Growth model for morphological traits of buckwheat cultivars at sowing times<sup/>

Loregian, Marcos Vinícius; Cargnelutti Filho, Alberto; Neu, Ismael Mario Márcio; Bubans, Valéria Escaio; Dumke, Gabriel Elias; Somavilla, Felipe Manfio

doi:10.5935/1806-6690.20240019

Marcos Vinícius Loregian

Graduate Program in Agronomy, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, vinicius.loregian@hotmail.com, ismaelmmneu@hotmail.com, valeriabubans@hotmail.com

https://orcid.org/0000-0003-2056-3268

Alberto Cargnelutti Filho^**Author for correspondence

Department of Plant Sciences, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, alberto.cargnelutti.filho@gmail.com

https://orcid.org/0000-0002-8608-9960

Ismael Mario Márcio Neu

Graduate Program in Agronomy, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, vinicius.loregian@hotmail.com, ismaelmmneu@hotmail.com, valeriabubans@hotmail.com

https://orcid.org/0000-0002-9186-2532

Valéria Escaio Bubans

Graduate Program in Agronomy, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, vinicius.loregian@hotmail.com, ismaelmmneu@hotmail.com, valeriabubans@hotmail.com

https://orcid.org/0000-0002-4188-0839

Gabriel Elias Dumke

Undergraduate student in Agronomy, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, gabrieleliasdumke@gmail.com, felipe-somavilla@hotmail.com

https://orcid.org/0000-0002-0301-7137

Felipe Manfio Somavilla

Undergraduate student in Agronomy, Federal University of Santa Maria (UFSM), Santa Maria-RS, Brazil, gabrieleliasdumke@gmail.com, felipe-somavilla@hotmail.com

https://orcid.org/0000-0002-1648-0219

*Author for correspondence

Editor-in-Chief: Prof. Josué Bispo da Silva - josue.bispo@ufms.br

Figures (2)
Tables (5)

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Figure 1
Logistic model graphs for plant height and number of nodes of the buckwheat cultivars IPR91-Baili (_) and IPR92-Altar (----), at five sowing times in the first year of cultivation (2017/2018)

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Figure 2
Logistic model graphs for plant height and number of nodes of the buckwheat cultivars IPR91-Baili (_) and IPR92-Altar (----), at five sowing times in the second year of cultivation (2018/2019)

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Table 1
Estimates of the parameters and lower (LL) and upper (UL) limits of the 95% confidence intervals of the Logistic model fit for plant height (PH, in cm) and number of nodes (NN) of the buckwheat cultivars IPR91-Baili and IPR92-Altar, sown at five times in the first year of cultivation (2017/2018)

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Table 2
Estimates of the parameters and lower (LL) and upper (UL) limits of the 95% confidence intervals of the Logistic model fit for plant height (PH, in cm) and number of nodes (NN) of the buckwheat cultivars IPR91-Baili and IPR92-Altar, sown at five times in the second year of cultivation (2018/2019)

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Table 3
Comparison of the estimates of the parameters of the Logistic model, fitted for the traits plant height (PH, in cm) and number of nodes (NN), between the five sowing times (1 × 2, 1 × 3, 1 × 4, 1 × 5, 2 × 3, 2 × 4, 2 × 5, 3 × 4, 3 × 5 and 4 × 5), of the buckwheat cultivars IPR91-Baili and IPR92-Altar, in two years of cultivation (year 1 = 2017/2018; year 2 = 2018/2019)

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Table 4
Fitting quality indicators and nonlinearity measures of the curvature of the Logistic model fitted for the traits plant height (PH, in cm) and number of nodes (NN) for the buckwheat cultivars IPR91-Baili and IPR92-Altar at five sowing times in two years of cultivation (year 1 = 2017/2018; year 2 = 2018/2019)

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Table 5
Critical points of the Logistic model fitted for the traits plant height (PH, in cm) and number of nodes (NN) for the buckwheat cultivars IPR91-Baili and IPR92-Altar at five sowing times in two years of cultivation (year 1 = 2017/2018; year 2 = 2018/2019)

Trait	Time⁽¹⁾	Parameter	⁽²⁾	Estimate	LL	UL	Estimate	LL	UL
					IPR91-Baili			IPR92-Altar
PH	1	a	ns	96.9714	93.0308	100.9120	101.3901	96.7011	106.0791
PH	1	b	^* * = significant at 5% probability of error and ns = not significant	-5.7629	-6.9500	-4.5757	-4.1676	-4.8551	-3.4801
PH	1	c	^* * = significant at 5% probability of error and ns = not significant	0.1723	0.1358	0.2087	0.1181	0.0970	0.1392
NN	1	a	^* * = significant at 5% probability of error and ns = not significant	13.6223	12.8926	14.3521	14.8655	13.9575	15.7735
NN	1	b	ns	-2.6575	-3.2437	-2.0712	-2.4391	-2.8690	-2.0091
NN	1	c	ns	0.0947	0.0727	0.1167	0.0782	0.0622	0.0942

PH	2	a	ns	144.8716	139.5304	150.2128	139.6041	134.6451	144.5630
PH	2	b	ns	-4.4170	-5.0734	-3.7606	-3.8892	-4.4501	-3.3282
PH	2	c	ns	0.1284	0.1083	0.1485	0.1201	0.1018	0.1384
NN	2	a	ns	16.2340	15.5539	16.9142	15.6101	15.0502	16.1700
NN	2	b	ns	-2.7940	-3.2122	-2.3758	-3.0614	-3.5905	-2.5323
NN	2	c	^* * = significant at 5% probability of error and ns = not significant	0.0920	0.0770	0.1070	0.1132	0.0932	0.1332

PH	3	a	^* * = significant at 5% probability of error and ns = not significant	117.7627	112.1676	123.3579	135.6067	129.5562	141.6572
PH	3	b	ns	-4.4499	-5.3528	-3.5471	-4.0847	-4.6919	-3.4775
PH	3	c	ns	0.1339	0.1055	0.1624	0.1129	0.0946	0.1312
NN	3	a	^* * = significant at 5% probability of error and ns = not significant	14.8148	14.3184	15.3112	16.2171	15.5575	16.8766
NN	3	b	ns	-3.1015	-3.6253	-2.5777	-2.8409	-3.3433	-2.3385
NN	3	c	ns	0.1126	0.0935	0.1318	0.0993	0.0811	0.1174

PH	4	a	ns	126.4021	121.3424	131.4617	124.3690	118.3425	130.3956
PH	4	b	ns	-4.9031	-5.8611	-3.9451	-4.1630	-5.0591	-3.2669
PH	4	c	ns	0.1803	0.1441	0.2166	0.1551	0.1203	0.1898
NN	4	a	^* * = significant at 5% probability of error and ns = not significant	13.7582	13.2010	14.3154	12.9677	12.3999	13.5356
NN	4	b	ns	-3.2415	-3.7975	-2.6855	-3.4028	-4.1740	-2.6315
NN	4	c	ns	0.1296	0.1063	0.1529	0.1502	0.1157	0.1846

PH	5	a	ns	89.8528	83.2114	96.4942	89.0624	83.7827	94.3422
PH	5	b	ns	-4.9664	-6.0173	-3.9155	-4.3784	-5.1336	-3.6232
PH	5	c	ns	0.1697	0.1307	0.2088	0.1579	0.1282	0.1877
NN	5	a	ns	12.0335	11.2226	12.8444	11.8742	10.9537	12.7946
NN	5	b	ns	-3.1053	-3.7349	-2.4756	-3.1439	-3.9413	-2.3465
NN	5	c	ns	0.1263	0.0981	0.1545	0.1320	0.0958	0.1681

Trait	Time⁽¹⁾	Parameter	⁽²⁾	Estimate	LL	UL	Estimate	LL	UL
					IPR91-Baili			IPR92-Altar
PH	1	a	^* * = significant at 5% probability of error and ns = not significant	62.1591	59.8270	64.4911	65.6015	62.9207	68.2823
PH	1	b	ns	-4.9932	-6.0523	-3.9342	-4.4734	-5.4775	-3.4693
PH	1	c	ns	0.1821	0.1430	0.2212	0.1656	0.1280	0.2033
NN	1	a	ns	10.2381	9.7457	10.7304	10.3078	9.7892	10.8263
NN	1	b	ns	-2.9010	-3.5865	-2.2155	-2.4922	-3.1147	-1.8697
NN	1	c	ns	0.1139	0.0868	0.1410	0.1026	0.0771	0.1281

PH	2	a	^* * = significant at 5% probability of error and ns = not significant	82.6813	78.9507	86.4119	78.0491	74.4124	81.6859
PH	2	b	ns	-3.9604	-4.7392	-3.1817	-4.0311	-4.8793	-3.1829
PH	2	c	ns	0.1439	0.1144	0.1734	0.1485	0.1161	0.1809
NN	2	a	ns	12.6630	12.0124	13.3137	12.3632	11.7270	12.9993
NN	2	b	ns	-2.5154	-2.9879	-2.0430	-2.7069	-3.2694	-2.1444
NN	2	c	ns	0.0989	0.0789	0.1189	0.1082	0.0846	0.1319

PH	3	a	^* * = significant at 5% probability of error and ns = not significant	95.4656	91.5046	99.4267	112.6096	108.8760	116.3432
PH	3	b	ns	-4.2430	-5.0057	-3.4804	-4.3342	-5.0447	-3.6237
PH	3	c	ns	0.1544	0.1254	0.1833	0.1557	0.1295	0.1819
NN	3	a	^* * = significant at 5% probability of error and ns = not significant	11.5080	11.1465	11.8696	12.0039	11.6393	12.3686
NN	3	b	ns	-2.9641	-3.4255	-2.5027	-2.9727	-3.4765	-2.4688
NN	3	c	ns	0.1329	0.1120	0.1539	0.1321	0.1099	0.1543

PH	4	a	ns	126.8718	121.7411	132.0025	126.6993	121.8832	131.5154
PH	4	b	ns	-4.1550	-4.8330	-3.4770	-4.8809	-5.6344	-4.1273
PH	4	c	ns	0.1437	0.1190	0.1685	0.1601	0.1341	0.1861
NN	4	a	^* * = significant at 5% probability of error and ns = not significant	10.8929	10.4550	11.3308	11.5115	11.0880	11.9349
NN	4	b	ns	-2.9187	-3.6046	-2.2327	-3.3172	-3.9584	-2.6760
NN	4	c	ns	0.1302	0.1006	0.1597	0.1374	0.1109	0.1640

PH	5	a	ns	56.9422	54.8412	59.0432	57.3483	55.0696	59.6269
PH	5	b	ns	-3.7093	-4.2517	-3.1670	-4.3308	-5.0490	-3.6126
PH	5	c	ns	0.1457	0.1231	0.1683	0.1636	0.1351	0.1921
NN	5	a	^* * = significant at 5% probability of error and ns = not significant	8.5981	8.2798	8.9164	9.2263	8.8632	9.5894
NN	5	b	ns	-2.8881	-3.4157	-2.3604	-2.9384	-3.4790	-2.3978
NN	5	c	ns	0.1403	0.1143	0.1662	0.1378	0.1118	0.1638

Trait	Year	Cultivar	Parameter	1 × 2	1 × 3	1 × 4	1 × 5	2 × 3	2 × 4	2 × 5	3 × 4	3 × 5	4 × 5
PH	1	IPR91-Baili	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
PH	1	IPR91-Baili	b	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	ns	ns	ns	ns	ns
PH	1	IPR91-Baili	c	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns
NN	1	IPR91-Baili	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
NN	1	IPR91-Baili	b	ns	ns	ns	ns	ns	ns	ns	ns	ns	ns
NN	1	IPR91-Baili	c	ns	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns

PH	1	IPR92-Altar	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
PH	1	IPR92-Altar	b	ns	ns	ns	ns	ns	ns	ns	ns	ns	ns
PH	1	IPR92-Altar	c	ns	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns
NN	1	IPR92-Altar	a	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
NN	1	IPR92-Altar	b	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	ns	ns	ns	ns
NN	1	IPR92-Altar	c	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	ns	ns

PH	2	IPR91-Baili	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
PH	2	IPR91-Baili	b	ns	ns	ns	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	ns	ns	ns
PH	2	IPR91-Baili	c	ns	ns	ns	ns	ns	ns	ns	ns	ns	ns
NN	2	IPR91-Baili	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
NN	2	IPR91-Baili	b	ns	ns	ns	ns	ns	ns	ns	ns	ns	ns
NN	2	IPR91-Baili	c	ns	ns	ns	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns

PH	2	IPR92-Altar	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
PH	2	IPR92-Altar	b	ns	ns	ns	ns	ns	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	ns
PH	2	IPR92-Altar	c	ns	ns	ns	ns	ns	ns	ns	ns	ns	ns
NN	2	IPR92-Altar	a	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant
NN	2	IPR92-Altar	b	ns	ns	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns	ns	ns	ns	ns
NN	2	IPR92-Altar	c	ns	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	^* * = significant at 5% probability of error. ns = not significant	ns	ns	ns

Trait	Year	Cultivar	Time⁽¹⁾	RSD	AIC	R²	IN	PE
PH	1	IPR91-Baili	1	12.1575	5.0582	0.8900	0.1549	0.3340
PH	1	IPR91-Baili	2	14.3415	5.3846	0.9200	0.1035	0.2903
PH	1	IPR91-Baili	3	14.6066	5.4291	0.8657	0.1332	0.3881
PH	1	IPR91-Baili	4	14.4438	5.4104	0.9051	0.1424	0.3248
PH	1	IPR91-Baili	5	10.2514	4.7624	0.8952	0.1436	0.4724
NN	1	IPR91-Baili	1	1.6289	1.0385	0.8208	0.1248	0.5312
NN	1	IPR91-Baili	2	1.4961	0.8652	0.8990	0.0873	0.3803
NN	1	IPR91-Baili	3	1.2659	0.5378	0.8929	0.0962	0.3255
NN	1	IPR91-Baili	4	1.3607	0.6857	0.9010	0.1072	0.3449
NN	1	IPR91-Baili	5	1.1201	0.3344	0.8888	0.1148	0.5466

PH	1	IPR92-Altar	1	10.9472	4.8484	0.9059	0.1111	0.3788
PH	1	IPR92-Altar	2	13.2731	5.2310	0.9187	0.0954	0.2854
PH	1	IPR92-Altar	3	12.7153	5.1517	0.9175	0.0941	0.3695
PH	1	IPR92-Altar	4	15.9975	5.6145	0.8717	0.1479	0.3900
PH	1	IPR92-Altar	5	8.1184	4.2960	0.9232	0.1128	0.4001
NN	1	IPR92-Altar	1	1.4760	0.8412	0.8691	0.0970	0.6367
NN	1	IPR92-Altar	2	1.5844	0.9800	0.8782	0.1051	0.3162
NN	1	IPR92-Altar	3	1.4574	0.8195	0.8811	0.0967	0.4087
NN	1	IPR92-Altar	4	1.6100	1.0225	0.8430	0.1441	0.3749
NN	1	IPR92-Altar	5	1.3559	0.7167	0.8392	0.1482	0.6388

PH	2	IPR91-Baili	1	7.2735	4.0384	0.8702	0.1436	0.3152
PH	2	IPR91-Baili	2	9.6131	4.5961	0.8824	0.1300	0.3698
PH	2	IPR91-Baili	3	10.3293	4.7393	0.9086	0.1245	0.3323
PH	2	IPR91-Baili	4	11.3600	4.9387	0.9204	0.1021	0.3434
PH	2	IPR91-Baili	5	4.9001	3.2528	0.9325	0.0967	0.3000
NN	2	IPR91-Baili	1	1.1734	0.3898	0.8225	0.1323	0.4790
NN	2	IPR91-Baili	2	1.2449	0.5081	0.8723	0.1034	0.5076
NN	2	IPR91-Baili	3	0.9522	-0.0280	0.9153	0.0942	0.2807
NN	2	IPR91-Baili	4	1.0294	0.1371	0.8481	0.1274	0.4363
NN	2	IPR91-Baili	5	0.8088	-0.3501	0.8925	0.1102	0.3320

PH	2	IPR92-Altar	1	8.0682	4.2458	0.8521	0.1468	0.3458
PH	2	IPR92-Altar	2	9.6453	4.6026	0.8703	0.1400	0.3819
PH	2	IPR92-Altar	3	11.3722	4.9250	0.9171	0.1159	0.2689
PH	2	IPR92-Altar	4	11.1031	4.8935	0.9337	0.1033	0.3074
PH	2	IPR92-Altar	5	5.6076	3.5219	0.9229	0.1166	0.3164
NN	2	IPR92-Altar	1	1.1368	0.3265	0.8118	0.1306	0.5497
NN	2	IPR92-Altar	2	1.3610	0.6865	0.8516	0.1181	0.4888
NN	2	IPR92-Altar	3	1.1109	0.2731	0.8937	0.1047	0.2692
NN	2	IPR92-Altar	4	1.0097	0.0985	0.8876	0.1109	0.3623
NN	2	IPR92-Altar	5	0.8964	-0.1443	0.8903	0.1116	0.3487

Trait	Year	Time⁽¹⁾	Axis	MAP	IP	MDP	ADP	MAP	IP	MDP	ADP
				IPR91-Baili				IPR92-Altar
PH	1	1	x_i	25.8090	33.4541	41.0992	46.7619	24.1416	35.2947	46.4477	54.7088
PH	1	1	y_i	20.4925	48.4857	76.4789	88.0741	21.4263	50.6951	79.9639	92.0874
PH	1	2	x_i	24.1446	34.4016	44.6586	52.2559	21.4185	32.3846	43.3508	51.4734
PH	1	2	y_i	30.6150	72.4358	114.2566	131.5794	29.5018	69.8020	110.1022	126.7951
PH	1	3	x_i	23.3912	33.2239	43.0565	50.3395	24.5153	36.1803	47.8452	56.4854
PH	1	3	y_i	24.8862	58.8814	92.8766	106.9578	28.6571	67.8033	106.9496	123.1645
PH	1	4	x_i	19.8850	27.1875	34.4900	39.8989	18.3518	26.8439	35.3359	41.6260
PH	1	4	y_i	26.7119	63.2010	99.6902	114.8045	26.2823	62.1845	98.0868	112.9580
PH	1	5	x_i	21.5026	29.2620	37.0215	42.7690	19.3851	27.7241	36.0631	42.2398
PH	1	5	y_i	18.9881	44.9264	70.8647	81.6086	18.8211	44.5312	70.2413	80.8908

NN	1	1	x_i	14.1537	28.0587	41.9637	52.2632	14.3457	31.1825	48.0192	60.4903
NN	1	1	y_i	2.8787	6.8112	10.7436	12.3725	3.1414	7.4327	11.7240	13.5015
NN	1	2	x_i	16.0578	30.3753	44.6928	55.2978	15.4117	27.0465	38.6814	47.2993
NN	1	2	y_i	3.4307	8.1170	12.8034	14.7445	3.2988	7.8051	12.3113	14.1779
NN	1	3	x_i	15.8449	27.5383	39.2317	47.8931	15.3544	28.6233	41.8921	51.7204
NN	1	3	y_i	3.1307	7.4074	11.6841	13.4555	3.4271	8.1085	12.7900	14.7291
NN	1	4	x_i	14.8473	25.0074	35.1675	42.6931	13.8904	22.6606	31.4308	37.9269
NN	1	4	y_i	2.9074	6.8791	10.8507	12.4959	2.7404	6.4839	10.2273	11.7779
NN	1	5	x_i	14.1600	24.5877	35.0154	42.7392	13.8418	23.8194	33.7971	41.1876
NN	1	5	y_i	2.5430	6.0168	9.4906	10.9294	2.5093	5.9371	9.3649	10.7847

PH	2	1	x_i	20.1892	27.4216	34.6541	40.0111	19.0556	27.0062	34.9569	40.8459
PH	2	1	y_i	13.1358	31.0795	49.0233	56.4559	13.8632	32.8008	51.7383	59.5825
PH	2	2	x_i	18.3692	27.5206	36.6720	43.4504	18.2800	27.1498	36.0196	42.5895
PH	2	2	y_i	17.4726	41.3407	65.2087	75.0952	16.4937	39.0246	61.5554	70.8880
PH	2	3	x_i	18.9566	27.4885	36.0205	42.3401	19.3776	27.8354	36.2932	42.5580
PH	2	3	y_i	20.1743	47.7328	75.2914	86.7065	23.7972	56.3048	88.8124	102.2775
PH	2	4	x_i	19.7432	28.9047	38.0662	44.8522	22.2580	30.4829	38.7078	44.8000
PH	2	4	y_i	26.8112	63.4359	100.0606	115.2311	26.7747	63.3496	99.9246	115.0744
PH	2	5	x_i	16.4156	25.4520	34.4884	41.1817	18.4182	26.4664	34.5146	40.4760
PH	2	5	y_i	12.0333	28.4711	44.9089	51.7177	12.1191	28.6741	45.2291	52.0865

NN	2	1	x_i	13.9076	25.4701	37.0326	45.5970	11.4538	24.2891	37.1244	46.6315
NN	2	1	y_i	2.1636	5.1190	8.0745	9.2987	2.1783	5.1539	8.1295	9.3620
NN	2	2	x_i	12.1178	25.4335	38.7493	48.6123	12.8423	25.0102	37.1781	46.1909
NN	2	2	y_i	2.6760	6.3315	9.9870	11.5012	2.6126	6.1816	9.7505	11.2288
NN	2	3	x_i	12.3918	22.2997	32.2076	39.5464	12.5355	22.5063	32.4771	39.8625
NN	2	3	y_i	2.4319	5.7540	9.0761	10.4522	2.5367	6.0020	9.4672	10.9026
NN	2	4	x_i	12.3065	22.4251	32.5438	40.0387	14.5565	24.1405	33.7245	40.8234
NN	2	4	y_i	2.3019	5.4464	8.5909	9.8934	2.4327	5.7557	9.0788	10.4553
NN	2	5	x_i	11.1996	20.5875	29.9754	36.9291	11.7655	21.3218	30.8782	37.9566
NN	2	5	y_i	1.8170	4.2991	6.7811	7.8092	1.9497	4.6131	7.2765	8.3798

[1] *Author for correspondence

Brasil

Brasil

Growth model for morphological traits of buckwheat cultivars at sowing times¹ 1 Paper of the part of the first author’s dissertation with support from CNPq, Capes and FAPERGS

ABSTRACT

Brasil

Brasil

Growth model for morphological traits of buckwheat cultivars at sowing times1 1 Paper of the part of the first author’s dissertation with support from CNPq, Capes and FAPERGS

ABSTRACT

Growth model for morphological traits of buckwheat cultivars at sowing times¹ 1 Paper of the part of the first author’s dissertation with support from CNPq, Capes and FAPERGS