estimate of heredity for h2=0.5 using eigenvector decomposition

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The results are based on simulations.

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, , 1 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [1,] 0.6733836 0.7740985 0.5739162 0.5112210 0.4579923 0.4815514 0.5129771 0.4959138 [2,] 0.4729207 0.4955647 0.5030175 0.4941006 0.6598457 0.4804898 0.4994796 0.5221051 [3,] 0.3702668 0.6792410 0.5590217 0.5232613 0.5636210 0.5329405 0.5003780 0.5328319 [4,] 0.6690861 0.3282691 0.7169549 0.4863831 0.5795500 0.5467640 0.5512048 0.4993981 [5,] 0.3764741 0.5445245 0.4221458 0.4904505 0.4564248 0.4997054 0.5603721 0.4853884 [6,] 0.4730260 0.5364447 0.4930636 0.4644062 0.4042990 0.4715935 0.5766056 0.4912858 [7,] 0.6778069 0.3759537 0.5516494 0.4501784 0.4653561 0.4921880 0.4451906 0.5505006 [8,] 0.8278134 0.6206782 0.5007568 0.5308565 0.5994983 0.4906236 0.5392231 0.4807249 [9,] 0.7434441 0.5123334 0.3282011 0.4692137 0.5205444 0.4782274 0.5120933 0.3701085[10,] 0.5161998 0.5148355 0.5347827 0.5491064 0.4962406 0.4409379 0.5083157 0.5325112[11,] 0.6762642 0.4761691 0.5317550 0.5537405 0.5947870 0.5011849 0.4505542 0.4823701[12,] 0.7432221 0.4185728 0.6800654 0.5901635 0.5971108 0.4234897 0.5198629 0.4996916[13,] 0.7181571 0.4796873 0.4662845 0.4430712 0.4783367 0.4977891 0.4288525 0.4659332[14,] 0.4914836 0.4972627 0.5318309 0.4830695 0.5545646 0.4425661 0.4862149 0.5106066[15,] 0.4473770 0.4142040 0.5965293 0.5407922 0.5263369 0.5005935 0.4867419 0.5627274[16,] 0.3651093 0.4114474 0.5184294 0.4939070 0.4578655 0.5289795 0.5800220 0.5621232[17,] 0.4231201 0.5084318 0.5023830 0.4709128 0.5204808 0.4658692 0.5129288 0.4583527[18,] 0.6738526 0.7216626 0.4372366 0.4567329 0.4827976 0.5040177 0.5015925 0.5243016[19,] 0.6862752 0.3472420 0.5201946 0.4866501 0.4705695 0.6103532 0.4604823 0.4499825[20,] 0.4537289 0.6830210 0.4481392 0.5170072 0.5934313 0.4213568 0.5468695 0.4328852[21,] 0.3637279 0.4698900 0.4539759 0.5750265 0.4804971 0.6124672 0.5121114 0.5141412[22,] 0.6356380 0.6522756 0.6599967 0.5783638 0.5015966 0.4825242 0.5338668 0.4983426[23,] 0.4719638 0.5241927 0.4779986 0.6135863 0.5033438 0.4659456 0.4392351 0.5241131[24,] 0.7458166 0.5924555 0.5050517 0.3439056 0.5926033 0.4184503 0.4937739 0.5078954[25,] 0.5771239 0.5706675 0.6901119 0.4257425 0.5532745 0.5052442 0.4629811 0.4526469[26,] 0.7719852 0.4130923 0.4846141 0.4504766 0.4645608 0.4889903 0.4829407 0.4747863[27,] 0.6401737 0.5414107 0.5179757 0.4733336 0.3881686 0.5680627 0.4384120 0.4853730[28,] 0.5139899 0.7038115 0.4978118 0.4305383 0.5196210 0.5786625 0.4269786 0.5398863[29,] 0.6105817 0.5339532 0.5081665 0.5392612 0.4621586 0.5200333 0.5468052 0.5374450[30,] 0.6513288 0.5127407 0.6282658 0.4474813 0.5477259 0.4784908 0.4593834 0.5756868, , 2 [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [1,] 7.572063e-09 1.475110e-08 4.801689e-01 0.4769621 0.4324860 0.5613885 0.3984644 0.5714220 [2,] 5.227722e-01 6.768610e-01 5.249774e-01 0.4789303 0.1602272 0.4423802 0.6013083 0.5107375 [3,] 6.916811e-01 1.481757e-09 3.396131e-01 0.6043419 0.3281457 0.5115479 0.4823542 0.5518875 [4,] 3.182654e-09 7.122849e-01 4.626367e-10 0.4286648 0.3815985 0.4023237 0.4399909 0.4522608 [5,] 6.485514e-01 6.251731e-01 6.252669e-01 0.6248326 0.5385737 0.3102876 0.3665010 0.4824446 [6,] 4.138197e-01 5.692230e-01 6.861779e-01 0.4287438 0.6994154 0.5619370 0.2981228 0.6065389 [7,] 6.248654e-08 6.723055e-01 5.592870e-01 0.9139634 0.5121306 0.4740718 0.5513470 0.4760234 [8,] 4.439931e-09 1.441758e-08 4.582181e-01 0.2378733 0.3494927 0.4523807 0.5022830 0.6094879 [9,] 1.163822e-09 4.096079e-01 9.742021e-01 0.6241829 0.4878900 0.6126794 0.4678492 0.6944508[10,] 3.923867e-01 6.008768e-01 3.105316e-01 0.4565283 0.4575417 0.5090797 0.4581748 0.3263059[11,] 2.555894e-08 5.479526e-01 3.796864e-01 0.2707772 0.4634873 0.4558793 0.5119374 0.5486735[12,] 1.887629e-07 7.026092e-01 6.910008e-10 0.2578271 0.3529926 0.5625418 0.4236376 0.5052906[13,] 1.113750e-08 5.966423e-01 5.255300e-01 0.6123428 0.5271536 0.4199802 0.6962432 0.6744813[14,] 4.188238e-01 4.582729e-01 3.902726e-01 0.5192655 0.3820780 0.6414166 0.6444878 0.5320986[15,] 3.687540e-01 6.070761e-01 1.975198e-01 0.3887950 0.3874879 0.5573359 0.4424511 0.3906041[16,] 6.945956e-01 8.538871e-01 4.973448e-01 0.6475228 0.4682239 0.3288867 0.3426285 0.4110342[17,] 5.200992e-01 2.600774e-01 2.614120e-01 0.5763033 0.5114561 0.4885813 0.4531377 0.4740058[18,] 2.032412e-10 7.519371e-09 7.247784e-01 0.6190199 0.5182625 0.3631841 0.6561416 0.5218542[19,] 5.070743e-09 8.814003e-01 4.195732e-01 0.4732858 0.4601673 0.2285407 0.5854803 0.5112643[20,] 6.990347e-01 1.903693e-10 6.123808e-01 0.5955774 0.2320953 0.7547962 0.5513861 0.5204553[21,] 8.356860e-01 4.049661e-01 4.929196e-01 0.4053889 0.4658397 0.3034255 0.4786366 0.5628136[22,] 3.581008e-09 3.578414e-10 5.624590e-10 0.3727594 0.5113124 0.6140029 0.3012888 0.5383980[23,] 2.746597e-01 7.211054e-01 2.533070e-01 0.1858702 0.4119996 0.4181642 0.6822528 0.5106040[24,] 4.203398e-10 2.691846e-01 5.525670e-01 0.7934806 0.3076832 0.8273688 0.3856426 0.4687665[25,] 2.809670e-01 5.189850e-01 2.443728e-09 0.7094426 0.3472613 0.5152034 0.4561518 0.6812449[26,] 1.138463e-06 3.927917e-01 4.968006e-01 0.6393351 0.7942217 0.4124375 0.5071221 0.5837489[27,] 8.833742e-09 6.774253e-01 4.469406e-01 0.4916963 0.7787186 0.2769882 0.5711055 0.5556784[28,] 7.950877e-01 2.721458e-10 4.559217e-01 0.6304562 0.4882498 0.2852133 0.6143299 0.3302740[29,] 1.625269e-08 4.277363e-01 5.450011e-01 0.4322981 0.6013324 0.4183427 0.4128292 0.4510975[30,] 2.973275e-07 4.308837e-01 2.900600e-01 0.6609523 0.2547423 0.4773591 0.5339380 0.3416863