diff --git a/docs/tutorials/notebooks/02_SI_wbirths_logistic_growth.ipynb b/docs/tutorials/notebooks/02_SI_wbirths_logistic_growth.ipynb index 105645f..c41311d 100644 --- a/docs/tutorials/notebooks/02_SI_wbirths_logistic_growth.ipynb +++ b/docs/tutorials/notebooks/02_SI_wbirths_logistic_growth.ipynb @@ -6,7 +6,7 @@ "source": [ "# SI model with constant-population demographics\n", "\n", - "Building up from the SI model without demography, we next explore the addition of basic demographics - adding a birth rate & an equivalent, age-independent mortality rate $\\mu$ to keep constant total population. The disease model remains the SI model.\n", + "Building up from the SI model without demography, we next explore the addition of basic demographics - adding a birth rate & an equivalent, age-independent mortality rate μ to keep constant total population. The disease model remains the SI model.\n", "\n", "$$\n", "\\dot{S} = -\\frac{\\beta*S*I}{N} + \\mu N - \\mu S\n", @@ -36,7 +36,7 @@ "\n", "## Sanity check\n", "\n", - "The first test ensures certain basic constraints are being obeyed by the model. We confirm that at each timestep, $S_t=N_t-I_t$.\n", + "The first test ensures certain basic constraints are being obeyed by the model. We confirm that at each timestep, Sₜ = Nₜ - Iₜ.\n", "\n", "## Scientific test\n", "\n", @@ -53,9 +53,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "np.__version__='2.2.6'\n", - "laser.core.__version__='0.8.0'\n", - "laser.generic.__version__='0.0.0'\n" + "np.__version__='2.4.6'\n", + "laser.core.__version__='1.0.2'\n", + "laser.generic.__version__='1.1.0'\n" ] } ], @@ -83,24 +83,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "1,000,000 agents in 1 node(s): 100%|██████████| 730/730 [00:00<00:00, 770.66it/s] \n" + "1,000,000 agents in 1 node(s): 0%| | 0/730 [00:00" ] @@ -162,6 +166,7 @@ "N = model.nodes.S + model.nodes.I\n", "plt.plot(N - model.nodes.S, \"--\", lw=3)\n", "plt.yscale(\"log\")\n", + "plt.ylabel('N'); plt.xlabel('Time (days)')\n", "plt.legend([\"Population minus currently infected\", \"Susceptible\", \"Population minus cumulative infections (incidence)\"])\n", "\n", "print(\"S = N-I: \" + str(np.isclose(model.nodes.S, N - model.nodes.I).all()))" @@ -171,7 +176,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "The below plot shows the model output, the expected logistic growth curve, and the expected logistic growth curve fit to the model with a free offset $t_0$ to account for stochasticity in when the outbreak takes off. The resulting plot should show good concordance between the model output and the expected logistic equation with the known model inputs $\\beta$ and population.\n", + "The below plot shows the model output, the expected logistic growth curve, and the expected logistic growth curve fit to the model with a free offset t₀ to account for stochasticity in when the outbreak takes off. The resulting plot should show good concordance between the model output and the expected logistic equation with the known model inputs β and population.\n", "The goodness of this fit could be turned into a strict pass/fail test down the line." ] }, @@ -182,7 +187,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -212,6 +217,7 @@ "plt.plot(SI_logistic(t, model.params.beta, pop, model.params.cbr, 0), lw=3)\n", "plt.plot(SI_logistic(t, model.params.beta, pop, model.params.cbr, t0_opt), \"r:\", lw=3)\n", "plt.yscale(\"log\")\n", + "plt.ylabel('Cases'); plt.xlabel('Time (days)')\n", "plt.legend([\"Model output\", \"Logistic growth with known inputs, t0=0\", f\"Logistic growth with known inputs, best-fit t0 = {t0_opt:.1f}\"])\n", "plt.show()" ] @@ -230,23 +236,30 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "SI Model 1 of 10 (beta=0.01000, cbr= 35): 100%|██████████| 1825/1825 [00:01<00:00, 1794.48it/s]\n", - "SI Model 2 of 10 (beta=0.01500, cbr= 39): 100%|██████████| 1825/1825 [00:00<00:00, 2490.88it/s]\n", - "SI Model 3 of 10 (beta=0.02000, cbr= 44): 100%|██████████| 1825/1825 [00:00<00:00, 2423.67it/s]\n", - "SI Model 4 of 10 (beta=0.02500, cbr= 36): 100%|██████████| 1825/1825 [00:00<00:00, 2585.27it/s]\n", - "SI Model 5 of 10 (beta=0.03000, cbr= 24): 100%|██████████| 1825/1825 [00:00<00:00, 2550.20it/s]\n", - "SI Model 6 of 10 (beta=0.03500, cbr= 20): 100%|██████████| 1825/1825 [00:00<00:00, 2560.97it/s]\n", - "SI Model 7 of 10 (beta=0.04000, cbr= 43): 100%|██████████| 1825/1825 [00:00<00:00, 2466.55it/s]\n", - "SI Model 8 of 10 (beta=0.04500, cbr= 43): 100%|██████████| 1825/1825 [00:00<00:00, 2597.58it/s]\n", - "SI Model 9 of 10 (beta=0.05000, cbr= 24): 100%|██████████| 1825/1825 [00:00<00:00, 2605.91it/s]\n", - "SI Model 10 of 10 (beta=0.05500, cbr= 30): 100%|██████████| 1825/1825 [00:00<00:00, 2611.21it/s]\n" + "SI Model 1 of 10 (beta=0.01000, cbr= 35): 0%| | 0/1825 [00:00" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", 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", 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", - "text/plain": [ - "
" + "
" ] }, "metadata": {}, @@ -358,22 +330,29 @@ } ], "source": [ - "plt.figure()\n", - "plt.plot(output[\"beta\"], output[\"fitted_beta\"], \"o\")\n", - "plt.xlim(0.00, 0.06)\n", - "plt.ylim(0.00, 0.06)\n", - "plt.figure()\n", - "plt.plot(output[\"beta\"], (output[\"beta\"] - output[\"fitted_beta\"]) / output[\"fitted_beta\"], \"o\")\n", - "plt.xlim(0.00, 0.06)\n", - "plt.ylim(-0.1, 0.10)\n", - "plt.figure()\n", - "plt.plot(output[\"cbr\"], output[\"fitted_cbr\"], \"o\")\n", - "plt.xlim(15, 50)\n", - "plt.ylim(15, 50)\n", - "plt.figure()\n", - "plt.plot(output[\"cbr\"], (output[\"cbr\"] - output[\"fitted_cbr\"]) / output[\"fitted_cbr\"], \"o\")\n", - "plt.xlim(15, 50)\n", - "plt.ylim(-0.2, 0.2)" + "fig, axes = plt.subplots(2, 2, figsize=(10, 8))\n", + "\n", + "ax = axes[0, 0]\n", + "ax.plot(output[\"beta\"], output[\"fitted_beta\"], \"o\")\n", + "ax.plot([0, 0.06], [0, 0.06], '--k')\n", + "ax.set(xlabel=\"beta\", ylabel=\"fitted beta\", xlim=[0, 0.06], ylim=[0, 0.06])\n", + "\n", + "ax = axes[0, 1]\n", + "ax.plot(output[\"beta\"], (output[\"beta\"] - output[\"fitted_beta\"]) / output[\"fitted_beta\"], \"o\")\n", + "ax.axhline(0, color='k', ls='--')\n", + "ax.set(xlabel=\"beta\", ylabel=\"relative error\", xlim=[0, 0.06], ylim=[-0.1, 0.1])\n", + "\n", + "ax = axes[1, 0]\n", + "ax.plot(output[\"cbr\"], output[\"fitted_cbr\"], \"o\", color='C1')\n", + "ax.plot([15, 50], [15, 50], '--k')\n", + "ax.set(xlabel=\"birth rate\", ylabel=\"fitted birth rate\", xlim=[15, 50], ylim=[15, 50])\n", + "\n", + "ax = axes[1, 1]\n", + "ax.plot(output[\"cbr\"], (output[\"cbr\"] - output[\"fitted_cbr\"]) / output[\"fitted_cbr\"], \"o\", color='C1')\n", + "ax.axhline(0, color='k', ls='--')\n", + "ax.set(xlabel=\"birth rate\", ylabel=\"relative error\", xlim=[15, 50], ylim=[-0.2, 0.2])\n", + "\n", + "plt.tight_layout()" ] }, { @@ -385,16 +364,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "All fitted beta are within 10% of known beta: False\n", - "All fitted CBR are within 10% of known CBR: False\n" + "All fitted beta are within 10% of known beta\n", + "All fitted CBR are within 10% of known CBR\n" ] } ], "source": [ - "print(\n", - " r\"All fitted beta are within 10% of known beta: \" + str(np.all(np.abs((output[\"beta\"] - output[\"fitted_beta\"]) / output[\"beta\"]) < 0.10))\n", - ")\n", - "print(r\"All fitted CBR are within 10% of known CBR: \" + str(np.all(np.abs((output[\"cbr\"] - output[\"fitted_cbr\"]) / output[\"cbr\"]) < 0.10)))" + "if np.all(np.abs((output[\"beta\"] - output[\"fitted_beta\"]) / output[\"beta\"]) < 0.10):\n", + " print(r'All fitted beta are within 10% of known beta')\n", + "else:\n", + " raise RuntimeError('Error estimating beta')\n", + "if np.all(np.abs((output[\"cbr\"] - output[\"fitted_cbr\"]) / output[\"cbr\"]) < 0.10):\n", + " print(r'All fitted CBR are within 10% of known CBR')\n", + "else:\n", + " raise RuntimeError('Error estimating CBR')" ] }, { @@ -404,187 +387,6 @@ "outputs": [ { "data": { - "application/vnd.microsoft.datawrangler.viewer.v0+json": { - "columns": [ - { - "name": "index", - "rawType": "int64", - "type": "integer" - }, - { - "name": "seed", - "rawType": "int64", - 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"-41.963302753035734", - "[ 9 9 11 ... 10 12 9]" - ], - [ - "2", - "44", - "0.02", - "44", - "[ 5 5 5 ... 99369 99376 99382]", - "0.019904675671155052", - "99999.97658300426", - "44.884176725794674", - "-55.13053432985219", - "[11 10 14 ... 14 9 15]" - ], - [ - "3", - "45", - "0.025", - "36", - "[ 5 5 5 ... 99571 99571 99574]", - "0.024764865390763183", - "100000.95133568959", - "36.60554145729241", - "-84.48683529356255", - "[11 6 12 ... 10 7 12]" - ], - [ - "4", - "46", - "0.030000000000000002", - "24", - "[ 5 5 5 ... 99762 99761 99756]", - "0.029833709559404006", - "100000.05710336893", - "23.66975274698669", - "-50.351107675332656", - "[ 8 5 10 ... 9 10 6]" - ], - [ - "5", - "47", - "0.034999999999999996", - "20", - "[ 5 5 5 ... 99834 99836 99837]", - "0.034822741001255576", - "100000.25380905205", - "20.09909851342764", - "-36.22443604313162", - "[6 4 8 ... 4 4 4]" - ], - [ - "6", - "48", - "0.04", - "43", - "[ 5 5 5 ... 99696 99696 99700]", - "0.04697549059391593", - "99999.50514532329", - "49.318404282329844", - "-3.509135402452607", - "[12 9 13 ... 10 13 15]" - ], - [ - "7", - "49", - "0.045", - "43", - "[ 5 5 5 ... 99723 99720 99716]", - "0.044259217135935496", - "99999.15303189185", - "41.94537376928897", - "-43.982683705877506", - "[12 9 11 ... 10 12 15]" - ], - [ - "8", - "50", - "0.049999999999999996", - "24", - "[ 5 5 5 ... 99876 99883 99877]", - "0.04963676670470756", - "100000.78162107404", - "23.78970380806297", - "-34.96347696267801", - "[ 8 6 8 ... 3 10 6]" - ], - [ - "9", - "51", - "0.055", - "30", - "[ 5 5 5 ... 99852 99851 99849]", - "0.05433890404657117", - "100000.69198614384", - "29.663587611994227", - "-28.076344422429116", - "[ 9 9 9 ... 8 6 12]" - ] - ], - "shape": { - "columns": 9, - "rows": 10 - } - }, "text/html": [ "
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