综述Overview

Happiness is humanity's eternal pursuit and the most comprehensive and most fundamental indicator of a region's development quality. Yet the definition of "happiness" has been debated since ancient times: Aristotle called it "the activity of the soul in accordance with virtue" (the highest good); the "Hong Fan" chapter of the Book of Documents summarized it as the "Five Blessings" (longevity, wealth, health and peace, love of virtue, and a good death); Bentham and Mill took "the greatest happiness of the greatest number" as their aim; and Maslow characterized it by the hierarchy of needs while Seligman characterized it by the PERMA model (Positive emotion, Engagement, Relationships, Meaning, Accomplishment).

幸福是人类永恒的追求，也是衡量一个地区发展质量最综合、最根本的指标。然而"幸福"的定义自古以来众说纷纭：亚里士多德称之为"灵魂合乎德性的现实活动"（至善）；《尚书·洪范》归纳为"五福"（长寿、富贵、康宁、好德、善终）；边沁与密尔以"最大多数人的最大幸福"为鹄的；马斯洛以需求层次、塞利格曼以 PERMA 五要素（积极情绪、投入、关系、意义、成就）加以刻画。

Modern social science provides a more measurable framework for happiness: the UN World Happiness Report measures life satisfaction with the Cantril ladder scale, identifying six drivers—GDP per capita, social support, healthy life expectancy, freedom of choice, generosity, and corruption perception; Brookings Institution's happiness research reveals the "happiness paradox"—that happiness is highly subjective and depends on expectations and adaptation rather than absolute income; and CSIS's Global Youth Wellbeing Index measures well-being through six dimensions: civic participation, education, economic opportunity, health, safety, and information and communication technology.

现代社会科学为幸福提供了更可测度的框架：联合国《世界幸福报告》以坎特里尔阶梯量表测量生活满意度，识别出人均 GDP、社会支持、健康寿命、自由选择、慷慨与清廉六项驱动因素；Brookings 研究院的幸福研究揭示"幸福悖论"——幸福高度主观，取决于期望与适应，而非绝对收入；CSIS《全球青年福祉指数》以公民参与、教育、经济机会、健康、安全、信息通信六维衡量福祉。

This index synthesizes the above multiple definitions and constructs a nonlinear multidimensional happiness model to evaluate 31 provincial-level administrative regions nationwide. The model does not use simple linear weighting, but a nonlinear combination of a survival coefficient (health shortcomings), a living index (diminishing marginal returns to income), a contribution index (local production correction), and a subjective public-opinion layer, striving to scientifically capture happiness as a complex, multidimensional, and relative concept.

本指数综合上述多元定义，构建非线性多维幸福模型，对全国 31 个省级行政区进行评价。模型不采用简单线性加权，而以生存系数（健康短板）、生活指数（收入边际递减）、贡献指数（属地生产修正）与主观舆论层的非线性组合，力求科学刻画幸福这一复杂、多维、相对的概念。

The evaluation results show that Zhejiang, Jiangsu, Guangdong, Shanghai, and Hunan rank in the top five. Overall, provinces with balanced living comfort and contribution capacity lead the list; central and western provinces with prominent health shortcomings (high-altitude low oxygen, poor air) or weak contributions rank lower. This ranking is based primarily on official public data and secondarily on approximate values from public knowledge, permanently free and public, for research and reference only.

评价结果：浙江、江苏、广东、上海、湖南位列前五。整体看，生活舒适与贡献能力均衡的省份居前；健康短板突出（高原低含氧、空气差）或贡献偏弱的中西部省份靠后。本排名数据以官方公开数据为主、公开知识近似值为辅，永久免费公开，仅供研究与参考。

分层梯队Tiers

A++ 前三Top 3 A+ 四至十4th–10th A 十一至二十11th–20th B 其余Rest

31 省市幸福指数排名Happiness Index Ranking of 31 Provinces and Cities

排名	省市	幸福指数	生存系数	生活指数	贡献指数	存款(万)	寿命(岁)	梯队
1	浙江Zhejiang	49.05	83.6	42.6	58.7	13	79.83	A++
2	江苏Jiangsu	44.55	70.4	38.1	83.4	9.9	79.19	A++
3	广东Guangdong	38.81	79.2	25.7	81.2	10.2	78.97	A++
4	上海Shanghai	35.84	85.3	37.5	52.5	24	82.55	A+
5	湖南Hunan	34.57	72.4	44.8	26.9	5.3	77.63	A+
6	四川Sichuan	34.39	68.1	37.9	30.9	6.7	77.1	A+
7	辽宁Liaoning	33.25	71.3	46.3	18.3	8.4	78.23	A+
8	福建Fujian	32.77	81.9	39.5	41.1	6.9	78.09	A+
9	北京Beijing	30.23	67.4	42.0	51.3	29	82.43	A+
10	广西Guangxi	29.05	75.6	50.2	11.0	3.6	77.47	A+
11	江西Jiangxi	28.94	71.2	49.9	19.0	4.9	77.12	A
12	山东Shandong	25.81	40.9	44.2	51.2	6.4	79.28	A
13	海南Hainan	25.24	87.4	38.2	7.1	5.8	79.1	A
14	内蒙古Inner Mongolia	24.98	60.4	49.7	22.0	6.2	77.56	A
15	安徽Anhui	24.21	58.8	47.0	27.5	5.4	77.29	A
16	河北Hebei	23.45	50.9	45.9	21.8	6.9	77.15	A
17	吉林Jilin	22.8	70.0	43.7	6.6	7.2	77.34	A
18	黑龙江Heilongjiang	22.72	72.2	42.3	6.2	6.7	77.85	A
19	湖北Hubei	22.38	61.7	37.1	34.5	7.5	77.22	A
20	甘肃Gansu	21.71	51.8	49.5	4.0	4.4	75.83	A
21	天津Tianjin	21.04	57.7	42.6	22.3	11.5	81.79	B
22	重庆Chongqing	21.01	57.8	42.4	22.3	8.4	77.29	B
23	青海Qinghai	21.0	40.1	57.5	3.9	5.1	73.96	B
24	贵州Guizhou	20.85	53.1	52.1	9.2	3.4	74.54	B
25	宁夏Ningxia	19.3	45.2	58.1	6.6	5.5	75.88	B
26	云南Yunnan	17.96	46.7	48.8	14.2	3.8	74.27	B
27	山西Shanxi	16.06	39.2	50.9	17.7	6.3	77.1	B
28	陕西Shaanxi	15.14	41.6	41.9	23.7	7.8	77.01	B
29	河南Henan	15.1	37.3	45.4	29.0	5.0	77.57	B
30	新疆Xinjiang	14.38	38.0	48.3	13.3	5.4	75.68	B
31	西藏Tibet	9.32	21.5	60.3	3.6	5.5	72.19	B

算法详细论述Methodology

一、幸福的多维定义与理论依据

This algorithm does not presuppose a single definition of "happiness," but synthesizes multiple perspectives from ancient and modern times, East and West, mapping them onto four layers of the model:

本算法不预设单一的"幸福"定义，而是综合古今中外的多元视角，将其映射到模型的四个层次：

亚里士多德《尼各马可伦理学》：幸福（eudaimonia）是灵魂合乎德性的现实活动，是人生的终极目的（至善），而非享乐——为"贡献维度"提供哲学依据（德性即价值）。
《尚书·洪范》"五福"：长寿、富贵、康宁、好德、善终——中国最古老的幸福标准，其中"长寿""康宁"为"生存系数（健康）"提供了依据。
马斯洛需求层次理论：生理、安全、归属、尊重、自我实现——为"物质→社会→贡献"的递进结构提供依据。
积极心理学 PERMA（塞利格曼）：积极情绪、投入、关系、意义、成就——"关系"对应社会维度（婚姻），“意义”对应贡献维度。
联合国《世界幸福报告》：以坎特里尔阶梯量表测量生活满意度，识别人均 GDP、社会支持、健康寿命、自由、慷慨、清廉六项驱动因素——本指数的“生存+生活+贡献+舆论”四层结构与之呼应。
Brookings 幸福研究（Carol Graham，2010）："幸福悖论"——穷人可能幸福、富人可能痛苦，幸福取决于适应与期望而非绝对收入——直接决定"收入取对数"的非线性处理。
CSIS《全球青年福祉指数》（2014）：公民参与、教育、经济机会、健康、安全、信息通信六维——为多维框架提供参照。

二、模型的数学结构

The happiness index does not use linear weighting but is composed of four nonlinear components:

幸福指数不采用线性加权，而由四个非线性组件构成：

生存系数 S = (寿命′ × 空气′ × 含氧′)^1/3

The three health elements use geometric mean: any health shortcoming (such as high-altitude low oxygen or short lifespan) will drag down the whole, reflecting the "barrel effect"—health is the hard threshold of happiness (a multiplicative relationship in which every element is indispensable).

健康三要素取几何平均：任何一个健康短板（如高原低含氧、寿命短）都会把整体压低，体现"木桶效应"——健康是幸福的硬门槛（乘法关系，缺一不可）。

生活指数 W = 0.20·log₂(1+收入′) + 0.20·存款′ + 0.20·房价比′ + 0.20·婚姻′ + 0.20·拥堵′

Income is log-transformed: according to the Easterlin paradox and Brookings' happiness paradox, the contribution of income to happiness has diminishing marginal returns—high income does not equal high happiness (offset by high housing prices and involution).

收入取对数：依据 Easterlin 悖论与 Brookings 幸福悖论，收入对幸福的贡献边际递减——高收入不等于高幸福（高房价、内卷抵消）。

贡献指数 C = 0.25·第二产业′ + 0.30·人均GDP′ + 0.20·GDP′ + 0.15·税收′ + 0.10·研发′

The Contribution dimension embodies "virtue is value" and the "altruistic view of happiness": the secondary industry (local production) carries the highest weight because it is the direct vehicle for "creating real value for the country and the nation."

贡献维度体现"德性即价值"与"利他幸福观"：第二产业（属地生产）权重最高，因为它是"给国家和民族创造实物价值"的直接载体。

幸福指数 = 100 × [ S × (0.70·W + 0.30·C) + 0.10·舆论′ ]

The survival coefficient S serves as a multiplier (health is a hard threshold, so poor health discounts the whole); living W and contribution C are added (mutually compensating); and public opinion accounts for only 10% (a fine-tuning of subjective satisfaction that does not override the objective).

生存系数 S 作为乘数（健康是硬门槛，健康差则整体打折）；生活 W 与贡献 C 相加（可互补补偿）；舆论仅占 10%（主观满意度微调，不盖过客观）。

三、指标与权重依据

指标	方向	权重	所属层	依据
平均预期寿命	正向	生存	健康	五福之长寿；世界幸福报告之健康寿命
空气质量	正向	生存	健康	五福之康宁；环境健康
空气含氧量	正向	生存	健康	高原低氧与宜居幸福相悖的地域修正
人均可支配收入	对数	生活 0.20	物质	Easterlin 悖论；边际递减
人均存款	正向	生活 0.20	物质	家底/抗风险能力（存量财富）
房价收入比	反向	生活 0.20	物质	居住成本是生活舒适的核心
婚姻比例	正向	生活 0.20	社会	PERMA 之关系；世界幸福报告之社会支持
交通拥堵	反向	生活 0.20	便利	生活便利/通勤质量
第二产业增加值	正向	贡献 0.25	贡献	属地生产；修正总部经济扭曲
人均 GDP	正向	贡献 0.30	贡献	人均创造价值，公平化中小城市
GDP 总量	正向	贡献 0.20	贡献	经济总产出（国家贡献）
财政收入（税收）	正向	贡献 0.15	贡献	对国家的财政贡献
研发经费	正向	贡献 0.10	贡献	科技创新贡献

四、总部经济修正

China's GDP is calculated by the place of legal registration (headquarters), creating the distortion of "production at the grassroots, statistics at headquarters": the real output of resource-based and production cities with reservoirs, mines, and factories is absorbed by the city where the group headquarters is located, with value added and income recorded at the headquarters rather than the production site.

中国 GDP 按法人注册地（总部）核算，导致"生产在基层、统计在总部"的扭曲：水库、矿山、工厂等资源型、生产型城市的真实产出，被集团总部所在城市吸走，增加值与收入记在总部而非生产地。

Correction method: ① the Contribution dimension centers on the value added of the secondary industry (local production)—where the factories, mines, and water sources are, there the output belongs; ② at the city level, a "local production correction coefficient" is introduced, equal to the secondary industry share ÷ the national average (40%)—the higher the share, the stronger the local production and the more output absorbed by the headquarters, so the contribution is correspondingly raised (industrial cities can reach 1.2-1.5 times), while headquarters and service cities are correspondingly lowered. This correction restores the true contribution of grassroots resource-based and industrial cities.

修正方法：①贡献维度以第二产业增加值（属地生产）为核心，工厂、矿山、水源在哪，产值就归属哪；②城市层面引入"属地修正系数"＝第二产业占比 ÷ 全国均值（40%），占比越高说明属地生产越强、被总部吸走越多，贡献相应上调（工业城市可达 1.2～1.5 倍），总部/服务业城市相应下调。这一修正还原了基层资源型、工业型城市的真实贡献。

五、数据来源与局限性

Income, average life expectancy, GDP, taxes, R&D, and secondary industry value added use official public data (annual data from the National Bureau of Statistics and the Seventh National Population Census); per capita deposits, house-price-to-income ratio, air quality, traffic congestion, marriage ratio, and per capita GDP are approximate values from public knowledge, marked "subject to official figures"; the public-opinion layer uses the "2024 Happiest Cities" selection results from Xinhua's Oriental Outlook Weekly. This model does not include subjective well-being that is hard to quantify (such as a sense of security and freedom), and approximate values contain errors, so the ranking is for research and reference only.

收入、平均预期寿命、GDP、税收、研发、第二产业增加值采用官方公开数据（国家统计局年度数据、第七次全国人口普查）；人均存款、房价收入比、空气质量、交通拥堵、婚姻比例、人均 GDP 为公开知识近似值，标注"以官方为准"；舆论层采用新华社《瞭望东方周刊》"2024 最具幸福感城市"评选结果。本模型不包含难以量化的主观幸福感（如安全感、自由感），且近似值存在误差，排名仅供研究与参考。

六、参考文献

亚里士多德：《尼各马可伦理学》（Eudaimonia 与德性伦理）。
《尚书·洪范》："五福"（长寿、富贵、康宁、好德、善终）。
边沁《道德与立法原理导论》、密尔《功利主义》：最大多数人的最大幸福。
马斯洛《动机与人格》：需求层次理论。
塞利格曼《持续的幸福》：PERMA 模型。
Helliwell, J., Layard, R., & Sachs, J.（编）：《World Happiness Report》，联合国可持续发展解决方案网络（SDSN）。
Graham, C.（2010）："Adaptation amidst Prosperity and Adversity: Insights from Happiness Studies from Around the World"，Brookings Institution。
Goldin, N.（2014）："The Global Youth Wellbeing Index"，CSIS & International Youth Foundation。
Easterlin, R.（1974）："Does Economic Growth Improve the Human Lot? Some Empirical Evidence"，Nations and Households in Economic Growth。
国家统计局：年度国民经济与社会发展统计公报。
国务院第七次全国人口普查领导小组办公室：第七次全国人口普查数据。
新华社《瞭望东方周刊》："2024 最具幸福感城市"调查推选结果。

说明Notes

本版采用非线性多维幸福模型（非简单线性加权），体现指标间"加权+互斥+短板+边际递减"等关系：①生存系数 S=(寿命×空气×含氧)^1/3，健康三要素几何平均，含氧低或寿命短即被整体压低（乘法/短板效应）；②生活指数 W=0.20·log₂(1+收入)+0.20·存款+0.20·房价比+0.20·婚姻+0.20·拥堵，收入取对数体现边际递减（Easterlin 悖论）；③贡献指数 C=0.25·第二产业(属地生产)+0.30·人均GDP+0.20·GDP+0.15·税收+0.10·研发，第二产业按属地生产口径，修正"总部经济"（GDP按法人注册地核算导致资源城市虚低、总部城市虚高）的扭曲；④综合幸福指数=100×[S×(0.70W+0.30C)+0.10×舆论]。数据：收入、寿命、GDP、税收、研发为官方公开数据，其余为公开知识近似值，以官方为准。
This edition adopts a nonlinear multidimensional happiness model (not simple linear weighting), reflecting relationships among indicators such as "weighted + mutually exclusive + short-board + diminishing marginal returns": ① Survival coefficient S=(lifespan×air×oxygen)1/3, the geometric mean of the three health factors, where low oxygen or short lifespan drags down the whole (multiplicative/short-board effect); ② Living index W=0.20·log₂(1+income)+0.20·savings+0.20·housing-price ratio+0.20·marriage+0.20·congestion, with income log-transformed to reflect diminishing marginal returns (the Easterlin paradox); ③ Contribution index C=0.25·secondary industry (local production)+0.30·GDP per capita+0.20·GDP+0.15·tax revenue+0.10·R&D, with secondary industry on a local-production basis, correcting the "headquarters economy" distortion (GDP accounting by legal-registration location makes resource cities appear artificially low and headquarters cities artificially high); ④ Composite happiness index = 100×[S×(0.70W+0.30C)+0.10×public opinion]. Data: income, lifespan, GDP, tax revenue, and R&D are official public data; the rest are public approximate values, subject to official figures.

省市幸福指数Provincial Happiness Index