Mathematical modeling of soil humus loss

N. N. Semenova ; N. E. Orlova

Matematičeskaâ biologiâ i bioinformatika, Tome 7 (2012) no. 1, pp. 360-371.

Résumé

There are offered the following theoretical approaches to modelling of soil humus loss: using simple linear balance equations and taking into account the effects of feedbacks and the nonlinearities in the mineralization and humification rates of soil organic matter. The strengths and weaknesses of these approaches are showed in conditions of low levels of farming by the analysis of the dynamics of organic matter in the soddy podzolic soils with different granulometric composition.

Bibliographie

[1] Gilmanov T.G., “Matematicheskaya model protsessa nakopleniya gumusa v stepnykh pochvakh”, Byull. Pochv. in-ta VASKhNIL, 1975, no. 10, 78–84

[2] Hunt H.W., “A simulation model for decompositions in grasslands”, Ecology, 58 (1977), 469–484 | DOI

[3] Chertov O.G., “Imitatsionnaya model mineralizatsii i gumifikatsii lesnogo opada i podstilki”, Zhurn. obschei biologii, 46 (1985), 794–804

[4] Mamikhin S.V., Tikhomirov F.A., “Model mnogoletnei dinamiki stabilnogo ugleroda i S$^{14}$ v tselinnykh chernozemakh stepnogo biogeotsenoza”, Vestn. MGU, ser. 17, 1984, no. 4, 13–18 | MR

[5] Kerzhentsev A.S., Kuznetsov M.Ya., Kuznetsova E.V., “O modelirovanii protsessa transformatsii organicheskogo veschestva v pochve”, Informatsionnye problemy izucheniya biosfery, Puschino, 1988, 76–84

[6] Chertov O.G., Komarov A.S., “Imitatsionnaya model dinamiki organicheskogo veschestva pochv”, Vestnik SPbGU. Ser. 3. Biologiya, 1996, no. 1, 104–109

[7] Parton W.J., Stewart J.W.B., Cole C.V., “Dynamics of C, N, P i S in grasslands soils: a model”, Biogeocemestry, 5 (1988), 109–113 | DOI

[8] Jenkinson D.S., Hart P.B.S., Rajner J.H., Parry L.C., “Modelling the turnover of organic matter”, INTECOL BULL., 1987, no. 15, 1–8

[9] Chertov O.G., Komarov A.S., Nadporozhskaya M.A., Bykhovets S.S., Zudin S.L., “ROMUL — a model of forest soil organic matter dynamics as a substantial tool for forest ecosystem modeling”, Ecological modelling, 138 (2001), 289–308 | DOI

[10] Leitea L.F.C., de Sá Mendonca E., de Almeida Machado P.L.O., Filho E.I.F., Neves J.C.L., “Simulating trends in soil organic carbon of an Acrisol under no-tillage and discplow systems using the Century model”, Geoderma, 120 (2004), 283–295 | DOI

[11] Smagin A.V., “K teorii ustoichivosti pochv”, Pochvovedenie, 1994, no. 12, 26–33

[12] Riznichenko G.Yu., Matematicheskie modeli v biofizike i ekologii, Iki, M., 2003, 184 pp.

[13] Manzoni S., Porporato A., “A theoretical analysis of nonlinearities and feedbacks in soil carbon and nitrogen cycles”, Soil Biology and Biochemistry, 39 (2007), 1542–1556 | DOI

[14] Ryzhova I.M., Shamshin A.A., “Sravnitelnyi analiz ustoichivosti pochv prirodnykh i agroekosistem v ramkakh nelineinoi matematicheskoi modeli krugovorota ugleroda”, Pochvovedenie, 1997, no. 10, 1265–1273

[15] Semenova N.N., Orlova N.E., “Analiz protsessa degumifikatsii dernovo-podzolistykh pochv s ispolzovaniem dinamicheskikh matematicheskikh modelei”, Matematicheskie modeli i informatsionnye tekhnologii v selskokhozyaistvennoi biologii, materialy vserossiiskoi konferentsii, AFI, INENKO RAN, S.-Peterburg, 2010, 154–155

[16] Orlova N.E., Semenova N.N., “Dinamicheskie matematicheskie modeli v issledovanii protsessa degumifikatsii dernovo-podzolistykh pochv”, Resursnyi potentsial pochv — osnova prodovolstvennoi i ekologicheskoi bezopasnosti Rossii, materialy mezhdunarodnoi konferentsii, posvyaschennoi 165-letiyu Dokuchaeva V. V., S.-Peterburg, 2011, 294–295

[17] Orlova N.E., Bakina L.G., “Kolichestvennaya otsenka amplitudy sezonnykh kolebanii soderzhaniya gumusa v pochvakh Severo-Zapada Rossii”, Gumus i pochvoobrazovanie, Izd. SPbGAU, SPb., 2001, 14–23

[18] Orlova N.E, Bakina L.G., Dmitricheva L.E., “Osobennosti sezonnoi transformatsii organicheskogo veschestva dernovo-podzolistoi suglinistoi pochvy”, Gumus i pochvoobrazovanie, Izd. SPbGAU, SPb., 2002, 13–21

[19] Orlova N.E., Bakina L.G., Orlova E.E., “Mekhanizmy sezonnoi transformatsii gumusa pochv Severo-Zapada Rossii”, Vestnik SPbGU. Ser. 3. Biologiya, 2006, no. 1, 13–18

[20] Orlova N.E., Bakina L.G., Orlova E.E., Gavrikov E.V., “Osobennosti transformatsii organicheskogo veschestv okulturennykh dernovo-podzolistykh pochv v sovremennykh usloviyakh”, Pochvennye resursy Severo-Zapada Rossii: ikh sostoyanie, okhrana i ratsionalnoe ispolzovanie, materialy mezhregion. nauchno-prakt. konf. (13 maya 2008 g.), SPb., 2008, 159–163

[21] Ponomareva V.V., Plotnikova T.A., Gumus i pochvoobrazovanie (metody i rezultaty izucheniya), Nauka, L., 1980, 222 pp.

[22] Andren O., Katterer T., “ISVM: The introductory carbon balance model for exploration of soil carbon balances”, Ecological Appl., 7 (1997), 1226–1236 | DOI

[23] Orlova N.E., Orlova E.E., Bakina L.G., Gavrikov E.V., “Ustoichivost razlichnykh komponentov gumusa dernovo-podzolistykh i dernovo-karbonatnykh pochv k degradatsionnym protsessam”, Antropogennaya transformatsiya prirodnoi sredy, materialy mezhdunarodnoi konf. (18–21 oktyabrya 2010 g.), Perm, 2010, 83–88 | MR

[24] Six J., Conant R.T., Paul E.A., Paustian K., “Stabilization mechanisms of soil organic matter: implications for C-saturation soils”, Plant and Soil, 241 (2002), 155–176 | DOI