num_nodes <- 20 num_nodes2 <- 10 Ncol <- 9 Nyears <- 5 Ntree0 <- 115 Y0 <- c(0, 0.5, 0.1, 0.1, 0, 0, 0, 0, 0, 0, 0, 0, 0.1, 0, 0, 0, 0, 0, 0.1, 0, 0, 0.1, 0, 0.2, 0.1, 0, 0, 0.2, 0, 0, 0, 0, 0, 0.1, 0, 0.9, 0.9, 0.1, 0, 0.3, 0.1, 0, 0, 0.3, 0.1, 0, 0, 0, 0, 0, 0, 0, 0.1, 0.2, 0, 0.1, 0, 0, 0, 0, 0, 0, 0, 0, 0.1, 0, 0, 0.4, 0.1, 0.3, 0.4, 0.3, 0.3, 0, 0, 0, 0, 0, 0, 0.1, 0, 0, 0, 0, 0, 0.1, 0.1, 0.3, 0.1, 0, 0, 0, 0, 0, 0, 0, 0.3, 0.4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0.1) Ntree <- c(109, 90, 64, 36, 21) DBH <- c(6.1024, 13.878, 12.5984, 10.1378, 8.6614, 10.8268, 16.1417, 9.6457, 9.4488, 8.2677, 23.8189, 21.8504, 20.4724, 11.4173, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 28.7402, 19.2913, 21.4567, 28.5433, 14.5669, 16.5354, 19.685, 27.4409, 16.1417, 11.811, 12.2047, 16.3386, 9.9213, 5.7087, 27.0079, 20.9449, 18.7008, 15.5906, 16.9291, 7.874, 17.3228, 10.6299, 16.1417, 12.9921, 11.4961, 11.1024, 17.3228, 14.5669, 7.5591, 6.7717, 6.2598, 6.1024, 5.1969, 21.1811, 40.5512, 6.1024, 17.7165, 7.874, 9.9213, 7.0079, 11.5354, 10.8268, 10.8268, 12.5984, 8.3465, 9.6457, 10.6299, 25.1969, 19.0945, 11.9291, 12.0079, 12.2047, 12.4016, 9.1339, 16.7717, 12.2047, 12.2047, 9.8425, 15.2362, 13.4646, 39.5669, 33.5433, 16.1024, 14.5669, 15.2362, 12.4016, 11.6929, 10.8268, 9.9213, 10.2362, 10.3937, 15.8268, 11.811, 19.4488, 10.2362, 6.4567, 20.2756, 14.3701, 17.3228, 11.5157, 6.4173, 11.1417, 22.7165, 11.4173, 20.9055, 14.3701, 12.4016, 11.4173, 14.1339, 11.9291, 11.6142, 11.9685, 10.3937, 10.0394, 11.8898, 13.4646, 6.1024, 13.878, 12.5984, 10.1378, 8.6614, 10.8268, 16.1417, 9.6457, 9.4488, 8.2677, 23.8189, 21.8504, 20.4724, 11.4173, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 28.7402, 19.2913, 21.4567, 28.5433, 14.5669, 16.5354, 19.685, 27.4409, 16.1417, 11.811, 12.2047, 16.3386, 9.9213, 27.0079, 20.9449, 18.7008, 15.5906, 16.9291, 7.874, 17.3228, 10.6299, 16.1417, 12.9921, 11.4961, 11.1024, 17.3228, 14.5669, 7.5591, 6.7717, 6.2598, 6.1024, 5.1969, 21.1811, 40.5512, 6.1024, 17.7165, 7.874, 9.9213, 7.0079, 11.5354, 10.8268, 10.8268, 12.5984, 8.3465, 9.6457, 10.6299, 25.1969, 19.0945, 11.9291, 12.0079, 12.2047, 12.4016, 9.1339, 16.7717, 15.2362, 13.4646, 33.5433, 16.1024, 15.2362, 12.4016, 11.6929, 10.8268, 9.9213, 10.2362, 10.3937, 15.8268, 11.811, 19.4488, 10.2362, 6.4567, 20.2756, 14.3701, 17.3228, 11.5157, 6.4173, 11.1417, 22.7165, 11.4173, 20.9055, 14.3701, 12.4016, 11.4173, 14.1339, 11.9291, 11.6142, 11.9685, 10.3937, 10.0394, 11.8898, 13.4646, 6.1024, 13.878, 12.5984, 10.1378, 8.6614, 10.8268, 16.1417, 9.6457, 9.4488, 8.2677, 23.8189, 21.8504, 20.4724, 11.4173, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 28.7402, 19.2913, 21.4567, 28.5433, 14.5669, 16.5354, 19.685, 27.4409, 16.1417, 11.811, 12.2047, 16.3386, 9.9213, 27.0079, 20.9449, 16.9291, 7.874, 17.3228, 10.6299, 12.9921, 11.4961, 11.1024, 17.3228, 14.5669, 7.5591, 6.7717, 6.2598, 6.1024, 5.1969, 21.1811, 6.1024, 17.7165, 7.874, 25.1969, 19.0945, 16.7717, 15.2362, 13.4646, 33.5433, 16.1024, 15.2362, 12.4016, 11.6929, 10.8268, 9.9213, 10.2362, 10.3937, 15.8268, 11.811, 19.4488, 10.2362, 6.4567, 20.2756, 14.3701, 17.3228, 11.5157, 6.4173, 11.1417, 22.7165, 11.4173, 20.9055, 12.4016, 11.4173, 14.1339, 11.9291, 11.6142, 11.9685, 10.3937, 10.0394, 11.8898, 13.4646, 23.8189, 21.8504, 20.4724, 11.4173, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 28.7402, 19.2913, 21.4567, 28.5433, 14.5669, 16.5354, 19.685, 27.4409, 16.1417, 11.811, 12.2047, 27.0079, 20.9449, 16.9291, 7.874, 10.6299, 11.4961, 17.3228, 14.5669, 7.5591, 6.7717, 6.2598, 6.1024, 5.1969, 6.1024, 7.874, 25.1969, 19.0945, 15.2362, 13.4646, 33.5433, 16.1024, 15.2362, 12.4016, 11.6929, 10.8268, 9.9213, 10.2362, 10.3937, 15.8268, 11.811, 19.4488, 10.2362, 6.4567, 20.2756, 14.3701, 17.3228, 11.5157, 6.4173, 11.1417, 20.9055, 12.4016, 11.9291, 11.6142, 11.9685, 11.4173, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 14.5669, 16.5354, 19.685, 27.4409, 16.1417, 11.811, 12.2047, 27.0079, 20.9449, 7.874, 10.6299, 14.5669, 6.7717, 6.2598, 6.1024, 5.1969, 7.874, 13.4646, 15.2362, 15.8268, 11.811, 10.2362, 6.4567, 11.5157, 6.4173, 20.9055, 12.4016, 11.9291, 11.6142, 11.9685, 4.8031, 5.9055, 4.5276, 4.9213, 11.1417, 11.811, 12.2047, 27.0079, 20.9449, 6.7717, 6.2598, 6.1024, 5.1969, 13.4646, 15.2362, 15.8268, 6.4567, 11.5157, 6.4173, 20.9055, 12.4016) Nobs <- 435 n_shards <- 28 max_shard_size <- 16 lbY <- -0.05 ubY <- 1.05 IDX1 <- c(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 78, 79, 81, 82, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115) X1 <- structure(c(-0.521876582695551, -0.521876582695551, -0.521876582695551, -0.521876582695551, -0.521876582695551, -0.521876582695551, -0.521876582695551, 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0.1, 0.3, 0.2, 0, 0, 0.4, 0.4, 0.1, 0.3, 1, 0, 0.8, 0.2, 0.3, 0.5, 0.4, 0.1, 0.3, 0, 0, 0, 0, 0.1, 0.8, 0, 0.3, 0, 0.6, 0.9, 0.4, 0.2, 0, 0.1, 0.1, 0, 0.6, 0.5, 0.3, 0.9, 0, 0.5, 0, 0, 0.8, 0, 0, 0.6, 0.4, 0.4, 0, 0, 0.2, 0.2, 0.1, 0, 0, 0, 0.4, 0, 0.3, 0.4, 0.4, 0.1, 0.2, 0.6) IDX3 <- c(11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 33, 34, 35, 36, 38, 40, 42, 43, 44, 45, 46, 47, 48, 50, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 80, 81, 84, 85, 86) X3 <- structure(c(0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 0.292760034195065, 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-0.567709054591732, -0.352557852170167, -0.26428397589725, -0.192658649305407, -0.208680131164427, 0.0290245097490946, 0.0751501916852798, -0.101491389381718, -0.0772210671096288, -0.0405666360285197, 0.000627007072467847, -0.19382338801435, -0.120567712682369, -0.470225039958272, -0.484024633148412, -0.30500360249329, -0.36891155299984, -0.113067250050963, -0.246254243963904, -0.039868500333988, -0.138908921905942, -0.0101803944612191, 0.020625075466874, 0.0640423623254237, 0.166851887268161, 0.2517505246057, -0.159993190175146, -0.140716406725055, -0.312308192775015, -0.401818119954787, -0.275110641667103, 0.0379170790608511, 0.0531050362334831, 0.067367593016535, 0.339375502158988, 0.306469476836153, -0.244946936798991, -0.0737878556248384, -0.324487580730376, -0.489862989203879, -0.153483375503488, 0.00482918977645658), .Dim = c(64, 9)) Y3 <- c(1, 1, 1, 0.9, 0, 0, 0, 0, 0.1, 0.4, 0.4, 0.8, 0.2, 0.2, 0.3, 0.1, 0.2, 0.4, 0, 0, 0.1, 0.4, 0, 0, 0.5, 1, 0.9, 0.6, 0, 0, 0, 0, 0, 0.4, 0.6, 1, 1, 0.4, 0, 0, 1, 0, 1, 0.9, 0.8, 1, 1, 1, 0.5, 0.3, 0.9, 0.4, 0, 0, 0, 0, 0, 0, 0.2, 0, 0.5, 0.1, 0.7, 0.5) IDX4 <- c(4, 5, 6, 7, 8, 9, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 28, 30, 31, 32, 33, 35, 39, 42, 49, 50, 52, 53, 57, 58, 60, 61, 62, 63, 64) X4 <- structure(c(0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 0.700078342640373, 1.48365716208137, 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-0.289959384982354, -0.293849681263341, -0.297762085905631, -0.294528384616965, -0.35456706746472, -0.376576602468751, -0.433966915786951, -0.283983118627116, -0.280954368540041, -0.47676322054048, -0.473096548823379, -0.311793193627889, -0.320361170674384, -0.24115504050858, -0.43031739150816, -0.394223309935088, -0.479931137079676, -0.392898706406589, 1.16108916218732, 1.13315111603271, 1.13583900177618, 1.28887830883501, 1.29328593122398, -0.030704444489477, -0.311213360072054, -0.356550127852768, -0.402756653096355, -0.452338287901353, -0.544043491299455, 0.0218271276727158, -0.534187867168165, -0.163916904921626, -0.559431625724974, -0.352557852170167, -0.26428397589725, 0.0290245097490946, -0.101491389381718, -0.0772210671096288, -0.0405666360285197, 0.000627007072467847, -0.120567712682369, -0.36891155299984, -0.039868500333988, -0.159993190175146, -0.140716406725055, -0.401818119954787, -0.275110641667103, 0.339375502158988, 0.306469476836153, -0.0737878556248384, -0.324487580730376, -0.489862989203879, -0.153483375503488, 0.00482918977645658), .Dim = c(36, 9)) Y4 <- c(1, 0, 0, 0, 0, 0.1, 0.4, 0.9, 0.7, 1, 1, 0, 0, 0.3, 0.6, 0, 0.8, 0.6, 0.1, 0, 0.1, 0.2, 1, 0.1, 0, 0.9, 1, 0.9, 0.1, 0.1, 0.2, 0, 0.5, 0.8, 0.7, 0.4) IDX5 <- c(2, 3, 4, 5, 6, 12, 13, 14, 15, 19, 20, 21, 22, 24, 25, 26, 29, 30, 31, 32, 33) X5 <- structure(c(1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.10739665108568, 1.16972485535928, 1.16972485535928, 1.27436895759998, 1.27436895759998, -0.295292576010464, -0.609224882732552, -0.39993667825116, -0.39993667825116, 0.0186397307116239, -0.086004371529072, -0.190648473769768, -0.295292576010464, -0.295292576010464, -0.39993667825116, -0.39993667825116, -0.086004371529072, -0.295292576010464, -0.609224882732552, -0.609224882732552, -0.713868984973248, 0.227927935193016, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, -0.296440082013652, 0.315565248595178, 0.927570579204008, -0.296440082013652, 1.84557857511725, 0.315565248595178, 0.315565248595178, -0.296440082013652, 0.315565248595178, -0.330524697023484, -0.330524697023484, -0.330524697023484, -0.330524697023484, -0.330524697023484, -0.330524697023484, 0.0826311742558709, -0.330524697023484, 1.32209878809394, -0.330524697023484, -0.330524697023484, -0.330524697023484, -0.330524697023484, 0.0826311742558709, -0.330524697023484, -0.330524697023484, 0.495787045535226, -0.330524697023484, -0.330524697023484, -0.330524697023484, 0.495787045535226, -0.693716010256298, -0.606161710005899, -0.715596643165392, -0.684328384812179, -0.190294668123516, -0.137137834707703, -0.10586957635449, 1.06982329144912, 0.588290524378943, -0.537366776336727, -0.578022660134059, -0.590523609752539, -0.662439809749579, -0.00580638433210485, 0.134896807180601, 0.181803165787173, -0.562384559880699, -0.16059101401099, -0.565513768362073, 0.58516131589757, -0.0902314761011307, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -0.262924464718952, -0.262924464718952, -0.266607358967239, -0.266607358967239, 0.425452248785262, 1.09914065283697, 0.941915935169667, -0.137694554917503, 0.503647155568816, -0.229358790823126, -0.229358790823126, -0.205075993144979, -0.205075993144979, -0.103654712204145, -0.225192667516287, -0.181052001665761, 0.0747390076919059, -0.28687147090528, -0.28687147090528, 1.98351417558554, -0.281869774835213, 0.651106051426587, 0.638961330929435, 0.712082536512848, 0.701610038223776, 0.806796197732584, 0.604087808113354, -0.245362822291928, -0.107167194057906, -0.221615221450789, -0.289959384982354, -0.293849681263341, -0.297762085905631, -0.294528384616965, -0.376576602468751, -0.433966915786951, -0.283983118627116, -0.473096548823379, -0.311793193627889, -0.320361170674384, -0.24115504050858, -0.43031739150816, 1.13315111603271, 1.13583900177618, 1.28887830883501, 1.29328593122398, -0.030704444489477, 0.0218271276727158, -0.534187867168165, -0.163916904921626, -0.559431625724974, -0.101491389381718, -0.0772210671096288, -0.0405666360285197, 0.000627007072467847, -0.36891155299984, -0.039868500333988, -0.159993190175146, -0.275110641667103, 0.339375502158988, 0.306469476836153, -0.0737878556248384, -0.324487580730376), .Dim = c(21, 9)) Y5 <- c(0, 0, 0, 0, 0.3, 0.1, 0.3, 0.2, 0.4, 0, 0, 0.3, 0.2, 0.2, 0.1, 1, 0.1, 0.2, 0.4, 0, 0.6)