50 分钟真实数据快照已执行的网页阅读版

比较实际经济增长指标

审计经济体/年度记录,区分不变价水平、重定指数增长及同年比较。

经济与金融 · 第 01 课🔋 离线核心分析⏱ 50 分钟内嵌真实数据📦 numpy · pandas · matplotlib · IPython

目标与运行方法

本课适合具备 Python 基础的本科生。先阅读每一步的方法与图注,再修改参数。AI 练习为可选部分,不需要 AI 账号即可完成核心课程。数据写在 notebook metadata 中,不需要另下载数据文件。请保持 notebook 已保存到当前工作文件夹。

学习任务是理解本课的研究问题、执行透明的计算、校验结果,并说明结论的边界。

环境与参数

In [1] · Python
from pathlib import Path
import base64, gzip, hashlib, json, platform
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from IPython.display import display, HTML
from IPython.display import display as _display
def display(value):
    if isinstance(value,pd.DataFrame):
        table=value.to_html(max_rows=12,escape=True)
        style="<style>.vibeit-readable-table{max-width:100%;overflow-x:auto}.vibeit-readable-table table{width:max-content;max-width:none;border-collapse:collapse}.vibeit-readable-table td,.vibeit-readable-table th{white-space:nowrap!important;word-break:normal!important;overflow-wrap:normal!important}</style>"
        return _display(HTML(style+'<div class="vibeit-readable-table">'+table+'</div>'))
    return _display(value)
RECIPE_ID='ec01-real-growth'
OUTPUT_DIR=Path.cwd()/"results"/RECIPE_ID
plt.rcParams.update({"figure.dpi":120,"font.size":10,"axes.spines.top":False,"axes.spines.right":False,
                      "axes.prop_cycle":plt.cycler(color=["#18785f","#416aa6","#bc6541","#9974a5"])})
print("Python:",platform.python_version(),"; NumPy:",np.__version__,"; Pandas:",pd.__version__)
print("Working folder:",Path.cwd())
print("Core data mode: embedded snapshot; no network requests")
Python: 3.13.13 ; NumPy: 2.5.3 ; Pandas: 3.0.6
Working folder: /Users/zhiluo/Developer/vibeit-cookbook/cookbook/downloads
Core data mode: embedded snapshot; no network requests

读取内嵌快照

In [2] · Python
def load_snapshot(recipe_id, expected_sha256, snapshot_key):
    """Read embedded data from this notebook, including a renamed copy."""
    for path in sorted(Path.cwd().glob("*.ipynb")):
        try:
            notebook = json.loads(path.read_text(encoding="utf-8"))
            metadata = notebook.get("metadata", {}).get("vibeit_cookbook", {})
            blob = metadata.get("snapshots", {}).get(snapshot_key)
            if metadata.get("recipe_id") != recipe_id or not blob:
                continue
            if blob.get("sha256") != expected_sha256:
                continue
            raw = gzip.decompress(base64.b64decode(blob["gzip_base64"], validate=True))
            if hashlib.sha256(raw).hexdigest() != expected_sha256:
                raise ValueError("Embedded snapshot checksum mismatch: " + snapshot_key)
            return json.loads(raw)
        except (OSError, json.JSONDecodeError):
            continue
    raise FileNotFoundError(
        "Save/open the complete .ipynb in the active working folder. "
        "The embedded snapshot could not be located for " + recipe_id)

SNAPSHOT_HASHES={'worldbank': 'd45779250297fb9371748b85b81321b2ae88f93ecf70cfb88256647a68e54376'}
def snapshot(key):
    return load_snapshot(RECIPE_ID,SNAPSHOT_HASHES[key],key)
print("Embedded snapshots:",list(SNAPSHOT_HASHES))
Embedded snapshots: ['worldbank']

方法函数

In [3] · Python
def worldbank_panel(payload):
    """Preserve missing observations; official economy metadata excludes aggregates."""
    economies=pd.DataFrame(payload['economies']).set_index('iso3')
    observations=pd.DataFrame(payload['observations'])
    observations=observations[observations.iso3.isin(economies.index)].copy()
    if observations.duplicated(['iso3','year','indicator']).any():raise ValueError('Duplicate economy/year/indicator observations')
    observations['value']=pd.to_numeric(observations.value,errors='raise')
    wide=observations.pivot(index=['iso3','year'],columns='indicator',values='value').sort_index()
    return wide,economies,observations

print("Method ready: worldbank_panel")
Method ready: worldbank_panel

数据与模型边界

World Bank 记录保留定义、缺失观测及参考年。六个经济体为声明例子,不是全球随机样本。国家均值、价格篮子换算和 Gini 指数描述不同量,调查概念及覆盖可能不同。

分步分析

1. 审计经济体及指标定义

NY.GDP.PCAP.KD 为 2015 不变价美元人均 GDP。用官方经济体 metadata 排除汇总地区;此选择是案例,不是总体调查。

In [4] · Python
wb=snapshot("worldbank");panel,economies,observations=worldbank_panel(wb)
countries=["CHN","USA","DEU","BRA","IND","ZAF"]
assert set(countries)<=set(economies.index)
print("Economy/year records:",len(panel),"; official aggregates excluded; missing values preserved")
display(economies.loc[countries,["name","region","income_group"]])
indicator="NY.GDP.PCAP.KD";levels=panel[indicator].unstack("iso3").reindex(columns=countries)
print("Indicator:",wb["indicators"][indicator]["name"])
assert levels.dropna().gt(0).all().all()
Economy/year records: 3255 ; official aggregates excluded; missing values preserved
name region income_group
iso3
CHN China East Asia & Pacific Upper middle income
USA United States North America High income
DEU Germany Europe & Central Asia High income
BRA Brazil Latin America & Caribbean Upper middle income
IND India South Asia Lower middle income
ZAF South Africa Sub-Saharan Africa Upper middle income
Indicator: GDP per capita (constant 2015 US$)

2. 比较观测不变价水平

缺失年保留空缺。绝对水平较高不意味着增长率较高,跨经济体解释须考虑来源核算及换算约定。

In [5] · Python
fig,ax=plt.subplots(figsize=(9,5))
for code in countries:ax.plot(levels.index,levels[code],marker="o",ms=3,label=economies.loc[code,"name"])
ax.set(xlabel="Indicator year",ylabel="Real GDP per capita (constant 2015 USD)",title="Frozen source levels; missing observations remain missing");ax.legend(fontsize=8);plt.tight_layout();plt.show()
Computed figure from this code cell

3. 区分重定增长与规模

把各自有效 2010 值定为 100。该图比较相对变化,不代表经济体规模或家庭财富;缺失/零基值须明确处理。

In [6] · Python
base=levels.loc[2010];assert base.notna().all() and base.gt(0).all();indexed=100*levels/base
fig,ax=plt.subplots(figsize=(9,5))
for code in countries:ax.plot(indexed.index,indexed[code],label=economies.loc[code,"name"])
ax.set(xlabel="Indicator year",ylabel="Real GDP-per-capita index (2010=100)",title="Relative growth under a common baseline");ax.legend(fontsize=8);plt.tight_layout();plt.show()
Computed figure from this code cell

4. 使用同年截面

声明经济体统一使用 2023。混合最近可得年份会改变比较;经济体均值不提供个人收入完整分布。

In [7] · Python
cross=levels.loc[2023];display(cross.rename("constant_2015_USD").to_frame())
fig,ax=plt.subplots(figsize=(8,4));ax.barh([economies.loc[c,"name"] for c in countries],cross)
ax.set(xlabel="Real GDP per capita (constant 2015 USD)",title="Common reference year: 2023");plt.tight_layout();plt.show()
constant_2015_USD
iso3
CHN 12483.979110
USA 65667.281580
DEU 44368.992007
BRA 9288.027015
IND 2229.714912
ZAF 5756.550495
Computed figure from this code cell

5. 核对并导出水平及变化

变化率使用 fill_method=None,避免缺失观测变成虚构零变化。原水平、重定指数和计算变化率分别导出。

In [8] · Python
growth=100*levels.pct_change(fill_method=None)
assert np.allclose(indexed.loc[2010],100) and growth.loc[2010].isna().all()
OUTPUT_DIR.mkdir(parents=True,exist_ok=True);levels.to_csv(OUTPUT_DIR/"real-GDP-per-capita.csv")
indexed.to_csv(OUTPUT_DIR/"2010-base-index.csv");growth.to_csv(OUTPUT_DIR/"annual-percent-change.csv")
print("Baseline and missing-year checks passed; exports:",OUTPUT_DIR)
Baseline and missing-year checks passed; exports: /Users/zhiluo/Developer/vibeit-cookbook/cookbook/downloads/results/ec01-real-growth

自主练习与参考答案

  1. 区分不变价水平与指数增长。
  2. 为何使用同年截面?

参考解释。 重定消除原水平差。同年避免混合年份;经济体均值不确定个人分布。

先保留当前 notebook 副本,再修改参数。把新图与原图一起比较,并记录改变了哪些输入、哪些计算和哪些结论。

可选的 AI 编程练习

提示词 1

仅用 NumPy、Pandas、Matplotlib 加年度变化并保留缺失。

提示词 2

同包更改有效共同基年,保留原水平。

人工验收。 基期为 100,单位保持 2015 不变价美元,排除汇总。

检查修改后的源代码,再手动运行受影响单元及后续校验。要求助手解释修改的目的、使用的包和数据来源,并用实际输出核对解释。

可选联网扩展

In [9] · Python
RUN_ONLINE_UPDATE=False
if RUN_ONLINE_UPDATE:
    import requests
    try:
        response=requests.get('https://api.worldbank.org/v2/indicator/NY.GDP.PCAP.KD?format=json',timeout=20)
        response.raise_for_status()
        print("Source:",response.url)
        print(response.text[:700])
    except requests.RequestException as error:
        print("Online extension unavailable:",type(error).__name__,str(error)[:160])
else:
    print("Online extension skipped; embedded core data unchanged")
Online extension skipped; embedded core data unchanged

来源、快照与下一步

  • World Bank economy metadata — World Bank CC BY 4.0 with additional terms; retain original indicator attribution; retrieved 2026-10-09. SHA-256 c9acf3932785191a649cbc04c3056af4cf64a236e5c3b49d49be25ddb0440bce. Preserve economy IDs, region and income-group metadata; exclude aggregates in student analyses.

  • World Bank NY.GDP.PCAP.KD — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 59a9efaf20ab359c7832f24da45dda2282511c0eaf927d044583f47d08e02cda. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata NY.GDP.PCAP.KD — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 46689488cd435920647264ede1bfb2d4b51b09800fb36f3d3b1422a0b11ea49d. Preserve indicator definition, source organization and source note.

  • World Bank NY.GDP.MKTP.KD — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 466f4e3176b509613f3df99acffce89b5f1ea14472c376dd10d8b8f67f6172b0. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata NY.GDP.MKTP.KD — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 bc4bc0ffec1755410f52b1091c6b1f46917c7417977102350d3d1102b4659216. Preserve indicator definition, source organization and source note.

  • World Bank SP.POP.TOTL — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 7ecf8d749dbddd87a269f2019e6d42ed32875c57565cf5c5af097c6e6c9af528. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata SP.POP.TOTL — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 2f8491efc00bf2c0995112ff8e87aba69e5e9d22d0880b22f7e3a4ec757ba05c. Preserve indicator definition, source organization and source note.

  • World Bank SP.DYN.LE00.IN — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 d8b5c6bd7fecaf8cee0e422444719ba1f42ec70996308bc74afd14ee48799055. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata SP.DYN.LE00.IN — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 a39cb6fddfbbb953053690366243dffe77a266c4deae79c46ce5a06da9f5fc31. Preserve indicator definition, source organization and source note.

  • World Bank FP.CPI.TOTL — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 55c3b71ad4dd8c92c15fa7dc2b502a3d60f26cf47ae9a24e384bc2ff6108ff56. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata FP.CPI.TOTL — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 13b1e3c4b2b72f7fb3a630b4dde37f0e68e6d5e78dc06b2437dfea0c0b93af46. Preserve indicator definition, source organization and source note.

  • World Bank FP.CPI.TOTL.ZG — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 849b6a88a84a7efdeb92d89e8db1db36f86543e28ff8eb645e0feaa8c634def7. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata FP.CPI.TOTL.ZG — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 df9371a3b6c01e55a3f28991e62e1b1ebbe0cd2a7da94456be9938c7a2962233. Preserve indicator definition, source organization and source note.

  • World Bank SI.POV.GINI — World Bank CC BY 4.0 with additional terms; original sources retained in indicator metadata; retrieved 2026-10-09. SHA-256 4919413d3b9ef06b7445c3fd42d47b8a09e9836bbab7be84e4993099ffdc7ab2. Retain official observations including null values and footnotes, 2010–2024; no interpolation; no aggregate-country mixing.

  • World Bank indicator metadata SI.POV.GINI — World Bank CC BY 4.0 with additional terms; retrieved 2026-10-09. SHA-256 e377bf82b38024748153880ff90c0106a0ef0fd8cb04761146cc60a2609cab3d. Preserve indicator definition, source organization and source note.

下一步。 在保留本课的数据检查、参数记录和结果校验之后,将相同方法用于自己的公开或已获授权数据。记录研究设计与方法限制,不把示例结果当成新实验的验证。完整数据许可与生成说明见 cookbook 网页。