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417, 443, 469, 511, 530, 554, 575, 602], 'by': [123, 146, 173, 195, 222, 242, 265, 286, 308, 331, 350, 375, 399, 418, 444, 470, 512, 531, 555, 576, 603, 710, 795, 870, 900, 1082, 1127, 1219, 1407, 2174, 2179, 2267, 2341, 2413, 2422, 2467, 2472, 2510, 2542, 2566, 2607, 2763, 2811, 2818, 2854, 2923, 2990, 3178, 3353, 3374, 3463, 3536, 3558, 3619, 3698, 3780, 3801, 3814, 3979, 4047, 4217, 4285, 4410], 'this': [124, 147, 174, 196, 223, 243, 266, 287, 309, 332, 351, 376, 400, 419, 445, 471, 513, 532, 556, 577, 604, 660, 987, 1004, 1137, 1224, 1282, 2224, 2562, 2942, 3047], 'author': [125, 148, 175, 197, 224, 244, 267, 288, 310, 333, 352, 377, 401, 420, 446, 472, 514, 533, 557, 578, 605], ',': [126, 149, 176, 198, 225, 245, 268, 289, 311, 334, 353, 378, 402, 421, 447, 473, 515, 534, 558, 579], 'Bell': [129], 'Forestry': [132], 'Studies,': [135], 'Yale': [136], 'University,': [137, 188, 215, 258, 299, 483, 492, 524], 'New': [138], 'Haven,': [139], 'Connecticut,': [140], 'USA': [141, 394, 550], 'Coelho': [155], 'Institute': [156, 233, 253, 358, 450, 561], 'Advanced': [158, 360], 'Studies': [159, 361], 'at': [160, 362, 796, 871, 901, 1116, 1128, 1636, 1671, 1734, 1760, 1768, 1890, 1986, 2087, 2520, 2732, 2741, 2999, 3073, 3090, 3101, 3260, 3354, 3464, 3491, 3537, 3986, 4224, 4411], 'the': [161, 363, 664, 762, 769, 787, 848, 924, 930, 967, 980, 1010, 1019, 1036, 1043, 1086, 1092, 1111, 1119, 1179, 1229, 1250, 1261, 1276, 1285, 1336, 1344, 1356, 1413, 1416, 1447, 1533, 1587, 1604, 1637, 1646, 1651, 1672, 1715, 1728, 1735, 1756, 1775, 1906, 1918, 1926, 1945, 2014, 2043, 2071, 2099, 2149, 2184, 2187, 2211, 2230, 2263, 2288, 2303, 2320, 2335, 2338, 2343, 2348, 2375, 2440, 2446, 2485, 2504, 2536, 2579, 2618, 2670, 2686, 2719, 2783, 2793, 2831, 2836, 2861, 2899, 2934, 2939, 2944, 2948, 2967, 2970, 2977, 3000, 3028, 3041, 3044, 3060, 3077, 3105, 3129, 3162, 3172, 3184, 3206, 3213, 3221, 3261, 3410, 3422, 3450, 3469, 3508, 3530, 3591, 3604, 3608, 3642, 3654, 3659, 3704, 3712, 3722, 3748, 3777, 3791, 3817, 3825, 3830, 3935, 3942, 3957, 3966, 3989, 4031, 4036, 4052, 4173, 4180, 4195, 4204, 4227, 4269, 4274, 4290, 4390, 4397, 4432], 'University': [162, 277, 322, 364, 503, 568], 'São': [164, 166, 366, 368], 'Paulo,': [165, 167, 367, 369], 'Brazil': [168, 370], 'Guo': [179, 200, 940], 'Occupational': [184], 'National': [186, 298, 522], 'Taiwan': [187, 190, 523, 526], 'Taipei,': [189, 525], 'Epidemiology': [203], 'Preventive': [205, 212, 320], 'Public': [209, 295, 317, 390, 488, 497, 520, 546], 'Monash': [214], 'Melbourne,': [216], 'Australia': [217, 507], 'Goodman': [227], 'Sciences': [230], 'Institute,': [231], 'Dublin': [232], 'Technology,': [235, 505], 'Dublin,': [236], 'Ireland': [237, 1342, 1352, 3254], 'Hashizume': [247], 'Pediatric': [250], 'Infectious': [251], 'Diseases,': [252], 'Nagasaki': [257], 'Nagasaki,': [259], 'Japan': [260, 281, 1367, 3210], 'Honda': [270], 'Faculty': [271], 'Sport': [275], 'Sciences,': [276], 'Tsukuba,': [279, 280], 'Kim': [291], 'Graduate': [292], 'Health,': [296, 384, 391, 489, 521, 540, 547], 'Seoul': [297], 'Seoul,': [300], 'Republic': [301], 'Korea': [303], 'Lavigne': [313], 'Epidemiology,': [316, 339, 407], 'Ottawa,': [324, 325], 'Canada': [326], 'Michelozzi': [336], 'Lazio': [340, 408], 'Regional': [341, 409], 'Service,': [343, 411], 'Rome,': [344, 412], 'Italy': [345, 413], 'Saldiva': [357], 'Schwartz': [380, 954], 'Harvard': [385, 541], 'T.H.': [386, 542], 'Chan': [387, 543], 'Boston,': [392, 548], 'Massachusetts,': [393, 549], 'Scortichini': [404], 'Sera': [423], 'Tobias': [449], 'Assessment': [453], 'Water': [455], 'Research': [456, 462], '(IDAEA),': [457], 'Spanish': [458], 'Council': [459], 'Scientific': [461], '(CSIC),': [463], 'Barcelona,': [464], 'Spain': [465, 3201], 'Tong': [475, 482], 'Shanghai': [476, 480], "Children's": [477], 'Medical': [478, 491], 'Center,': [479], 'Jiao': [481], 'Shanghai,': [484], 'China': [485, 494], 'Anhui': [490], 'Hefei,': [493], 'Work,': [501], 'Queensland': [502], 'Brisbane,': [506], 'Wu': [517], 'Zanobetti': [536], 'Zeka': [560], 'Environment,': [563], 'Societies,': [566], 'Brunel': [567], 'Published:27': [606], 'October': [607], '2017CID:': [608], '107009https://doi.org/10.1289/EHP1756Cited': [609], 'by:5AboutSectionsPDF': [610], 'Supplemental': [611, 1977], 'Materials': [612], 'ToolsDownload': [613], 'CitationsTrack': [614], 'CitationsCopy': [615], 'LTI': [616], 'LinkHTMLAbstractPDF': [617], 'ShareShare': [618], 'onFacebookTwitterLinked': [619], 'InRedditEmail': [620], 'AbstractBackground:In': [621], 'many': [622, 906], 'places,': [623], 'daily': [624, 641, 730, 791, 830, 865, 892, 909, 917, 1192, 1214, 1297, 1540, 1573, 1620, 1746, 1757, 1812, 1828, 1911, 2220, 2265, 2272, 2344, 2389, 2468, 2486, 2505, 2527, 2537, 2895, 3375, 3436, 3459, 3524, 3559, 3583, 3595, 3689, 4097, 4335, 4405], 'mortality': [625, 668, 695, 738, 805, 918, 958, 985, 1039, 1056, 1097, 1124, 1233, 1594, 1699, 1753, 1762, 2006, 2036, 2049, 2154, 2418, 2433, 3281, 3362, 3371, 3548, 4364, 4425], 'has': [626, 3405], 'been': [627, 1328, 3099], 'shown': [628, 3177, 3687], 'increase': [630, 3395], 'after': [631, 1810, 2064], 'days': [632, 1688], 'with': [633, 780, 894, 1162, 1167, 1172, 1181, 1335, 1373, 1683, 1793, 1851, 1875, 2047, 2084, 2240, 2364, 2377, 2461, 2483, 2499, 2786, 2824, 2844, 2864, 2883, 3138, 3257, 3274, 3282, 3300, 3345, 3363, 3516, 3549, 3694, 3854, 3914, 3939, 4026, 4085, 4152, 4177, 4264, 4323, 4367, 4394, 4402, 4429], 'particularly': [634], 'high': [635, 1173, 1960, 3749, 4383], 'or': [636, 653, 783, 960, 1108, 1267, 2181, 2206, 2416, 2604, 2802, 3903, 3926, 4141, 4164, 4381, 4384], 'low': [637, 1962, 3001, 3770, 4385], 'temperatures,': [638], 'but': [639, 2194, 2372, 2501, 2839, 3652, 4043, 4281], 'such': [640, 647, 1065, 2201, 2547, 3599, 3845], 'time-series': [642, 910], 'studies': [643, 1134, 1187, 1215, 1608], 'cannot': [644, 978, 3418], 'identify': [645, 979, 1751, 2612], 'whether': [646, 1204, 1260, 2169, 2200, 2591], 'increases': [648], 'reflect': [649, 2578], 'substantial': [650], 'life': [651, 1012, 4420], 'shortening': [652, 4421], 'short-term': [654, 1271, 2560, 2602, 4424], 'displacement': [655, 959, 983, 990, 1040, 1660, 2603], 'deaths': [657, 746, 788, 857, 889, 1074, 1113, 1211, 1300, 1558, 1663, 1829, 2171, 2203, 2212, 2244, 2275, 2324, 2395, 2410, 2463, 2488, 2507, 2539, 2689, 2888, 3234, 3343, 3428, 3451, 3512, 3552, 3576, 3592, 3600, 3686, 3938, 4090, 4176, 4328, 4398, 4416], '(harvesting).Objectives:To': [658], 'clarify': [659, 1035], 'issue,': [661], 'we': [662, 1227, 1722, 1772, 1943, 1996, 2228, 2373, 2443, 2914, 3058, 3109, 3151], 'estimated': [663, 743, 1228, 1559, 2261, 2449, 2853, 3086, 3134, 3995, 4046, 4233, 4284], 'association': [665, 1180, 1230, 1264, 3130, 3279, 3881, 4119, 4391], 'between': [666, 916, 1054, 1142, 1231, 1318, 3131, 3330], 'annual': [667, 670, 683, 694, 707, 722, 734, 804, 1055, 1058, 1102, 1232, 1235, 1554, 1581, 1607, 1626, 1695, 1698, 1703, 1814, 1922, 1959, 2005, 2188, 2241, 2270, 2331, 2973, 3029, 3284, 3361, 3365, 3397, 3483, 3521, 3547, 3551, 3835, 4363], 'summaries': [671, 1059, 1236], 'heat': [673, 684, 723, 749, 807, 861, 895, 1047, 1061, 1182, 1208, 1238, 1431, 1441, 1562, 1706, 2180, 2216, 2231, 2247, 2278, 2327, 2399, 2466, 2517, 2848, 2872, 2891, 3230, 3237, 3287, 3308, 3346, 3432, 3455, 3478, 3555, 3579, 3627, 3695, 3808, 4064, 4093, 4302, 4331, 4430], 'cold': [675, 686, 725, 809, 863, 897, 927, 1049, 1163, 1210, 1240, 1443, 1564, 1679, 2182, 2218, 2234, 2280, 2519, 2850, 2874, 2893, 3289, 3320, 3348, 3434, 3457, 3557, 3581, 3848, 4066, 4095, 4304, 4333, 4403], 'in': [676, 691, 696, 790, 864, 891, 973, 1085, 1176, 1213, 1241, 1350, 1355, 1368, 1390, 1395, 1398, 1412, 1446, 1650, 1819, 1841, 1903, 1910, 1976, 2022, 2042, 2051, 2059, 2094, 2153, 2219, 2237, 2262, 2284, 2292, 2300, 2316, 2330, 2368, 2382, 2385, 2526, 2664, 2729, 2770, 2789, 2871, 2894, 2902, 3005, 3027, 3035, 3049, 3067, 3171, 3180, 3193, 3251, 3255, 3295, 3332, 3390, 3396, 3409, 3412, 3435, 3440, 3458, 3520, 3523, 3582, 3611, 3682, 3688, 3708, 3747, 3776, 3840, 3951, 3998, 4061, 4096, 4111, 4189, 4236, 4299, 4334, 4349, 4373, 4376, 4404, 4431], '278': [677, 1242, 1305, 3173], 'locations': [678, 907, 1243, 1306, 1340, 1372, 1387, 1536, 2041, 2061, 2078, 2651, 2663, 3175, 3726, 3924, 3929, 3950, 4162, 4167, 4188], 'from': [679, 1153, 1202, 1244, 1296, 1304, 1307, 1316, 1341, 1364, 1539, 2111, 2163, 2450, 2629, 2645, 2916, 2972, 3087, 3443, 3594, 3790, 3897, 3918, 4035, 4135, 4156, 4273, 4371], '12': [680, 1245, 1308], 'countries.Methods:Indices': [681], 'were': [687, 812, 833, 867, 876, 1067, 1079, 1114, 1170, 1188, 1216, 1294, 1622, 1692, 1831, 2172, 2260, 2396, 2411, 2540, 2659, 2737, 2767, 2795, 2813, 2905, 2960, 2966, 3349, 3461, 3486, 3513, 3532, 3601, 3645, 3649, 3696, 3976, 3994, 4214, 4232], 'used': [688, 718, 1136, 1360, 1710, 1749, 1773, 1909, 3031, 3123], 'as': [689, 1089, 1545, 1779, 1816, 2012, 2282, 2305, 2337, 2453, 2624, 2691, 2775, 2834, 2969, 3032, 3204, 3522, 3941, 4179], 'predictors': [690], 'regressions': [692, 2107, 2127], 'each': [697, 934, 1769, 1820, 2010, 2112, 2136, 2317, 2825, 3091, 3190, 3987, 4027, 4225, 4265], 'location,': [698, 2011], 'allowing': [699, 2065], 'trends': [701], 'over': [702, 1535, 1550, 2077, 3225, 4359], 'time': [703, 1657, 2132, 3890, 4128], 'clustering': [705, 2810, 2817, 2856, 3724, 3761, 4020, 4049, 4258, 4287], 'count': [708], 'anomalies': [709, 2039, 2152], 'country': [711, 1973, 1987, 2113, 2120, 3179, 3815, 4361], 'pooling': [713], 'estimates': [714, 2076, 3302, 3714, 3788, 3799], 'using': [715, 1565, 1628, 2108, 2287, 2830, 3755], 'meta-regression.': [716], 'We': [717, 1247, 1358, 1709, 2096, 2984], 'two': [719, 1348, 1629, 1711, 1876, 2580, 3229, 3990, 4228], 'indices': [720, 1704, 1712, 3231], 'based': [726], 'preliminary': [728, 1743, 2264], 'standard': [729, 1597, 2845, 2917, 3084, 3275, 4044, 4282], 'analyses:': [731], 'a)': [732, 1633, 2742, 2815], 'mean': [733, 810, 1302, 1435, 1534, 1578, 1582, 1758, 1827, 1834, 1854, 3080, 3132, 3258, 3283, 3364, 3398, 3550], 'degrees': [735, 811, 1543, 1583, 1801, 1836, 2232, 2235, 3239, 3285, 3366, 3399], 'above/below': [736, 3400], 'minimum': [737, 1593, 1752, 3370], 'temperature': [739, 931, 1619, 1754, 1759, 1855, 2038, 2067, 3372], '(MMT),': [740, 1755], 'b)': [742, 1667, 2745, 2829], 'fractions': [744, 832, 2273], 'attributed': [747, 2464, 3553], 'cold.': [751, 1063, 1708, 2912, 3639], 'The': [752, 845, 1001, 1513, 2125, 2297, 2360, 3196, 3438, 4017, 4255, 4387, 4427], 'first': [753, 1414, 1526, 1716, 2088, 2769, 3734], 'index': [754, 2851], 'was': [755, 764, 1125, 1183, 1196, 1700, 1748, 1763, 1901, 2299, 2558, 2622, 2681, 3022, 3290, 3334, 4022, 4034, 4260, 4272, 4365, 4392], 'simpler': [756, 1720], 'matched': [758], 'previous': [759, 1605, 2015], 'related': [760], 'research;': [761], 'second': [763, 1729], 'added': [765], 'because': [766, 1917], 'it': [767, 1006, 1069, 1195, 2621], 'allowed': [768, 2128, 3977, 4057, 4215, 4295], 'interpretation': [770, 2880, 4082, 4320], 'that': [771, 855, 887, 921, 956, 1021, 1072, 1106, 1123, 1326, 1644, 1842, 2392, 2951, 3341, 3506, 3527, 3644, 3681, 4378], 'coefficients': [772, 802, 850, 1946, 2185, 2349, 2448, 2554, 2852, 2875, 2882, 3485, 3570, 3628, 4062, 4084, 4300, 4322], 'equal': [773], '0': [775, 2458, 2780, 2805, 3662], '1': [777, 798, 873, 903, 1130, 1222, 1392, 1403, 1409, 2177, 2387, 2414, 2475, 2480, 2493, 2513, 2545, 2576, 2632, 2932, 2957, 3356, 3414, 3466, 3539, 3701, 3902, 4140, 4413], 'are': [778, 898, 922, 1324, 1388, 1444, 1883, 1974, 2192, 2334, 2497, 2723, 3192, 3388, 3568], 'consistent': [779, 2460, 2482, 2498, 4393], 'none': [781], '(0)': [782], 'all': [784, 1095, 1107, 2109, 2205, 2407, 2462, 2484, 2503, 2535, 3427, 3449, 3598, 3864, 4360, 4395], '(1)': [785, 1984, 2166, 2239], 'attributable': [789, 831, 859, 1555, 1590, 2214, 2245, 2257, 2276, 2345, 2487, 2506, 2538, 2889, 3235, 3430, 3453, 3577, 4091, 4329], 'analyses': [792, 866, 893, 911, 947, 1541, 2031, 2086, 2266, 2333, 2390, 2469, 2528, 2896, 3460, 3596, 3690, 3710, 4098, 4336, 4406], 'being': [793, 1853, 2470, 2489, 2508, 3634, 4407], 'displaced': [794, 899, 1115, 1218, 2173, 2412, 2471, 2490, 2509, 2541, 3462, 3602, 3697], 'least': [797, 872, 902, 1117, 1129, 3355, 3465, 3538, 4412], 'y.Results:On': [799], 'average,': [800, 4358], 'regression': [801, 2002, 2332, 3470, 3569], '1.7%': [813, 3311], '[95%': [814], 'confidence': [815, 3313, 3739], 'interval': [816, 3314], '(CI):': [817, 3315], '0.3,': [818, 3316], '3.1]': [819, 3317], '1.1%': [821, 3323], '(95%': [822, 835, 841, 3324, 3493, 3499, 3663, 3669], 'CI:': [823, 836, 842, 3325, 3494, 3500, 3664, 3670], '0.6,': [824, 3326], '1.6)': [825], 'per': [826, 1878, 1956, 3305, 3393], 'degree,': [827], 'respectively,': [828, 3811, 4079, 4317], '0.8': [834, 3492], '0.2,': [837, 3495], '1.3)': [838, 3496], '1.1': [840, 3498], '0.9,': [843, 3501], '1.4).': [844], 'proximity': [846], 'latter': [849, 3531], '1.0': [852, 3588], 'provides': [853], 'evidence': [854, 886, 2199, 3526, 3680, 4355], 'most': [856, 888, 3207, 3296, 3528], 'found': [858, 1212, 2213, 2329, 2340, 3424, 3429, 3452, 3514, 4353, 4399], 'brought': [868, 3351, 3533, 4408], 'forward': [869, 2289, 3352, 3534, 4409], 'y.': [874, 904, 2476, 2494, 2514, 4414], 'Estimates': [875], 'broadly': [877], 'robust': [878], 'alternative': [880, 2807, 3705], 'model': [881, 1777, 1788, 1896, 1983, 2003, 2007, 2100, 2238, 2298, 2306, 2313, 2451, 2619, 2833, 2863, 2903, 3444, 3883, 3887, 4038, 4121, 4125, 4276], 'assumptions.Conclusions:These': [882], 'results': [883, 2021, 2716, 3411, 3439, 3643], 'provide': [884, 2198, 2223], 'strong': [885, 4354], 'associated': [890, 1171, 3344, 3515, 3693, 4366, 4400], 'https://doi.org/10.1289/EHP1756IntroductionIn': [905], 'worldwide,': [908], 'have': [912, 1135, 1327, 2105, 3098], 'identified': [913], 'adverse': [914], 'associations': [915, 1053, 1066, 1100, 3610, 4428], 'temperatures': [920, 1303, 4370], 'toward': [923], 'hot': [925, 1168], 'ends': [928], 'range': [932], 'location': [935, 1822, 1861, 1873, 1990, 2027, 2053, 2137, 2384, 2826, 3191, 4028, 4266], '(Gasparrini': [936, 1331, 1575], 'et': [937, 941, 963, 1147, 1158, 1332, 1610, 1614, 1781, 1932, 1936, 3064], 'al.': [938, 942, 964, 1148, 1159, 1333, 1611, 1615, 1782, 1933, 1937, 3065], '2015;': [939, 1612, 1934], '2014).': [943], 'Many': [944], 'these': [946, 1694, 1839, 1965, 2676, 3006, 3517, 3633, 3683], 'employed': [948], 'distributed': [949, 1785, 1888], 'lag': [950, 968, 1786, 2568, 2609], 'models': [951, 1908, 2785, 3706], '(Armstrong': [952], '2006;': [953], '2000)': [955, 965], 'discount': [957], 'harvesting': [961], '(Zanobetti': [962], 'within': [966, 3055, 3727], 'interval,': [969], 'typically': [970], '2–3': [971], 'wk': [972], 'recent': [974], 'studies.': [975], 'However,': [976, 2029, 2584], 'they': [977], 'extent': [981, 1037], 'beyond': [986, 3603], 'period.': [988], 'Such': [989], 'may': [991, 2529], 'be': [992, 1023, 1091, 1665, 1766, 2056, 2358, 2420, 2434, 2564, 2982, 3474, 3692], 'quite': [993], 'short,': [994], 'example,': [996, 2572], 'just': [997, 2207, 2386, 3272, 3542], 'a': [998, 1205, 1361, 1570, 1742, 1784, 1864, 1898, 2001, 2023, 2116, 2208, 2355, 2365, 2369, 2378, 2423, 2532, 2573, 2592, 2678, 2820, 2954, 3017, 3056, 3124, 3145, 3585, 3756, 4023, 4261, 4435], 'few': [999], 'months.': [1000], 'uncertainty': [1002, 3026], 'about': [1003, 2757, 3507], 'makes': [1005], 'hard': [1007], 'estimate': [1009, 1052, 1201, 3095, 3963, 4018, 4033, 4054, 4201, 4256, 4271, 4292], 'actual': [1011, 2447], 'lost': [1013], 'weather': [1015, 3518], 'thereby': [1017], 'judge': [1018], 'priority': [1020], 'should': [1022], 'given': [1024, 1394, 1975, 2725], 'public': [1026, 2585], 'health': [1027, 2586], 'policies': [1028], 'reduce': [1030], 'those': [1031, 1166, 1325, 1568, 1602, 2409, 2524, 3187, 3252, 3754], 'excesses.One': [1032], 'way': [1033], 'due': [1041, 1075, 1560, 2325, 2397, 2598, 2692], 'acute': [1044, 1077], 'effects': [1045, 1078], 'is': [1050, 1274, 1719, 1863, 1985, 1992, 2362, 2459, 2481, 2597, 2685, 3071, 3161, 3176, 3242, 3745], 'If': [1064, 2534, 2556], 'null,': [1068], 'would': [1070, 1090, 1104, 2419, 2551, 2952, 2981, 2992, 3097, 3473], 'indicate': [1071, 1105], 'excess': [1073, 1112, 1952, 2321, 3384], 'wholly': [1080], 'compensated': [1081, 2565], 'deficits': [1083], 'later': [1084], 'same': [1087, 1776, 2044, 2304, 2336, 2720, 2968, 3509, 3818, 3967, 4205], 'year,': [1088], 'case': [1093], 'if': [1094, 2315, 2406, 2778, 2799, 2958, 2963, 3104, 3448, 3597], 'reflected': [1096, 3746], 'displacement.': [1098, 1272, 4426], 'Positive': [1099], 'series': [1103, 1363, 1621, 1627, 3215], 'some': [1109, 1365, 1738, 2170, 2500, 2559, 3219, 3342, 3679, 3685], 'into': [1118, 1259], 'next': [1120], 'period,': [1121], 'suggesting': [1122], 'advanced': [1126], 'y.Two': [1131], 'published': [1132, 1572], 'single-city': [1133], 'method.': [1138], 'In': [1139, 2782, 3218], 'both': [1140, 3477], '1947': [1143], '2006': [1145], '(Rehill': [1146], '2015)': [1149], 'Hong': [1151], 'Kong': [1152], '1976': [1154], '2012': [1156], '(Goggins': [1157, 1609, 1931], '2015),': [1160, 1334, 1576], 'years': [1161, 1317, 1524, 1552, 1635, 1670, 1682, 2046, 2639, 2787, 3054, 3226, 3833, 3913, 4151, 4377], 'winters': [1164], 'summers': [1169], 'mortality,': [1174], 'though': [1175, 3328, 3863], 'temperate': [1177], 'not': [1184, 1189, 1197, 2196, 2502, 2986, 3646, 3870], 'significant.': [1185], 'Those': [1186, 2162], 'linked': [1190], 'studies,': [1193, 2017, 4362], 'so': [1194, 2403], 'possible': [1198], 'directly': [1200], 'them': [1203], 'proportion': [1206, 2687, 2886, 3421, 3936, 4088, 4174, 4326], 'nevertheless': [1217], 'less': [1220, 1374, 2473, 3635, 3699], 'than': [1221, 1290, 1375, 1685, 1989, 2176, 2474, 2492, 2512, 2523, 2544, 3617, 3637, 3700, 4423], 'y.In': [1223], 'multicountry': [1225], 'study,': [1226, 1422], 'countries.': [1246], 'also': [1248, 1359, 2530, 2724], 'develop': [1249], 'method': [1251, 2290, 3062], 'further': [1252], 'give': [1254, 2953], 'insight,': [1255], 'positive': [1257, 3291, 3648], 'associations,': [1258], 'magnitude': [1262, 3092], 'indicates': [1265, 3340, 3505, 3589], 'partial': [1266], 'total': [1268, 1311], 'absence': [1269, 2600], 'This': [1273, 2069, 2913, 3339, 3504], 'easily': [1275, 2197, 3212], 'largest': [1277], 'study': [1278, 1287, 1522, 3247, 4352], 'date': [1280], 'addressing': [1281], 'question,': [1283], 'indeed': [1284, 2965, 3350, 3487], 'only': [1286, 2661, 3948, 4186], 'including': [1288, 1645, 3980, 4218], 'one': [1291, 1972, 2052, 2383], 'location.MethodsThe': [1292], 'data': [1293, 1323, 1380, 1384, 1815, 1970, 2110, 2658, 3007, 3946, 4184], 'assembled': [1295], 'counts': [1298, 1924], 'countries': [1309, 1411, 2722, 3297, 3331, 3630, 3728, 3968, 4206], 'durations': [1312], '10–40': [1314], 'y': [1315, 1377, 2178, 2415, 3540], '1972': [1319], '2012.': [1321], 'These': [1322, 2259, 2747, 4415], 'previously': [1329, 1571], 'described': [1330, 1713, 1817, 2283, 2291], 'addition': [1337, 2865], 'six': [1339], '(all': [1343], 'island': [1345], 'Ireland:': [1347], 'regions': [1349], 'Northern': [1351], 'four': [1354], 'Republic).': [1357], 'longer': [1362, 2521, 2549, 2567, 2608], 'countries,': [1366, 2677, 3220, 3684], 'particular,': [1369, 3256], 'excluded': [1371], 'qualifying': [1379], '(see': [1381], 'below).': [1382], 'Descriptive': [1383], 'included': [1386, 1551, 2738, 2754, 3174], 'summarized': [1389], 'Table': [1391, 3181, 3194], 'detail': [1397], 'Supplementary': [1399], 'Material': [1400], '(Table': [1401], 'S1).Table': [1402], 'Summary': [1404], 'descriptive': [1405], 'statistics': [1406], 'country.Table': [1408], 'lists': [1410], 'column;': [1415], 'corresponding': [1417], 'n': [1418, 1517], 'values,': [1419], 'period': [1420, 1520], 'MMT': [1423, 1538, 3259, 3310, 3322], 'percentile,': [1424], 'means': [1425], '(SD)': [1426, 1436, 1451, 1453, 1579], 'AF': [1427, 2254, 2935, 2971, 2989, 3004, 3784, 4103, 4341], 'percentage': [1428], 'values': [1429, 1439, 2496, 2643, 3002, 3111, 3136, 3185, 3779, 3916, 4154], 'cold,': [1433, 2249, 3480, 3607, 3810], 'degree': [1437, 1957, 3306], 'Celsius': [1438], 'listed': [1445], 'following': [1448], 'columns.CountrynPeriodMMT': [1449], '(percentile)Mean': [1450], 'AF%Mean': [1452], '°CHeatColdHeatColdAustralia31988–200822.8': [1454], '(82%)0.5': [1455, 1465], '(0.2)5.9': [1456], '(0.5)0.4': [1457], '(0.1)4.8': [1458], '(0.3)Brazil151997–201025.1': [1459], '(62%)0.7': [1460], '(0.3)2.5': [1461], '(0.5)0.5': [1462], '(0.1)1.7': [1463], '(0.2)Canada211986–201017.2': [1464], '(0.2)5.1': [1466], '(0.3)0.5': [1467], '(0.2)11.1': [1468], '(0.8)Ireland61984–200617.5': [1469], '(97%)0.0': [1470], '(0.0)11.3': [1471], '(1.1)0.0': [1472], '(0.0)7.8': [1473], '(0.5)Italy21988–200921.8': [1474], '(78%)1.7': [1475], '(1.4)9.8': [1476], '(0.9)0.7': [1477], '(0.3)7.5': [1478], '(0.5)Japan471972–201124.8': [1479], '(84%)0.4': [1480], '(0.2)10.5': [1481], '(0.8)0.4': [1482], '(0.2)10.1': [1483], '(0.6)South': [1484], 'Korea71992–200925.6': [1485], '(90%)0.3': [1486, 1502], '(0.3)6.6': [1487], '(0.2)0.2': [1488], '(0.1)12.0': [1489], '(0.5)Spain501990–200921.4': [1490], '(78%)1.1': [1491], '(0.5)5.6': [1492], '(0.7)0.6': [1493], '(0.2)6.6': [1494], '(0.5)Taiwan31994–200625.8': [1495], '(55%)0.9': [1496], '(0.2)3.8': [1497], '(0.6)1.1': [1498], '(0.1)2.9': [1499], '(0.3)United': [1500], 'Kingdom101993–200517.2': [1501], '(0.2)8.4': [1503], '(0.8)0.2': [1504], '(0.1)6.9': [1505], '(0.4)United': [1506], 'States1141985–200524.3': [1507], '(83%)0.3': [1508], '(0.2)5.4': [1509], '(0.3)0.4': [1510], '(0.1)9.8': [1511], '(0.6)Note:': [1512], 'table': [1514], 'shows': [1515], 'number': [1516], 'locations,': [1519, 3208], '(start': [1523], 'last': [1528], 'complete': [1529], 'Nov–Oct': [1530], 'year),': [1531], '(in': [1542], 'percentile),': [1546], 'mean,': [1547], 'SD': [1549], 'fraction': [1556, 2209, 2242, 2322, 2339, 3270, 3574], 'methods': [1566, 1600], 'identical': [1567], 'analysis': [1574, 1747, 1912, 2083, 2103, 2823, 3376, 3484, 3560, 4025, 4263], 'above': [1584, 1837, 3240, 3309, 3367], 'below': [1586, 3321, 3369], 'MMT.': [1588], 'AF,': [1589], 'fraction;': [1591], 'MMT,': [1592], 'temperature;': [1595], 'SD,': [1596], 'deviation.Broadly,': [1598], 'statistical': [1599], 'follow': [1601], 'single-location': [1606, 2016], 'Rehill': [1613, 1935], '2015).': [1616, 1938], 'collapsed': [1623], 'an': [1625, 2139, 2926, 3267], 'different': [1630], 'year': [1631, 1825, 1843, 1859, 1869, 1891, 2145, 2151, 2318, 2772, 2812, 2842, 3605, 3723, 3732, 4015, 4041, 4253, 4279], 'dividers:': [1632], 'starting': [1634, 1669, 2788], 'beginning': [1638, 1673], 'summer': [1640, 1647], '(the': [1641], 'month': [1642, 3828], 'before': [1643], 'solstice,': [1648], 'May,': [1649], 'northern': [1652], 'hemisphere)': [1653], 'allow': [1655, 2147, 2879, 3759, 4081, 4319], 'maximum': [1656], 'shorter-term': [1659], 'heat-related': [1662], 'discounted;': [1666], 'similarly,': [1668], 'winter': [1675], '(November)': [1676], 'optimal': [1678], 'analysis.': [1680, 3038], 'Location': [1681], '1%': [1686, 2646, 3919, 4157], 'missing': [1689, 2642, 3915, 4153], 'key': [1690, 3169], 'variables': [1691, 2236, 2901, 3034, 3050, 3170, 3188, 3984, 4073, 4222, 4311], 'excluded.In': [1693], 'series,': [1696], '(logged)': [1697], 'regressed': [1701, 1832], 'below;': [1714], '(“Basic': [1717], 'Model”)': [1718, 1731], 'hope': [1723], 'easier': [1724], 'follow,': [1726], '(“Modified': [1730], 'informative': [1733], 'expense': [1736], 'additional': [1739, 2140, 2548, 3069, 3113], 'complexity.Basic': [1740], 'ModelIn': [1741], 'step,': [1744], 'conventional': [1745, 2081, 2821, 4024, 4262], 'which': [1761, 2924, 3068, 3245, 3417, 3744, 3993, 4231], 'predicted': [1764], 'minimum,': [1767], 'location.': [1770], 'Specifically,': [1771, 3108], 'exactly': [1774, 3590], 'specification': [1778], '(2015),': [1783, 2286], 'nonlinear': [1787], '(lags': [1789], '21': [1791], 'd)': [1792], 'spline': [1794, 1867, 2133, 2627], 'control': [1795], 'seasonality': [1797], 'trend': [1799], '[8': [1800], 'freedom': [1803, 3894, 4132], '(df)/year]': [1804], 'day': [1806, 1857], 'week': [1808], 'indicators.Then,': [1809], 'collapsing': [1811], 'above,': [1818], 'country,': [1821], 'i': [1823, 1874], 't,': [1826, 1860, 2319], 'Yit': [1830], '(below)': [1838], 'MMTis': [1840], 'location:': [1845], 'log(Yit)=αi+βheat': [1846, 2308], 'heat_degreesi,t+βcold': [1847], 'cold_degreesi,t+si(t,dfi)+ωt+εit': [1848], '[1]': [1849], 'Where•heat_degreesi,t=∑d=1,365{max[(tempi,t,d−MMTi),0]}/365,': [1850], 'tempi,t,d': [1852], 'd,': [1858], 'i.•cold_degreesi,t=∑d=1,365{max[(MMTi−tempi,t,d),0]}/365.•si(t,dfi)': [1862], 'natural': [1865], 'cubic': [1866], 't': [1870], 'specific': [1871, 2615], 'df': [1877], 'decade': [1879], '(rounded).•ωt': [1880], 'εit': [1882], 'Gaussian': [1884, 1899, 1927], 'independent': [1885, 2589], 'identically': [1887], 'noise': [1889], 'location–year': [1893], 'levels,': [1894, 3992, 4230], 'respectively.In': [1895], '(1),': [1897], 'distribution': [1900], 'adopted': [1902], 'preference': [1904], 'quasi-Poisson': [1907], 'modeling': [1914], 'simplicity': [1915], 'large': [1919], 'size': [1920], 'death': [1923, 2730], 'made': [1925, 3023, 4108, 4346], 'approximation': [1928, 2361], 'very': [1929, 3650], 'good': [1930, 3018], 'For': [1939, 2675, 3476], 'presentation': [1940], 'results,': [1942, 2997], 'transform': [1944], 'βheat': [1947, 2350], 'βcold': [1949, 2352], 'percent': [1951], 'relative': [1953, 3385], 'risks': [1954, 3386], '(ERR%)': [1955], 'temperatures:': [1963], 'ERR%=100[exp(β)−1].In': [1964], 'models,': [1966], 'R': [1967, 1979], 'code': [1968, 1980, 2705], 'Material,': [1978], 'data.That': [1982], 'rather': [1988, 3243, 4422], 'level': [1991, 2271], 'unusual,': [1993], 'indeed,': [1995], 'initially': [1997], 'planned': [1998], 'fit': [2000, 2438], 'separately': [2008], 'did': [2013, 2985], 'then': [2019, 2347, 2976, 3468], 'combine': [2020], 'second-stage': [2024], 'meta-analysis': [2025, 2118], 'coefficients.': [2028, 2095, 2124], 'exploratory': [2030], 'showed': [2032, 3266, 3843], 'appreciable': [2033, 3335, 3624], 'correlations': [2034], 'across': [2040, 2877, 3053, 3629, 3725, 4067, 4305], 'country;': [2045], 'anomalous': [2048, 2058], 'residuals': [2050], 'tended': [2054], 'similarly': [2057, 3152], 'other': [2060, 2301], 'also,': [2062], 'even': [2063], 'effects.': [2068], 'falsified': [2070], 'assumption': [2072], 'independence': [2074], 'necessary': [2079], 'two-stage': [2082, 2822], 'location-specific': [2085, 3223], 'level,': [2089], 'leading': [2090, 3768], 'spurious': [2092], 'precision': [2093, 3248], 'therefore': [2097], 'reformulated': [2098], 'our': [2102, 3036, 3228, 3481], 'first-level': [2106], 'combined': [2114], 'second-level': [2117], '(heat': [2121], 'cold)': [2123], 'country-level': [2126, 2832, 3766, 4037, 4275], 'separate': [2129], 'intercepts': [2130], 'curves': [2134], 'random': [2141, 2841, 2869, 4040, 4059, 4278, 4297], 'effect': [2142, 2843], 'calendar': [2144, 2771], 'shared': [2150], 'noted': [2155], 'above.Modified': [2156], 'Model': [2157], 'Relate': [2159], 'Results': [2160], 'Daily': [2164], 'AnalysesModel': [2165], 'allows': [2167], 'concluding': [2168], '(if': [2183], 'heat_degrees': [2189], 'cold_degrees': [2191], 'positive),': [2193], 'does': [2195], 'longer-displaced': [2202], 'comprised': [2204], 'analyses.': [2221, 3437], 'To': [2222, 2437, 3148], 'quantitative': [2226], 'evidence,': [2227], 'replaced': [2229], 'heat_AFdailyi,t': [2250, 2964], 'cold_AFdailyi,t,': [2252], 'where': [2253, 2683, 3159], 'stands': [2255], 'fraction.': [2258], 'aggregating': [2268, 2342], 'obtained': [2281], 'Leone': [2295], '(2014).': [2296], 'respects': [2302], '(1):': [2307], 'heat_AFdailyi,t+βcold': [2309], 'cold_AFdailyi,t+si(t,dfi)+ωt+εit': [2310], '[2]': [2311], 'Under': [2312], '(2),': [2314], '(cold)': [2328], 'deaths,': [2346], 'would,': [2353], 'close': [2356, 2428, 3488], 'approximation,': [2357, 2898], '1.': [2359, 2983, 3358, 3475], 'addressed': [2363], 'complexity': [2366, 3042], 'cost': [2367], 'sensitivity': [2370, 2613, 3709, 3823], 'analysis,': [2371, 2974], 'motivate': [2374], 'argument': [2376], 'simplified': [2379], 'example:': [2380], 'Suppose': [2381], 'y,': [2388, 2546, 2933, 3467], 'indicated': [2391], '2%': [2393], '(none': [2400], 'cold),': [2402, 3014], 'heat_AFdailyi,t=0.02.': [2404], 'Then,': [2405], 'more,': [2417], 'raised': [2421], 'factor': [2424], '(rate': [2425], 'ratio)': [2426], '1.02,': [2430], 'log': [2432], '0.02': [2435], 'higher.': [2436], 'this,': [2439], 'coefficient': [2441, 2456, 2478, 2574, 2593, 2955, 2978, 3471], 'βheat=1.Thus,': [2442], 'can': [2444], 'interpret': [2445], '(2)': [2452, 2620, 2904, 3445], 'follows:': [2454, 2625], 'A': [2455, 2477], 'Intermediate': [2495], 'Effects': [2515], 'lags': [2522, 2550], 'considered': [2525], 'play': [2531], 'part.': [2533], 'lead': [2552], '>1.': [2555], 'there': [2557], 'displacement,': [2561], 'might': [2563, 2577], 'effects,': [2569], 'so,': [2570], 'things': [2581], 'balancing': [2582], 'exactly.': [2583], 'importance': [2587], 'seems': [2588], '1,': [2595, 3118, 3182, 3490], 'say,': [2596], 'its': [2605], 'compensation': [2606], 'effects.Sensitivity': [2610], 'AnalysesTo': [2611], 'features': [2616], 'modified': [2623, 2796, 2906, 4074, 4312], '1.Time': [2626], 'changed': [2628, 2644, 3711, 3896, 3917, 4134, 4155], '2': [2630, 3442, 3613, 3898, 4136], '3': [2634, 3717, 3873, 3904, 4142], 'df/decade.2.The': [2635], 'benchmark': [2636], 'excluding': [2638, 3675, 3912, 4150], 'dues': [2640], '0%': [2648, 3922, 4160], '(excluded': [2649], '9': [2650], 'entirely)': [2652], '10%': [2654, 3927, 4165], '(added': [2655], '18': [2656], 'locations).3.Influenza': [2657], 'available': [2660, 3947, 4185], 'Canada,': [2665, 3658, 3952, 4190], 'Ireland,': [2666, 3953, 4191], 'Japan,': [2667, 3199, 3954, 4192], 'Spain,': [2668, 3955, 4193], 'United': [2671, 3197, 3655, 3958, 4196, 4433], 'Kingdom': [2672, 3959, 4197], '(137': [2673, 3960, 4198], 'locations).': [2674], 'term': [2679], 'λ(influenza%)it': [2680], 'added,': [2682], 'influenza%': [2684], 'coded': [2690], 'influenza': [2694, 3940, 4178], '(International': [2695], 'Classification': [2696], 'DiseasesEighth': [2698], 'Revision': [2699, 2703, 2709], '(ICD-8)': [2700], '470-474,': [2701], 'Ninth': [2702], '(ICD-9)': [2704], '487,': [2706], 'Tenth': [2708], '(ICD-10)': [2710], '(WHO': [2711], '1966,': [2712], '1978,': [2713], '2016)].': [2714], 'Unadjusted': [2715], 'restricted': [2717, 3964, 4202], 'five': [2721], 'comparison.4.Step': [2727], 'changes': [2728, 2734], 'rates': [2731, 2752, 4001, 4239], 'calendar-year': [2733], '(1': [2735], 'January)': [2736], 'wherever': [2739], 'significant': [2740, 3985, 4223, 4419], 'p<0.01,': [2743], 'p<0.001.': [2746], 'corresponded': [2748], 'false': [2750, 3999, 4237], 'discovery': [2751, 4000, 4238], 'steps': [2755], '50%': [2758], '20%,': [2760], 'respectively': [2761], '(estimated': [2762], 'Storey’s': [2764], 'q-value).': [2765], 'Steps': [2766, 3974, 4212], 'selected': [2768], 'analyses,': [2773, 3525], 'modeled': [2774], 'indicators': [2776, 2794], 'step(T)it=1': [2777, 2798], 't>T,': [2779, 2800], 'otherwise.': [2781], 'main': [2784, 2837, 2862, 3037, 3841], 'May': [2790], 'November,': [2792], 'step(T)it=4/12(May)': [2801], '10/12': [2803], '(November),': [2804], 'otherwise.5.Three': [2806], 'approaches': [2808], 'undertaken:': [2814], 'ignoring': [2816, 3721, 4019, 4257], 'applying': [2819], 'analyzed': [2827, 4029, 4267], 'separately;': [2828, 4030, 4268], 'model,': [2838], 'without': [2840, 2897, 4039, 4099, 4277, 4337], 'error': [2846, 3048, 3070, 3103, 3114, 3775, 4045, 4110, 4283, 4348], 'jackknife': [2855, 3757, 4032, 4048, 4270, 4286], 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