Descriptive |
|
|
|
Nreg |
Descriptive graphic |
- |
- |
Non-parametric |
|
|
|
loess_model |
Local loess non-parametrical of 0, 1, or 2 degree |
- |
- |
Polynomial or linear models |
LM |
Simple linear, quadratic, inverse quadratic, cubic or quartic |
|
Silicon doses and their influence on tomato post-harvest durability and quality (Marodin et al., 2016Marodin JC, Resende JTV, Morales RGF, Faria MV, Trevisam AR, Figueiredo AST, et al. 2016. Tomato post-harvest durability and physicochemical quality depending on silicon sources and doses. Horticultura Brasileira 34: 361-366. http://dx.doi.org/10.1590/S0102-05362016003009 http://dx.doi.org/10.1590/S0102-05362016...
), Chrysanthemum leucanthemum seed imbibition curve (Pêgo et al., 2012Pêgo RG, Grossi JAS, Barbosa JG. 2012. Soaking curve and effect of temperature on the germination of daisy seeds. Horticultura Brasileira 30: 312-316. https://doi.org/10.1590/S0102-05362012000200021 https://doi.org/10.1590/S0102-0536201200...
), potato yield according to K2O doses (Maingi and Mbuvi, 2020Maingi FM, Mbuvi HM. 2020. The effect of potassium dosage on selected growth parameters and yield response modeling on potatoes grown in Molo, Kenya. Journal of Scientific Agriculture 4: 101-107. https://doi.org/10.25081/jsa.2020.v4.6388 https://doi.org/10.25081/jsa.2020.v4.638...
) |
|
|
|
|
LM_i |
Simple linear, quadratic, inverse quadratic, cubic, or quartic without intercept |
|
Drying kinetics of Cydonia oblonga (Tzempelikos et al., 2015Tzempelikos DA, Vouros AP, Bardakas AV, Filios AE, Margaris DP. 2015. Experimental study on convective drying of quince slices and evaluation of thin-layer drying models. Engineering in Agriculture, Environment and Food 8: 169-177. https://doi.org/10.1016/j.eaef.2014.12.002 https://doi.org/10.1016/j.eaef.2014.12.0...
) |
|
|
|
|
LM13 |
Cubic without β2
|
|
Merremia aegyptia straw dose in vegetable cowpea (Silva et al., 2020Silva JN, Bezerra Neto F, Lima JSS, Barros Júnior AP, Nunes RLC, Chaves AP. 2020. Agronomic and economic feasibility indicators for cowpea-vegetable under green manure in a semiarid environment. Revista Ciência Agronômica 51: 1-11. https://doi.org/10.5935/1806-6690.20200040 https://doi.org/10.5935/1806-6690.202000...
) |
LM13i |
Inverse cubic without β2
|
|
- |
LM23 |
Cubic without β1
|
|
M. aegyptia straw dose in vegetable cowpea (Silva et al., 2020Silva JN, Bezerra Neto F, Lima JSS, Barros Júnior AP, Nunes RLC, Chaves AP. 2020. Agronomic and economic feasibility indicators for cowpea-vegetable under green manure in a semiarid environment. Revista Ciência Agronômica 51: 1-11. https://doi.org/10.5935/1806-6690.20200040 https://doi.org/10.5935/1806-6690.202000...
) |
LM23i |
Inverse cubic without β1
|
|
- |
LM2i3 |
Cubic without β1 and with inverse β3
|
|
- |
valcam |
Valcam |
|
Drying kinetics of Bauhinia forficata (Silva et al., 2017Silva FP, Siqueira VC, Martins EAS, Miranda FMN, Melo RM. 2017. Thermodynamic properties and drying kinetics of Bauhinia forficata Link leaves. Revista Brasileira de Engenharia Agrícola e Ambiental 21: 61-67. https://doi.org/10.1590/1807-1929/agriambi.v21n1p61-67 https://doi.org/10.1590/1807-1929/agriam...
) |
Logistic, sigmoid, or S-shaped models |
logistic |
Logistic with three (npar=“L.3”), four (npar=“L.4”), or five (npar=“L.5") parameters |
|
Eleusine indica germination curve (Kerr et al., 2018)Kerr RA, McCarty LB, Bridges WC, Cutulle M. 2018. Key morphological events following late-season goosegrass (Eleusine indica) germination. Weed Technology 33: 196-201. https://doi.org/10.1017/wet.2018.93 https://doi.org/10.1017/wet.2018.93...
and growth curve of satsuma mandarin (Citrus unshiu Marc.) (Yano et al., 2018)Yano T, Morisaki A, Matsubara K, Ito SI, Kitano M. 2018. Growth analysis of potted seedlings of Satsuma mandarin (Citrus unshiu Marc.) under different light conditions and air temperatures. Horticulture Journal 87: 34-42 https://doi.org/10.2503/hortj.OKD-051 https://doi.org/10.2503/hortj.OKD-051...
and strawberry production curve (Diel et al., 2019)Diel, MI, Sari, BG, Krysczun, DK, Olivoto T, Pinheiro, MVM, Meira, D, et al. 2019. Nonlinear regression for description of strawberry (Fragaria × ananassa) production. The Journal of Horticultural Science and Biotechnology 94: 259-273. https://doi.org/10.1080/14620316.2018.1472045 https://doi.org/10.1080/14620316.2018.14...
|
|
|
LL |
Log-logistic with three (npar="LL.3"), four (npar="LL.4"), or five (npar="LL.5") parameters |
|
Fungicide dose-response (Noel et al., 2018)Noel ZA, Wang J, Chilvers MI. 2018. Significant influence of EC50 estimation by model choice and EC50 type. Plant Disease 102: 708-714. https://doi.org/10.1094/PDIS-06-17-0873-SR https://doi.org/10.1094/PDIS-06-17-0873-...
, Tomato brown rugose fruit virus (ToBRFV) progress in tomato cultivars (González-Concha et al., 2021)González-Concha LF, Ramírez-Gil JG, García-Estrada RS, Rebollar-Alviter Á, Tovar-Pedraza JM. 2021. Spatiotemporal analyses of tomato brown rugose fruit virus in commercial tomato greenhouses. Agronomy 11: 1268. https://doi.org/10.3390/agronomy11071268 https://doi.org/10.3390/agronomy11071268...
|
|
|
BC |
Brain-Cousens with four (npar=“BC.4”) or five parameters (npar=“BC.5”) |
|
Herbicide dose-response (Schabenberger et al., 1999)Schabenberger O, Tharp BE, Kells JJ, Penner D. 1999. Statistical tests for hormesis and effective dosages in herbicide dose response. Agronomy Journal 91: 713-721. https://doi.org/10.2134/agronj1999.914713x https://doi.org/10.2134/agronj1999.91471...
, Trichoderma asperellum doses in wheat seeds (Couto et al., 2021)Couto APS, Pereira AE, Abati J, Camargo Fontanela ML, Dias-Arieira CR, Krohn NG. 2021. Seed treatment with Trichoderma and chemicals to improve physiological and sanitary quality of wheat cultivars. Revista Caatinga 34: 813-823. http://dx.doi.org/10.1590/1983-21252021v34n408rc http://dx.doi.org/10.1590/1983-21252021v...
|
|
CD |
Cedergreen-Ritz-Streibig with four (npar=“CRS.4”) or five (npar=“CRS.5”) parameters |
|
Kiwi fruit drying kinetics (Sadeghi, et al., 2019) and dose-response of flufenacet and pendimethalin to control Alopecurus myosuroides (Metcalfe et al., 2017)Metcalfe H, Milne AE, Hull R, Murdoch AJ, Storkey J. 2017. The implications of spatially variable pre-emergence herbicide efficacy for weed management. Pest Management Science 74: 755-765. https://doi.org/10.1002/ps.4784 https://doi.org/10.1002/ps.4784...
|
|
weibull |
Weibull with three (npar=“w3”) or four (npar=“w4”) parameters |
|
Substrate water retention curve (Bateman et al., 2019)Bateman AM, Erickson TE, Merritt DJ, Veneklaas EJ, Muñoz-Rojas M. 2019. Water availability drives the effectiveness of inorganic amendments to increase plant growth and substrate quality. Catena 182: 104116. https://doi.org/10.1016/j.catena.2019.104116 https://doi.org/10.1016/j.catena.2019.10...
|
|
GP |
Gompertz with two (npar=“g2”), three (npar=“g3”), or four quatro (npar=“g4”) parameters |
|
Growth curve (Fang et al., 2022)Fang SL, Kuo YH, Kang L, Chen CC, Hsieh CY, Yao MH, et al. 2022. Using Sigmoid Growth Models to Simulate Greenhouse Tomato Growth and Development. Horticulturae 8: 1021. https://doi.org/10.3390/horticulturae8111021 https://doi.org/10.3390/horticulturae811...
and response-dose (Mendes et al., 2019)Mendes RR, Oliveira Jr. RS, Constantin J, Silva VFV, Hencks JR. 2019. Identification and mapping of cross-resistance patterns to ALS-inhibitors in greater beggarticks (Bidens spp.). Planta Daninha 37: 1-10. https://doi.org/10.1590/S0100-83582019370100117 https://doi.org/10.1590/S0100-8358201937...
|
|
|
VB |
Von Bertalanffy |
|
Strawberry production curve (Diel et al., 2019)Diel, MI, Sari, BG, Krysczun, DK, Olivoto T, Pinheiro, MVM, Meira, D, et al. 2019. Nonlinear regression for description of strawberry (Fragaria × ananassa) production. The Journal of Horticultural Science and Biotechnology 94: 259-273. https://doi.org/10.1080/14620316.2018.1472045 https://doi.org/10.1080/14620316.2018.14...
|
lorentz |
Lorentz with three (“lo3”) or four (“lo4”) parameters |
|
- |
|
Bell-shaped models |
beta_reg |
Beta regression, developed by Yin et al. (1995)Yin X, Kropff MJ, McLaren G, Visperas RM. 1995. A nonlinear model for crop development as a function of temperature. Agricultural and Forest Meteorology 77: 1-16. https://doi.org/10.1016/0168-1923(95)02236-Q https://doi.org/10.1016/0168-1923(95)022...
|
|
Cardinal temperature estimate for cultivars of Quinoa (Mamedi et al., 2017)Mamedi A, Afshari RT, Oveisi M. 2017. Cardinal temperatures for seed germination of three quinoa (Chenopodium quinoa Willd.) cultivars. Iranian Journal of Field Crop Science 48: 89-100. https://doi.org/10.22059/ijfcs.2017.206204.654106 https://doi.org/10.22059/ijfcs.2017.2062...
and Alyssum homolocarpum (Zaferanieh et al., 2020)Zaferanieh M, Mahdavi B, Torabi B. 2020. Effect of temperature and water potential on Alyssum homolocarpum seed germination: quantification of the cardinal temperatures and using hydro thermal time. South African Journal of Botany 131: 259-266. https://doi.org/10.1016/j.sajb.2020.02.006 https://doi.org/10.1016/j.sajb.2020.02.0...
|
gaussianreg |
Function analogous to Gaussian distribution or Bragg model |
|
- |
|
Segmented models |
linear.linear |
Linear-linear segmented |
|
Cardinal and optimal temperature estimate for seed germination (Motsa et al., 2015)Motsa MM, Slabbert MM, Van Averbeke W, Morey L. 2015. Effect of light and temperature on seed germination of selected African leafy vegetables. South African Journal of Botany 99: 29-35. https://doi.org/10.1016/j.sajb.2015.03.185 https://doi.org/10.1016/j.sajb.2015.03.1...
. Relationship of phosphorus content with wheat and maize yield (Xi et al., 2016)Xi B, Zhai LM, Liu J, Liu S, Wang HY, Luo CY, et al. 2016. Long-term phosphorus accumulation and agronomic and environmental critical phosphorus levels in Haplic Luvisol soil in northern China. Journal of Integrative Agriculture 15: 200-208. https://doi.org/10.1016/S2095-3119(14)60947-3 https://doi.org/10.1016/S2095-3119(14)60...
|
|
linear.plateau |
Linear-plateau segmented |
|
Estimate of optimal minimum plant density (Ferreira et al., 2020)Ferreira AS, Zucareli C, Werner F, Fonseca ICB, Balbinot Junior AA. 2020. Minimum optimal seeding rate for indeterminate soybean cultivars grown in the tropics. Agronomy Journal 112: 2092-2102. https://doi.org/10.1002/agj2.20188 https://doi.org/10.1002/agj2.20188...
, onion bulb yield according to nitrogen doses (Gonçalves et al., 2019)Gonçalves FDC, Grangeiro LC, Sousa VFL, Santos JP, Souza FI, Silva LRR. 2019. Yield and quality of densely cultivated onion cultivars as function of nitrogen fertilization. Revista Brasileira de Engenharia Agrícola e Ambiental 23: 847-851. http://dx.doi.org/10.1590/1807-1929/agriambi.v23n11p847-851 http://dx.doi.org/10.1590/1807-1929/agri...
|
|
plateau.linear |
Plateau-linear segmented |
|
Relationship between average daily temperature and weight and sunflower oil content (Angeloni et al., 2021)Angeloni P, Aguirrezábal L, Echarte MM. 2021. Assessing the mechanisms underlying sunflower grain weight and oil content responses to temperature during grain filling. Field Crops Research 262: 108040. https://doi.org/10.1016/j.fcr.2020.108040 https://doi.org/10.1016/j.fcr.2020.10804...
|
|
quadratic.plateau |
Quadratic-plateau segmented |
|
Density (Van Roekel and Coulter, 2011)Van Roekel RJ, Coulter JA. 2011. Agronomic responses of corn to planting date and plant density. Agronomy Journal 103: 1414-1422. https://doi.org/10.2134/agronj2011.0071 https://doi.org/10.2134/agronj2011.0071...
or population of maize plants (Williams et al., 2021)Williams JJ, Dodds DM, Buehring NW, Dhillon JS, Henry WB. 2021. Corn response to row spacing and plant population in the mid-south United States. Agronomy Journal 113: 4132-4141. https://doi.org/10.1002/agj2.20817 https://doi.org/10.1002/agj2.20817...
|
|
plateau.quadratic |
Plateau-quadratic segmented |
|
- |
|
Logarithmic models |
LOG |
Logarithmic |
|
Kiwi fruit drying kinetics (Sadeghi et al., 2019)Sadeghi E, Haghighi Asl A, Movagharnejad K. 2019. Mathematical modelling of infrared-dried kiwifruit slices under natural and forced convection. Food Science & Nutrition 7: 3589-3606. https://doi.org/10.1002/fsn3.1212 https://doi.org/10.1002/fsn3.1212...
|
LOG2 |
Quadratic logarithmic |
|
- |
thompson |
Thompson or quadratic logarithmic without intercepto |
|
Kiwi fruit drying kinetics (Sadeghi et al., 2019)Sadeghi E, Haghighi Asl A, Movagharnejad K. 2019. Mathematical modelling of infrared-dried kiwifruit slices under natural and forced convection. Food Science & Nutrition 7: 3589-3606. https://doi.org/10.1002/fsn3.1212 https://doi.org/10.1002/fsn3.1212...
|
Exponential models or equations that show exponential growth characteristics |
asymptotic |
Logarithmic or Asymptotic |
|
Kiwi fruit drying kinetics (Sadeghi et al., 2019)Sadeghi E, Haghighi Asl A, Movagharnejad K. 2019. Mathematical modelling of infrared-dried kiwifruit slices under natural and forced convection. Food Science & Nutrition 7: 3589-3606. https://doi.org/10.1002/fsn3.1212 https://doi.org/10.1002/fsn3.1212...
|
asymptotic_i |
Henderson and Pabis or exponential bi-parametric model |
|
Orange seed drying (Rosa et al., 2015)Rosa DP, Cantú-Lozano D, Luna-Solano G, Polachini TC, Telis-Romero J. 2015. Mathematical modeling of orange seed drying kinetics. Ciência e Agrotecnologia 39: 291-300. https://doi.org/10.1590/S1413-70542015000300011 https://doi.org/10.1590/S1413-7054201500...
|
asymptotic_ineg |
Negative asymptotic without intercepto |
|
- |
biexponential |
Biexponential |
|
Atrazine degradation in soil (Swarcewicz and Gregorczyk, 2013)Swarcewicz MK, Gregorczyk A. 2013. Atrazine degradation in soil: effects of adjuvants and a comparison of three mathematical models. Pest Management Science 69: 1346-1350. https://doi.org/10.1002/ps.3510 https://doi.org/10.1002/ps.3510...
|
mitscherlich |
Mitscherlich’s Law |
|
Evaluation of the effect of pH on phosphate availability (Barrow et al., 2020)Barrow NJ, Debnath A, Sen A. 2020. Measurement of the effects of pH on phosphate availability. Plant and Soil 454: 217-224. https://doi.org/10.1007/s11104-020-04647-5 https://doi.org/10.1007/s11104-020-04647...
|
yieldloss |
Yield loss |
|
Relationship between weed density and yield loss (Cousens, 1985)Cousens R. 1985. A simple model relating yield loss to weed density. Annals of Applied Biology 107: 239-252. https://doi.org/10.1111/j.1744-7348.1985.tb01567.x https://doi.org/10.1111/j.1744-7348.1985...
|
hill |
Hill |
|
- |
MM |
Michaelis-Menten or rectangular hyperbola |
|
Pomegranate peel drying kinetics (Shimizu et al., 2020)Shimizu GD, Paula JCB, Neves CSVJ, Pacheco CA. 2020. Quality of pomegranate peel cultivar Valenciana as determined by different drying methods. Revista Brasileira de Fruticultura 42: 1-12. https://doi.org/10.1590/0100-29452020431 https://doi.org/10.1590/0100-29452020431...
|
|
SH |
Steinhart-Hart |
|
Density ratio of maize plants to grain dry mass (Zhai et al., 2021)Zhai L, Li H, Song S, Zhai L, Ming B, Li S, et al. 2021. Intra-specific competition affects the density tolerance and grain yield of maize hybrids. Agronomy Journal 113: 224-235. https://doi.org/10.1002/agj2.20438 https://doi.org/10.1002/agj2.20438...
|
PAGE |
Page |
|
Drying kinetics of Cydonia oblonga (Tzempelikos et al., 2015)Tzempelikos DA, Vouros AP, Bardakas AV, Filios AE, Margaris DP. 2015. Experimental study on convective drying of quince slices and evaluation of thin-layer drying models. Engineering in Agriculture, Environment and Food 8: 169-177. https://doi.org/10.1016/j.eaef.2014.12.002 https://doi.org/10.1016/j.eaef.2014.12.0...
, and Kiwi (Sadegui et al., 2019) |
newton |
Newton ou Lewis |
|
Kiwi (Sadegui et al., 2019) and onion drying kinetics (Sharma et al., 2005)Sharma G, Verma RC, Pathare P. 2005. Mathematical modeling of infrared radiation thin layer drying of onion slices. Journal of Food Engineering 71: 282-286. https://doi.org/10.1016/j.jfoodeng.2005.02.010 https://doi.org/10.1016/j.jfoodeng.2005....
|
potential |
Potential |
|
Kiwi fruit drying kinetics (Sadegui et al., 2019) |
midilli |
Midilli |
|
Kiwi fruit drying kinetics (Sadeghi et al., 2019)Sadeghi E, Haghighi Asl A, Movagharnejad K. 2019. Mathematical modelling of infrared-dried kiwifruit slices under natural and forced convection. Food Science & Nutrition 7: 3589-3606. https://doi.org/10.1002/fsn3.1212 https://doi.org/10.1002/fsn3.1212...
Effects of drying conditions on the functional and physical quality of dry autumn olives (Zannou et al., 2021)Zannou O, Pashazadeh H, Ghellam M, Hassan AM, Koca I. 2021. Optimization of drying temperature for the assessment of functional and physical characteristics of autumn olive berries. Journal of Food Processing and Preservation 45: 1-13. https://doi.org/10.1111/jfpp.15658 https://doi.org/10.1111/jfpp.15658...
|
midillim |
Midilli modified |
|
Kiwi fruit drying kinetics (Sadeghi et al., 2019)Sadeghi E, Haghighi Asl A, Movagharnejad K. 2019. Mathematical modelling of infrared-dried kiwifruit slices under natural and forced convection. Food Science & Nutrition 7: 3589-3606. https://doi.org/10.1002/fsn3.1212 https://doi.org/10.1002/fsn3.1212...
|
AM |
Avhad and Marchetti |
|
Drying kinetics of Hass avocado seeds (Avhad and Marchetti, 2016)Avhad MR, Marchetti JM. 2016. Mathematical modelling of the drying kinetics of Hass avocado seeds. Industrial Crops and Products 91: 76-87. https://doi.org/10.1016/j.indcrop.2016.06.035 https://doi.org/10.1016/j.indcrop.2016.0...
|
peleg |
Peleg |
|
Effects of drying conditions on the functional and physical quality of dry autumn olives (Zannou et al., 2021)Zannou O, Pashazadeh H, Ghellam M, Hassan AM, Koca I. 2021. Optimization of drying temperature for the assessment of functional and physical characteristics of autumn olive berries. Journal of Food Processing and Preservation 45: 1-13. https://doi.org/10.1111/jfpp.15658 https://doi.org/10.1111/jfpp.15658...
|