Update SMC-ABC_Lotka-Volterra_example.ipynb

Added the time array to the plots to correctly represent the independent variable in 2 plots.

examples/samplers/SMC-ABC_Lotka-Volterra_example.ipynb

@@ -456,8 +456,8 @@
     "# plotting observed data.\n",
     "observed = add_noise(a, b)\n",
     "_, ax = plt.subplots(figsize=(12, 4))\n",
-    "ax.plot(observed[:, 0], \"x\", label=\"prey\")\n",
-    "ax.plot(observed[:, 1], \"x\", label=\"predator\")\n",
+    "ax.plot(t,observed[:, 0], \"x\", label=\"prey\")\n",
+    "ax.plot(t,observed[:, 1], \"x\", label=\"predator\")\n",
     "ax.set_xlabel(\"time\")\n",
     "ax.set_ylabel(\"population\")\n",
     "ax.set_title(\"Observed data\")\n",
@@ -603,8 +603,8 @@
     "# plot results\n",
     "_, ax = plt.subplots(figsize=(14, 6))\n",
     "posterior = idata_lv.posterior.stack(samples=(\"draw\", \"chain\"))\n",
-    "ax.plot(observed[:, 0], \"o\", label=\"prey\", c=\"C0\", mec=\"k\")\n",
-    "ax.plot(observed[:, 1], \"o\", label=\"predator\", c=\"C1\", mec=\"k\")\n",
+    "ax.plot(t,observed[:, 0], \"o\", label=\"prey\", c=\"C0\", mec=\"k\")\n",
+    "ax.plot(t,observed[:, 1], \"o\", label=\"predator\", c=\"C1\", mec=\"k\")\n",
     "ax.plot(competition_model(None, posterior[\"a\"].mean(), posterior[\"b\"].mean()), linewidth=3)\n",
     "for i in np.random.randint(0, size, 75):\n",
     "    sim = competition_model(None, posterior[\"a\"][i], posterior[\"b\"][i])\n",