{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Use Cases and Examples for maxent_disaggregation\n", "\n", "The `maxent_disaggregation` package enables statistically sound disaggregation of aggregate data with uncertainty propagation. When disaggregating data (splitting a total into components), the components are naturally correlated. These correlations must be properly accounted for in uncertainty analysis to avoid mis-estimating uncertainty in downstream calculations.\n", "\n", "This notebook demonstrates how to use `maxent_disaggregation` through a simple example in Industrial Ecology." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example: Carbon Footprint of Steel in Vehicle Manufacturing\n", "\n", "### Problem Statement\n", "\n", "An Industrial Ecology researcher has data on total steel consumption for vehicle manufacturing but needs to disaggregate this figure by vehicle type (ICE, BEV, and HBEV) based on production volume proxies. A second researcher will use these disaggregated figures for Life Cycle Assessment (LCA).\n", "\n", "![Figure 1: A diagram of the example](../data/example_steel.png)\n", "\n", "Properly accounting for correlations between the disaggregated values is critical for accurate uncertainty estimation in the LCA." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Available Information\n", "\n", "The first researcher has:\n", "\n", "1. A best estimate for total steel consumption: 100 tonnes/year\n", "2. An uncertainty estimate for that total: standard deviation of 3 tonnes/year\n", "3. A natural lower bound of 0 (no negative consumption)\n", "4. Proxy-based estimates of shares by vehicle type: ICE (80%), BEV (19%), HBEV (1%)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Generating Correlated Samples with maxent_disaggregation\n", "\n", "With the function `maxent_disagg` from the `maxent_disaggregation` package we can generate samples from distributions that use all the available information above, and respect the total mass balance, and hence the statistical correlations between the samples of the individual components (vehicle types)." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# First import necessary libraries\n", "import numpy as np\n", "from maxent_disaggregation import maxent_disagg, plot_samples_hist, plot_covariances\n", "\n", "\n", "# Set parameters\n", "n_samples = 10000 # Number of samples to generate\n", "mean_aggregate = 100 # Best estimate for total\n", "sd_aggregate = np.nan # Standard deviation for total\n", "min_aggregate = 0 # Minimum value for total\n", "shares = [0.8, 0.19, 0.01] # Proxy-based estimates of shares\n", "vehicle_types = [\"ICE\", \"BEV\", \"HBEV\"]" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "# Generate correlated samples\n", "samples, _ = maxent_disagg(\n", " n=n_samples, # Number of samples to generate\n", " mean_0=mean_aggregate, # Mean of the aggregate total\n", " sd_0=sd_aggregate, # Standard deviation of the aggregate total\n", " min_0=min_aggregate, # Lower bound\n", " shares=shares, # Best estimates of the shares\n", " log=True, # Use log-normal distribution for sampling\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `log = TRUE` parameter means we're assuming a log-normal distribution for the aggregate, which is appropriate for quantities that cannot be negative and may be right-skewed. Setting `log = FALSE` would assume a truncated normal distribution (because of `min = 0`). \n", "\n", "The result is a matrix with three columns (one per vehicle type) and 1,000 rows:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(10000, 3)\n" ] } ], "source": [ "print(samples.shape)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing the Distribution of Each Component" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot histograms for each vehicle type and the total\n", "plot_samples_hist(\n", " samples=samples,\n", " legend_labels=vehicle_types + ['Total'],\n", " xlabel=\"Steel Consumption (tonnes)\",\n", " ylabel=\"Frequency\",\n", " title=\"Distribution of Steel Consumption by Vehicle Type\",\n", " # ylim= (0, 0.8), # Uncomment to set y-axis limits, note that this is merely a truncation of the axis and does not change the data\n", " save=False,\n", " filename=None\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Validating the Samples\n", "\n", "Let's verify that our samples are consistent with our input information:\n", "\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean of the sampled total: 100.02317135623029 Input total mean: 100\n", "SD of the sampled total: 3.0242649175616063 Input total SD: 3\n", "Means of the sampled shares: [0.79916673 0.19084782 0.00998545] Input shares: [0.8 0.19 0.01]\n" ] } ], "source": [ "# Check if the total matches our specified mean and SD\n", "sample_total = samples.sum(axis=1,keepdims=True)\n", "print(\"Mean of the sampled total:\", sample_total.mean(), \"Input total mean:\", mean_aggregate)\n", "print(\"SD of the sampled total:\", sample_total.std(), \"Input total SD:\", sd_aggregate)\n", "\n", "# Check if shares match our specified values\n", "sample_shares = np.divide(samples,sample_total)\n", "print(\"Means of the sampled shares:\", sample_shares.mean(axis=0), \"Input shares:\", np.array(shares))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Understanding Correlations in the Sample\n", "\n", "Because the components must sum to the total, they are naturally correlated:\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_covariances(samples=samples,labels=vehicle_types, title=\"Covariance of Steel Consumption by Vehicle Type\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sign and magnitude of correlations depend on the relative uncertainties of the aggregate and shares. With moderate uncertainty in the total (CV = 3%) and high uncertainty in the shares (default Maximum Entropy behavior, see `dirichlet_max_ent` for more details), we observe negative correlations between components.\n", "\n", "If we increase uncertainty in the total while constraining the shares more tightly:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sds above threshold: [0.72159933 0.28279297], sds: [0.008 0.0001], sample_sd: [0.00222721 0.00012828], indices: [0 2]\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/ajakobs/miniconda3/envs/maxent_disag/lib/python3.14/site-packages/maxent_disaggregation/shares.py:475: UserWarning: The generated samples for the shares have a standard deviation that is more than 20.0% different from the specified sd's. Please note that the specified sd's might be incompetibale with the other constraints. Please check your inputs. To surpress this warning you can set a higher threshold_sd.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate correlated samples\n", "samples_2, _ = maxent_disagg(\n", " n=n_samples, # Number of samples to generate\n", " mean_0=mean_aggregate, # Mean of the aggregate total\n", " sd_0=50, # High standard deviation of the aggregate total\n", " min_0=min_aggregate, # Lower bound\n", " shares=shares, # Best estimates of the shares\n", " sds=[0.008, 0.0019, 0.0001], # Very small standard deviations for each share\n", " log=True, # Use log-normal distribution for sampling\n", ")\n", "\n", "plot_covariances(samples=samples_2,\n", " labels=vehicle_types, \n", " title=\"Covariance of Steel Consumption by Vehicle Type \\n with High Aggregate SD and low Share SDs\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With high uncertainty in the total and low uncertainty in the shares, correlations become positive.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Downstream Analysis: LCA of Carbon Footprint\n", "\n", "Let's examine how these correlations impact a downstream LCA calculation. We will look at two cases: 1) where the full correlated samples are used in the the down stream analysis (model 2), and 2) where only the summary statistics are communicated from model 1 to model 2.\n", "\n", "\n", "For simplicity we assume a single emission factor of 2.5 tonnes CO₂ per tonne of steel.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Set emission factor\n", "emission_factor_steel = 2.5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Approach 1: Using Full Samples (With Correlations)\n", "\n", "Here we assume that researcher 1 has shared the full samples of their model and that these are used by researcher 2:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total emissions using the full correlated samples:\n", "Mean emissions: 250.05792839057565 tonnes CO₂\n", "SD emissions: 7.560662293904017 tonnes CO₂\n", "CV emissions: 0.030235643167029327\n" ] } ], "source": [ "# Calculate emissions using correlated samples\n", "sample_emissions_full = samples * emission_factor_steel\n", "total_emissions_full = sample_emissions_full.sum(axis=1)\n", "\n", "print(\"Total emissions using the full correlated samples:\")\n", "print(\"Mean emissions:\", total_emissions_full.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions:\", total_emissions_full.std(), \"tonnes CO₂\")\n", "print(\"CV emissions:\", total_emissions_full.std() / total_emissions_full.mean())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Results with Independent Sampling\n", "\n", "Here we assume that researcher 1 has only shared the summary statistics such as the mean and standard deviation of each sample. We will use two different distributions to sample from: the truncated normal distribution with a lower bound at 0 (naive assumption for the positivity contraint), as well as a gamma distribution as it fits out data better. \n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "from scipy.stats import truncnorm, gamma" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total emissions using the uncorrelated sampling from summary statistics:\n", "Mean emissions (independent): 251.0027547084874 tonnes CO₂\n", "SD emissions (independent): 19.41101798021524 tonnes CO₂\n", "CV emissions (independent): 0.07733388425461324\n" ] } ], "source": [ "means = samples.mean(axis=0)\n", "standard_deviations = samples.std(axis=0)\n", "\n", "# Independent sampling ignoring correlations using truncated normal distribution (lower bound at 0)\n", "independent_samples = (truncnorm.rvs(\n", " loc=means, \n", " scale=standard_deviations,\n", " a=(0 - means) / standard_deviations, # Lower truncation\n", " b=(np.inf - means) / standard_deviations, # Upper truncation\n", " size=(n_samples, len(vehicle_types))\n", "))\n", "\n", "# Calculate emissions using independent samples\n", "sample_emissions_independent = independent_samples * emission_factor_steel\n", "total_emissions_independent = sample_emissions_independent.sum(axis=1)\n", "\n", "print(\"Total emissions using the uncorrelated sampling from summary statistics:\")\n", "print(\"Mean emissions (independent):\", total_emissions_independent.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions (independent):\", total_emissions_independent.std(), \"tonnes CO₂\")\n", "print(\"CV emissions (independent):\", total_emissions_independent.std() / total_emissions_independent.mean())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## now sample from the Gamma distribution instead" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total emissions using the uncorrelated gamma sampling from summary statistics:\n", "Mean emissions (gamma independent): 250.47889082546703 tonnes CO₂\n", "SD emissions (gamma independent): 19.455850763489007 tonnes CO₂\n", "CV emissions (gamma independent): 0.07767461241692333\n" ] } ], "source": [ "means = samples.mean(axis=0)\n", "standard_deviations = samples.std(axis=0)\n", "\n", "shape = (means ** 2) / (standard_deviations ** 2)\n", "scale = standard_deviations ** 2 / means\n", "# Calculate the shape and scale parameters for the gamma distribution\n", "\n", "# Independent sampling ignoring correlations using truncated normal distribution (lower bound at 0)\n", "independent_gamma_samples = (gamma.rvs(\n", " a=shape, \n", " scale=scale,\n", " size=(n_samples, len(vehicle_types))\n", "))\n", "\n", "# Calculate emissions using independent samples\n", "gamma_sample_emissions_independent = independent_gamma_samples * emission_factor_steel\n", "total_emissions_independent_gamma = gamma_sample_emissions_independent.sum(axis=1)\n", "\n", "print(\"Total emissions using the uncorrelated gamma sampling from summary statistics:\")\n", "print(\"Mean emissions (gamma independent):\", total_emissions_independent_gamma.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions (gamma independent):\", total_emissions_independent_gamma.std(), \"tonnes CO₂\")\n", "print(\"CV emissions (gamma independent):\", total_emissions_independent_gamma.std() / total_emissions_independent_gamma.mean())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Distributions\n", "\n", "Let's compare the uncertainty distributions from both approaches:\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "ename": "ModuleNotFoundError", "evalue": "No module named 'seaborn'", "output_type": "error", "traceback": [ "\u001b[31m---------------------------------------------------------------------------\u001b[39m", "\u001b[31mModuleNotFoundError\u001b[39m Traceback (most recent call last)", "\u001b[36mCell\u001b[39m\u001b[36m \u001b[39m\u001b[32mIn[14]\u001b[39m\u001b[32m, line 2\u001b[39m\n\u001b[32m 1\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpandas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mpd\u001b[39;00m\n\u001b[32m----> \u001b[39m\u001b[32m2\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mseaborn\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01msns\u001b[39;00m\n\u001b[32m 3\u001b[39m \u001b[38;5;28;01mimport\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mmatplotlib\u001b[39;00m\u001b[34;01m.\u001b[39;00m\u001b[34;01mpyplot\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[38;5;28;01mas\u001b[39;00m\u001b[38;5;250m \u001b[39m\u001b[34;01mplt\u001b[39;00m\n", "\u001b[31mModuleNotFoundError\u001b[39m: No module named 'seaborn'" ] } ], "source": [ "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Combine results for comparison\n", "comparison_df = pd.DataFrame({\n", " \"Emissions\": np.concatenate([total_emissions_full, total_emissions_independent, total_emissions_independent_gamma]),\n", " \"Approach\": [\"With Correlations\"] * len(total_emissions_full) + [\"Independent Sampling\"] * len(total_emissions_independent) + [\"Independent Gamma Sampling\"] * len(total_emissions_independent_gamma)\n", "})\n", "\n", "# Plot comparison\n", "sns.histplot(data=comparison_df, x=\"Emissions\", hue=\"Approach\", kde=True, bins=50, alpha=0.5)\n", "plt.xlabel(\"Total Emissions (tonnes CO₂)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.title(\"Impact of Correlations on Uncertainty Estimation (negative correlations)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see that in the case of negative correlations we can overestimate the uncertainty by ignoring the correlations. \n", "Now let's see if we use the experiment with postive correlations:" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total emissions using the full correlated samples:\n", "Mean emissions: 247.88606853180337 tonnes CO₂\n", "SD emissions: 123.83199965982558 tonnes CO₂\n", "CV emissions: 0.49955207403653723\n", "Total emissions using the uncorrelated sampling from summary statistics:\n", "Mean emissions (independent): 253.4256903708109 tonnes CO₂\n", "SD emissions (independent): 95.76426726694434 tonnes CO₂\n", "CV emissions (independent): 0.377879082135764\n", "Total emissions using the uncorrelated gamma sampling from summary statistics:\n", "Mean emissions (gamma independent): 246.82765372474316 tonnes CO₂\n", "SD emissions (gamma independent): 101.94207503656577 tonnes CO₂\n", "CV emissions (gamma independent): 0.4130091320733833\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate emissions using correlated samples\n", "sample_emissions_full = samples_2 * emission_factor_steel\n", "total_emissions_full = sample_emissions_full.sum(axis=1)\n", "\n", "print(\"Total emissions using the full correlated samples:\")\n", "print(\"Mean emissions:\", total_emissions_full.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions:\", total_emissions_full.std(), \"tonnes CO₂\")\n", "print(\"CV emissions:\", total_emissions_full.std() / total_emissions_full.mean())\n", "\n", "means_2 = samples_2.mean(axis=0)\n", "standard_deviations_2 = samples_2.std(axis=0)\n", "\n", "# Independent sampling ignoring correlations using truncated normal distribution (lower bound at 0)\n", "independent_samples = (truncnorm.rvs(\n", " loc=means_2, \n", " scale=standard_deviations_2,\n", " a=(0 - means) / standard_deviations_2, # Lower truncation\n", " b=(np.inf - means) / standard_deviations_2, # Upper truncation\n", " size=(n_samples, len(vehicle_types))\n", "))\n", "\n", "# Calculate emissions using independent samples\n", "sample_emissions_independent = independent_samples * emission_factor_steel\n", "total_emissions_independent = sample_emissions_independent.sum(axis=1)\n", "\n", "print(\"Total emissions using the uncorrelated sampling from summary statistics:\")\n", "print(\"Mean emissions (independent):\", total_emissions_independent.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions (independent):\", total_emissions_independent.std(), \"tonnes CO₂\")\n", "print(\"CV emissions (independent):\", total_emissions_independent.std() / total_emissions_independent.mean())\n", "\n", "# Independent sampling ignoring correlations using truncated normal distribution (lower bound at 0)\n", "shape_2 = (means_2 ** 2) / (standard_deviations_2 ** 2)\n", "scale_2 = standard_deviations_2 ** 2 / means_2\n", "# Calculate the shape and scale parameters for the gamma distribution\n", "\n", "independent_gamma_samples = (gamma.rvs(\n", " a=shape_2, \n", " scale=scale_2,\n", " size=(n_samples, len(vehicle_types))\n", "))\n", "\n", "# Calculate emissions using independent samples\n", "gamma_sample_emissions_independent = independent_gamma_samples * emission_factor_steel\n", "total_emissions_independent_gamma = gamma_sample_emissions_independent.sum(axis=1)\n", "\n", "print(\"Total emissions using the uncorrelated gamma sampling from summary statistics:\")\n", "print(\"Mean emissions (gamma independent):\", total_emissions_independent_gamma.mean(), \"tonnes CO₂\")\n", "print(\"SD emissions (gamma independent):\", total_emissions_independent_gamma.std(), \"tonnes CO₂\")\n", "print(\"CV emissions (gamma independent):\", total_emissions_independent_gamma.std() / total_emissions_independent_gamma.mean())\n", "\n", "# Combine results for comparison\n", "# Combine results for comparison\n", "comparison_df = pd.DataFrame({\n", " \"Emissions\": np.concatenate([total_emissions_full, total_emissions_independent, total_emissions_independent_gamma]),\n", " \"Approach\": [\"With Correlations\"] * len(total_emissions_full) + [\"Independent Sampling\"] * len(total_emissions_independent) + [\"Independent Gamma Sampling\"] * len(total_emissions_independent_gamma)\n", "})\n", "\n", "# Plot comparison\n", "sns.histplot(data=comparison_df, x=\"Emissions\", hue=\"Approach\", kde=True, bins=50, alpha=0.5)\n", "plt.xlabel(\"Total Emissions (tonnes CO₂)\")\n", "plt.ylabel(\"Frequency\")\n", "plt.title(\"Impact of Correlations on Uncertainty Estimation (positive correlations)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see from the data and figure above that ignoring positive correlations can lead to underestimation uncertainty in the final result, as well as a (small) bias in the mean value in the case of the truncated normal distribution. That latter result goes to show that one the distribution to sample from is also important: truncated normal distributions have a biased mean and therefore should be used with care!\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Conclusion\n", "\n", "The above examples show why considering proper uncertainty propagation including correlation is important in the case of data disaggregation. Ignoring correlations can lead to **over-/under-estimation of uncertainty**! \n", "The `maxent_disaggregation` package provides a simple interface for generating statistical samples of disaggregated data while properly accounting for correlations, which is crucial for accurate uncertainty propagation in subsequent analyses." ] }, { "cell_type": "markdown", "metadata": {}, "source": [] } ], "metadata": { "kernelspec": { "display_name": "maxent_disag", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.0" } }, "nbformat": 4, "nbformat_minor": 4 }