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    Europ. J. Agronomy 28 (2008) 526540

    Agrophysiological characterisation and parametrisation ofAndean tubers: Potato (Solanum sp.), oca (Oxalis tuberosa),

    isano (Tropaeolum tuberosum) and papalisa(Ullucus tuberosus)

    Bruno Condori a,1, Pablo Mamani a,1, Ruben Botello a,1, Fernando Patino a,1,Andre Devaux b,2, Jean Francois Ledent c,

    a

    Fundacion Para la Promocion e Investigacion de Productos Andinos, Casilla 1079, La Paz, Boliviab Centro Internacional de la Papa, P.O. Box 1558, Lima 12, Peruc Unite dEcophysiologie et dAmelioration Vegetale, Universite Catholique de Louvain,

    Croix du Sud, 2 bte 11, 1348 Louvain-la-Neuve, Belgium

    Received 28 June 2007; received in revised form 8 December 2007; accepted 10 December 2007

    Abstract

    Bolivia is part of the eight most important centres of biodiversity and domestication of plants in the world, including a broad diversity of

    Andean grains, roots and tubers. A study was implemented to obtain the quantitative information to develop and validate, a simple growth potential

    model of Andean tubers in production areas located above 3000 m altitude, and to analyze the difference between species in growth attributes

    and the resulting tuber production. Three potato species and sub-species (Solanum tuberosum ssp. andigenum and ssp. tuberosum, and Solanum

    juzepczukii) as well as Oca (Oxalis tuberosa), Isano (Tropaeolum tuberosum) and Papalisa (Ullucus tuberosus) were studied. Trials were conducted

    under normal field conditions prevailing in Bolivia but with the best cropping techniques available locally to obtain optimal growing conditions.Data on dry weight (of leaves, stems, tubers and roots) and leaf area were taken at several dates in five trials conducted between 1993 and 2003.

    The percentage of ground cover was also measured. Beta functions were fitted to data of dry weight and leaf area to establish growth curves.

    The potato groups have a smaller cycle duration than other Andean tubers. The Crop Growth Analysis indicated three important characteristics

    differentiating Andean tubers: the S. juzepczukii potato has a high Relative Growth Rate (RGR) and a higher leaf mass ratio but a smaller tuber

    yield, due to a smaller harvest index (HI) and a very low Net Assimilation Rate (NAR). S. tuberosum ssp. tuberosum potatoes have smaller Leaf

    Area Index (LAI), and RGR than juzepczukii, but their NAR and HI are higher. S. tuberosum potatoes are quite productive for the size of their

    LAI. The Tropaeolum tuberosum or Isano has a great capacity of Ground Cover (GC) or a great LAI that is not translated into a greater tubers

    yield. It has low RGR, NAR and HI compared to all the other species studied. The crop growth was interpreted in Light Use Efficiency (LUE) and

    evolution of light interception through a linear model. The LUE of potato group is more elevated than the LUE of the other Andean tubers. Within

    each group there is no statistical difference for the LUE value. The relationship of LAI with GC or fraction of light interception was determined

    with both linear and exponential relations. The low slope value for the relationship between LAI and GC characterises all Andean tubers studied

    compared to results reported for potato under other latitudes.

    2007 Elsevier B.V. All rights reserved.Keywords: Native potato; Andean tuber; Growth analysis; Light use efficiency

    Corresponding author. Tel.: +32 10 47 34 58; fax: +32 10 47 20 21.

    E-mail addresses: [email protected] (B. Condori),

    [email protected] (P. Mamani), [email protected] (R. Botello),

    [email protected] (F. Patino), [email protected] (A. Devaux),

    [email protected](J.F. Ledent).1 Tel.: +591 22 141209.2 Tel.: +511 349 6017.

    1. Introduction

    Bolivia is part of the eight most important centres of biodiver-

    sity and domestication of plants in the world, including a broad

    diversity of Andeangrains, roots andtubers. Amongst thetubers,

    the mostwidespreadthrough the Andes sincepre-Hispanic times

    are oca (Oxalis tuberosa Molina), isano (Tropaeolum tubero-

    sum Ruiz and Pavon), papalisa (Ullucus tuberosus Caldas) and

    1161-0301/$ see front matter 2007 Elsevier B.V. All rights reserved.

    doi:10.1016/j.eja.2007.12.002

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    B. Condori et al. / Europ. J. Agronomy 28 (2008) 526540 527

    potato (Solanum ssp. L.) (Contreras, 2001; Rea, 1998). Of these

    tubers, potato is the most known and grown over the world,

    followed by oca, even though oca is produced only in Mex-

    ico and New Zealand (CIED, 2002) outside the Andes. The

    other tubers are specific to the Andean highlands. Superficies

    of Andean tubers other than potatoes are not known with preci-

    sion but in the regions where potatoes are in rotation with other

    Andean tubers the superficies should be approximately equal

    (potatoes and other Andean tubers).

    The composition and the number of varieties which consti-

    tute the Andean tubers germplasm is very heterogeneous and

    the quantities of seed material in collections is limited hence

    a risk of loss of biodiversity. The banks of germplasm kept in

    Toralapa (Bolivia) contain 1200 accesions of potato, 500 de oca,

    200 de papalisa, and 80 de isano (Garcia and Cadima, 2003).

    Except for isano which is mainly used for feeding pigs Andean

    tubers are grown chiefly for human consumption under differ-

    ent forms (fresh, boiled, fried, oven cooked, stewed, as soups,meal obtained after dehydration, etc.). There is also some use as

    medicinal plants.

    Some studies on the nutritional value and rusticity of Andean

    tubers confirm them as alternatives to cover increasing demands

    in human and animal food and in industry, however, there

    is still little knowledge of the growth dynamics and poten-

    tial production characteristics of such tubers (CIED, 2002). It

    is a known fact that Andean tubers played a multiplicity of

    roles in human activities since pre-Hispanic times; however, at

    present such tubers are almost forgotten and therefore under-

    used, with the exception of potato (NRC, 1989; Tapia, 1994;

    Rea, 1998).

    Bolivia has a broad diversity of cultivated and wild potatoes,

    7 and 31 species, respectively, as noted by Ochoa (1990). But of

    the seven species cultivated, three can be cited as more impor-

    tant. In order of importance and market presence, the sub-specie

    Solanum tuberosum ssp. andigenum with the Waycha cultivar

    should be cited as one of the variety most appreciated by the

    consumers, both rural and urban. It is followed by Solanum

    juzepczukii with the bitter cultivar Luki and Solanum tuberosum

    ssp. tuberosum with the cultivars Alpha and Desiree (Irigoyen,

    2002). Due to its high concentration of glycoalkaloids, Luki has

    a bitter taste when consumed fresh without processing (Ochoa,

    1990). For this reason it is processed into a frozen and dehy-

    drated product called chuno or tunta before consumption, usinga traditional processing method. One of its favourable attributes

    is that it can be grown in the highest areas (at elevations over

    3000 m) due to its tolerance to frost (Rea, 1992). Alpha is a

    cultivar introduced from Europe, it is better adapted to milder

    areas, with the advantage of a shorter cycle, it becomes a winter

    production alternative in semi-tropical regions of Bolivia, even

    though its presence in the market is relatively recent and still

    small (Irigoyen, 2002).

    It is noteworthy that in Bolivia compared to other Andean

    countries, the yield of tuber crops, potato included, is low in

    spite of the rusticity of the species and varieties used and even

    though they are genetic resources from this region (OEA, 1996).This could be due to several factors, such as the technological,

    socioeconomic and cultural factors. Another factor is the poor

    knowledge about the growth and production processes of the

    Andean tubers (Tapia, 1994; Zeballos, 2006).

    Most national statistics or authors mention potato as the tuber

    of reference and only in very specific occasions oca and papal-

    isa are mentioned. Official reports indicate that mean domestic

    yieldsof freshtubersare about 6 t/hafor potato, 3 t/hafor oca and

    4 t/ha for papalisa (Montes de Oca, 1992; Tapia, 1994; Zeballos,

    1997, 2006; INE, 1999). No official reports on isano yields are

    available, though some studies indicate that isano yields can

    be quite higher than potato yields (CIED, 2002). However, in

    other research reports, values higher than the national mean can

    be found: Gonzales et al. (1997) indicate means of 25 t/ha of

    tubers for potato and oca, and 30 t/ha for isano in farmers plots

    of the Candelaria area, a agrobiodiversity zone in Cochabamba.

    Other researchers, such as Iriarte (2003, personal communica-

    tion), indicate that in communities close to the area surrounding

    LakeTiticaca yieldsof 2731 t/ha of oca, and 3841 t/ha of isano

    can be found. Quispe et al. (1997) reports yields of 30 t/ha ofpotato, 22 t/ha of oca and 33 t/ha of isano. Reports on isano

    yields are noteworthy, since yields ranging from 9 to 74 t/ha

    can be found (Grau et al., 2003). Research reports on papalisa

    indicated that its yield could reach 33 t/ha (Garcia and Cadima,

    2003).

    This gap between maximum yields and average yields shows

    the necessity to consolidate a clear and accurate knowledge

    based on the characterisation of Andean tubers, describing

    the main agrophysiological indices to determine their growth

    under average and optimal conditions, and thus understand their

    functioning. This could serve to establish criteria of genetic

    improvement for the development of cultivars, criteria of crop

    management and parameters to be used in simulation systems

    for improving the crop management and thus achieving better

    yields.

    Oneway in which development and growthdynamicsin plant

    species can be studied and explained is through Crop Growth

    Analysis, an explanatory, holistic and comprehensive approach

    to interpret plant form and function (Clawson et al., 1986; Hunt,

    1982; Hunt et al., 2002). Growth analysis techniques are based

    on a description of the physiological performance of a species,

    considering that the accumulation of carbon is determined by

    the amount of foliage and their daily photosynthetic efficiency.

    Some studies on the growth and production of Andean tubers

    have addressed specific aspects according to the objective ofeach study, such as phenology, fertilization, and hydroponics,

    both in Bolivia (Quispe et al., 1997; Valdivia et al., 1998)

    and Peru (Valladolid et al., 1984; Gomez et al., 2001) using

    growth analysis techniques. The above studies used different

    methodologies, such as classic growth analysis (Hunt, 2003)

    or functional analysis of growth according to Hunt (1979,

    1982) and Hunt et al. (2002), where polynomial equations are

    fitted to values of the coordinates of points measured through

    time to obtaine trend values. The coefficients of these equa-

    tionscannot be biologically explained; moreover, Poorter (1989)

    indicates that suchgrowth curves may exhibit erratic behaviours.

    A relatively recentalternative to plot growthcurves is theBetafunction proposed by Yin et al. (2003). It is presented as one of

    the most versatile functions to describe growth curves and to

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    use for agronomic interpretation and characterisation purposes,

    because plotting of such curves requires three parameters clearly

    explainable and easily measurable in the field. This function

    makes an easier description and interpretation of a crop growth

    analysis (CGA).

    Considering the above, this study is intended to characterise

    and analyze different Andean tubers through the comparison

    of their agrophysiological attributes and their growth dynamics

    under their natural agroecological conditions. In another paper

    the growth model for native potato species will be analyzed.

    2. Materials and methods

    2.1. Genetic material

    For this study, three genotypes of potato, one of oca, one of

    isano and one of papalisa were used. For potato, the species and

    sub-species studied were: S. juzepczukii (JUZ) with the bittercultivar Luki; Solanum tuberosum ssp. andigenum (AND) with

    the cultivar Waycha; Solanum tuberosum ssp. tuberosum (TUB)

    with the cultivar Alpha. In oca or O. tuberosa (OXA) the cultivar

    Pukanawi was used. In Isano or T. tuberosum (TRO) the cultivar

    Anaranjado was used. In papalisa or U. tuberosus (ULL) the

    cultivar Manzana wasused; these potato, oca, isano and papalisa

    cultivars are the most widespread amongst farmers of the studied

    area.

    2.2. Trials

    For the growth and development study of Andean tubersseveral trials were conducted in Toralapa, Candelaria and Pat-

    acamaya, in Bolivia (Table 1). The trials were conducted in

    experimental stations (Toralapa and Patacamaya) and in farm-

    ers fields (Candelaria) but in all cases there was a cooperation

    between researchers and local farmers for the cultivation and

    crop management. The crops were managed according to the

    best local cropping techniques. Toralapa is located at an ele-

    vation of 3430 m, at 1730 SL and 6540 WL. The average

    temperature in this location is 11 C, relative moisture 55%, and

    annual rainfall 500 mm. Candelaria is located at an elevation of

    3265 m, 1716 SL and 6566 WL. The average temperature

    in this location is 11 C, relative moisture is 80%, and rainfall

    950 mm (CIDETI, 1994). Patacamaya is located at an elevation

    of 3800 m, at 1714 SL and 6755 WL. The average temper-

    ature in this zone is 11.2 C, with relative moisture 50%, and

    rainfall 385 mm (Montes de Oca, 1992). The station of Pataca-

    maya closed in 2000 but it was still in activity at the time of

    these trials.

    In these areas the potato is usually the first crop of the rota-

    tion system. In Patacamaya and Toralapa potatoes are planted

    after a rest period (fallow) of 23 years, but in Candelaria,

    because the cropping system is more intensive there is no fal-

    low period. In the three locations, the Andean tubers come

    always as third or fourth crop in the rotation after potato, quinoa,

    and faba bean. During the trial implementation, cropping tech-

    niques included fertilization, weeding, ridging and preventive

    phytosanitary treatments to ensure plant health and obtain the

    maximum yield under these conditions.

    Planting density was47,600 plantsper hectare, with distances

    of 0.7 m between furrows and 0.30 m between plants. For fer-tilization, 801600 to 8016060 kg/ha of N, P2O5 and K2O

    were applied, based on soil requirements, and additional irriga-

    tion was also used as required and as available (e.g., additional

    irrigation was performed in Patacamaya). The planting dates

    were the same for the different Andean tubers but the harvest

    date was established according to maturity and development

    cycle of the Andean tubers tested (Table 1).

    Pests and diseases treatments against late blight (Phytoph-

    thora infestans (Mont. de Bary) were applied using Man-

    cozeb+ metalaxil (Ridomil MZ) and Clorotalonil (Bravo 500),

    Andean weevil (Premnotrypes latithorax Pierce, Premnotrypes

    solaniperda Kuschel, and Rigopsidius tucumanus Heller) and

    moth (Phthorimaea operculella Zeller, Symetrischema tango-

    lias Gyen, Paraschema detectendum Povolny) by synthetic

    cipermetrine-based pyrethroids (Karate) and clorpirifos (Lors-

    ban).

    Experimental plots for each trial were arranged in complete

    randomised blockswith three or four repetitions,the surface area

    of each experimental plot ranged from 21 to 29.4 m2 (Table 1).

    2.3. Data collection

    Daily measurements of maximum and minimum tempera-

    tures, global solar radiation and rainfall were recorded using

    Table 1

    Description of the trials conducted to study the growth curves of Andean tubers

    Trial Elevation

    (m)

    Mean

    temperaturea (C)

    Species studied Planting date Harvest date Cycle

    (days)

    Number of

    harvests

    Plot repetition Soil typeb

    Toralapa 3430 11.4 TUB, AND, JUZc 22/10/1993 13/04/1994 174 6 29.4 m2 4 SL

    Patacamaya 3800 11.1 TUB, AND, JUZ 19/10/1998 20/04/1999 184 5 21.0 m2 4 SL

    Toralapad 3430 11.5 OXA, TRO 18/10/1995 08/05/1996 204 9 26.3 m2 4 SL

    Candelaria 3265 11.0 OXA, TRO, ULL 16/10/1998 30/05/1999 227 5 24.0 m2 3 L

    Candelaria 3260 11.4 OXA, TRO, ULL 19/09/2003 27/04/2004 221 5 21.0 m2 3 SL

    a Air temperature data are mean data from emergence to harvest.b SL, silty loam. L, loamy. SL, sandy loam.c Species and sub-species of potato: JUZ is Solanum juzepczukii; AND is Solanum tuberosum ssp. andigenum; TUB is Solanum tuberosum ssp. tuberosum. Other

    Andean tubers: OXA is Oxalis tuberosa, TRO is Tropaeolum tuberosum and ULL is Ullucus tuberosus.d Part of the data of this trial were published by Quispe et al. (1997).

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    automatic or manual weather climate measurement equip-

    ment located on experimentation sites. Periodical sampling of

    biomass was performed five to nine times from emergence

    to final harvest, according to the availability of plants to be

    destroyed (Table 1). Harvests or samplings were determined

    based on four phenological macro-stages. Thus, the first harvest

    was determined at the onset of foliage formation upon com-

    pletion of plant emergence; the second harvest was made at

    the onset of tuberisation and flowering whereas the third one

    occurred at the maximum development of foliage and physio-

    logical maturity. The last harvest took place when plants had at

    least half of their foliage in senescence and their tuber skin fully

    set.

    In each experimental unit and in each sampling, the fresh and

    dry weights of four plants fractioned in leaves (L), stems (S) and

    tubers (T) were measured. The sum of L plus S gives foliage

    weight (Sh). The sum of Sh plus T is the total biomass (W).

    Leaf Area Index (LAI) was measured using an area meter (LI-COR, model LI-3000A, Lincoln, USA). The LAI is the ratio

    of the foliar surface per unit of soil surface. Root (R) weight

    was measured but not included in the total plant weight, due to

    its variability caused by the difficulty of separating roots from

    the soil. Root growth is only taken into account to calculate its

    proportion in the total biomass. The ideal size of potato sam-

    ples has been reported to be of six to nine plants for studies

    on nitrogen concentration (Goffart et al., 2000), a coefficient

    of variation (CV) from 4 to 8% being obtained in that case. In

    this study, the plant samples were only used to determine the dry

    matter concentration. The ground cover (GC) of leaf canopy was

    also measured. This corresponds to the portion of soil surface

    hidden by the canopy when seen from above. These readings

    were made periodically, every 15 days, from emergence to a

    short time before the harvest, using a mesh grid of 100 rectan-

    gles of 7 cm 9 cm, obtained from the multiple of the distance

    between furrows and the distance between plants, respectively.

    The ground cover data was taken to estimate directly the crop

    capacity to intercept light during the vegetative cycle (Haverkort

    et al., 1991).

    2.4. Data analysis

    2.4.1. Final yield of total biomass and tubers

    The last harvests of each cropping cycle were used to cal-culate the fresh tuber yields (FTY in t/ha). The dry tuber yield

    (DTY in kg/ha) was determined from the fresh yield using the

    percentage of dry matter in tubers (DMT in %). The Harvest

    Index (HI) was determined by the ratio of DTY to total dry

    matter (TDM in kg/ha).

    2.4.2. Crop growth analysis

    In Crop Growth Analysis, three main aspects will be pre-

    sented: the accumulation of biomass in the different plantorgans;

    the distribution of assimilates generated by each part of the plant

    (stems and leaves versus tubers); the estimates of the different

    absolute and relative rates and indices of the CGA itself. A sum-mary of the parameters and variables of this study is described

    in Table 2.

    Table 2

    Abreviations, list of variables and parameters used in the growth analysis

    Abbreviation Description Units

    A Leaf area m2/m2

    AGR Absolute growth rate g/day, Eq. (3)CGA Crop growth analysis

    Cm Maximum value of the absolute

    growth rate

    g/m2, Eq. (2)

    DMT Dry matter concentration in tubers %

    DTY Dry tuber yield kg/ha

    FTY Fresh tuber yields t/ha

    GC Ground cover Fraction

    HI Harvest index %

    L Leaf weight g/m2

    LAI Leaf area index m2/m2

    LAR Leaf area ratio m2/g, Eq. (6)Eq. (7)

    LMR Leaf mass rate g/g, Eq. (7)

    LUE Light use efficiency g/MJ

    NAR Net assimilation rate g m2 day1, Eq. (5)

    PAR Photosynthetically active radiation MJ/m2

    R Root weight g/m2

    RGR Relative growth rate g g1 day1, Eq. (4)

    S Stem weight g/m2

    Sh Shoot weight g/m2

    SLA Specific leaf area m2/g, Eq. (6)

    T Tuber weight g/m2

    TDM Total dry matter kg/ha

    W Total plant weight (with out roots) g/m2

    Y Any growth parameter (W, T, Sh, R) g/m2, Eq. (1)

    Insideparenthesisis thenumber of referenceattributedin thetextto theequation

    used for calculating the parameter or variable.

    To construct the Beta-curves of accumulated biomass, we

    started with primary yield data (W, T, Sh,R) measured over timein several intermediate harvests, as described in data collection.

    Every data set (W, T, Sh,R) was subjected to a non-linear regres-

    sion analysis to obtain the growth curves over time expressed in

    days on a surface area of 1 m2 of soil. The regression was based

    on the Beta function (Yin et al., 1995, 2003), a more versatile

    and explanatory equation than a polynomialequation commonly

    used for CGA. The Beta function is of a sigmoid type with three

    clearly explanatory parameters, and based on two fundamental

    equations (Eqs. (1) and (2)):

    Y= Ymax

    1+

    te t

    te tm

    t

    te

    te/(tetm),

    with0 tm < te (1)

    Cm = Ymax

    2te tm

    te (te tm)

    tm

    te

    tm/(tetm)(2)

    Yis any growth parameter; tis the time in days after emergence;

    tm is the time when the maximum growth rate of Yis reached; teis the time when the growth period ends. Ymax is the maximum

    value ofYreached at te time (Eq. (1)). Cm is the maximum value

    of the absolute growth rate reached at tm time (Eq. (2)).

    The Beta regression was calculated with the Sigma Plot

    software (Evaluation Version 8.02) that calculates non-linearregression through iterations, and requires an initial approximate

    value for each parameter of the function.

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    Assimilates distribution, was characterised by the proportion

    of dry matter allocated in the different organs, leaves, stems and

    tubers, and its evolution through time was determined using the

    Beta-curves.

    The CGA (crop growth analysis) was based on the curves

    fitted to the Beta function: with total plant weight (W in g/m2),

    leaf area (A in m2/m2), or leaf weight (L in g/m2) as dependent

    variable. Using these curves the following growth parameters

    were determined: the Absolute Growth Rate (AGR) based on

    Eq. (3): the Relative Growth Rate (RGR) based on Eq. (4); the

    Net Assimilation Rate (TAN) by Eq. (5); the Specific Leaf Area

    (SLA) by Eq. (6); the Leaf Mass Rate (LMR) by Eq. (7). The

    Leaf Area Ratio (LAR) can also be determined by the product

    of Eqs. (6) and (7). These parameters have been discussed in

    several research works conducted since the turn of the century

    and are still used nowadays. Hunt (1982), Clawson et al. (1986)

    and Hunt et al. (2002) discuss their limitations and scope in

    detail.

    AGR =dW

    dt(g/day) (3)

    RGR =

    1

    W

    dW

    dt

    (g g1 day1) (4)

    NAR =

    1

    A

    dW

    dt

    (g m2 day1) (5)

    SLA =A

    L(m2 /g) (6)

    LMR =L

    W(g/g) (7)

    2.4.3. Measurement of the photosynthetic mechanisms and

    light use efficiency of the plant

    Evident relationships between LAI and GC exist for potato

    crop, and these range from a linear relationship to an exponen-

    tial relationship (Haverkort et al., 1991; Tourneux et al., 2003;

    Jefferies and Mackerron, 1989; Kooman, 1995). To determine

    whether or not the different species of Andean tubers show a

    relation to LAI, which is consistent with the models determined

    for potato, we conducted regression analyses on LAI and GC,

    pairing the data observed throughout the whole growth cycle ofthe crops.

    On the other hand, we determined light use efficiency (LUE)

    for each species of Andean tubers. This was performed by a

    linear regression analysis of the amount of intercepted photo-

    synthetically active radiation (PAR) and the total dry biomass

    produced over time. The PAR was calculated from global radia-

    tion data. The light interception fraction is measured directly by

    GC and can serve to estimate the accumulated value of the inter-

    cepted PAR, as explained by Haverkort et al. (1991). Studies

    conducted on potato all over the world demonstrate an average

    value of 2.8 g of dry matter for each MJ of intercepted light (Stol

    et al., 1991). TheLUE value for the other Andean tubers remainsunknown to this day. The program used for these analyses was

    also Sigma Plot (Evaluation Version 8.02).

    3. Results and discussion

    Fig. 1(A) shows the final yield for the fresh tubers (FTY)

    of various Andean species. In general, isano (TRO) shows the

    highest yield (55 t/ha) of all species, whereas papalisa (ULL)

    shows the lowest one (26 t/ha). Oca (OXA) has an average yield

    of 31 t/ha similar to potato. Amongst potatoes,the yieldsofandi-

    genum (AND) with 35 t/ha, and tuberosum (TUB) with 34 t/ha,

    do not differ significantly among them but both are statistically

    higher than the yield ofjuzepczukii (JUZ), with 31 t/ha.

    Dry matter concentration in the tuber (DMT) (Fig. 1(B)),

    differs significantly amongst the species. Broadly speaking, the

    potato group has the highest dry matter concentration (over

    23%), JUZ has the highest DMT value in the group, 33%,

    whereas for AND the intermediate DMT value of 26% is

    reached. Amongst the other Andean tubers, ULL has a percent-

    age of 18% dry matter, OXAhas a valueof 15% and TRO shows

    the lowest dry matter concentration in the tuber (8%). A higherconcentration of dry matter is known to be associated with better

    quality for processing or industrial uses.

    JUZ and AND have the highest dry matter yield (TDM),

    followed by TUB (Fig. 1(C)). Other Andean tubers, TRO and

    OXA have higher dry yields than ULL, but these three tubers

    have lower yields than the potato group. A trend in the total yield

    (TDM) and dry tuber yield (DTY) is found in the potato group,

    where differences, are found between JUZ, AND and TUB (in

    decreasing order of yield). In the other tubers, dry yield of OXA,

    ULL and TRO do not differ significantly (Fig. 1(C)). In this case

    too, the yield of these three Andean tubers is quite lower than in

    the potato group. These loweryields may be due to the capability

    of translocation of assimilates to the tuber characteristic of each

    species and expressed by the Harvest Index.

    Theabove statement can be explained by the harvest index HI

    (DTY/TDM ratio), which differs significantly among species. In

    the potato group, TUB shows the highest HI value, with 86%,

    followed by JUZ with 78% and AND with 67%. HI values of

    70% and 61% are observed for ULL and OXA, respectively,

    and the lowest value is found in TRO, with 42% ( Fig. 1(D)).

    Potatoes and other Andean tubers have been found to be highly

    productive species, meaning that the largest portion of the entire

    production of biomass, goes to tuber production, except in TRO.

    IndeedtheirHIs areover 61%. This is higherthan in other species

    of worldwide importance for food, such as grains (about 50%)or oil-seeds (about 35%) as Kooman (1995) mentions.

    The results for these five agronomic variables may be close

    to optimal or potential levels for the production systems where

    the trials were implemented. Indeed these data were gath-

    ered in trials minimizing stress caused by factors that can be

    affected by crop management (moisture, pests and soil fertil-

    ity) and under low population density with 100% emergence

    (47,600 plants/ha). In actual conditions of field production, the

    first factor that affects yields negatively is the seedheterogeneity,

    both in size and quality that results in an emergence rate below

    the planting density, crop heterogeneity and causes direct losses

    in the final yield. Climatic constraints affect plant performancein general and this applies also to emergence. In the trials con-

    ducted, the average emergence was 80%, even though selected

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    Fig. 1. Agronomic behaviour of Andean potatoes: S. t. ssp. tuberosum (TUB), S. juzepckzukii (JUZ) and S. t. ssp. andigenum (AND); other Andean tubers: Oxalis

    tuberosa (OXA), Tropaeolum tuberosum (TRO) and U. tuberosus (ULL); in (A) fresh tuber yield in t/ha (FTY); (B) percentage of dry matter in tubers (DMT); (C)

    total dry matter and dry tuber yield in kg/ha (TDM and DTY); (D) harvest yield (HI). Mean of the values observed in the final harvest, error bars were determined

    by all trials for each species. S. t. is Solanum tuberosum.

    seed of certified quality had been used. Our plots appeared more

    homogeneous (compared to some farmers plots) but we are

    aware that in field plots of homogenous appearance the samples

    corresponding to smallsurface areascan generate an overestima-

    tion up to 30% (Ledent, 2005 personal communication). Despite

    this possible overestimation our results show that a more rigor-

    ous management allows achieving yields several times higher

    than the yields reported in statistics and bibliography (Table 3).

    Relative yield was obtained by dividing the value of these poten-

    tial yields (Fig. 1(A)) by the domestic mean (Montes de Oca,

    1992; Tapia, 1994; Zeballos, 1997; INE, 1999) or by the mean

    of local data or trials conducted for research purposes (Garcia

    and Cadima, 2003).

    Our results allowed deducing some relations or ratiosbetween total dry biomass (TDM) and dry tuber yield (DTY)

    and between dry tuber yield (DTY) and fresh tuber yield. These

    ratios were obtained across environments and cultivars. These

    ratios although approximate may be useful to estimate biomass

    or dry tuber yield when only fresh tuber yield is available.

    3.1. Dry biomass accumulation

    The means observed for biomass (g/m2), i.e., total

    dry weight without roots (W= T+ Sh), tubers (T), shoots

    (Sh = leaves+ stems) and roots (R) were subjected to a non-

    linear regression analysis over time (days) by the Beta function.

    The three parameters of this function are descriptive, because

    they provide the value of the maximum growth rate at different

    times. They help us interpret the duration of the cropping cycle(Table 4). Determination coefficients r2 show a high fit of the

    Table 3

    Final yield on the trials for each Andean tuber, relative yields vis a vis potential yield, and two constants of production units transformation

    Andean tuber species Final yield (t/ha) Relative yields Transformations

    On the national mean On mean local data From TDM to DTY From DTY to FTY

    TUB 34.4 6.88 1.64 0.86 4.30

    JUZ 31.3 6.26 1.49 0.78 3.00

    AND 34.9 6.98 1.66 0.67 3.88

    OXA 30.5 10.17 2.03 0.61 6.63

    TRO 56.2 4.01 0.42 12.99

    ULL 25.3 6.25 1.67 0.70 5.78No official reports on the national yield of isano (TRO) are available. See Fig. 1 for abbreviations. TDM is total dry matter, DTY is dry tuber yield and FTY is fresh

    tuber yield.

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    Table 4

    Beta parameters and coefficients of determination for biomass accumulation in diverse organs of Andean tubers fitted by the Beta function

    TUB S.E. JUZ S.E. AND S.E. OXA S.E. TRO S.E. ULL S.E.

    Total weight (W= T+Sh)

    Cm 17.70 1.3 17.41 0.9 18.48 2.3 9.00 0.7 10.81 0.3 8.43 0.5Wm 1071.00 11.6 1007.82 8.02 1102.76 26.5 662.27 73.2 873.64 32.0 557.55 51.6

    tm 67 0.6 70 1.2 68 1.6 95 5.9 100 2.6 75 9.0

    te 104 0.9 104 1.9 104 2.3 137 17.0 147 1.5 115 15.9

    r2 0.96 ** 0.94 ** 0.90 ** 0.88 ** 0.86 ** 0.94 **

    Tubers (T)

    Cm 19.67 0.4 23.33 0.1 18.53 0.2 10.38 0.2 7.81 0.2 9.74 0.1

    Tm 951.34 3.8 659.01 14.9 792.83 21.6 460.86 18.9 401.77 16.3 431.27 15.3

    tm 74 0.2 90 0.6 78 1.4 118 1.9 115 2.1 95 1.5

    te 104 0.3 104 1.2 104 2.3 137 4.9 147 2.8 115 3.8

    r2 0.94 ** 0.90 ** 0.86 ** 0.88 ** 0.86 ** 0.83 **

    Shoots (Sh =L + S)

    Cm 4.16 0.3 8.24 0.8 7.16 0.5 3.88 0.2 8.81 0.2 3.64 0.1

    Shm 211.24 19.4 435.85 52.4 385.25 33.8 259.12 17.4 573.96 17.6 206.13 5.9

    tm 35 7.4 45 20.1 45 6.5 70 19.7 85 4.6 55 3.4te 75 2.9 82 13.9 83 2.6 112 11.9 122 2.1 92 1.4

    r2 0.79 ** 0.77 ** 0.79 ** 0.72 ** 0.69 ** 0.71 **

    Roots (R)

    Cm 0.16 0.53 0.53 0.18 0.70 0.21

    Rm 10.12 29.48 30.76 11.44 39.56 11.10

    tm 40 45 40 70 90 55

    te 90 85 85 110 120 89

    r2 0.42 ns 0.40 ns 0.35 ns 0.30 ns 0.38 ns 0.23 ns

    Where S.E. is the Standard Error; ns is r2 not significant. Wis the total weight of the plant, Tis the weight of the tubers, Sh is foliage weight, and R is root weight;

    all expressed in dry weight and g/m2. tis the time in days after emergence; tm is the time when the maximum growth rate of W(T, Sh or R) is reached; te is the time

    when the growth period ends. Wmax is the maximum value of W (T, Sh or R) reached at te time. Cm is the maximum growth rate reached at time tm expressed in

    g m2 day1.** r2 highly significant.

    Beta function for the different parts of the plants, except the

    roots.

    Fig.2 provides thegrowth curves foreach Andeantuberorgan

    and species. By way of example, we show the points observed

    for the total dry matter (W), where we have a high r2 (over 0.86

    in all species). This analysis allows a more accurate descrip-

    tion of the cropping cycle duration, both in days and in thermal

    time (base 0 C, Squire, 1995), considering a daily mean tem-

    perature of 11 C, accumulated as from emergence. This figure

    shows root growth, which is very reduced relative to the growth

    of other parts of the plant. Total root extraction was limited ineach sampling due to: sample extraction depth, involuntary cuts

    or breaking of roots due to the presence of gravel in the soil,

    losses during sample washings; for that reason R data was not

    considered in the total biomass sum.

    Fig. 2 shows the bars of Standard Error (S.E.) that compare

    the sampling of the species inside potato group and the other

    Andean tubers. To avoid filling the figure, and to make a simple

    presentation we showed the S.E. at three stages, at the begin-

    ning of the accumulation of biomass, at the maximal velocity of

    growth and in the final phase of accumulation of biomass. These

    stages are reached at 62, 102 and 144 DAP for the potato group

    and at 90, 133 and 177 DAP for the other Andean tubers (withslight variations of days). The S.E. bars are are given for these

    dates in the figures presenting CGA (Figs. 4 and 5).

    Four macro-stages or phenological phases (Kooman and

    Haverkort, 1995) were identified by the values of the parameters

    of the Beta function and the fitted curves (Table 5).

    Phase 0 of emergence, covers the period of time from plant-

    ing to emergence, determined by direct periodical counts of

    the population emerged over the total plants planted. This

    phase is considered reached when half of the population has

    emerged and takes 4060 days, depending on the species

    (Table 5).

    Phase 1, of onset of tuberisation goes from emergence to the

    onset of tuberisation when the biomass of tubers reaches 1 g/m2as calculated by the Beta function. Leaf development occurs

    mainly in this phase, that lasts 2265 days depending on the

    species and includes the onset of tuberisation, which requires

    253726 C days (base temperature of 0 C) depending on the

    species (Table 5).

    Phase 2, of maximum total growth rate goes from the onset

    of tuberisation to the maximum growth rate of total biomass,

    which coincides with the maximum accumulation of dry matter

    in foliage, which phase is reached from 748 to 1056 C days or

    from 107 to 150 days after planting (Table 5).

    Phase 3, of senescence goes from the maximum growth rate

    of foliage to the end of the cropping cycle or to senescence,and corresponds to 11441628 Cdays (Table 5). This phase

    is reached when at least half of the foliage is senescent and

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    Fig. 2. Dynamic of dry matter accumulation; observed values (circles) and curves fitted to observed values with Beta function in total biomass plant (solid line),

    tubers (dotted line), shoots (dashed line) and roots (dasheddotdot line). Andean potatoes: S. t. ssp. tuberosum (A; TUB), S. juzepckzukii (B; JUZ) and S. t. ssp.

    andigena (C; AND) and the other Andean tubers: Oxalis tuberosa (D; OXA), Tropaeolum tuberosum (E; TRO) and Ullucus tuberosus (F; ULL). DAP is days after

    planting. Tt0 is thermal time with a base temperature of 0C; Tt0 is accumulated of mean temperatures (11

    C per day) from emergence.

    when the total growth and tuber curve reaches its asymptote

    plateau (Fig. 2). The final harvest usually takes place after an

    additional lag period following that phase, because at that timethe tuber skin is not yet well fixed This tuber maturity period

    allows the formation of a periderm which helps to prevent losses

    due to physical damages during harvest and storage. Such wait-

    ing period can involve 30 additional days for potatoes ( Tavares,2002).

    Table 5

    Phenological phases duration of the diverse species of Andean tubers in days after planting, days after emergence and in thermal time (base 0 C)

    Species Emergence Onset of tuberisation Maximum total growth rate Senescence

    DAP (E.S.) DAP (S.E.) [DAE] C day DAP (S.E.) [DAE] C day DAP (S.E.) [DAE] Cday

    TUB 40 (0.142) 62 (1.453) [22] 253 107 (0.577) [67] 748 144 (1.392) [104] 1144

    JUZ 40 (0.055) 76 (1.732) [36] 407 110 (0.882) [70] 781 144 (0.581) [104] 1144

    AND 40 (1.732) 70 (2.309) [30] 341 108 (1.155) [68] 759 144 (2.485) [104] 1144

    OXA 55 (1.155) 120 (1.590) [65] 726 150 (0.667) [95] 1056 192 (1.392) [137] 1518

    TRO 45 (2.309) 105 (1.155) [60] 671 145 (1.738) [100] 1001 192 (2.028) [147] 1628

    ULL 60 (1.444) 105 (2.603) [45] 505 135 (0.945) [75] 891 175 (2.887) [115] 1276

    Values based on the Beta-fitted curves in Fig. 2. DAP is days after planting and, S.E. is Standard Error, [DAE] is days after emergence. C day is the thermal time

    based on 0 C.

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    Fig. 3. Proportion of dry matter distributed daily between tubers, stems and leaves. Values obtained from Beta-curves. DAP is days after planting. Tt0 is thermal

    time wit h a base temperature of 0 C; Tt0 is accumulated of mean temperatures (11C per day) from emergence.

    3.2. Distribution of assimilates

    Fig. 3 shows the model of daily distribution of assimilates

    between the different organs such as leaves, stems and tubers

    relatively to the total. This model was based on the values fittedwith the Beta function and the phenological phases described

    above. In general, the distribution of assimilates to the tubers

    in OXA, TRO and ULL takes longer and is slower (100 DAP)

    than in potatoes (TUB, JUZ, and AND at 60 DAP). In potatoes,

    TUB is the first to start the process of translocation to the tubers,

    which is sustained over time. In all cases but OXA, leaves make

    up most of the plant fraction in the initial phenological phase,

    whereas in OXA the proportion of leaves and stems is almost

    the same during the initial phase.

    3.3. Crop growth analysis

    Several absolute and relative growth rates or growth attributes

    in Andean tuber species were obtained with CGA, includ-

    ing AGR, LAI, SLA (Fig. 4) and RGR, LMR and NAR

    (Fig. 5).

    In the first place, the general trends of curves of AGR and

    LAI present similarities in all cases and they differ little among

    species (Fig. 4(A, B and D, E) although there are some differ-ences as explained below.

    No differences in the maximum value of AGR were observed

    in potato, whereas in JUZ and AND LAI values higher than in

    TUB were found. Even though TUB has a lower LAI, the value

    of its AGR is not the lowest (Fig. 4(A and B)). This could be

    indicative of a greater efficiency of allocation of assimilates per

    leafareaforTUBcomparedtotheothertwospecies.Inthepotato

    species the maximum values of AGR and LAI are reached at the

    same time.

    Among the other Andean tubers, TRO has a higher AGR and

    a markedly higher LAI value than OXA and ULL. By contrast,

    ULL has the lowest LAI value, but its AGR is not very differentfrom the AGR in OXA. Again, this could be explained by a

    lower light use efficiency in TRO and OXA, and a better light

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    Fig. 4. Functional CropGrowth Analysis for Andean potatoes(AC): S.t. ssp. tuberosum (TUB,solid lines), S. juzepckzukii (JUZ,dotted lines) and S.t. ssp. andigena

    (AND, dashed lines); the other Andean tubers (DF): Oxalis tuberosa (OXA, solid lines), Tropaeolum tuberosum (TRO, dotted lines) and Ullucus tuberosus (ULL,

    dashed lines). Absolute Growth Rate (AGR, g/day), Leaf Area Index (LAI, m 2/m2), and Specific Leaf Area (SLA, m2/day). Values obtained from dry weight and

    leaf area data fitted with Beta function. DAP is days after planting. Tt0 is thermal time with a base of 0C; Tt0 is accumulated of mean temperatures (11

    C per day)

    from emergence.

    use by ULL. The maximum values of AGR and LAI are reachedat different times in each species (Fig. 4(D and E)).

    As compared to the potato group the other Andean tubers

    appear in general, to require a longer time to reach the maxi-

    mum AGR and LAI values. Only TRO reaches a maximum LAI

    similar to that of JUZ and AND potatoes; OXAhas a LAI similar

    to that of TUB. However, all AGR values of the other Andean

    tubers are much lower than those of the potato group ( Fig. 4(A,

    B and D, E)).

    SLA values (Fig. 4(C)) tend to remain constant (plateau) dur-

    ing a major part of the cropping cycle, it changes only at the

    beginning (when it increases) and at the end of growth (when it

    decreases); the SLA values are higher for JUZ and AND than forTUB, ranging from 0.023 to 0.020 m2/g. In comparative terms,

    all tubers species other than potatoes reach SLA values lower

    than those of potatoes. The maximum SLA values in speciesother than potatoes are reached by OXA and ULL, with 0.020

    and 0.018m2/g, the lower SLA value being found in TRO, with

    a maximum value of 0.013 m2/g.

    Fig. 5 shows the evolution of RGR, LMR and NAR, through

    time. No major differences between species canbe found, except

    for differences in the times at which they reach their highest val-

    ues. These values drop at first abruptly andthen slowly. In potato,

    this drastic drop is reached 60 days after emergence whereas in

    the other tubers the drop occurs at 80 DAE. Difference in the

    RGR value among species at the beginning of the growth cycle

    (Fig. 5(D)) is observed only among the Andean tubers other than

    potatoes. There are no significant statistical differences betweenthe potatoes, however among other Andean tubers TRO shows

    the lowest RGR (Fig. 5(A and D)).

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    Fig.5. Functional CropGrowth Analysis for Andean potatoes (AC): S.t. ssp. tuberosum (TUB, solid lines), S. juzepckzukii (JUZ, dotted lines) and S.t. ssp. andigena

    (AND, dashed lines); the other Andean tubers (DF): Oxalis tuberosa (OXA, solid lines), Tropaeolum tuberosum (TRO, dotted lines) and Ullucus tuberosus (ULL,

    dashed lines). Relative growth rate (RGR, g g1 day1), Leaf mass ratio (LMR, g/g) and Net assimilation rate (NAR, g m2 day1). Values obtained from dry weight

    and leaf area data fitted with Beta function. DAP is days after planting. Tt0 is thermal time with a base of 0C; Tt0 is accumulated of mean temperatures (11

    C per

    day) from emergence.

    LMR is considered as the capacity of the plant to invest in

    potentially photosynthetic parts (leaves). Among the potatoes

    JUZ has a higher LMR value and therefore invests in more foliar

    mass, contrary to TUB and AND (Fig. 5(B)) which invest more

    in tubers. Other tubers do not differ in LMR at the beginning

    of the cycle but as the cycle advances differences occur TRO

    is presenting more foliage for the production of the same given

    total biomass (Fig. 5(E)).

    NAR relates to the capability of mass production by unit of

    leaf surface area. In terms of NAR the potato TUB is the most

    efficient although the differences with the other tubers are not

    always clearly marked (Fig. 5(C)). Potatoes evolution of NARfollows a similar tendency as the other tubers but with a greater

    duration of evolution through the time (Fig. 5(F)).

    A global analysis including several parameters (growth rates,

    etc.) obtained from CGA, shows that rates change according to

    the moment and the species. Comparison of their values can be

    done at given fixed moments such as at the end (final value) or

    at a point near the maximum (at 102 DAP for potatoes and 133

    DAP for other Andean tubers) (Table 6).

    The potato TUB has a greater capacity for biomass produc-

    tion per surface unit area (NAR) than JUZ and AND. A lower

    proportion of foliar biomass in the total plant mass is found

    for TUB compared to JUZ and AND. The thickness of leaves

    (1/SLA) is lower for TUB (P < 0.05) than for AND and JUZ.

    These characteristics (lower NAR, smaller SLA) are associatedwith a lower RGR resulting in a lower efficiency in the gen-

    eration of total biomass. However, JUZ presents a high RGR

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    Table 6

    Comparison of the values of the Relative Growth Rate (RGR), Net Assimilation

    Rate (NAR), Leaf Mass Ratio (LMR) andSpecific Leaf Area (SLA),for the102

    DAP in potatoes and 133 DAP for other Andean tubers

    Species RGR (g/g) =NAR (g/m2)LMR (g/g)SLA (m2/g)

    TUB 0.032 6.65 0.23 0.021

    JUZ 0.035 4.39 0.35 0.023

    AND 0.033 5.04 0.28 0.024

    E.S. (0.0010) (1.67) (0.03) (0.0007)

    OXA 0.031 4.27 0.34 0.022

    TRO 0.026 3.57 0.54 0.013

    ULL 0.027 4.67 0.30 0.019

    S.E. (0.0018) (0.32) (0.07) (0.0024)

    The data come from the curves of Figs. 4 and 5. S.E. is the Standard Error

    between the species of potato and other Andean tubers, respectively.

    but with a greater allocation of assimilates to the leaves (LMR),

    which could affect negatively the tuber yields. TRO presents asmaller NAR than the others (OXA and ULL) but with a very

    high LMR, a low SLA and a low RGR similar to ULL. In spite

    of having a high LAI, TRO allocates more assimilates to the

    foliage that to the tubers (Table 6).

    4. Measurements of the photosynthetic mechanisms of

    the plant and light use efficiency

    4.1. Relationship between LAI and GC

    The relationships between LAI and GC (ground cover) have

    beenstudied by several authors. Exponential type functions,pro-posed by Jefferies and Mackerron (1989), Kooman (1995), are

    presented for reference purposes in Fig. 6. Other researchers

    such as Haverkort et al. (1991) and Tourneux et al. (2003) estab-

    lished a linear relationship between LAI and GC, determining

    that GC equals one-third of LAI (for LAI values 3). The frac-

    tion of intercepted light was found to be equal to GC obtained

    by measurements of the ground cover with a grid or leaf canopy

    Table 7

    Mean values of the coefficients of the exponential function resulting from the

    regression between LAI and GC proposed by Jefferies and Mackerron (1989),

    and Kooman (1995)

    Species Coefficients of the function y = a c exp(bx)

    and coefficient of determinationa c b R2

    TUB 0.50 (0.13) 0.51 (0.12) 0.96 (0.78) 0.88

    JUZ 0.70 (0.35) 0.75 (0.32) 0.45 (0.46) 0.90

    AND 0.85 (0.44) 0.90 (0.40) 0.38 (0.37) 0.87

    OXA 0.70 (0.49) 0.73 (0.46) 0.40 (0.46) 0.81

    TRO 1.00 (0.25) 1.01 (0.23) 0.36 (0.19) 0.90

    ULL 0.50 (0.33) 0.54 (0.31) 1.18 (1.41) 0.89

    General 1.00 (0.21) 1.01 (0.20) 0.29 (0.10) 0.86

    Standard Error values appear in brackets.

    intercepting light (Haverkort et al., 1991). The purpose of these

    relationships is to determine, by LAI measurements or sim-ple measurements of GC the fraction of light intercepted, with

    which we can subsequently find the amount of photosyntheti-

    cally active radiation intercepted by the plants.

    Table 7 shows the coefficients obtained by regression when

    fitting the exponential function y = a c exp(bx) where: y

    is GC; a is the maximum value of GC; c is the intercept of the

    relation log(ya) onx; b is the curves slope or the coefficient of

    extinction;x is the LAI. In broad terms, it can be established that,

    of the values of coefficients a and c are quite close to each other,

    as also indicated in the bibliography (Jefferies and Mackerron,

    1989). Such a result is also quite logical since we expect y = 0

    for x = 0.The value of a (maximum value reached by GC) is consid-

    ered to be a characteristic of each species. Thus, TRO reaches a

    maximum GC value of 1, whereas the lowest of these values is

    found in the TUB potato and in ULL, with a maximum GC value

    of 0.5. The highest values of b, are found for ULL (1.18) and

    TUB (0.96), i.e., their coefficient of extinction related to LAI

    (bLAI) is lower than in the other species where it ranges

    Fig. 6. Relationship between ground cover (GC) and LAI (leaf area index) Exponential relationship (dotted line with GC = 11.021 exp0.29LAI) and linear

    relationship (dashed line with GC = 1/5LAI, R2 = 0.87) between GC and LAI from observed values in Andean tubers. Relationship obtained by Kooman (1995)

    is GC= 11 exp1LAI and by Jefferies and Mackerron (1989) is GC=0.931.03 exp0.746LAI.

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    Fig. 7. Relationship between intercepted PAR (MJ/m2) and total dry matter (kg/ha). Dashed line corresponds to LUE for Andean potatoes (2.69 g/MJ) and dotted

    line to LUE for the other Andean tubers (1.52g/MJ).

    from 0.36 to 0.45, the lowest value of b being observed for TRO

    and potato AND. The coefficients of determination correspond-

    ing to these regressions reach values higher than 0.81. When we

    ceasetoapplytheGClimitperspecies,thatis a =1,andmergeall

    the species in a single data cloud, we obtain the general function

    shown in Table 7 and applicable to all Andean tubers.

    Fig.6 shows thedistribution of the observationspoints of LAI

    and GC used to fit the general function for all species. Coeffi-

    cients a and c tend to the value of 1, coinciding with Kooman

    (1995) and to what is logically expected as mentioned above.

    By contrast the slope is lower than the value of 1 reported for

    instance by Kooman (1995), reaching a value of 0.29. Large

    differences occur between this general value and the values

    obtained separately by species.

    The slope of the relationship between LAI and GC is lower

    than in Kooman (1995) or Jefferies and Mackerrons (1989)

    theoretical function. This may be explained by the mean tem-

    perature at which the trials were conducted (11 C daily mean),

    which is significantly different from the ttemperatures between

    17 and 25 C under which the work of these other researchers

    was conducted. These temperatures may have promoted a faster

    leaf development, something that does not occur in the areas

    of production of Andean tubers. This faster development may

    have influenced plant architecture and favoured more horizon-tal leaves, more opened plants (leaning stems) and therefore

    a higher extinction coefficient. In our conditions the opposite

    could have occurred resulting in lower extinction coefficient

    and lower ground cover for a given LAI. Such differences in

    architecture are also observed among species in our trials. For

    instance, TUB and ULL have a low LAI but the same GC value

    as species with a higher LAI in the initial part of the curve and

    they appear to have an angle of foliar insertion more horizontal

    but in absence of precise determination of canopy architecture

    features this remains speculative. When all species were sub-

    jected to a linear regression analysis, the simple relationship

    GC = LAI/5 with R2

    = 0.87 was found, which is different fromthe relation GC= LAI/3 (Fig. 6) found by Haverkort et al. (1991)

    and Tourneux et al. (2003).

    4.2. Light use efficiency

    The relation between accumulated data of intercepted PAR

    and total dry matter produced was studied by a linear regression

    analysis, as shown in Fig. 7. The intercepted PAR was deter-

    mined by the product of GC by PAR and accumulated through

    the cropping cycle (Haverkort et al., 1991). The slope of the

    regression line corresponds to light use efficiency. The slopes

    for each species were compared; few variations among potatoes

    or among the other Andean tubers were found, but there was

    a marked superiority of potatoes relatively to the other species

    (potatoes presented higher slope). Thus, data were grouped and

    two new different regression lines were calculated: one for the

    potato group and the other one for the other tubers. The LUE

    value for the potato group was 2.69 g/MJ and the LUE for oca,

    papalisa and isano was found to be 1.51 g/MJ (expressed on the

    basis on dry matter). The LUE found for potatoes is close to

    values reported by other researchers (Stol et al., 1991; Kooman

    and Haverkort, 1995). Thus, compared to potatoes, the other

    Andean tubers have a lower LUE, a smaller maximum GC and

    GC values close to the maximum values are maintained only

    for a short duration of time Maximum GC values were 0.6 and

    0.4 for OXA and ULL, respectively. All of them but TRO fail

    to achieve complete GC (GC values do not reach 1), their NARis low (Fig. 5(F) and Table 6) and the resulting productivity is

    small.

    5. Conclusions

    We characterised the agrophysiological behaviour of Andean

    tubers and quantitatively determined their growth dynamics

    under the climatical constraints encountered in the different sites

    of experiment which can be considered as representative of the

    typical zones where Andeantubers are grown. Our objective was

    not to study in details the impact of variations in these climatical

    constraints or the effects of specific events such as frosts or (asin Tourneux et al., 2003) water stress. Significant differences

    between species were found for their agronomic characteris-

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    tics such as yield, harvest index and dry matter concentration

    in tubers. Tuber yields were clearly above the national figures

    commonly reported; this is due to the optimum management

    conditions of the trials. Isano has a higher fresh tuber yield than

    the other Andean tubers, including potato, however, it should

    be mentioned that this apparent advantage results from the large

    amount of water that isano accumulates in its tubers with only

    8% of dry matter. When the tuber dry yields of isano and of other

    Andean tuber species such as oca and papalisa, are compared

    they do not differ despite the lower harvest index of isano. The

    tuber dry yield of isano is lower than in the potato species ana-

    lyzed. Isano has presented the lowest harvest index. The potato

    group has the highest harvest index; the S. juzepczukii potato is

    the highest in terms of total dry matter yield. The Beta function

    proved to be useful for fitting and analyzing growth curves. In

    general, the growth of potatoes and other Andean tubers present

    similar trends; the specific difference is the longer time taken by

    the other Andean tubers in each phenological phase.The Crop Growth Analysis indicated three important char-

    acteristics differentiating the Andean tubers: the S. juzepczukii

    potato compared to other tubers species has a higher relative

    growth rate but a smaller tuber yield, due to a smaller har-

    vest index associated to a high leaf mass ratio and a very low

    net assimilation rate (NAR). The S. tuberosum sp. tuberosum

    potato has a smaller leaf area index (LAI), an higher tuber yield

    although their RGR is lower, and their NAR is very high. With

    a smaller utilisation of assimilates in foliage and a high harvest

    index S. tuberosum sp. tuberosum is the most productive sub-

    specie in relation to its relatively low LAI. Differences among

    thesespeciesmayberelatedtotheirorigin;the tuberosum used in

    this study is an improved variety selected for its yield capacity in

    higher latitudes and temperate conditions while the juzepczukii

    is a native crop that adapted itself over the years to the adverse

    climatic conditions of the Andes (frost and drought). T. tubero-

    sum or Isano has a great capacity of ground cover by foliage

    and a great LAI that is not translated in a greater tubers yield,

    it has low RGR, NAR and harvest index as compared to all the

    other species studied. In addition its allocation of biomass to the

    leaves is high as indicated by its leaf mass ratio.

    A linear and exponencial relationship were determinated; the

    coefficients of the fitted equations vary especially on the slopes

    among the species of Andean tubers. The slopes of the equation

    describing the relationship between LAI and GC (light inter-ception fraction) values are lower in the tubers grown in the

    Andes as compared to the values reported for potato elsewhere

    due to lower local temperatures (11 C average), and probably

    to the architecture of the Andean tuber plants (high stems and

    horizontal dispositions of leaves).

    The value of light use efficiency, found for the potato variety

    used in this study was similar to those reported in the bibliog-

    raphy for potatoes. The other Andean tubers have lower LUE

    values. A high tuber yield is not only determined by a high LUE.

    The lower HI values found for Andean tubers contributed also to

    their lower yield. Duration of light interception or maintenance

    of maximum LAI values tended to be lesser in our conditions,characters of the foliar system such as high LAI, low SLA and

    LMR). also playeda role in some cases to explain the differences

    of yield obtained but not systematically (higher LAI were not

    necessarily associated with higher yields and vice versa).

    Thischaracterisation of agrophysiological parametersand the

    development of growth of Andean tubers will be useful for a

    better knowledge, to improve their management and to build a

    simple model of these traditional crops for the region. Testing

    the behaviour of the different tubers under the stress conditions

    commonly found in the regions of cultivation remains to be

    conducted.

    Acknowledgements

    The field experiments in Bolivia were conducted with the

    team of researchers of Foundation Proinpa. The Universite

    catholique de Louvain, UCL, Belgium attributed a fellowship

    to B. Condori. The International Potato Centre CIP contributed

    through the projects Papa Andina y ALTAGRO to the finalisa-

    tion and revision of this paper. The authors thank all those who

    made this work possible.

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