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RothC Official Rothamsted Research Release (R Version)

Oct 2026 · Zenodo (CERN European Organization for Nuclear Research)

Abstract

The Rothamsted carbon model (RothC) Purpose RothC models the turnover of organic carbon in non-waterlogged top-soil. It accounts for the effects of soil texture, temperature, moisture content and plant cover on the turnover process. It uses a monthly time step to calculate total organic carbon (t ha -1), microbial biomass carbon (t ha -1) and Δ14C (from which the equivalent radiocarbon age of the soil can be calculated). This release Version 2.1.3: This version corrects variables named BulkD to BD. Restructures code to tidy the moisture function calculations and achieve the same results without the global assignment of SMD. Adds explicit return statements to the rate modifying factors. Adds a maximum iteration of the spin-up corresponding to 20000 years to avoid infinite non-convergence (which is unlikely but now covered). Changes iom to IOM in the input file as this is the only instance of lower case for this. Model history The first version of RothC created by David Jenkinson and James Rayner in 1977 (Jenkinson and Rayner, 1977). In 1987 an updated version was published, see Jenkinson et al. (1987). This version included the prediction of the radiocarbon age of the soil, the pools POM (physically stabilized organic matter) and COM (chemically stabilized organic matter) were replaced with Hum (humified organic matter) and IOM (inert organic matter), and the microbial biomass pool was split into BioA (autochthonous biomass) and BioZ (zymogenous biomass). In 1990, the two biomass pools were combined into a single pool (Jenkinson, 1990) this version is the standard version of the model (version 1.0.0) Farina et al. (2013) modified the soil water dynamics for semi-arid regions (version 2.0.0). Organic input composition (i.e. proportions going to each active pool are specified more explicitly and accessibly than previous versions) (version 2.1.0). Other published developments of the model include: Giongo et al. (2020) created a daily version and modified the soil water dynamics, for Caatinga shrublands, in the semiarid region, North-East Brazil. Description of files included RothC_description.docx This file contains the description of the model. RothC.for This file contains the RothC code, it can be used as a standalone subroutine or used with shell.for to create an exe file. Details of the inputs required, pools modelled, and units are in the code. Shell.for This file is intended as an example of how to: 1) read in the input data 2) call the subroutine 3) created monthly and yearly outputs The file can be used to create a standalone exe, or you can replace it with your own code to call and run RothC. Details of the inputs required, pools modelled, and units are in the code. RothC_input.dat This file contains input variables for the model. Value for the opt_RMmoist option can be 1, 2, or 3 Value for the opt_SMDbare option can be 1 or 2 Then values for clay (%), soil depth (cm), inert organic matter (IOM, t C ha-1), number of steps (nsteps), silt (%), bulk density (BD, g cm-3), organic carbon (OC, %), and minRM_Moist which is the minimum value to be used for the rate-modifying for soil moisture (default = 0.2) are recorded. The last four variables are only read in when opt_RMmoist is 2 or 3. Following that there is a table which records monthly data on year, month, percentage of modern carbon (%), mean air temperature (Tmp, °C), total monthly rainfall (Rain, mm), total monthly open-pan evaporation (Evap, mm), all plant carbon input entering the soil (from plants, roots, root exudates) (C_inp, t C ha-1), carbon input from organic amendment (OA, t C ha-1), plant cover (PC, 0 for no plants e.g. bare or post-harvest, 1 for plants e.g. crop or grass), and the allocations of plant material to DPM and RPM pools (PL_DPM_f and PL_RPM_f; sum = 1), and allocations of organic amendment to DPM, RPM, Bio, and Hum pools (OA_DPM_f, OA_RPM_f, OA_Bio_f, and OA_Hum_f; sum = 1). year_results.out This file contains the yearly values of the SOC (both the pools and Total) and the delta 14-carbon. The pools are:YearMonth - Always December for the yearly outputDPM_t_C_ha - Decomposable plant material (t C ha-1)RPM_t_C_ha - Resistant plant material (t C ha-1)BIO_t_C_ha - Microbial biomass (t C ha-1)HUM_t_C_ha - Humified organic matter (t C ha-1)IOM_t_C_ha - Inert organic matter (t C ha-1)SOC_t_C_ha - Total soil organic carbon (t C ha-1)CO2_t_C_ha - Accumulated carbon dioxide (t C ha-1)deltaC - delta 14C (‰) The total organic carbon (soil organic carbon) is equal to the sum of the 5 pools. TOC or SOC = DPM + RPM + BIO + HUM + IOM The included file was generated using opt_RMmoist = 1 and opt_SMDbare = 1 month_results.out This file contains the monthly inputs, rate modifying factors, SOC pools. YearMonthC_Inp_t_C_ha - C input (t C ha-1)FYM_Inp_t_C_ha - Farmyard manure (t C ha-1)TEMP_C - Air temperature (C)RM_TMP - Rate modifying factor for temperature (-)RAIN_mm - Rainfall (mm)PEVAP_mm - Open pan evaporation (mm)SWC_mm - Accumulated soil water deficit (mm)RM_Moist - Rate modifying factor for soil moisture (-)PC - Soil plant cover (0 bare or 1 covered)RM_PC - rate modifying factor for crop coverDPM_t_C_ha - Decomposable plant material (t C ha-1)RPM_t_C_ha - Resistant plant material (t C ha-1)BIO_t_C_ha - Microbial biomass (t C ha-1)HUM_t_C_ha - Humified organic matter (t C ha-1)IOM_t_C_ha - Inert organic matter (t C ha-1)SOC_t_C_ha - Total soil organic carbon (t C ha-1)CO2_t_C_ha - Accumulated carbon dioxide (t C ha-1) The included file was generated using opt_RMmoist = 1 and opt_SMDbare = 1 Requirements The code was written in R version 4.2.3. but only uses basic R functions, alongside those defined for the model. The code as written uses an identical input file structure to the other languages we have releases for RothC (Fortran and Python). Example of how to run the model The file RothC_input.dat contains all the input data needed to run the model. The month results (month_results.out) and year results (year_results.out) files correspond to this input file as an example. The model is normally run to equilibrium using average temperature, rainfall, open pan evaporation, an average carbon input to the soil, the equilibrium run is to initialise the soil carbon pools. Once the soil carbon pools have been initialised, the model is run for the period of interest. The met data (temperature, rainfall and evaporation) can be average or actual weather data. The carbon input to the soil can be: 1) adjusted so the modelled output matches the measured data, or 2) can be estimated from yield or biomass data (Bolinder et al., 2007), or NPP data. As mentioned in the file descriptions, the code has been provided as a standalone script and as a function script taking the filepath of the input file as an argument. References Bolinder MA, Janzen HH, Gregorich EG, Angers DA, VandenBygaart AJ. An approach for estimating net primary productivity and annual carbon inputs to soil for common agricultural crops in Canada. Agriculture, Ecosystems & Environment 2007; 118: 29-42. Farina R, Coleman K, Whitmore AP. Modification of the RothC model for simulations of soil organic C dynamics in dryland regions. Geoderma 2013; 200: 18-30. Giongo V, Coleman K, Santana MD, Salviano AM, Olszveski N, Silva DJ, et al. Optimizing multifunctional agroecosystems in irrigated dryland agriculture to restore soil carbon - Experiments and modelling. Science of the Total Environment 2020; 725. Jenkinson DS. The Turnover of Organic-Carbon and Nitrogen in Soil. Philosophical Transactions of the Royal Society of London, Series B: Biological Sciences 1990; 329: 361-368. Jenkinson DS, Hart PBS, Rayner JH, Parry LC. Modelling the turnover of organic matter in long-term experiments at Rothamsted. INTECOL Bulletin 1987; 15: 1-8. Jenkinson DS, Rayner JH. Turnover of soil organic matter in some of the Rothamsted classical experiments. Soil Science 1977; 123: 298-305.

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