（GDP），第二和第三产业的产出产品，消费品的零售总额和总工资有较大的影响，相对贡献为60-65％。对于出口而言，城际互动和城市人口规模几乎同等重要。我们还证明了城市之间的互动与城市额外增长显着正相关。这些发现提供了有力的证据，表明除了人口规模之外，城市间的互动对于探索城市增长的规模也至关重要。我们的研究结果对研究城市规模的机理和演化过程具有启发性，认为城市人口规模以外的城市间互动都应是对城市经济产出的重要考虑。